Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?
Answer:
First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.
This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!
Step-by-step explanation:
Find the sum: (x3 + 3x2 + x + 1) + (2x3 - 2x2 - 2x + 2).
Answer: 3 3+ 2−+3
Step-by-step explanation:
You saved $180 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the original cost of the laptop.
Answer:
$900
Step-by-step explanation:
$180 divided by 0.20 is $900
A percentage is a way to describe a part of a whole. The original cost of the laptop is $900.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the original cost of the laptop be represented by x.
Given that you saved $180 on your new laptop, which is a 20% saving from the original price. Therefore, the percentage can be written as,
20% of original price = $180
(20/100) × x = $180
x = ($180×100)/20
x = $900
Hence, the original cost of the laptop is $900.
Learn more about Percentages here:
https://brainly.com/question/6972121
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someone help pls and thanks
Let corn denote per capita consumption of corn in bushels at the county level, let price be the price per bushel of corn, let income denote per capita county income, and let rainf all be inches of rainfall during the last corn-growing season. The following simultaneous equations model imposes the equilibrium condition that supply equals demand:
corn = alpha1 price + beta1 income + mu1
corn = alpha2 price + beta2 rainfall + gamma rainfall2 + mu2
Which is the supply equation, and which is the demand equation? Explain.
Answer:
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply
Step-by-step explanation:
Given
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]
Required
Identify the demand and the supply equation.
To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.
For (1):
[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]
We have: Price and Income
For (2):
[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]
We have: Price and Rainfall
In (1), price and income determines the demand of a product.
Hence, (1) represents the demand equation
In (2), price and weather condition (rainfall) determines the supply of a product.
Hence, (2) represents the supply equation.
A helicopter hovers 1100 The above a small island the figure shows the angle of depression from the helicopter to point P is 46° how far off the coast to the nearest foot is the island?
Answer:
1232 ft
Step-by-step explanation:
Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.
The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.
Ismail school is at the corner of high Street and second Avenue. The corner forms a right angle. How might he describe the way the street meet at his school?
Answer:
Step-by-step explanation:
street never meet
What is the answer to this problem?
Answer:
[tex]r=\dfrac{2}{3}\ yards[/tex]
Step-by-step explanation:
Given that,
The volume of a sphere is, [tex]V=\dfrac{32}{81}\pi[/tex] cubic yards
We need to find the radius of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^2[/tex]
Put all the values,
[tex]\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards[/tex]
So, the radius of the sphere is equal to [tex]\dfrac{2}{3}\ yards[/tex].
Sort these fractions in ascending order.
4/5
3/7
1/6
2/3
Answer:
1/6, 3/7, 2/3, 4/5
Step-by-step explanation:
Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta
Answer:
Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta
Expand the following expression
(x + 2)(x² – 3x - 1)
Answer:
[tex]x^{3} - x^{2} - 7x -2[/tex]
Step-by-step explanation:
Give me brainllest
Answer:
[tex] {x}^{3} - {x}^{2} - 7x - 2[/tex]
Step-by-step explanation:
[tex](x + 2)( {x}^{2} - 3x - 1)[/tex]
Multiply the first term.
[tex]x \times {x}^{2} = {x}^{3} [/tex]
Multiply x by everything on the right, dont do x squared we already done that.
[tex]x \times - 3x = - 3 {x}^{2} [/tex]
[tex]x \times - 1 = - x[/tex]
Multiply 2 by everything on the left expect -1. ( that our next step).
[tex]2 \times {x}^{2} = 2 {x}^{2} [/tex]
[tex]2 \times - 3x = - 6x[/tex]
Multiply the last term, 2 and -1.
[tex]2 \times - 1 = - 2[/tex]
Add like with like.
[tex] {x}^{3} - {x}^{2} - 7x - 2[/tex]
Find two numbers that multiply to 11 and add to -12
In which quadrant does the point (-1, 24) lie?
OA.
Quadrant 1
OB. Quadrant II
OC. Quadrant IV
D. Quadrant III
What is 5350 in scientific notation?? (Thank you so much for the help!)
Answer:
5.35x10^3
Step-by-step explanation:
Tom has finished 75% of a 12 mile run. How many miles has he run so far?
Answer: Tom has run 9 miles so far
Step-by-step explanation:
3/4 of 12 if equal to 9
Answer:
9 miles
Step-by-step explanation:
3 is 25 percent of 12.
to figure out how much he runs in 755 of two miles you multiply 3x3=9.
no more chocolate or transporters
Answer:
thats absolutely right
Answer:
huh?
Step-by-step explanation:
did you forget a pic?
Question 3 of 10
When the input is x = 0 for the parent function f(x) = 2*, what is the output?
A. f(x) = 2
B. f(x) = 1
C. f(x) = 0
D. f(x) = 3
Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 102t +
1
2
t2 − t3, 0 ≤ t ≤ 8.
What is the area of this polygon? Im really bad a geometry so can I have help please.
A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas
occupy if the pressure is increased by 25 kPa?
Recall the ideal gas law:
P V = n R T
where
P = pressure
V = volume
n = number of gas molecules
R = ideal gas constant
T = temperature
If both n and T are fixed, then n R T is a constant quantity, so for two pressure-volume pairs (P₁, V₁) and (P₂, V₂), you have
P₁ V₁ = P₂ V₂
(since both are equal to n R T )
Solve for V₂ :
V₂ = P₁ V₁ / P₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL
What is the answer please help me no links I will report because it’s not ok
Write 44 as a product of primes. Use index notation
Answer:
2 x 2 x 11 or 2^2 x 11
Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.26
Please explain. will give brainliest
Answer:
[tex]parallelogram \: area = 9.5 \times 13 = 123.5[/tex]
Answer:
A. 123.5
Step-by-step explanation:
The formula for a parallelogram is A=bh
So, if you plug in both numbers you get
A=9.5*13
9.5*13 is 123.5
A is correct
I hope this helps!
in which is the vaule of the 6 ten times the vaule of the 6 in the number 6000
Answer:
Consider matrix A.
What is the inverse of A? Fill in the missing elements in the matrixs.
Step-by-step explanation:
Consider matrix A.
What is the inverse of A? Fill in the missing elements in the matrixs.
Answer:
Hello! Your answer would be, 600
Step-by-step explanation:
if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby
if jose says that 75% of his class of 28 students rides the bus every day, how many students rides the bus?
Answer:
21 students ride the bus
Rectangle VWXY is dilated by a scale factor of 2 to form rectangle V'W'X'Y'. Side X'Y'
measures 22. What is the measure of side XY?
9514 1404 393
Answer:
11
Step-by-step explanation:
X'Y' = 2XY . . . . lengths are related by the dilation factor
22 = 2XY . . . substitute the given value
11 = XY . . . . . divide by 2
The measure of side XY is 11.
The figures in the picture are similar to each other. Find the value of x, rounded to the nearest whole number.
Answer:
x=5
Step-by-step explanation:
2(x-1)=x+3
x=5
(5-1)=4
4*2=8
5+3=8
ANSWER 5
Have a great day!
what would this be??
Answer:
The area would be 15.75 feet squared!
(4+5/2)(3.5) = 15.75
solve the system of inequalities:
3x-10<0
2x>0
HELPPP WILL MARK BRAINLIEST
Answer:
Solve each inequality and combine solutions:
3x - 10 < 0 ⇒ 3x < 10 ⇒ x < 10/3 2x > 0 ⇒ x > 0Combination of the two is:
0 < x < 10/3or
x ∈ (0, 10/3)Answer: <0<x<10/3
Step-by-step explanation:
Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?
Given:
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'. So,
[tex]E'F'=\dfrac{3}{4}\times EF[/tex]
From the given figure it is clear that [tex]EF=12[/tex]. So,
[tex]E'F'=\dfrac{3}{4}\times 12[/tex]
[tex]E'F'=9[/tex]
Therefore, the measure of side E'F' is 9 units.