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Juliette [100K]
3 years ago
11

WRITE 4.625 AS A MIXED NUMBER IN SIMPLEST FORM

Mathematics
1 answer:
Vesna [10]3 years ago
7 0
The correct answer would be 4 5/8.
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K is the midpoint of PQ, P has
Pachacha [2.7K]

Answer:

Coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  (x_2,y_2)

We will use the formula of midpoint: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We are given midpoint K and x_1,y_1 the coordinates of P we need to find x_2,y_2 the coordinates of Q.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\

Now, we can write

-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16

So, we get coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

6 0
3 years ago
7(2p+3)-8=6p+29<br> Please some help me solve this equation with steps.
stepan [7]
So,

First, I'd like to note that it is required to show work.  You shouldn't need to ask for steps.

7(2p + 3) - 8 = 6p + 29

Distribute
14p + 21 - 8 = 6p + 29

Collect Like Terms
14p + 13 = 6p + 29

Subtract 6p from both sides
8p + 13 = 29

Subtract 13 from both sides
8p = 16

Divide both sides by 8
p = 2

Check
7(2(2) + 3) - 8 = 6(2) + 29

Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) +  29
7(7) - 8 = 6(2) + 29

Now, distribute.
49 - 8 = 12 + 29

Collect Like Terms
41 = 41 This checks.

S = { 2 }
4 0
3 years ago
Read 2 more answers
What is the relationship between the segments PQ and P’Q’
cupoosta [38]

Answer:

\frac{PQ}{P'Q'}=2.5

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

In this problem Triangles OQP and OQ'P' are similar by AA Similarity Postulate

so

\frac{PQ}{P'Q'}=\frac{OP}{OP'}

we have

OP=12-2=10\ units

OP'=6-2=4\ units

substitute

\frac{PQ}{P'Q'}=\frac{10}{4}=2.5

5 0
3 years ago
8 people are in line a family with a wife and husband and 3 children cut in line then 4 more people cut in line then the family
SVETLANKA909090 [29]

Answer:

17 people

Step-by-step explanation:

8 people are in line a family with a wife and husband and 3 children cut in line then 4 more people cut in line then the family with 3 children cut in line in front again how many people are there?

8 (the begining) + 5 (wife husband & 3 children) + 4 ( the four more people)= 17 (donʻt add the family w/ 3 children again because they were already in line.)

8 0
3 years ago
What is the distance between the points -3,4 and 5,4
Katen [24]

Answer:

8 units

Step-by-step explanation:

Because the y-intercept for both ordered pairs is 4, then all you need to do is subtract X2 from X1, which is 8.

6 0
3 years ago
Read 2 more answers
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