Answer: 22, 38
3, 7
8, 12
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 22 and 38
--> 22 < P < 38
Perimeter = 2w + 2L
It is given that L = w + 5
Substitute P with 2w + 2L and substitute L with w + 5
22 < 2w + 2(w + 5) < 38
22 < 2w + 2w + 10 < 38
12 < 4w < 28
--> 3 < w < 7
Since L = w + 5, then w = L - 5
Substitute P with 2w + 2L and substitute w with L - 5
22 < 2(L - 5) + 2L < 38
22 < 2L + 2L - 10 < 38
32 < 4L < 48
--> 8 < L < 12
72+28+66+81=297
360-297=63
She would need to score 63 on her last exam.
Answer:
We conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Step-by-step explanation:
We know that the perfect square formula is
<em>(a + b)² = a² + b² + 2ab</em>
Given the equation
Let us add 4² or 16 in the equation
as <em>(a + b)² = a² + b² + 2ab, </em>so
<em />
<em />
<em />
Therefore, we conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
11. 5x^2-30=0
+30 to both sides
5x^2=30
÷5 both sides
x^2=6
square root both sides
x= +square root 6 ,- square root 6
12. 4x^2+10=26
-10 both sides
4x^2=16
÷4 both sides
x^2=4
square root both sides
x=+2,-2
13. a=72yrd^2
l=2w
w=?
a=l×w
72=2w×w
72=2w^2
÷2 both sides
36=w^2
square root both sides
w=+6,-6
a measurement can't be - so w=6
Plug into l=2w
l=2×6
l=12
w=6
Just divide 8.4 by 6. And you’ll get 1.4 ounces on each piece of pizza.
