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2 years ago

-(-2) ...................................................

Mathematics

1 answer:

stepladder [879]2 years ago

4 0

the 2 negatives get rid of eachother so its 2

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Use the substitution method to solve each system of equations. Write the answer in ordered pairs.

tatyana61 [14]

x -y = 1

5x + 3y = 45

Solve the first equation for x: x = y + 1

Substitute x in the second with y + 1

5x + 3y = 45

5(y + 1) + 3y = 45

5y + 5 + 3y = 45

8y + 5 = 45

8y = 40

y = 5

Substitute 5 for y in x = y + 1

x = y + 1

x = 5 + 1

x = 6

Answer: (6, 5)

5 0

3 years ago

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

9. What is the system of equations that describes the following graph?

jeka94

The graph represented in the figure shows a set of linear equations each of which is represented a straight line.

Step-by-step explanation:

System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.

Linear set of equations are the most simple of equation depicting a linear relationship between two variables.

E.g. Y=4x+3

here y and x share a linear relationship which is defined by the straight-line graph "4x+3"

Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.

3 0

3 years ago

Which of the numbers below are exactly divisible by 9?

ss7ja [257]

B and C can be divided by 9.

8 0

3 years ago

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What is the ratio of the corresponding side lengths?<br> 4:9<br> 4:2<br> 26:26<br> 4.5:2

Evgen [1.6K]

Answer:

4:2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers