(x-3)^2 + (x+5)^2=9^2
(x^2-6x+9) + (x^2+10x+25)=81
2x^2+4x+34=81
2x^2+4x-47=0
From here just use quadratic formula
Answer:

Step-by-step explanation:
since q(x)=-4
substitute
hence
-4=12x-3
take -3 to the other side where it becomes positive
therefore
-1=12x
divide by 12
you will get the above answer
Answer:
The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes
Step-by-step explanation:
Regression Output :
Predictor Coefficient
Constant 3.0979
Square root of items 2.7633
R.sq.- 96.7%
So, with this data the regression equation is,

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items
Substitute x =22 in equation


Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes
Answer:
E. 2 1/2
E. 8.5 cm
C. 6 cm
Step-by-step explanation:
4............................
Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5
<u>Correct option is</u> E. 2 1/2
5............................
DE = ?
- DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
- <em>For measure of AD see next question (6)</em>
<u>Close option is</u> E. 8.5 cm
6............................
AB = ?
- AD/AB = 2.5 <em>the scale factor as per question 4</em>
- (AB + 9)/AB = 2.5
- 2.5*AB = AB + 9
- 1.5*AB = 9
- AB = 9/1.5
- AB = 6 cm
<u>Correct option</u> C. 6 cm
Answer:
108 degrees
Step-by-step explanation:
3x+x+6x=10x, 180/10=18 and 18x6 is 108