(x-2)(x+10)=13
x^2 + 10x - 2x - 20 = 13
x^2 + 8x - 20 - 13 = 0
x ^2 + 8x - 33 = 0
(x + 11) (x - 3) = 0
x + 11 = 0
x = -11
x - 3 = 0
x = 3
The answer is clearly x = 3.
Choice a.
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
Reverse the formula of pi x r^2 = area to find r, the radius.
Then, use r in the formula 2pi x r to calculate the circumference.
$4.27
You subtract 17-3 = 14
Then multiple 14 by 0.13
Then add it by 2.45
Giving you 4.27
<u>Answer:</u>
Slope = 27/11
AB = 29.15 u
<u>Step-by-step explanation:</u>
<u>Given :- </u>
- Two points are given to us .
- The points are A(7,15) and B(18,42)
<u>To Find :- </u>
- The slope of the line .
- The length of line AB .
We can find the slope of the line passing through the points
and
as ,
- Plug in the respective values ,
<u>Hence the slope of the line is 27/11 .</u>
<u>Finding the length of AB :-</u>
- We can find the distance between them by using the Distance Formula .
<u>Hence the length of AB is 29.15 units </u>.