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4 years ago

What is the midpoint between (-5,4) and (-6,7)

Mathematics

1 answer:

just olya [345]4 years ago

8 0

(-5.5,5.5)
You need to average -5 and -6
And 7 and 4

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jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number lin

attashe74 [19]

The solos is to subtract the. 15 from 120 to get the aw set the question

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4 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago

True or False:The following pair of ratios forms a proportions.3/2 and 18/8

JulsSmile [24]

Answer:

Correct answer: False

Step-by-step explanation:

coeff c= 3/2 = 1,5 coeff c₁ = 18/8 = 2,25

c ≠ c₁

God is with you!!!

7 0

4 years ago

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Another s United States traveler arrives at a United States point of entry he purchased a fiat car abroad that cost him 6,250 if

ioda

Answer:

The answer is "156.25"

Step-by-step explanation:

They recognize that international automobiles manufactured in the U.S. were typically commercial goods at the price fixed, either new used or, whether for personal use and sale: cars - 2.5%.

Through task, we learn that the overseas Fiat car which cost him 6250.

We get the proportion as follows:

$\to 100 :6250=2.5: x\\\\\to \frac{100}{6250}=\frac{2.5}{x}\\\\\to 100 \times x = 2.5 \times 6250\\\\\to x= \frac{2.5 \times 6250}{100}\\\\\to x= 156.25$

The duty he has to pay is 156.25.

6 0

3 years ago

Read 2 more answers

What is the anwser to this 5x-18-3x=4

Darya [45]

You break it down into steps. FIrst do the X's. 5x-3x=2x Then you add 18 to both sides and your equation looks like this 2x=22 Divide by 2 on both sides and x=11

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3 years ago

Read 2 more answers