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3 years ago

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer:

Step-by-step explanation:

x² – 8x = 20 ⇌ x² – 2(4)x = 4 + 16 ⇌ x² – 2(4)x - 16 = 4 ⇌ (x - 4)² = 4

⇌ x - 4 = 2 or x - 4 = -2 ⇌ x = 6 or x = 2

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How far apart in feet are Marcus and Joel. Please round your answer to the nearest tenth of a foot

Pavel [41]

Answer:

The distance between Marcus and Joel is approximately 127.3 feet.

Step-by-step explanation:

The distances between Jean to Joel, Jean to Marcus and Marcus to Joel form a right triangle where the distance from Marcus to Joel is the hypothenuse. We can measure the distance from Jean to Marcus and Jean to Joel by using the grid provided, since they're along the same axis. This is shown below:

d(Jean, Marcus) = Jean(x) - Marcus(x) = 100 - 10 = 90 feet

d(Jean, Joel) = Jean(y) - Joel(y) = 90 - 0 = 90 feet

We can apply the pythagora's theorem to find the distance between Marcus and Joel.

d(Marcus,Joel)² = d(Jean,Marcus)² + d(Jean,Joel)²

d(Marcus,Joel)² = (90)² + (90)²

d(Marcus,Joel)² = 2*(90)²

d(Marcus, Joel) = sqrt(2*(90)²) = 90*sqrt(2) = 127.279 feet

The distance between Marcus and Joel is approximately 127.3 feet.

8 0

4 years ago

(HELP ASAP)In the figure, if OQ is the angle bisector of ∠POR, find m∠POQ.

umka21 [38]

Answer:

61°

Step-by-step explanation:

$9x+7=13x-17$ , QO Bisector

$x=6\\$ , Algebra

$m$ , Algebra/Sub

6 0

3 years ago

Find f(-4) if f(x) = {(2,-4), (4,0), (5,-4), (-4, 0)}

Troyanec [42]

Answer:

If f(x) = 2x2 - 4x + 3 evaluate for f(3) and f(-4) 2. g(x) = V - 2x; find g(-27) and g(-1) ... {(-3,0), (+3, 3),(-3,2)} ... If f(x) = 5x+5, find and simplify f(4).

8 0

3 years ago

1. Jill had the following scores on her math quizzes 20, 40, 40, 40, 60, 60, 60, 60, 80, 80, 80, 80, 100.

amm1812

Answer:

a is 800

b is 13

c is 61.5

Step-by-step explanation:

for a you add all of the given data together

b you count how many data points there are

c you get the answer from the a and divided by 13

5 0

3 years ago

13, 15, 17, x, 20, 21; The median is 18.

Mamont248 [21]

To find the median

⇒ must define what is a median

⇒Definition of median: middle number of an ordered set

Lets look at the information given

Set when ordered: 13,15, 17,x,20,21 with median of 18

⇒ In this case, there is an even number of numbers

⇒ to find the median

⇒ must find average of two numbers closest to the middle

⇒ which are 'x' and '17' which is equal to the given median 18

Let's set up the equation:

$\frac{x+17}{2} =18\\x+17=36\\x=19$

Answer: x = 19

Hope that helps!

6 0

2 years ago