Answer:
The first one
Step-by-step explanation:
Answer: ⇒ last options d. 16√5
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Step-by-step explanation:
First you had to add similar elements.
![13\sqrt{5}+3\sqrt{5}=16\sqrt{5}](https://tex.z-dn.net/?f=13%5Csqrt%7B5%7D%2B3%5Csqrt%7B5%7D%3D16%5Csqrt%7B5%7D)
![=16\sqrt{5}](https://tex.z-dn.net/?f=%3D16%5Csqrt%7B5%7D)
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Find the x intercepts by setting each x to equal 0:
(4-x)=0
4 -4 = 0
First x intercept = (4,0)
(x+2) = 0
-2 + 2 = 0
Second x intercept = (-2,0)
Now find the Y intercept by setting the x's to 0 and solve for y:
y = (4-0)(0+2)
y = 4*2
y = 8
The Y intercept is (0,8)
Now find the graph the the parabola crosses the x axis at -2 and 4 and also crosses the Y axis at 8.
Graph A is the correct one.
Answer: (1) 12 (2) 36 or 22 (3) 40
<u>Step-by-step explanation:</u>
NOTES about diagonals of a rectangle:
- diagonals are congruent (equal lengths)
- diagonals intersect at the midpoint
(1) Given: MR = 4x - 60 and AK = 30 - x
Per rule 1 → MR = AK
4x - 60 = 30 - x
5x - 60 = 30
5x = 90
x = 18
MR = 4(18) - 60
= 72 - 60
= 12
(2) Given: MP = x² + 2 and AP = x + 14
Per rule 1 → MP = AP
x² + 2 = x + 14
x² - x - 12 = 0
(x - 4)(x + 3) = 0
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
AP(4) = (4) + 14 = 18
AP(-3) = (-3) + 14 = 11
Per rule 2 → AK = 2AP
AK(4) = 2(18) = 36
AK(-3) = 2(11) = 22
(3) Given: MR = 4x - 60 and MP = x + 5
Per rule 2 → MR = 2MP
4x - 60 = 2(x + 5)
4x - 60 = 2x + 10
2x - 60 = 10
2x = 70
x = 35
MP = (35) + 5
= 40
Per rule 1 → PR = MP
PR = 40