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algol13
3 years ago
14

Evaluate the expression for the given value of x.0.8x+5.4 for x= -3​

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

3.0

Step-by-step explanation:

0.8 times -3 = -2.4

5.4-2.4=3.0

So the answer is 3.0

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Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
Find the arc length of the 3/4 of a circle with a radius of 5
IgorLugansk [536]

Answer:

7.5 pi

Step-by-step explanation:

The formula for arc length of a sector is denoted as

\frac{x}{360}2\pi r, where x is the central angle of the sector.

Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.

3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.

\frac{270}{360}2(5)\pi

2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi

3 0
3 years ago
I need help with this question please help!
k0ka [10]

Answer:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. And this picture you just showed me right now thats why those are all parallelograms.

Step-by-step explanation:

Please give me brainliest

8 0
3 years ago
12.simplify the following expression <br> 21q + 5/2(3/2) + 4q -5
nekit [7.7K]

Answer:

i think the answer is 25q - 5 / 4

4 0
2 years ago
What is the answer ​
aliya0001 [1]

Answer:

(4,5)

(6,2)

(2,4)

Step-by-step explanation:

just add 3 to x and 1 to y

3 0
3 years ago
Read 2 more answers
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