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NemiM [27]
3 years ago
13

What is the factor for x^2-4x-21

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0
Hey there Alissia!

\Longrightarrow  \left[\begin{array}{ccc}\boxed{\boxed{ Factoring \  x^2-4x-21 }}\end{array}\right] \\ \\  \Longrightarrow \left[\begin{array}{ccc}\boxed{\boxed{Multiply \ the \ coefficient \ of \ the \ first \ term \ by . . . . .}}\end{array}\right] \\ \\ \ \ \  \ \ \Longrightarrow \boxed{ by \ the  \ constant \ ( 1 * -21 = -21) } \\ \\     \left[\begin{array}{ccc} Add \ up \ the \ four \ terms \ of step \ 4 \\ \\    (x+3)  *  (x-7) \\\end{array}\right]  \\ \\ \\ 


(Final \ result) \\ \\  \Longrightarrow (x + 3) * (x - 7) \Longleftarrow \\ \\ Hope \ this \ help \ you!




7nadin3 [17]3 years ago
5 0
(x+7) (x-3) is the anwer

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In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meets AB at point K. Prove that BH
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Answer:

See explanation

Step-by-step explanation:

In ΔABC, m∠B = m∠C.

BH is angle B bisector, then by definition of angle bisector

∠CBH ≅ ∠HBK

m∠CBH = m∠HBK = 1/2m∠B

CK is angle C bisector, then by definition of angle bisector

∠BCK ≅ ∠KCH

m∠BCK = m∠KCH = 1/2m∠C

Since m∠B = m∠C, then

m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH   (*)

Consider triangles CBH and BCK. In these triangles,

  • ∠CBH ≅ ∠BCK (from equality (*));
  • ∠HCB ≅ ∠KBC, because m∠B = m∠C;
  • BC ≅CB by reflexive property.

So, triangles CBH and BCK are congruent by ASA postulate.

Congruent triangles have congruent corresponding sides, hence

BH ≅ CK.

5 0
3 years ago
Scott washed cars for 2 1/2 hours as a fundraiser. It took him 1/4 hour to wash one car. How many cars did Scott wash
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Answer:

He washed 10 cars.

Step-by-step explanation:

To make this easier covert 1/2hours into 1/4 hours. 2 1/2 = 4/2+1/2 = 5/2. Now take 5/2 and make it 1/4th's, 5/2 = 10/4. It takes 1/4 hours to wash one car so, 10/4 divided by 1/4. Don't divide fractions so, 10/4 x 4/1, we switch the second number around to get 40/4. Now we can simplify, 40/4 = 10.

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2 years ago
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Answer:

Complementary angles are a pair of angles that sum up to 90 degrees. Supplementary angles are a pair of angles that sum up to 180 degrees.

Step-by-step explanation:

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975/1200 = 0.8125

The debt-to-income ratio is 0.8125.

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