ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT
Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>
TS = QT
6x + 13 = 5y
6x - 5y = -13 <span><em>(second equation)</em>
</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
x = 8/-4
x = -2
Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5
Answer:
x = -2
y = -5
The area of a circle is:
![\pi \times r \times r](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%20r%20%5Ctimes%20r)
"r" being the radius and π being 3.14
14. The diameter is 12. So, to get the radius, we would need to halve it. So, the radius would be 6.
Now we plug in 6 for r and 3.14 for π which makes it
![3.14 \times 6 \times 6](https://tex.z-dn.net/?f=3.14%20%5Ctimes%206%20%5Ctimes%206)
which equals 113.04
15. The diameter is 9, so to get the radius we need to halve it to get 4.5
Plug in 4.5 for r and 3.14 for π and we get
![3.14 \times 4.5 \times 4.5](https://tex.z-dn.net/?f=3.14%20%5Ctimes%204.5%20%5Ctimes%204.5)
which equals 63.585
16. The diameter is 18, so to get the radius we need to halve it to get 9
Plug in 9 for r and 3.14 for π and we get
![3.14 \times 9 \times 9](https://tex.z-dn.net/?f=3.14%20%5Ctimes%209%20%5Ctimes%209)
which equals 254.34
17. The diameter is 8, so to get the radius we need to halve it to get 4.
Plug in 4 for r and 3.14 for π and we get
Answer:
The slope is -4/5
The y intercept is (0,7)
Step-by-step explanation:
f(x) = 7 -4/5x
Rewriting
y = -4/5x +7
This is in slope intercept form
y = mx+b where m is the slope and x is the y intercept
The slope is -4/5
The y intercept is (0,7)
Answer:
6
Step-by-step explanation:
Answer:
40 / 16 = 2.5
Step-by-step explanation: ur telling me this is highschool math? lol. im in middle school but took this stuff in third grade.