Distribute the 5
25t-10=-35
+10 +10
25t =-25
divide by 25 on both sides
t=-1
Answer:
- ( -4, -1 ) and ( -9, - 6)
Step-by-step explanation:
<h3>Given</h3>
- (x - 1)^2 + (y + 3)^2 = 13
-
x + y = -3
<h3>Solution</h3>
<u>From the second equation we get</u>
<u>Substituting x in the first equation</u>
- (- y - 3 - 1)^2 + (y + 3)^2 = 13
- (-y - 4)^2 + (y + 3)^2 = 13
- (y+4)^2 + (y+3)^2 = 13
- y^2 + 8y + 16 + y^2 + 6y + 9 = 13
- 2y^2 + 14y + 12 = 0
- y^2 +7y +6 = 0
- (y+1)(y+6) = 0
- y = - 1
- y = - 6
<u>Then</u>
<u>Answer</u>
- ( -4, -1 ) and ( -9, - 6)
Answer:
36 degrees
Step-by-step explanation:
This is because angle 1 and angle 5 are corresponding angles. If you put the set of four angles surrounding parallel line A on top of the set of four angles surrounding parallel line B they would be on top of each other and they would be equal
Can i see the top of the page
Answer:
2.51 < σ < 3.92
Step-by-step explanation:
We will use Chi-Square distribution to create the interval. We have the following information:
n = 41
Level of Confidence : 95%,
This corresponds to Chi-Square values of:
24.433 for the left tail and 59.342 for the right tail
We need to calculate the sample Variance. This is done on attached photo 1 (the shortcut formula for finding variance was used)
We get s = 9.3866.
See the construction of the confidence interval on the second attached photo