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2 years ago

Perform the following translations on the giving figures.

Mathematics

1 answer:

Kazeer [188]2 years ago

3 0

Answer:

(-3, +4)Q

(+4, +4)R

(+3, -4)T

(-4, -4)S

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Find the area and perimeter of this shape.

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Answer:

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

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2 years ago

A square has a area of 81 square feet.

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the side is 9 ft.

Step-by-step explanation:

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3 years ago

Find the equation of the line with slope m = 5/3 that contains the point (-6, -12)

Mice21 [21]

Answer:

3y-(-12) = 5(x-(-6)

3y+12= 5(x+6)

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3y = 5x +30 - 12

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3 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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3 years ago

Solve for y 3x-4y=10

Georgia [21]

3x-4y=10

or,4y=3x-10
or,y=(3x-10)/4

so,y=3/4 x-5/2

5 0

3 years ago

Read 2 more answers