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Bumek [7]
3 years ago
8

Divide : algebraic fractions

Mathematics
1 answer:
ryzh [129]3 years ago
4 0

Answer:  C

<u>Step-by-step explanation:</u>

   \frac{r+5}{r^{2}+5r-14} ÷ \frac{r^{2}+4r-21}{r-2}

= \frac{r+5}{r^{2}+5r-14} * \frac{r-2}{r^{2}+4r-21}

= \frac{r+5}{(r+7)(r-2)} * \frac{r-2}{(r+7)(r-3)}

= \frac{(r+5)(r-2)}{(r+7)(r-2)(r+7)(r-3)}

= \frac{r+5}{(r+7)(r+7)(r-3)}

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Pachacha [2.7K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Jaime bikes 5 1/4 miles on Monday 6 7/8 miles on Tuesday and 8 1/2 miles on Wednesday if he continue the pattern how many miles
Shtirlitz [24]

<span>11 2/8  there is a 1 5/8 between each of them so you keep adding 1 5/8 miles each day.</span>
8 0
3 years ago
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guapka [62]

Step-by-step explanation:

\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)

Use the identity

\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}

on the left side.

\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)

Now use the identity

\sin \theta = \cos(\frac{\pi}{2} - \theta)

on the left side.

\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)

4 0
2 years ago
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Shtirlitz [24]

The midpoint between -4 and 8 is answer B) 2

8 0
3 years ago
Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

6 0
3 years ago
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