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Yanka [14]
3 years ago
11

1 point

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

last option

Step-by-step explanation:

y + 3 = 2 ( x - 1 )

⇒ y + 3 = 2x - 2

⇒ y = 2x - 5

You might be interested in
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
IF A CHICKEN FARM SOLD 3,000  DOZEN EGGS LAST WEEK HOW MANY INDIVIDUAL EGGS WERE SOLD?
weeeeeb [17]
There are 250 eggs sold by not grouped in dozens
8 0
2 years ago
Read 2 more answers
Selectie correct answer.
denis-greek [22]

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

4 0
3 years ago
There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would the se
coldgirl [10]

Answer:

a = 24*1/3

a =8  

Step-by-step explanation:

We are using proportions to solve this problem by putting students over adults

students         3                   24

--------------- = ---------------  = -------------

adults                 1                   a

where a is the unknown number of adults

Using cross products

3a=24*1

Divide by 3

a = 24*1/3

a = 24/3

a = 8

5 0
2 years ago
Please hurry i don't have much time left!
quester [9]

Answer:

Check below

Step-by-step explanation:

That's too bad you haven't attached a rectangle.

Here's an example, with the data you've typed in.

1) When we dilate a rectangle we either grows it or shrink it through a scale factor.

Check the first picture below.

The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the <u>Center of Dilation is at its origin(Middle):</u>

D_{A'B'C'D'}=\frac{1}{2}(x,y)

2) But In this question, <u>B is the center of Dilation</u>. So, Since B is the Dilation Point B=B' .  And More importantly:

\bar{AB}=\frac{1}{2}\bar{A'B'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\\bar{AC}=\frac{1}{2}\bar{A'C'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\

3) So check the pictures below for a better understanding.

6 0
2 years ago
Read 2 more answers
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