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3 votes
100 points please help me, 3 math equations​

100 points please help me, 3 math equations​-example-1

2 Answers

1 vote

Answer:

3. a. Each side of the garden is 2x+7 ft

4. B 9a^2 -30a +25

5. B prime

Explanation:

3. A = 4x^2 +28x+49

Factor

a^2 +2ab +b^2 = (a+b)^2

a =2x and b = 7 2ab = 2 *14x = 28x

A = (2x+7) ^2

We need to take the square root since the garden is square

A = s^2 = (2x+7) ^2

s = (2x+7)

Each side of the garden is 2x+7 ft

4. Perfect square trinomial

a^2 +2ab +b^2 = (a+b)^2

or

a^2 -2ab +b^2 = (a-b)^2

Options C and D do not fit these patterns so they do not work

A 49x^2 -28x +16

a=7x b =4 2ab = 2*7x*4 = 56x This does not work

B 9a^2 -30a +25

a = 3a b = 5 2ab = 2*3a*5 = 30

(3a-5)^2 This is a perfect square trinominal)

5.x^2 -7x-10

What 2 numbers multiply to -10 and add to -7

-5*2 = -10 but -5+2 = -3

-10 *1 = -10 but -10+1 = -9

-2*5 = -10 but -2+5 = 3

-1 *10 = -10 but -1+10 = 9

These are all the factors of 10 so we cannot factor

This is prime

User Xronx
by
5.1k points
2 votes

Answer:

3. 2x+7

4. 9a²-30a+25

5. Prime

Explanation:

1. For the Sam builds a garden question

4x²+28x+49 (You just factorise it)

So 4x²+28x+49 = (2x+7)(2x+7)

So the answer is 2x+7

2. 9a²-30a+25 is the answer.

3. Prime

User Antonyoni
by
4.4k points