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Gnom [1K]
3 years ago
12

What is the slope of the line?

Mathematics
2 answers:
djyliett [7]3 years ago
7 0

Answer:

The slope is 1

musickatia [10]3 years ago
3 0

Answer:

The slope of this line is 1.

Step-by-step explanation:

It is 1 because the distance between each plot point on the line goes up 1 over 1. (1/1=1)

And, when this is tested:

y=1x+1 - (2,3) 3=1(2)+1

                     3=2+1

                       3=3 This is true.

Meaning that the slope is 1.

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Triangle ABC is an isosceles triangle in which side
Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using this formula, we get

AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5

BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5

Now,

Perimeter of triangle ABC = AB + BC + AC

                        =5+\sqrt{10}+5

                        =10+\sqrt{10}

So, perimeter of triangle ABC is 10+\sqrt{10} units.

Therefore, the correct option is B.

4 0
3 years ago
Read 2 more answers
A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D
Alika [10]
The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b. 

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

(y\times a)\times (y\times b)=9x
y^2ab=9x
y^2x=9x
y=3

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is 5 \times 8=40

And so then x=40

And then after the dilation, it would be 9x=9(40) = 360

We could check it another way too. Since we said the scale factor is 3, then:

( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360

So basically 15 by 24 is the new dimensions :)

6 0
3 years ago
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
Studentka2010 [4]

Answer:

8 : 6 = 24 : 18

Step-by-step explanation:

If there were 24 girls in class, there would be 18 boys.

Girls: 8, 16, 24

Boys: 6, 12 , 18

4 0
3 years ago
Read 2 more answers
Solve using substitution <br><br> x + 3y = 9<br> -2x + y = -4<br> HURRY I NEED HELP
bogdanovich [222]

Answer:

Hello There!!

Step-by-step explanation:

1)x+3y+−3y=9+−3y

x=−3y+9

2)−2x+y+−y=−4+−y

−2x/-2=−y−4/-2

x=1/2 y+2

hope this helps,have a great day!!

~Pinky~

6 0
3 years ago
Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?
9966 [12]
To get the answer, first, you need to turn them into decimals 
16 1/5 =16.2 and 5 2/5 =5.4
then all you need to do is to divide the numbers 
16.2 divided by 5.4 equals to 3 
so the answer is 3
6 0
3 years ago
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