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Georgia [21]
3 years ago
5

What is the x-coordinate of the midpoint of the segment between (4 , -5) and (8 , 2)?

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer: -5

Solution: Calculate the midpoint of a segment defined by two points A(Xa , Ya) and B(Xb,Yb). The midpoint is a point whose x and y coordinates are given by

X coordinate of Midpoint= (Xa+Xb) / 2

Y coordinate of Midpoint= (Ya+Yb) / 2

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A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?
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The answer you are looking for would be 3 dollars
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3 years ago
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PLEASE ANSWER At a basketball game, 75% of people attending were supporting the home team, while 25% were supporting the visitin
Rufina [12.5K]

75% = 0.75

750 people / 0.75 = 1,000 people

There were 1,000 total people attending the game

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3 years ago
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Write the equation of a line that is perpendicular to the given line and that passes through the given point.
HACTEHA [7]
First, let's re-arrange to slope-intercept form.

x + 8y = 27

Subtract 'x' to both sides:

8y = -x + 27

Divide 8 to both sides:

y = -1/8x + 3.375

So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.

So the slope of the perpendicular line will be 8.

Now we can plug this into point-slope form along with the point given.

y - y1 = m(x - x1)

y - 5 = 8(x + 5)

y - 5 = 8x + 40

y = 8x + 45
7 0
4 years ago
Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
Wittaler [7]

Answer:

y=\frac{9}{4}x-\frac{55}{4}

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{2-(-7)}{7-3}

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

\frac{9}{4}

The slope is \frac{9}{4}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

2=\frac{9}{4}(7)+b

2=\frac{63}{4}+b

-\frac{55}{4} =b

The y-intercept is -\frac{55}{4}.

Now that we know the slope and the y-intercept, we can write the equation:

y=\frac{9}{4}x-\frac{55}{4}

6 0
3 years ago
The front of Josh’s roof is shaped like a triangle. It has a base of 100 feet and a height of 15 feet. What is the area of Josh’
mario62 [17]

Answer:

750 feet^2

Step-by-step explanation:

Area of triangle = 1/2bh

(1/2)(100)(15)

750 feet^2

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