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2 years ago

Simplify the expression: 4(5 – 2w) =

Mathematics

1 answer:

sergey [27]2 years ago

5 0

Answer:20-8w

Step-by-step explanation:

4x5 is 20

4x2w= 8w

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Find the value of x,y,and z (explain steps)

Harlamova29_29 [7]

to find X you need to add up the other two angles inside the triangle which are 36 and 63, that equals 99 and then subtract that number from 180, which equals 81.

To find Z you will follow the 180 rule and subtract 180 from what you got for X(81), this will equal 99

To find Y you will add what you got for Z(99) plus 13 and then subtract that number from 180, which will give you 68

So X=81, Y=99, and Y=68

3 0

3 years ago

What are the roots of x in -10x2 + 12x − 9 = 0?

hoa [83]

Answer:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

Step-by-step explanation:

Use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

You can identify that, in this case:

$a=-10\\b=12\\c=-9$

Now you need to substitute these values into the formula:

$x=\frac{-12\±\sqrt{12^2-4(-10)(-9)}}{2(-10)}$

$x=\frac{-12\±\sqrt{-216}}{-20}$

Remember that:

$i=\sqrt{-1}$

Therefore,rewriting and simplifying, you get:

$x=\frac{-12\±6i\sqrt{6}}{-20}$

$x=\frac{-6(2\±i\sqrt{6})}{-2(10)}$

$x=\frac{3(2\±i\sqrt{6})}{10}$

Then, you get the following roots:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

6 0

2 years ago

Read 2 more answers

Please help with question with explanations. Ty.

earnstyle [38]

Answer:

last option is correct answer

Step-by-step explanation:

$perimeter = 2(l + w) \\ = 2( \frac{5x + 10}{2x + 5} + \frac{x - 2}{2x + 5} ) \\ = 2( \frac{5x + 10 + x - 2}{2x + 5} ) \\ = 2( \frac{6x + 8}{2x + 5} ) \\ = \frac{12x + 16}{2x + 16}$