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3 years ago

Name a pair of vertical angle

Mathematics

1 answer:

xeze [42]3 years ago

4 0

Answer:

If we draw a pair of intersecting lines, we have created two pairs of vertical angles. Here, angles AOC and BOD are a pair of vertical angles. Angles AOB and COD are also a pair of vertical angles. Notice that vertical angles are never adjacent angles.

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Use the distributive property to solve the following 4(4a+6b)

Alina [70]

$4(4a+6b) =16a+24b$

6 0

2 years ago

Can someone help me out please.

KATRIN_1 [288]

Step-by-step explanation:

You need to reflect the shape along the line

5 0

2 years ago

Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written

Elena-2011 [213]

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

8 0

2 years ago

Please help me I will really appreciate it!!!

slega [8]

Answer:

$\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}$

The last option matches the correct solution

Step-by-step explanation:

Equation Solving

We have the following equation:

$\displaystyle V=\frac{4}{3}\pi r^3$

And it's required to solve it for r.

Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.

It can be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 3:

$\displaystyle 3V=4\pi r^3$

Move $4\pi$ to the other side by dividing by $4\pi$ :

$\displaystyle \frac{3V}{4\pi}= r^3$

Swapping sides to have r at the left side:

$\displaystyle r^3=\frac{3V}{4\pi}$

Finally, take the cubic root and leave r alone:

$\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}$

The last option matches the correct solution

5 0

3 years ago

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

krok68 [10]

$4^{x} = 64$

By taking logarithmic of base 10

∴ $log 4^{x} = log 64$

∴ x log 4 = log 64

∴ $x = \frac{log \ 64}{log \ 4}$

∴ The correct choice is
x = log base 10 of 64, all over log base 10 of 4

8 0

3 years ago

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