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2 years ago

Which is a factor of 144 - 49x²? O 12-7x² O 72-7x² O 12-7x O 72 + 7x

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

4 0

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares $a^2-b^2$ can be factored into the sum of their square roots times the difference of their square roots $(a+b)(a-b)$ .

Let's factor our expression.

$144-49x^2=(12+7x)(12-7x)$

Out of all the options given, only $12-7x$ is a factor. Hence, option C is correct.

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Which of the b values satisfy the following inequality?

nikdorinn [45]

Answer:

b and c

Step-by-step explanation:

so to answer this one we just plug in all of the answer choices to see which ones satisfy the inequality

for a we plug in b and get 5<8-3 or 5<5 which is not true so it cant be a

next we plug in 9, 5<9-3 or 5<6 so b is a correct answer

next we plug in 10, 5<10-3 or 5<7 which is correct so c is also a correct answer

hope this helps (:

5 0

3 years ago

What is the exponent on 10 when you write 41,200 in scientific notation?

swat32

Answer:

412^10

Step-by-step explanation:

^^^^^^^^^^^^^^^^^

7 0

3 years ago

The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

gavmur [86]

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

$A_{circle} = \pi r^2$

$\pi r^2 = 46$

$r^2 = \dfrac{46}{\pi}$

$r = \sqrt{\dfrac{46}{\pi}}$

$r = 3.83 ~in.$

surface area of sphere

$SA = 4 \pi r^2$

$SA = 4 \times \pi \times (3.83)^2$

$SA = 184~in.^2$

7 0

3 years ago

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building

Zigmanuir [339]

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

6 0

2 years ago

Factor complete −2x2 + 10x.

mezya [45]

The factors of the quadratic equation is (x + 1) and (x - 6)

Given,

The quadratic equation; -2x² + 10x + 12

We have to find the factors of this equation using quadratic formula;-

Quadratic formula;- $\frac{-b(+-)\sqrt{b^{2} -4ac} }{2a}$

Here,

a = -2, b = 10 and c = 12

Now,

$\frac{-b(+-)\sqrt{b^{2} -4ac} }{2a}$ = $\frac{-10(+-)\sqrt{10^{2} -4 . -2. 12} }{2.-2}$ = $\frac{-10(+-)\sqrt{100 +96} }{-4}$ = (-10±14) ÷ -4

Solve for,

- 10 + 14 / -4 = -4/4 = -1

That is, (x + 1)

Solve for,

- 10 - 14 / -4 = -24/-4 = 6

That is, (x - 6)

Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)

Learn more about quadratic formula here;

brainly.com/question/9300679

#SPJ1

6 0

1 year ago