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rewona [7]
3 years ago
11

Find the slope and reduce P=(-2,3) Q=(8,3)

Mathematics
2 answers:
Tanya [424]3 years ago
7 0

Answer:

∆y/∆x=y2-y1/x2-x1

=3-3/(-2+3)

=0/1

=o I.e it is undefine

Anastaziya [24]3 years ago
5 0

Answer:

0 slope

Step-by-step explanation:

Slope formula:

y₂ - y₁ / x₂ - x₁

3 - 3 / 8 - (-2)

0 / 8 + 2

0 / 6

0

From here, the rise is zero so the line has a slope of 0.

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Julia is five years older than her sister Babs, and their ages add up to 31. How old is Babs?
Tresset [83]
<span>Julia is X+5

</span><span>x+x+5=31
</span>
Now we just solve the equation 

2x=31-5
x=26/2
x=13 years old (Babs' age)

and we know that julia is 5 years older this gives us the conclusion that. 

13+18=31
4 0
3 years ago
Read 2 more answers
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
2 years ago
Geraldo is trying to fit his encyclopedias on the shelf. Each encyclopedia is 2 1/4 inches thick. If Geraldo shelf is 2 1/4 feet
Maurinko [17]

Answer:

12

Step-by-step explanation:

First, find out how wide his shelf is in inches. 2.25*12=27. So his shelf is 27 inches wide. Then divide that by 2.25 to find the number of encyclopedias will fit.

8 0
2 years ago
Michael estimated his mass as 8 kilograms
Marianna [84]
His estimate is reasonable. But only if Michael is less than 2 years old.
4 0
2 years ago
Nind reeds
Usimov [2.4K]

Answer:

42 gallons.

Step-by-step explanation:

count every inch *2 and calculate gallons

3 0
2 years ago
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