Answer:
por no esudiar
If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Work out the size of angle x
Pls help thx !
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
someone help please, giving brainlist to anyone who answers <3
Answer:
65 seats
Step-by-step explanation:
1. Approach
To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).
2.Find the rate at which seats are added
One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,
(3, 31), (6, 37)
Where (x) is the row number and (y) is the number of seats.
To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute in the given information and solve for the rate of change,
[tex]\frac{37-31}{6-3}[/tex]
Simplify,
[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]
Seats are added at a rate of (2) seats per row.
3. Find the equation
The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,
[tex]y=mx+b[/tex]
Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,
[tex]y=2x+b[/tex]
One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,
[tex](31)=2(3)+b[/tex]
Simplify,
[tex]31 = 6+b[/tex]
Inverse operations,
[tex]31=6+b\\25=b[/tex]
Substitute this into the equation to complete the equation,
[tex]y=2x+25[/tex]
4.Find how many seats are in the row (20)
Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.
[tex]y=2x+25[/tex]
[tex]y=2(20)+25[/tex]
Simplify,
[tex]y=2(20)+25\\y=40+25\\y=65[/tex]
Alexis and Mariana are hiking. Alexis climbs to the
top of a ridge 417 feet above sea level. Mariana goes to
the bottom of a valley, 30 feet below sea level. What is
the vertical distance between Alexis and Mariana?
Answer:
447 ft
Step-by-step explanation:
Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447
Please help. Explain as well
Answer:
Angle 1 is 105°
Angle 2 is 75°
Step-by-step explanation:
Angle 2 is the same angle as angle 6 which is 75°
Angle 1 can be found by subtracting 75° (angle 2) from 180° which is the angle of a straight line. Which equals 105°.
Hope this helps! :)
Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C
Answer:
sin of 90 is 1
Step-by-step explanation:
sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)
how do i solve this x^2 −12x+36=0
Step-by-step explanation:
x^2-6x-6x+36=0
x(x-6)-6(x-6)=0
(x-6)(x-6)=0
x=6
a circle has a diameter of 4.5 inches what is the circumference
Answer:
c = 4.5π inches exact answer
c = 14.13 inches decimal approximation
Step-by-step explanation:
c = πd
c = 4.5π exact answer
using 3.14 for π
c = 3.14 * 4.5
c = 14.13 decimal approximation
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
Point M is located at 6,7).
y
9-
А
8+
7+
B В
6
5-
4-
3
2+
2
.
1
1
a
2 3 4
5
6
7
8 9
What is located 3 units from point M?
A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?
Answer:
Top right
Step-by-step explanation:
I did it before
Answer:
TOP RIGHT
Step-by-step explanation:
:)
On a coordinate plane, a line goes through points (negative 2, 1) and (0, negative 3). Y = negative StartFraction 2 Over 9 EndFraction x + 2.
Two separate linear functions are expressed by the graph and by the equation. Select all that apply.
The slope is negative for both functions.
The equation has a steeper slope than the line in the graph.
The slope of the line in the graph is -2.
The graph and the equation express an equivalent function
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
Answer:
Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
got it right on the quiz!!!
Can someone please help me I don’t understand this at all
Answer:
140.3 ft³
Step-by-step explanation:
Volume of cylinder = πr²h
= π x 1.5² x 4
= 28.3 ft³
P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft
Volume of cuboid = lwh
= 7 x 4 x 4
= 112 ft³
Total volume = 112 + 28.3 = 140.3
Hope this helps!
what is what is 2000 * 3000
Answer:
600,000
Step-by-step explanation:
Answer:
6,000,000
Step-by-step explanation:
Simply put: Multiply 2 • 3
Then add the zeros, there are 6 zeros total, so just add them to the 6. boom! 6,000,000. Or just use a calculator ;)
Hope this helps!
MATH HELP FAST PLEASE
Answer:
Angle 1 and Angle 2
Step-by-step explanation:
Adjacent supplement angles are a pair of angles that have a sum of 180 degrees and are adjacent to each other
Answer:
not sure look at the image please
Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0
Answer:
d. x9 + x3 – 10 = 0
In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.
Answer:
29 feets 3 inches
Step-by-step explanation:
We need to obtain the actual height of oak tree :
Converting measurement to inches :.
1 Feet = 12 inches
Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in
Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in
Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in
Let actual tree height = TH
Using the relation :
SA / SS = TH / TS
70 / 90 = TH / 891
Cross multiply :
90 * TH = 891 * 70
TH = (891 * 70) / 90
TH = 693 inches
Height of house = 28ft 6 in = (28*12 + 6) = 342 in
Height difference :
(693 - 342) in = 351 inches
351 in / 12 = 29 feets 3 inches
Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the concept of similar shapes to solve this problem.
Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.
Now,
The first container has a height of h1 and can hold v1 units of liquid.
Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.
So,
h2/h1 = (volume of container 2) / (volume of container 1)
Solving for the volume of container 2.
(volume of container 2) = (h2/h1) x (volume of container 1)
Substituting the given values, we get:
(volume of container 2) = (h2/3) x (1000)
where we have converted 1 liter to 1000 cubic centimeters.
Simplifying this expression.
(volume of container 2) = (1000/3) x h2
Therefore,
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?
Can you please help me with this?
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.
The ladder will reach a height of 20.6 feet
The given parameters are:
Length = 45-footHeight = 27 feetStart by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem
[tex]45^2 = 27^2 +d^2[/tex]
Collect like terms
[tex]d^2= 45^2 -27^2[/tex]
[tex]d^2= 1296[/tex]
Take square roots of both sides
[tex]d= 36[/tex]
When the ladder is moved 4 feet farther, the new distance becomes
[tex]d= 36+4[/tex]
[tex]d= 40[/tex]
The new height (h) of the ladder is then calculated using the following Pythagoras theorem
[tex]45^2=40^2 + h^2[/tex]
Collect like terms
[tex]h^2 = 45^2-40^2[/tex]
[tex]h^2 = 425[/tex]
Take the square roots of both sides
[tex]h = 20.6[/tex]
Hence, the ladder will reach a height of 20.6 feet
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
first answer gets most brainley
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
what do you call tha tool that can be used to collect data?__________
Answer:
pendrive, memory, chip
does the equation define y as a function of x? y^2 = 7 - x^2
What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work
Answer:
The answer is B) John earns $14.00 for two hours of work.
Please someone help quickly!!!
Answer:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Step-by-step explanation:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]
Answer:
option b) -2/5
Step-by-step explanation:
Using the rule :
[tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]
[tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]
[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]
Answer:
[tex]\sqrt[3]{-\frac{8}{125} }[/tex]
[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]So, your answer is B) - 2/5
-----------------------------
hope it helps...
have a great day!!
The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is arithmetic? If it is geometric?
Answer:
if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)
where n is the number of term.
the 4th term is 125
if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)
where n is the number of term
the 4th term is 75
Assignment is due soon!