Answer:
Answer 1.
Step-by-step explanation:
The complete question is:
The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?
1. The image of the line has the same slope as the pre-image but a different y-intercept.
2. The image of the line has the same y-intercept as the pre-image but a different slope.
3. The image of the line has the same slope and the same y-intercept as the pre-image.
4. The image of the line has a different slope and a different y-intercept from the pre-image.
Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).
Consider also a line of equation 
. From this equation, the slope of the line is given by the number 
and the y-intercept is given by 
.
Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get
which is equivalent to
Note that comparing the equations 3x-5y=4 and 
the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.
Answer:
Step-by-step explanation:
r = 0.9 m
h = 3.6 m
Area of two circle faces combined: 2*π(0.9)^2 = 1.62π
Lateral area = circumference*height = 2π(0.9)(3.6) = 6.48π
Surface Area = 1.62π + 6.48π = 8.1π m sq.
5/8 cups of milk because 1 1/4 divided by 2 is 0.625, which as a fraction is 5/8.
Answer:
<em>Martin saved $75 on the television because of the sale</em>
Step-by-step explanation:
<u>Equations</u>
Let's call x=the original price of the television (before discount).
The television had been on sale for 25% off, this means the discount was:
25% of x = 
= 0.25x
The sale price was the original price minus the discount:
x - 0.25x = 0.75x
This is what Martin paid, thus:
0.75x = 225
Dividing by 0.75:
x = 225 / 0.75
x = $300
The original price of the television was $300, and the discount was:
0.25*$300 = $75
Martin saved $75 on the television because of the sale
So, The dots represent the children.
And the numbers represent the length in.
I wouldnt say its D.
I would say its C. Group B, because 4 kids have forearm length longer then 13 in.
