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Semenov [28]
3 years ago
8

Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a

Mathematics
1 answer:
Tanya [424]3 years ago
3 0
A. assuming the sales tax is already added to the 72.60 all you have to do is add 20%
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Write the slope-intercept form of the equation of each line.
gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-2}

The negatives cancel out which leave \frac{1}{2}

So the gradient is \frac{1}{2}


Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1  = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = \frac{1}{2}(x - 2)

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y =  -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>
5 0
3 years ago
What is the range for this data set?<br>37 years<br>9 years<br>41 years​
rewona [7]

Answer:

30 years

Step-by-step explanation:

41 minus 11=

6 0
3 years ago
Frank has 8 soup bowls. He wants to pour 1/3 pint of soup in each bowl. Will Frank need more or less than 8 pints? How much soup
Margarita [4]
He would need less than 8.  So he would need 2.5 pints. I think.
5 0
2 years ago
Help i don't understand please lolololol
agasfer [191]
Set the equations equal to each other and solve for the variable x. then use the answer from x and plug it in to the equations and you should get an answer

3x=63

63÷3=x

21=x

x=21

that is the value of x

73 is the answer to the top equation and the bottom equation in the triangle. Meaning the equations are equal to each other when you have 21 plugged in for the variable x.
make sure to put your label if it asks for it. it means the book or the teacher. go by what the teacher says if it is different from what the book says



4 0
2 years ago
Read 2 more answers
A perpendicular bisector, , is drawn through point C on .
Liula [17]

Answer:

The x-intercept of CD is B(18/5,0). The point C(32,-71) lies on the line CD.

Step-by-step explanation:

the x-intercept of CD is[ A(3,0) B(18/5,0) C(9,0) D(45/2,0) ] . Point [ A(-52,117) B(-20,57) C(32,-71) D(-54,-128) ] lies on CD.

Given :

CD is perpendicular bisector of AB.

The coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6).

C is the midpoint of AB.

C=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{7-3}{2},\frac{2+6}{2})=(2,4)

The coordinates of C are (2,4).

Line AB has a slope of:m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{6-2}{7-(-3)}=\frac{4}{10}=\frac{2}{5}

The product of slopes of two perpendicular lines is -1. Since the line CD is perpendicular to AB, therefore the slope of CD : m_2=-\frac{5}{2}

The point slope form of a line is given by:

y-y_1=m(x-x_1)

The slope of line CD is -\frac{5}{2} and the line passing through the point (2,4), the equation of line CD can be written as:

y-4=-\frac{5}{2}(x-2)\\y=-\frac{5}{2}x+5+4\\y=-\frac{5}{2}x+9       .... (1)

The equation of CD is y=-\frac{5}{2}x+9

In order to find the x-intercept, put y=0.

0=-\frac{5}{2}x+9\\\frac{5}{2}x=9\\x=\frac{18}{5}

Therefore the x-intercept of CD is B(18/5,0).

Put x=-52 in eq(1).

y=-\frac{5}{2}(-52)+9=139

Put x=-20 in eq(1).

y=-\frac{5}{2}(-20)+9=59

Put x=32 in eq(1)

y=-\frac{5}{2}(32)+9=-71

Put x=-54 in eq1).

y=-\frac{5}{2}(-54)+9=144

Thus, only point (32,-71) satisfies the equation of CD. Therefore the point C(32,-71) lies on the line CD.

8 0
3 years ago
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