the variable z is directly propertionto x. when x is 12, z has the value 228. what is the value of z when x=18

What expressions is equivalent to −2(x−5)?

Ksenya-84 [330]

Answer:

-2x + 10

Step-by-step explanation:

Distribute -2 to x - 5 to simplify the expression. So we get: -2(x - 5) = -2x + 10.

6 0

3 years ago

If the lengths of the legs of a right triangle are 3 and 10−−√, what is the length of the hypotenuse?

Ganezh [65]

The required length of the hypotenuse of the triangle is √19.

<h3>What is a right triangle?</h3>

A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.

To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

Hypotenuse:

$= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}$

Therefore, the required length of the hypotenuse of the triangle is √19.

Know more about right triangles here:

brainly.com/question/2437195

#SPJ4

3 0

2 years ago

Which quadrant does G' lie in?

yaroslaw [1]

It lies in the 4th quadrant.

$G=(x,-y)=(1,-2)$

8 0

3 years ago

PLEASE ANSWER QUICK!

EleoNora [17]

Answer:

300+5x>30x

Step-by-step explanation:

im just different

4 0

3 years ago

Let theta be an angle in quadrant 2 such that cos theta =-3/4. Find the exact values of csc theta and cot theta.

Anna35 [415]

Step-by-step explanation:

Since $cos(\theta) = -\frac{3}{4}$ we can get some information from this. First of all $cos(\theta)$ is defined as $\frac{adjacent}{hypotenuse}$ . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find $sin(\theta)$ to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive

Pythagorean Theorem:

$a^2+b^2=c^2$

$(-3)^2 + b^2 = 4^2$

$9 + b^2 = 16$

$b^2 = 7$

$b = \sqrt{7}$

So now we can calculate $sin(\theta)$ .

$sin(\theta) = \frac{\sqrt{7}}{4}$

Now to calculate the exact value of csc you simply take the inverse. This gives you $csc(\theta)=\frac{4}{\sqrt{7}}$ . Multiplying both sides by sqrt(7) to rational the denominator gives you $\frac{4\sqrt7}{7}$ .

Now to calculate cot(theta) you find the inverse of tan. Tan is defined as $tan(\theta) = \frac{sin(\theta)}{cos(\theta)}$ . So all you do is take the inverse which is $cot(\theta) = \frac{cos(\theta)}{sin(\theta)}$ .