Answer: The answer is D
Step-by-step explanation:
I used desmos graphing calculator! Look it up it really helps! Literally gives the answers. :)
The slopes of perpendicular lines are opposite reciprocals
The true statement is that segments FG and HJ are perpendicular
<h3>How to determine the relationship between the segments</h3>
The coordinates of the points are given as:
F = (3,1)
G = (5,2)
H = (2,4)
J = (1,6)
Start by calculating the slopes of FG and HJ using the following slope formula
![m = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
So, we have:
![FG = \frac{2 -1}{5 -3}](https://tex.z-dn.net/?f=FG%20%3D%20%5Cfrac%7B2%20-1%7D%7B5%20-3%7D)
![FG = \frac{1}{2}](https://tex.z-dn.net/?f=FG%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Also, we have:
![HJ = \frac{6 - 4}{1 - 2}](https://tex.z-dn.net/?f=HJ%20%3D%20%5Cfrac%7B6%20-%204%7D%7B1%20-%202%7D)
![HJ = \frac{2}{-1}](https://tex.z-dn.net/?f=HJ%20%3D%20%5Cfrac%7B2%7D%7B-1%7D)
![HJ = -2](https://tex.z-dn.net/?f=HJ%20%3D%20-2)
To determine the relationship, we make use of the following highlights
- Parallel lines have the same slope
- The slopes of perpendicular lines are opposite reciprocals
From the computation above, we have:
- The slopes of both lines are not equal
- The slopes are opposite reciprocals i.e. 2 = -1(-1/2)
Hence, segment FG and HJ are perpendicular
Read more about perpendicular lines at:
brainly.com/question/2531713
Answer:
QR = 4.6 ft
Step-by-step explanation:
By applying tangent rule in the given triangle PQR,
tan(62°) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
= ![\frac{8.6}{QR}](https://tex.z-dn.net/?f=%5Cfrac%7B8.6%7D%7BQR%7D)
QR = ![\frac{8.6}{\text{tan}(62)}](https://tex.z-dn.net/?f=%5Cfrac%7B8.6%7D%7B%5Ctext%7Btan%7D%2862%29%7D)
QR = 4.573
QR ≈ 4.6 ft
<em>Answer:</em>
a = 7 & a = −7
<em>Explanation:</em>
Rewrite the equation as
(x+a)(x−a)=x^2−49
Simplify (x+a)(x−a)
x^2−a^2=x^2−49
Move all terms not containing a to the right side of the equation.
−a^2=−49
Multiply each term in −a^2=−49 by −1
a^2=49
Take the square root of both sides of the equation to eliminate the exponent on the left side.
a=±√49
The complete solution is the result of both the positive and negative portions of the solution.
a=7,−7
If im correct your final answer should be 2x-3/(x+1)(x-3). <span>#TeamAlvaxic</span>