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Llana [10]
2 years ago
13

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

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

#SPJ1

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4 0
3 years ago
Read 2 more answers
The Johnsons want to cover their backyard with new grass. Their backyard is rectangular, with a length of 3x – 5 feet and a widt
kolezko [41]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. This means that the area of the backyard is

(3x - 5)(4x - 10)

= 12x² - 30x - 20x + 15

= (12x² - 50x + 15) square feet

Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is

(x + 8)(x - 2)

= x² - 2x + 8x - 16

= x² + 6x - 16

Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is

12x² - 50x + 15 - (x² + 6x - 16)

= 12x² - 50x + 15 - x² - 6x + 16

= 12x² - x² - 50x - 6x + 15 + 16

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3 0
3 years ago
What is the value of the expression 8p4
Nady [450]

ANSWER

8P_4 = 1680

EXPLANATION

We use the formula

nP_r =  \frac{n!}{(n - r)!}

For

8P_4

and n=8, r=4.

8P_4=  \frac{8!}{(8- 4)!}

This simplifies to

8P_4=  \frac{8!}{4!}

We expand the numerator using factorial notation,

8P_4=  \frac{8 \times 7 \times 6 \times 5  \times 4!}{4!}

The common factors cancel out.

8P_4=  8 \times 7 \times 6 \times 5

8P_4= 1680

3 0
3 years ago
There is a jar jelly beans on Mr Scrooge's desk 40% of the jelly beans are red if there are 55 jelly beans in the jar how many a
horsena [70]

Answer:

22 jelly beans are red.

Step-by-step explanation:

40 percent of 55 is 22 :)

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6 0
3 years ago
Section 208 of nassau veterans Memorial Coliseum has 17 rows. The first row has 13 seats in it. If you add two seats to the prev
STatiana [176]
Row 15 has 41 seats, and the entire section has 493 seats.

We can write the explicit formula for an arithmetic sequence to represent this, since we add 2 each time:

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Using 15 for n,
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To find the total number of seats, we evaluate the sum
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Using technology to evaluate this sum, it is 493.
8 0
4 years ago
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