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Alex73 [517]
3 years ago
6

Factor each Polynomial

="a^{2}-4a-24+6a" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

Answer:

Correct answer:  (a - 4) · (a + 6)

Step-by-step explanation:

Given:

a² - 4a - 24 + 6a = a² - 4a + 6a - 24 = a (a - 4) + 6 (a - 4) = (a - 4) · (a + 6)

God is with you!!!

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Find the circumference given the area = 113.1 ft². Use 3.14 for π as necessary.
olga_2 [115]

The circumference of the circle is 37.68 ft

Step-by-step explanation:

Given,

The area of the circle is 113.1 sq ft

To find the circumference of the circle we need to find the radius of the circle first

Formula

The area of circle with radius r is = πr^{2} sq unit

The circumference of circle with radius r is = 2πr unit

Let us take the radius of the circle is r ft

According to the problem,

πr^{2} =113.1

or, r^{2} = \frac{113.1}{3.14}

or, r^{2} = 36.01 = 36 (approx)

or, r = \sqrt{36}

or, r = 6

Now,

The circumference of the circle is 2×3.14×6 ft = 37.68 ft

5 0
2 years ago
Read 2 more answers
The circle is inscribed in Triangle AEC. Which are congruent line segments
Harlamova29_29 [7]

Answer:

E-F and E-D

C-B and C-D

Step-by-step explanation:

The circle and triangle are as shown.  The options are:

  • A-B and C-B
  • E-F and E-D
  • E-D and C-D
  • A-F and E-F
  • C-B and C-D

By drawing radius lines from the center of the circle to the tangent points B, D, and F, we can divide the triangle into 3 kites.  Therefore, only segments that are legs of the same kite are congruent.  So the answer must be E-F and E-D, and C-B and C-D.

6 0
3 years ago
Read 2 more answers
Shopping While shopping for clothes, Jaclyn spent $17 less than 2 times what Daniel spent. Jaclyn spent $11. Write and solve an
GalinKa [24]
X=14
Hope it helps!!!
6 0
2 years ago
I’m not sure how to do this please help
Nikolay [14]

Answer:

B :step 2   she didnt collect all the like terms and calculate

Step-by-step explanation:

first rewrite  remove all (  )Parentheses

2nd   collect all like terms and calculate

a^4 + 7a -16 -12^a^3 + 5a -3

a^4 + 12a - 19 - 12a^3     ( Like terms are 7a +5a  and -16 +-3)

so she skipped the second step

3 0
2 years ago
Show that triangle MPT =Triangle MTP​
exis [7]

Unusual notation.  I won't fuss with it.

a. We have isosceles PRT, so angle  RPT = angle RTP.

By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.

We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP

Similarly, m angle RPT = 2 m angle MPT

2 m angle MTP = 2 m angle MPT

angle MPT = angle MPT

That's the first part.

b. That makes MPT isosceles.

c. 2x+124=180

2x = 56

x = 28 degrees

MTP = 28 degrees

d.  We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees

PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees

Bad drawing, PUT looks acute.

angle PRT = 68 degrees, angle PUT = 96 degrees

3 0
3 years ago
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