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3 years ago

-10w + 12 = -9w + 13 What value of w makes the equation true?

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

W=-15 I hope this helped.

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Please help mee pleaseee

nalin [4]

Answer:

The exact answer in terms of radicals is $x = 5*\sqrt[3]{25}$

The approximate answer is $x \approx 14.62009$ (accurate to 5 decimal places)

===============================================

Work Shown:

Let $y = \sqrt[5]{x^3}$

So the equation reduces to -7 = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

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Since $y = \sqrt[5]{x^3}$ and y = 5, this means we can equate the two expressions and solve for x

$y = 5$

$\sqrt[5]{x^3} = 5$

$x^3 = 5^5$ Raise both sides to the 5th power

$x^3 = 3125$

$x = \sqrt[3]{3125}$ Apply cube root to both sides

$x = \sqrt[3]{125*25}$

$x = \sqrt[3]{125}*\sqrt[3]{25}$

$x = \sqrt[3]{5^3}*\sqrt[3]{25}$

$x = 5*\sqrt[3]{25}$

$x \approx 14.62009$

4 0

3 years ago

Read 2 more answers

A super train travels 1,500 miles in 12.5 hours. How many miles does it travel in one hour?

katen-ka-za [31]

Let's treat the speed in one hour as a variable.
We can say that 1500=12.5x
Divide by 12.5
1500/12.5 = x
x = 120
120 mph is your answer.

6 0

3 years ago

The measures of the base angles of an isosceles triangle are 3x 5 and 5x - 25. The measure of the vertex angle is 6x - 10. Find

lukranit [14]

Answer: The measure of the vertex angle = 80°

Step-by-step explanation:

Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.

So,

$3x+ 5 + 5x-25+6x-10= 180\\\\\Rightarrow\ 14x-30=180\\\\\Rightarrow\ 14x= 210\\\\\Rightarrow x=\dfrac{210}{14}=15$ '

Then, vertex angle = $6(15)-10=90-10= 80$

Hence, The measure of the vertex angle = 80°

5 0

2 years ago

Multiply polynomials (4x-5)^2

wolverine [178]

16x^2-40x+25 Yes I know my phone is messed up but at least you got the answer

6 0

3 years ago

In triangle ABC, BD bisects Angle ABC and AD is similar to CD. Tell what kind of triangle ABC must be

Anestetic [448]

A right triangle. Hope this helps.

7 0

3 years ago