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2 years ago

Given the pre-image point A (4,-9) and it's image point A' (12, -27), determine the scale factor

Mathematics

1 answer:

WARRIOR [948]2 years ago

8 0

Answer:

scale factor = 3

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the image x and y coordinates to the original x and y coordinates, that is

scale factor = $\frac{12}{4}$ = $\frac{-27}{-9}$ = 3

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Archy [21]

The value of integration of y=16- $x^{2}$ from x=-1 to x=1 is 94/3.

Given the equation y=16- $x^{2}$ and the limit of the integral be x=-1,x=1.

We are required to find the value of integration of y=16- $x^{2}$ from x=-1 to x=1.

Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c.It may be linear equation, quadratic equation, or many more depending on the power of variable.

Integration is basically opposite of differentiation.

y=16- $x^{2}$

Find the integration of 16- $x^{2}$ .

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Now find the value of integration from x=-1 to x=1.

=16(1)- $(1)^{3}/3$ -16(-1)- $(-1)^{3}/3$

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1 year ago

I need help What is the surface area of the following figure? A 168 B 192 PLEASE HELP

Juliette [100K]

Answer:

305 in^2

Step-by-step explanation:

First step is always to break up the problem into parts and write out our formulas- in this case, let's solve the easier part first, the bottom rectangular box type shape.

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Area of a triangle: A = 1/2 * length * height

Each side is 6x2, making each side 12 in^2, times four sides equals 48 in^2

The box also has a bottom, with dimensions of 6x6, equaling 36 in^2. be careful not to include the top, it may be included in this part of the problem that we're splitting up, but it's not in the actual figure.

Next up is the top portion- let's calculate the two triangular sides first. again, A=(1/2)l*h . so, these triangles are (1/2) * 5 * 4 , or 10 in^2 . With two triangular sides that's 20 in^2 total.

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All of these sides can be added together:

48 + 36 + 20 + 60 = 305 in^2

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This answer to your equation is 5/6

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2 years ago

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