Option B:
False
Solution:
Given GF = 10, FH = 6, GH = ![\sqrt{63}](https://tex.z-dn.net/?f=%5Csqrt%7B63%7D)
To verify that ΔFGH is right triangle or not:
<u>Pythagoras theorem:</u>
If the square of the hypotenuse is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Using Pythagoras theorem,
![\text{Hypotenuse}^2={GF}^2](https://tex.z-dn.net/?f=%5Ctext%7BHypotenuse%7D%5E2%3D%7BGF%7D%5E2)
= 10²
= 100
= ![GH^2+FH^2](https://tex.z-dn.net/?f=GH%5E2%2BFH%5E2)
= ![6^2+(\sqrt{63} )^2](https://tex.z-dn.net/?f=6%5E2%2B%28%5Csqrt%7B63%7D%20%29%5E2)
= 36 + 63
= 99
100 ≠ 99
![GF^2\neq GH^2+FH^2](https://tex.z-dn.net/?f=GF%5E2%5Cneq%20GH%5E2%2BFH%5E2)
Hence ΔFGH is not a right triangle.
The given statement is false.
Option B is the correct answer.
Answer:
<u>4.</u>
Step-by-step explanation:
Degree will he 4, since the largest exponent will still be 4 after the addition.
The conclusion is that the system does not have a solution. This is that the equations written do not have an intersection point, they represent parallel lines and, for any x value, one line is always over the other.
In terms of the landscapers charges, it means that the two landscapers have the same hourly rate (the slope of the lines) but different fees..
For example imagine one landscapers charges $0.5 the hour plus a fixed $5 fee
The correspondan equation would be: y = 0.5x + 5
If the other charges $0.5 the hour and a fixed $20 fee. the correspondant equation would be y = 0.5 x + 20
When you try to solve the system you get:
0.5x + 5 = 0.5x + 20
You can remove the 0.5x terms because they appear in the two sides, then
5 = 20.
Which means that the two costs will never be equal.
.
Kerry and Luke biked a total of 18 miles in one weekend. Kerry biked 4 miles more than Luke. How far did each bike? Write a system of equations and solve.
let x - kerry y - luke x + y = 18 x = y +4 y + 4 + y = 18 2y = 14 y = 7 x = 11
Answer:
x = ± 1
Step-by-step explanation:
Given
3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )
3(x² - 4) = - 9 ( divide both sides by 3 )
x² - 4 = - 3 ( add 4 to both sides )
x² = 1 ( take the square root of both sides )
x² = ±
= ± 1
Thus
x = - 1, x = 1