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2 years ago

RS=4y+4, ST=3y+4, and RT=43 What is the value of y?

Mathematics

1 answer:

Shkiper50 [21]2 years ago

5 0

The value of y is 5

<h3>How to determine the value </h3>

From the given line, it can be concluded that:

The segment RT is divided into RS and ST

But we have the following parameters

The length of the sides are:

RS=4y+4
ST=3y+4
RT=43

Since RT is RS added to ST:

We have;

RT = RS + ST

substitute the values

43 = 4y + 4 + 3y + 4

collect like terms

43 = 4y + 3y + 4 + 4

Add like terms

43 = 7y + 8

Make '7y' subject of formula

7y = 43 - 8

7y = 35

Make 'y' the subject of formula

y = 35/ 7

y = 5

Thus, the value of y is 5

Learn more about segments here:

brainly.com/question/2437195

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(A)

$(t_0,P_0)=(0,900)$

$(t_1,P_1)=(3,1500)$

(B)

$m=200$

(C)

$P=200t+900$

(D)

The high school's enrollment in 2017 is 2500

Step-by-step explanation:

Let's assume time starts since 2009

so, In 2009 , t=0

P=900

In 2012,

t=2012-2009=3

P=1500

(A)

So, we have points as

$(t_0,P_0)=(0,900)$

$(t_1,P_1)=(3,1500)$

(B)

we can use slope formula

$m=\frac{P_2-P_2}{t_2-t_1}$

we can plug values

$m=\frac{1500-900}{3-0}$

$m=200$

we know that

slope is rate of change of P with respect to time

so, slope means increase in population is 200 per year

(C)

we can use point slope form of line

$y-y_1=m(x-x_1)$

$m=200$

$(t_0,P_0)=(0,900)$

$P-900=200(t-0)$

$P=200t+900$

(D)

In 2017 ,

t=2017-2009=8

we can plug t=8

and we get

$P=200(8)+900$

$P=2500$

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