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3 years ago

PLEASE EXPLAIN ?? I just need it explained how to do it step by step so I can do the next one ((:

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

L (4, 6) M (-2, 1)
The width of the line is the difference in "X" values (4 minus -2 = 6) and the height is the difference in "Y" values (6 minus 1 =5)

So the midpoint of LM will be a point that is half-way of the "X" and "Y" distances (6/2 = 3 and 5/2 - 2.5)
"X" goes from -2 to 4. Adding 3 to -2 equals 1
"Y" goes from 1 to 6. Adding 2.5 to 1 equals 3.5
So the midpoint = (1, 3.5)

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3 years ago

Read 2 more answers

If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

ANEK [815]

Answer:

$r=4$

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

$y-(3)=-1(x-(-9))$

Simplify:

$y-3=-(x+9)$

Distribute:

$y-3=-x-9$

Add 3 to both sides. So, our equation is:

$y=-x-6$

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

$r=-(-10)-6$

Evaluate for r. Distribute:

$r=10-6$

Subtract:

$r=4$

So, the value of r is 4.

And we're done!

6 0

3 years ago

How many different right triangles are there with a hypotenuse of lenght 5 cm

Sveta_85 [38]

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

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3 years ago

A box of colored pencils cost $4.50 if there are 40 pencils how much would 60 pencils cost

OLga [1]

Answer:

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Step-by-step explanation:

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3 years ago

If a denotes some event, what does upper a overbara denote? if p(a)equals=0.9930.993, what is the value of p(upper a overba

masya89 [10]

P(A) = 0.993 is the probability of event A
_
P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)

Then, use the fact that the probability of A plus the probability not A is equal to 1:
                  _
=> P(A) + P(A) = 1
       _
=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007

So, the answers are:
      _
1) P(A) = 0.07
             _
2) Yes, A is unlikely because its probability is very low.

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3 years ago