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Burka [1]
3 years ago
9

Factor the expression and then evaluate without a calculator: 3·(m−4)−n·(m−4), if m=5, and n=4 : The factored expression is ___,

the numerical value of it is ___.
Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

equation:

3(5-4)-4(5-4)

3*5-3*4 -4*5-4*-4

15-12-20+16

3-4

-1

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|14+x|-5=k solve for k​
guajiro [1.7K]

Answer:

k=|14+x|-5

Step-by-step explanation:

just rewrite the equation as k=|14+x|-5

6 0
3 years ago
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
3 years ago
I need help with this question.
ivann1987 [24]

9514 1404 393

Answer:

  a8 = 4

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

  a8 = (1/2)(8) = 8/2 = 4

The 8th term of this arithmetic sequence is 4.

4 0
2 years ago
Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since
Luden [163]

Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]

Insurance premium=$1,106.30+$185

Insurance premium=$1,291.30

Therefore what his new annual homeowners insurance premium will be is $1,291.30

5 0
3 years ago
You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card bal
Luden [163]

Answer:

D. No balance transfer fee

Step-by-step explanation:

yee

8 0
2 years ago
Read 2 more answers
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