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White raven [17]
4 years ago
13

In triangle ABC, M is the midpoint of AB. Prove that

Mathematics
1 answer:
mina [271]4 years ago
6 0

Step-by-step explanation:

M is the midpoint of AB.  First, find the coordinates of M.

M = ((4 + 0) / 2, (2 + 4) / 2)

M = (2, 3)

Now find the slope of MC:

m = (15 − 3) / (8 − 2)

m = 12 / 6

m = 2

Find the slope of AB:

m = (4 − 2) / (0 − 4)

m = 2 / -4

m = -1/2

The slopes are opposite inverses, so the two are indeed perpendicular.

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The side lengths of a rectangle are all multiplied by 5. What happens to its perimeter?
stiv31 [10]

Answer:

The perimeter is multiplied by 5.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle with sides l and w is given by:

P = 2(l + w)

The side lengths of a rectangle are all multiplied by 5.

This means that l = 5l, w = 5w. So

P_M = 2(5l + 5w) = 2*5(l+w) = 10(l + w)

What happens to its perimeter?

The rate is:

\frac{P_M}{P} = \frac{10(l+w)}{2(l+w)} = 5

The perimeter is multiplied by 5.

8 0
3 years ago
A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month
KengaRu [80]

Answer:

i need this please

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the solution set for the open sentence with the given replacement set y2 -3=y+ [0,1,3,4]
stich3 [128]
It is three cuz when replace with three it is all equal:
3(2)-3=3
6-3=3
3=3
please rate as brainliest and hope this helps :)
7 0
3 years ago
X-45=8(2x+3)-18 what are the first steps to solving this equation
Mamont248 [21]

Step-by-step explanation:

step one Distribute

x−45=8(2x+3)−18

x−45=16x+24−18

step two Subtract the numbers

x−45=16x+24−18

x−45=16x+24−18

3 0
3 years ago
Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or)  part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

#SPJ4

4 0
2 years ago
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