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just olya [345]
3 years ago
10

How can these fractions be rewritten so they can be added together?

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

8/12 + 3/12

Step-by-step explanation: multiply 2 and 3 by 4 to add these two fractions correctly.

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AM is a median in △ABC (M∈ BC ). A line drawn through point M intersects AB at its midpoint P. Find areas of △APC and △PMC, if A
Snowcat [4.5K]

Answer:

The area of APC is 70m². The area of triangle PMC is 35m².

Step-by-step explanation:

Let the area of triangle ABC be x.

It is given that AM is median, it means AM divides the area of triangle in two equal parts.

\text{Area of }\triangle ACM=\text{Area of }\triangle ABM=\frac{x}{2}    .....(1)

The point P is the midpoint of AB, therefore the area of APC and BPC are equal.

\text{Area of }\triangle APC=\text{Area of }\triangle BPC=\frac{x}{2}          ......(2)

The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.

\text{Area of }\triangle APM=\text{Area of }\triangle BPM=\frac{x}{4}        .....(3)

The area of triangle APM is 35m².

\text{Area of }\triangle APM=\frac{x}{4}

35=\frac{x}{4}

x=140

Therefore the area of triangle ABC is 140m².

Using equation (2).

\text{Area of }\triangle APC=\frac{x}{2}

\text{Area of }\triangle APC=\frac{140}{2}

\text{Area of }\triangle APC=70

Therefore the area of triangle APC is 70m².

Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².

\triangle BPC=\triangle BPM+\triangle PMC

70=35+\triangle PMC

35=\triangle PMC

Therefore the area of triangle PMC is 35m².

8 0
3 years ago
HELP!! Given f(x)=5x squared and g(x) = x squared + 2x squared - 5x, what is F (x) * g(x)?
TEA [102]
X^2+2x^2-5x

((x^2)+2x^2)-5x

Pull the factors out

3x^2-5x=x(3x-5)

x(3x-5)

x(3x-5)*5x^2

5x(3x-5)*x^2


Final

5x^3*(3x-5)



8 0
3 years ago
3 solutions for x<-2
Soloha48 [4]

Answer:

-3,-4,-5

Step-by-step explanation:

those are all numbers less than -2! your welcome! please give me brainliest!

8 0
3 years ago
Read 2 more answers
10 points <br> Can someone please do number 4
Andrei [34K]

This question wants to know the domain.  For example: (2,4) 2 is the domain and 4 is the range.

Then, they want you to solve by finding X the range when x =-1

x-4/x^2+5x-36

Put -1 everytime you see x

-1-4/-1^2+5(-1)-36

-5/1+(-6)-36

-5/-41 This is the range.

3 0
3 years ago
Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population
laila [671]

Here we will use exponential form, which is

y = y_{0} e^{kt}

Initial value, y0 = 500

Double of 500 = 1000

1000 = 500e^{k*1}

2 = e^k

k= ln (2)

Required equation is

y=500e^{x ln2} \\ y= 500 (2)^x

6 0
3 years ago
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