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2 years ago

S. The area of a stage for a concert is 216 square feet. The length is 6 times the width. Find the dimensions of

Mathematics

1 answer:

Travka [436]2 years ago

4 0

Answer:

Width=6 Length=36

Step-by-step explanation:

The stage is rectangular since the length is not equal to width.

We use the formula (Width × Length) to obtain the area of any rectangle.

But the Length is 6 times the Width, therefore we equate the formula for the area of stage as

Width × 6Width = 216

we get Width as 6 and 6width which is the length as 36

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Each column of the matrix represents a vertex of a triangle. If Rosa scales the triangle by finding 3T

LiRa [457]

Answer:

$\{(0,0) (0,9) (9,0)\}$

Step-by-step explanation:

Given

See attachment for matrix

From the attachment, we have the following vertices

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (0,3)$

$(x_3,y_3) = (3,0)$

When scaled by 3T, we have the following:

$(x_1,y_1) =3 * (0,0)$

$(x_1,y_1) =(0,0)$

$(x_2,y_2) = 3 * (0,3)$

$(x_2,y_2) = (0,9)$

$(x_3,y_3) = 3 *(3,0)$

$(x_3,y_3) = (9,0)$

Hence, the vertices are:

$\{(0,0) (0,9) (9,0)\}$

6 0

2 years ago

F(x)=-2x+4 when f(-3)

VladimirAG [237]

F(x)=10 would be the easiest way to put that

3 0

2 years ago

Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below: f(x)=2x^2-10 g(x)=x+9

steposvetlana [31]

Answer:

$\large\boxed{(f+g)(5)=54}$

Step-by-step explanation:

$f(x)=2x^2-10,\ g(x)=x+9\\\\(f+g)(x)=f(x)+g(x)\\\\\text{Substitute:}\\\\(f+g)(x)=(2x^2-10)+(x+9)=2x^2-10+x+9=2x^2+x+(-10+9)\\\\(f+g)(x)=2x^2+x-1\\\\(f+g)(x)(5)\to\text{put x = 5 to the equation of the function:}\\\\(f+g)(5)=2(5^2)+5-1=2(25)+5-1=50+5-1=54$