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
Answer:
; 
Step-by-step explanation:
I have never done a problem like this, so this is my first time attempting it.
The standard form for the equation of a circle is:

Begin by grouping the 'x' terms and 'y' terms:

Complete the square for the second polynomial:





Do the exact same process with the other polynomial:

Complete the square:





Bring the 121 to the other side to get:


The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

Your answer is correct, don't worry!
To check your answer, just plug in the answer you got with the variable you are supposed to find. Multiplying by a half is like dividing by two. So, 16 divided by 2 is 8. 8 multiplied by 8.25 is 66.
I'm jealous of your handwriting.. XD
Answer:
D) 7x+5
Step-by-step explanation:
- 2(2x+1)+3x+3
- 4x+2+3x+3
- 7x+5
hope it helps.
<h3>stay safe healthy and happy.</h3>
Answer: 2
Step-by-step explanation:
The slope is equal to 2 by it being in the slope place of y=mx+b