7th grade mathFind the value of the expression. mp = 6 for m 6 and p = 3
1 answer:
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Answer: y = -3(x + )² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² +
y - 1 + -3() = -3(x² +
+
)
↑ ↓ ↑
=
y - 1 - = -3(x +
)²
y - -
= -3(x +
)²
y - = -3(x +
)²
y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,
The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.
The length of a rectangle is 5 more than the width. The area is 126 square feet.
We need to find the length and width of the rectangle.
<h3>What is the area of a rectangle?</h3>The area of a rectangle is calculated by multiplying the rectangle's length by its width.
Let the width of the rectangle be x, then the length of the rectangle be x+5.
We know that the area of the rectangle = Length×Width
Now, the area of the rectangle = (x+5)×x=126 square feet.
⇒
⇒
⇒
⇒.
Since length cannot be a negative integer.
So, Width=9 feet and Length=9+5=14 feet.
Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.
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