Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?

Mathematics

1 answer:

Nookie1986 [14]2 years ago

4 0

Answer : option C, 5x2 + 32x − 21

In the rectangle, the length = 5x - 3 and width = x + 7

We know the formula for area of rectangle = length * width

Area of rectangle = (5x-3)(x+7)

WE multiply it using FOIL method

F - First terms, 5x * x = $5x^2$

O- Outer terms, 5x * 7 = 35x

I - Inner terms, -3 * x= -3x

L - Last terms, -3 * 7 = -21

Now we add all the terms

$5x^2 +35x -3x -21$

combine like terms

$5x^2 +32x -21$

So area of a rectangle = $5x^2 +32x -21$

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The equation (x-3)^2+(y+7)^2=64 models the position and range of the source of a radio signal. Describe the position of the sour

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$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
-------------------------------\\\\
(x-3)^2+(y+7)^2=64\implies [x-\stackrel{h}{3}]^2+[y-(\stackrel{k}{-7})]^2=\stackrel{r}{8^2}
\\\\\\
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so, the broadcast location and range is more or less like the picture below.

7 0

3 years ago

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3. A quadratic polynomial whose<br>product and the sum of<br>zéroes are -12 and 1

muminat

Answer:

the equation is : x²-x-12

Step-by-step explanation:

the quadratic equation is in the form of : y=ax²+bx+c

the product of the zeros is -12 and the sum is 1

b = - 1

c=-12 (product)

y=x²-x-12

check : factorize first (x+3)(x-4)=0

either x+3=0 then x=-3

or x-4=0 then x=4

-3*4=-12

-3+4=1

the equation is : x²-x-12

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3 years ago

Epic math question that i cant solve

zvonat [6]

The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle

area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x

so the area of the shaded region is 60y-15x

the GCF is 15, so the factored form is: 15(4y-x)