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dimulka [17.4K]
4 years ago
11

Find the midpoint of the line segment joining the points (10, 13) and (−7, 7).

Mathematics
1 answer:
kap26 [50]4 years ago
4 0

Let the midpoint be (x,y). We can find it by using the midpoint formula.

(x,y) = (\frac{10-7}{2}, \frac{13+7}{2})

(x,y) = (\frac{3}{2},\frac{20}{2})

(x,y) = (1.5,10)

Thus, the midpoint is (1.5,10).

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line
NikAS [45]

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

8 0
3 years ago
Read 2 more answers
Find the solutions to the equation by completing the square.
rjkz [21]

Answer:

Step-by-step explanation:

hello :

x² - 6x = 7

x² - 6x+9-9___= 7

(x - 3 )²= __16_

x - 3= +/-_4__

x-3=4__and x-3 =_-4_

8 0
3 years ago
BRAINLIST!!! The area of Alex's room is 168 square feet. If his room is a rectangle and one side is 12 feet, how long is the oth
Cloud [144]

Answer:

the missing length is 14 feet.

Step-by-step explanation:

a = L × W

168ft² = 12 × W     - divide both sides of the equation by 12

                             - 168 ÷ 12 = 14

168ft² = 12 × 14

6 0
3 years ago
What us the volume of this?
ExtremeBDS [4]
Break down the figure into 2 parts. Then use volume formula and multiply.
V=lwh
V=3x3x2
V=18ft^2

V=lwh
V=2x2x3
V=12ft^2
Then simply add.
  18
+12
-------
  30
5 0
3 years ago
Read 2 more answers
Lakeview is 101 miles from Springfield. Irania must go to the law library in Springfield to get a document for the law firm for
Arlecino [84]

Answer: Approximately 4.1224 hours

4.1224 hours = 4 hours, 7 minutes, 21 seconds approximately

===========================================

Work Shown:

d = distance = 2*101 = 202 miles

r = rate or speed = 49 mph

t = time = unknown

d = r*t

202 = 49*t

49t = 202

t = 202/49

t = 4.1224 hours approximately

--------------

If you want to convert to hours,minutes,seconds, then...

4.1224 hours = 4 hours + 0.1224 hours

4.1224 hours = 4 hours + (0.1224*60) min

4.1224 hours = 4 hours + 7.344 min

4.1224 hours = 4 hours + 7 min + 0.344 min

4.1224 hours = 4 hours + 7 min + (0.344*60) sec

4.1224 hours = 4 hours + 7 min + 20.64 sec

4.1224 hours = 4 hours + 7 min + 21 sec ..... approximate

4.1224 hours = 4 hours, 7 min, 21 sec .... also approximate

Note: this time value is driving time only. It does not take into account any time spent at the law library or any other stops.

4 0
3 years ago
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