Answers
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
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Related Questions
Can someone help with these 2 questions please :) or 1 whichever one u know
1. Overall, how successful were resistors to Spanish colonial rule? What factors prevented them from being more successful?
2. What lasting impacts do you think Spanish colonial rule will have on Native American cultures and civilizations? Explain.
Answers
After conquering indigenous civilizations in Mexico and South America, Spanish Colonial Rule became wealthy thanks to the gold and silver it discovered.
What is Spanish Colonial Rule?The objectives of Spanish Colonial Rule were to take gold and silver from the Americas, to boost the Spanish economy, and to increase Spain's might. Additionally, Spain sought to evangelize Native Americans.
Further Spanish conquistadors, who were mostly poor nobility from Spain's destitute west and south, were able to conquer the vast empires of the New World with the aid of sickness (which reduced native resistance), superior military equipment, and tactical strategies such as surprise attacks and strong.
However, it was challenging to convince immigrants to colonize there due to friction with the local Indian population and the absence of significant silver or gold discoveries.
Thus these are the most leading factors that prevent to become more successful for Spanish Colonial Rule.
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What is 10/83 simplified
Answers
Answer:
5/19
Step-by-step explanation:
To identify if a fraction is further divisible or not, we find a common number that the numerator and denominator both can be divided by. In this case, 10/83 cannot be commonly divided any further than it is. Therefore, the fraction is in its simplest form.
Question 3
Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
BIU X² X₂ 10pt
Help !!!
Answers
The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.
What do you meant by quadratic equation ?[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]
[tex]$3 x^2+4 x+4=0$[/tex]
Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]
Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]
[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]
Distinguish the answers
[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]
The following are the quadratic equation's solutions:
[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]
2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]
[tex]$3 y^2+2 x+4=0$[/tex]
[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.
Rewrite [tex]$3 y^2+2 x+4=0$[/tex] using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]
The following are characteristics of parabolas:
[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]
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Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
3 is divided by the difference of 4 and a number.
Answer:
Submit Answer
Il
DELL
******
attempt 1 out of 2
Answers
The given statement can be written as expression given by -
y = 3 ÷ (4 - x)
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the statement as -
"3 is divided by the difference of 4 and a number"
Assume the number to be {x}. Then, we can write the expression as -
3 ÷ (4 - x)
Let this expression is equivalent to {y}. We can write -
y = 3 ÷ (4 - x)
Therefore, the given statement can be written as expression given by -
y = 3 ÷ (4 - x)
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A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds
Answers
Answer:
C
Step-by-step explanation:
1 pound sand for 1 2/3 pounds gravel.
1 pound gravel for 2/5 pound cement.
3 pounds sand = 3× 1 2/3 = 3 6/3 = 3+2 =
= 5 pounds gravel.
5 pounds gravel = 5 × 2/5 = 2 pounds of cement
A line passes through the point (4,-7) and has a slope of -1/2.
Click “show your work” below and show work to write the equation of the line in point-slope form.
Answers
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
Slope "m"
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~
( 4 , - 7 )
m = [tex]-\frac{1}{2}[/tex]
y - ( - 7 ) = [tex]-\frac{1}{2}[/tex] ( x - 4 )
y + 7 = [tex]-\frac{1}{2}[/tex] ( x - 4 )
AMERICA EATS 350 PIZZA SLICES EVERY SECOND HOW MANY DO THEY EAT IN HALF IN HOUR
Answers
630,000
Step-by-step explanation:
350x60=21,000
21,000x30=630,000
In a week, an airline operates a flight from San Francisco to New York once a day. The total travel times for this week are:
Sunday: 343 min.
Monday: 314 min.
Tuesday: 401 min.
Wednesday: 341 min.
Thursday: 359 min.
Friday: 407 min.
Saturday: 378 min.
What was the range of flight times for the route that week?
a. 66 min
b. 93 min
c. 29 min
d. 87 min
Answers
Answer:
To find the range of flight times, you need to find the difference between the shortest and longest flight times. The shortest flight time was on Monday at 314 minutes, and the longest flight time was on Friday at 407 minutes. The range is 407 - 314 = 93 minutes. The correct answer is therefore (b) 93 min.
Step-by-step explanation:
The average age of Elliot, Miya and Cara is 4 years more than the average
age of Elliot and Miya.
Cara is 9 years older than Elliot.
Four years ago, Elliot was double the age of Miya.
Work out the ages of Elliot, Miya and Cara.
Answers
Answer:
Elliot = 16 years old
Miya = 10 years old
Cara = 25 years old
Step-by-step explanation:
Define the variables:
x = Elliot's agey = Miya's agez = Cara's ageThe average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:
[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4[/tex]
[tex]\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}[/tex]
[tex]\implies 2(x+y+z)=3(x+y+8)[/tex]
[tex]\implies 2x+2y+2z=3x+3y+24[/tex]
[tex]\implies 2z=x+y+24[/tex]
[tex]\implies x=2z-y-24[/tex]
Cara is 9 years older than Elliot:
[tex]\implies z = x + 9[/tex]
Four years ago, Elliot was double the age of Miya:
[tex]\implies (x - 4) = 2(y - 4)[/tex]
[tex]\implies x - 4 = 2y-8[/tex]
[tex]\implies x +4 = 2y[/tex]
[tex]\implies y=\dfrac{1}{2}x +2[/tex]
Substitute the equations for z and y into the equation for x and solve for x:
[tex]\implies x=2z-y-24[/tex]
[tex]\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24[/tex]
[tex]\implies x=\dfrac{3}{2}x-8[/tex]
[tex]\implies \dfrac{1}{2}x=8[/tex]
[tex]\implies x=16[/tex]
Substitute the found value of x into the equation for z and solve for z:
[tex]\implies z = 16 + 9[/tex]
[tex]\implies z = 25[/tex]
Substitute the found value of x into the equation for y and solve for y:
[tex]\implies y=\dfrac{1}{2}(16) +2[/tex]
[tex]\implies y=8+2[/tex]
[tex]\implies y=10[/tex]
Therefore, the ages of Elliot, Miya and Cara are:
Elliot = 16 years oldMiya = 10 years oldCara = 25 years oldPLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answers
Answer:3.8
Step-by-step explanation:
Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?
Answers
Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The amount is not given for each hot dog, hamburger and potatos.
But Ellie brought 2 packs of hot dogs ,
3 lbs of hamburger, and
2 lbs. of potato salad
Let us consider each hot dog is $6
Hamburger is $5.6 and potatoes is $4.5
Total amount is 2(6)+3(5.6)+2(4.5)
12+16.8+9
$37.8
Hence, Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
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T:
Change each denominator to the given denominator. Check if the domain changed.
If yes, state the changes.
12
y = x
x-y
to a denominator of x - y
The domain of the expression
Answers
The new expression is -12/(x - y) and the domain is x ≠ y
How to change the denominator?From the question, we have the following parameters that can be used in our computation:
12/(y - x)
Multiply the fraction by 1
So, we have the following representation
12/(y - x) * 1
Express 1 as -1/-1
This gives
12/(y - x) * -1/-1
So, we have
-12/(x - y)
It should be noted that the domain remains the same
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What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8
Answers
When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.
What is the value of the expression when x = 2?Here we need to evaluate the following expression:
8x² + 6x - 8
in x = 2.
Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:
8*2² + 6*2 - 8
8*4 + 12 - 8
8*3 + 12
24 + 12 = 36
When x = 2, the expression is equal to 36.
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There are t counters in a box.
Write an expression for the total number of counters.
Answers
Answer: 4t
Step-by-step explanation:
You just do t times the amount of boxes you have, which is 4. So you have 4 times t, but in algebra, we don't write the multiplication sign. So the expression would be written as 4t. Yw!
Also please tell me if I was unhelpful/incorrect, thanks!
If anyone could and is good at angles please help? Thank you.
Answers
Answer:
A) Angle A. Angle EG.
B) Angle A and Angle F.
C) Angle EG and Angle D.
I hope this helped you!
3b. There is a line of bushes that grows along one side of Babajide's
backyard. He decides he doesn't need to buy fence for that side since there
are already bushes there. Based on that information, could you decide how
much total fencing Babajide needs? Explain why or why not.
Answers
On solving the provided question, we can say that we can assume that it is a rectangular backyard. Since no dimensions are provided therefore, neither volume nor area can be calculated.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
we can assume that it is a rectangular backyard.
since no dimensions are provided therefore, neither volume nor area can be calculated.
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2. Construct Arguments Explain why -7 has a
greater absolute value than the absolute value
of 6.
5.-9
7.1-5
9. --
11.-1
Answers
Answer:
See below
Step-by-step explanation:
Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6
13 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
5 feet deep on both sides of the street along a 2.7-mile section of a parade route.
Answers
The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.
How to calculate the crowd?The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.
Therefore;
The ratio of the number of people per unit area = 13/(5 × 5) = 13/25
The area A occupied by the crowd = 5 feet × 2.7 mile × 2
2.7 miles = 14,256 feet
∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²
We then have:
[tex]\frac{number\ of\ people}{1,42,560} = \frac{13}{25}[/tex]
∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people
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Simplify each expression (I don't know this) please help me out
Answers
Answer: solve the same variables
Step-by-step explanation:
1. 3y + 4.1
2. 4x +
3. 5x + 22½
4. 4y²
5. + 25
6. 0
A bike shop purchased 12 mountain bikes wholesale for $ 189 . They want to make a 25 % on each bike. What is the sale price of the mountain bike after markup?
Answers
The cost of the Bike wholesale after the markup is $236.25
How to determine the cost after the markupFrom the question, we have the following parameters that can be used in our computation:
Bike wholesale = $189
Markup = 25%
The cost of the bike wholesale after the markup is then calculated as
Cost = Bike wholesale * (1 + markup)
Substitute the known values in the above equation, so, we have the following representation
Cost = 189 * (1 + 25%)
Evaluate the products
Cost = 236.25
Hence, the cost is $236.25
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Before hibernation, a bear weighs 990 pounds. Its weight decreases
by 32% during hibernation. How much does the bear weigh when
it comes out of hibernation? Show your work.
Answers
Answer:316.8
Step-by-step explanation:
Answer:316.8
Step-by-step explanation:
PLSS GUYS HELP MEEEEEEEE PLS
Answers
The value of x is 10°.
What is a measure of an angle?
Since an angle is measured in degrees, the term "degree measure" is used. Since 360 degrees make up one full revolution, it is divided into 360 equal sections. A degree is what the revolution is at each stage.
Here, we have
The measure of ∠AOC is 90°.
3x° + 46° +14° = 90°
3*10° + 46 + 14° = 90°
Hence, the value of x is 10.
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The value of x is 10°.
What is a measure of an angle?Since an angle is measured in degrees, the term "degree measure" is used. Since 360 degrees make up one full revolution, it is divided into 360 equal sections. A degree is what the revolution is at each stage.
What is angle?An angle is a measure of the amount of rotation between two rays or lines that share a common endpoint, called the vertex of the angle. The two rays or lines are called the sides of the angle, and the endpoint is called the vertex.
Here, we have
The measure of ∠AOC is 90°.
3x° + 46° +14° = 90°
3*10° + 46 + 14° = 90°
Hence, the value of x is 10.
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Determine the perimeter of the right triangle shown.
24 units
10 units
8 units
6 units
Answers
Answer:
A) 24 units----------------------------------
Find the legs first:
5 - (-3) = 8 units,4 - (-2) = 6 units.Find the hypotenuse using Pythagorean:
[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]Find the perimeter:
P = 8 + 6 + 10 = 24 unitsCorrect choice is A.
Answer:
A) 24 units
Step-by-step explanation:
The perimeter of a triangle is the sum of its side lengths.
From inspection of the given right triangle:
Base = 8 unitsHeight = 6 unitsAs the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:
[tex]\implies c^2=a^2+b^2[/tex]
[tex]\implies c^2=8^2+6^2[/tex]
[tex]\implies c^2=64+36[/tex]
[tex]\implies c^2=100[/tex]
[tex]\implies c=\sqrt{100}[/tex]
[tex]\implies c=10[/tex]
Therefore, the perimeter of the given triangle is:
[tex]\implies 8+6+10=24 \; \rm units[/tex]
How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answers
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1
Please help me with this question
Answers
Answer:
Step-by-step explanation:
i have no idea
find the volume of the cylinder. use 3.14 for π. 5ft 10ft (10 is the radius) PLS HELP :(
Answers
Answer:
157[tex]ft^{3}[/tex]
Step-by-step explanation:
Volume = the area of the base times the height.
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
a = [tex]\pi[/tex][tex](5^{2})[/tex] I am going to use 3.14 for [tex]\pi[/tex]
a = 3.14(25)
a = 15.7
Volume = 15.7 x 10 = 157
Answer:
785 ft२
Step-by-step explanation:
volume =3.13*5२*10
=3.14*25*10
=785 ft२
The following equations define a system. −2x + y = 10 x + 2y = 5 Which graph represents the system? The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.
Answers
The graph of the system of linear equations is attached with the answer.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the system of linear equations as given -
- 2x + y = 10
x + 2y = 5
The given system of linear equations is -
- 2x + y = 10
x + 2y = 5
Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.
Therefore, the graph of the system of linear equations is attached with the answer.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
Answer: x = 13 and x = –29
Step-by-step explanation:i hope i help you
Answer:
To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.
Now, you can add 14x and 49 to both sides to get x^2 = 50.
To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).
And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.
Step-by-step explanation:
Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes
Answers
Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.
What is the division operation?The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).
The distance between Benjamin and Felix = 35 miles
Benjamin's jogging pace or speed = 16 minutes per mile
Felix's jogging pace or speed = 10 minutes per mile
The number of miles that Benjamin can jog in 45 minutes = Time/Speed
= 2.8125 miles (45/16)
Thus, Benjamin will jog 2.8 miles in 45 minutes.
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what is 1+2+3+4+...+1000?
Answers
Answer:
[tex]S_{1000}=500500[/tex]
Step-by-step explanation:
[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]