Answer:
- D.
![x^{-3/2}](https://tex.z-dn.net/?f=x%5E%7B-3%2F2%7D)
Step-by-step explanation:
<u>Given function:</u>
<u>Equivalent expression is:</u>
Correct choice is D
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =
![\frac{-1-5}{6--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1-5%7D%7B6--2%7D%20)
= -0.75 ........> accepted choice
For point (2,8):slope =
![\frac{8-5}{2--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8-5%7D%7B2--2%7D%20)
= 0.75 ........> rejected choice
For point (-5,1):slope =
![\frac{1-5}{-5--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%7D%7B-5--2%7D%20)
= 4/3 ........> rejected choice
For point (1,1):slope =
![\frac{1-5}{1--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%7D%7B1--2%7D%20)
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
Answer:
4.
![x=8\sqrt{3}](https://tex.z-dn.net/?f=x%3D8%5Csqrt%7B3%7D)
![y=16](https://tex.z-dn.net/?f=y%3D16)
5.
![x=3](https://tex.z-dn.net/?f=x%3D3)
![y=3\sqrt{3}](https://tex.z-dn.net/?f=y%3D3%5Csqrt%7B3%7D)
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
![a-a\sqrt{3}-2a](https://tex.z-dn.net/?f=a-a%5Csqrt%7B3%7D-2a)
Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,
![x=8\sqrt{3}](https://tex.z-dn.net/?f=x%3D8%5Csqrt%7B3%7D)
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
![y=16](https://tex.z-dn.net/?f=y%3D16)
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
![y=3\sqrt{3}](https://tex.z-dn.net/?f=y%3D3%5Csqrt%7B3%7D)
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
![x=3](https://tex.z-dn.net/?f=x%3D3)
Answer:
(1) {-1/4, 0, 3}
Step-by-step explanation:
Step 1: Factor left side of equation.
2x(4x+1)(x−3)=0
Step 2: Set factors equal to 0.
2x=0 or 4x+1=0 or x−3=0
x=0 or x= −1/4 or x=3
Answer:
the answer is b
Step-by-step explanation: