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gladu [14]
2 years ago
11

The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the valu

es of p and q?​
Mathematics
1 answer:
Juliette [100K]2 years ago
5 0

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

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8 0
3 years ago
You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi
irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

tan(52^o)=\frac{AC}{50} ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

AC=tan(52^o){50}

AC=64\ ft

step 2

In the right triangle ABE

Find the length side AB

tan(21^o)=\frac{AB}{50} ---> by TOA (opposite side divided by the adjacent side)

solve for AB

AB=tan(21^o){50}

AB=19.19\ ft

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

64-19.19=44.81\ ft

5 0
3 years ago
The highest mountains in the world are the Himalayas, at the border between the Indian and Eurasian plates. The Himalayas formed
Advocard [28]

Answer:

transform boundary

Step-by-step explanation:

I'm not too sure, but a transform boundary is where two plates crash into each other, creating mountains.

5 0
3 years ago
Simplify the following expression 3 x 6 + 5 x 2 diveded by 7
KATRIN_1 [288]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Matt have 2 cookies, while christine have 2 more than matt how many cookies will they have if the add them altogethe?.
mojhsa [17]

Answer:

6 cookies

____________________

Christine has 2 MORE than Matt.

2 + 2 = 4(Christine)

4 + 2 = 6(total)

5 0
3 years ago
Read 2 more answers
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