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mote1985 [20]
3 years ago
13

your state charges 10 % of gas tax gas.cpst 2.50 per gallon if you get 6 gallons how.much will your total be

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

the price at the end of it will be $16.5.

Aleks04 [339]3 years ago
3 0
2.50gallon per 6= 15
15+10%=16.50
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Write the slope-intercept form of the equation of the line described.
Ad libitum [116K]

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Given the line

y=-x+2

We know that the slope-intercept form of the line equation is

y=mx+b

here

m is the slope and b is the intercept

Thus, the slope = -1

We know that the parallel lines have the same. Thus, the slope of the parallel line is: -1

Using point-slope of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = -1 and the point (4, 0)

y-0 = -1 (x-4)

Writing in the slope-intercept form

y = -x+4

Thus, the slope-intercept form of the equation of the line equation parallel to y=-x+ 2 will be:

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                                                      8)

<em>Note: </em><em>Your line is a little bit unclear. But, I am assuming the</em>

<em>ine is: </em>y = -x-1

<em />

Given the assumed line

y = -x-1

We know that the slope-intercept form of the line equation is

y=mx+b

here

m is the slope and b is the intercept

Thus, the slope = m = -1

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Using point-slope of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = 1 and the point (4, 3)

y - 3 = 1 (x-4)

Writing in the slope-intercept form

y-3 = x-4

y = x-4+3

y = x - 1

Thus, the slope-intercept form of the equation of the line equation perpendicular to y = -x-1 will be:

  • y = x - 1

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3 years ago
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Answer:

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Step-by-step explanation:

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I need it fast! 10 points!
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The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
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Answer:

base(b)=10 and height(h)=6

Step-by-step explanation:

From the question,

base(b)=x feet

height(h)=(x-4) feet

Area(A)=30 square feet

Now,

We know,

Area of triangle(A)=1/2*b*h

or, 30=1/2*x*(x - 4)

or, 30=1/2*x^2 -4x

or, 30*2=x^2 -4x

or, 60=x^2 -4x

or, 0 = x^2 -4x -60

or, 0 = x^2 +6x - 10x -60

or, 0 = x(x + 6) -10(x + 6)

or, 0 = (x+6) (x-10)

Either,

x+6=0. or, x-10=0

or,x= -6. or, x= 10

Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet

Lastly,

Height(h)=X - 4

=10 - 4

=6 feet

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