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lorasvet [3.4K]

3 years ago

11

Let P(2, 3) be a point on a figure. The figure is dilated by a scale factor of 4.

1 answer:

OlgaM077 [116]3 years ago

5 0

Hi there!

If (2,3) is a point and 4 is the scale factor, we need to multiply both x and y by 4 to dilate the figure. Doing this gives us (8,12).

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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3 years ago

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3 years ago

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club

ivolga24 [154]

Answer:

The system of equations are $x+y=64$ and $x=y+10$

Step-by-step explanation:

Given : There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.

To find : Write a system of linear equations that represents the situation.

Solution :

Let x represent the number of students in the drama club

and y represent the number of students in the yearbook club.

There are a total of 64 students in a drama club and a yearbook club.

i.e. $x+y=64$ ....(1)

The drama club has 10 more students than the yearbook club.

i.e. $x=y+10$ ....(2)

Substitute the value of (2) in (1),

$y+10+y=64$

$2y=54$

$y=\frac{54}{2}$

$y=27$

Substitute in (2),

$x=27+10$

$x=37$

Therefore, the system of equations are $x+y=64$ and $x=y+10$

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3 years ago