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2 years ago

Consider the Expression

Mathematics

1 answer:

Kobotan [32]2 years ago

4 0

An equivalent expression with the rational denominator is, $(-8x+5)^ {\frac{-1}{2}}$ .Option A is correct from the drop-down menu.

<h3>What is a fraction simplification?</h3>

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is, $(-8x+5)^ {\frac{-1}{2}}$ .

Hence option A is correct.

To learn more about fraction simplification, refer to; brainly.com/question/11479469.

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The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club st

rusak2 [61]

Answer:

40 square inches.

Step-by-step explanation:

It is given that the new club sticker is in the shape of a triangle.

Height of triangle = 8 inches

Base of triangle = 10 inches

We need to find the area of sticker.

Area of triangle $=\dfrac{1}{2}\times base \times height$

Substitute base = 10 and height = 8 in the above formula.

Area of triangle $=\dfrac{1}{2}\times 10\times 8$

Area of triangle $=\dfrac{80}{2}$

Area of triangle $=40$

Therefore, the area of the club sticker is 40 square inches.

5 0

3 years ago

Factor completely 3x2 - 21.

VMariaS [17]

3x² - 21

Factor 3 from both terms:

3 (x² - 7)

To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:

3 (x + √7) (x - √7)

Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:

3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)

but to me, this would be nonsense.

6 0

3 years ago

Read 2 more answers

Find the distance between the points (-4, -5 and (3, -1.

Komok [63]

<u><em>≡ We know that:</em></u>
⇔ $(x_{1},y_{1})$ → $(-4,-5)$
⇔ $(x_{2},y_{2})$ → $(3,-1)$

<u><em>≡ Solution:</em></u>
⇒ $\sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}$
⇒ $\sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}$
⇒ $\sqrt{[7^{2}+4^{2}]}$
⇒ $\sqrt{[49+16]}$
⇒ $\boxed{\sqrt{65}}$

7 0

3 years ago

Read 2 more answers

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

7 0

3 years ago

Can a remainder in a division problem equal the divisor

Rufina [12.5K]

Well the answer is No.A remainder will always be smaller than the divisor ,because the divisor is the one that used to divide the dividend and the remaining number that cannot be divided by the divisor is called the remainder.
Questions?

6 0

3 years ago