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Nookie1986 [14]
2 years ago
14

What is the vertex of the quadratic function f(x)=(x-8)(x-2)

Mathematics
1 answer:
stich3 [128]2 years ago
7 0
F(x)=(x−8)(x−2)

y=(x−5)2−9
(Pretend the 2 is an exponent)

Use the vertex form, y=a(x−h)2+ky=a(x-2+k, to determine the values of a,h, and k.

a=1
h=5
k=-9

Find the vertex (h, k).
(5, -9)
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Solve the right triangle ABC, with C = 90°.
Yanka [14]
Answers are as follows
B = 51.5
a = 34.6
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6 0
2 years ago
Will, Mike, and Sue went to dinner. Will paid 1/3 of the dinner bill. Micah and Sue paid in the ratio 2:3. If Sue paid $6 more t
raketka [301]
Let's call their parts w,m and s

if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)

Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s

and m=2/3s

Again:
m+s=2w

and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
5s=6w

we also know that s=w+6 (from the last sentence) so we substitute:

5(w+6)=6w
5w+30=6w
30=w

so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)

and the total was 30+36+24=90.





3 0
3 years ago
Calculate the perimeter and area of this shape.
Bond [772]

area = 25.5 cm²

Step-by-step explanation:

i have shown in the image you have to rotate it to see how i worked the area out

i am very sorry i cant work the perimeter out since i have no idea what the length of the two sides of the triangle are . if you need help on understanding how i worked out the area please let me know .

hopefully i was able to help you in half of the question i am sorry for not helping on the perimeter :)

8 0
2 years ago
Write an equation of the line that passes through (2,3) and is perpendicular to the line shown
kow [346]

Answer:

(2,3)

Step-by-step explanation:

(2,3) is your answer

5 0
3 years ago
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Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).
den301095 [7]
   ( x, y )  → ( x-3, y+4 )
A ( 1, 1) → A' (1-3, 1+4)      A' (-2, 5)
8 0
3 years ago
Read 2 more answers
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