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3 years ago

15

Kaynard's first step in solving this rational equation is to simplify it by multiplying both sides by a common denominator. Whic

h is the simplest expression he can use to do this?

1 answer:

bulgar [2K]3 years ago

5 0

x^2 - 9 = (x + 3)(x -3)

3x - 9 = 3(x - 3)

and

6

Common denominator would be 6(x+3)(x - 3)

Answer: 6(x+3)(x - 3)

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Find the value of x.

koban [17]

We have the similar triangles. Therefore the lengths of the sides are in proportion:

$\dfrac{x}{22}=\dfrac{42}{11+22}\\\\\dfrac{x}{22}=\dfrac{42}{33}\qquad\text{cross multiply}\\\\33x=(22)(42)\qquad\text{divide both sides by 33}\\\\x=\dfrac{(22\!\!\!\!\!\diagup^2)(42)}{33\!\!\!\!\!\diagup_3}\\\\x=\dfrac{(2)(42\!\!\!\!\!\diagup^{14})}{\not3_1}\\\\x=(2)(14)\\\\\boxed{x=28}$

8 0

3 years ago

The sum of two trinomials is 6x2 − 5x + 4. If one of the trinomials is 4x2 + 3x − 2, then what is the other trinomial?

Vadim26 [7]

Subtract the known trinomial from the total sum:

6x2 - 5x + 4 - 4x2 + 3x - 2 = 2X^2 -8x +6
I hope this helps :)

6 0

2 years ago

Which of the following fractions is equivalent to<br> 10/12?<br> 40/48<br> 20/30<br> 4/5<br> 12/14

Sergeeva-Olga [200]

Answer:

40/48

Step-by-step explanation:

10*4=40

12*4=48

6 0

3 years ago

Read 2 more answers

Point S is between R and T. If RS = 2x + 10, ST = x - 4, and RT = 4x - 10, find

Alborosie

Answer:

i dont really get your question tho

8 0

2 years ago

An arc measures 50°in a circle with a radius of 8 cm. What is the area of the sector to the nearest tenth of a square centimeter

marysya [2.9K]

Answer:

$27.9cm^2$

Step-by-step explanation:

The <u>total area</u> of the circle is given by:

$a=\pi r^2$

where $\pi$ is a constant $\pi=3.1416$

and $r$ is the radius: $r=8cm$

Thus the total area of this circle is:

$a=(3.1416)(8cm)^2\\a=(3.1416)(64cm^2)\\a=201.06cm^2$

We want only the area of the arc that measures 50°. For this we must remember that the arc of the total circle is 360°.

Thus, we want 50° out of the 360° degrees in the circle. For this, we divide the total area by 360 and then we multiply by 50:

$\frac{201.06cm^2}{360}(50)=0.5585cm^2(50)=27.9cm^2$

the area of the sector to the nearest tenth is $27.9cm^2$

3 0

3 years ago