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sattari [20]
3 years ago
6

Find the distance between the points A(-6,8) and B(12, - 7) by using the distance formula or Pythagorean Theorem. Leave your ans

wer under the radical unless it is a a perfect square. Or, round your decimal answer to the nearest tenth.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

d=23.43

Step-by-step explanation:

Given data

A(-6,8)

X1=-6

Y1=8

B(12, - 7)

X2=12

Y2=-7

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²

Substitute

d=√((12+6)²+(-7-8)²

d=√((18)²+(-15)²

d=√324+225

d=√549

d=23.43

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Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24
Tomtit [17]

Answer:

Daughter age = 3 years

Step-by-step explanation:

Let x be the age of the women and y be the age of the daughter.

Given:

After five year the sum of the women and daughter age = 40

(x+5)+(y+5)=40

At present the sum of the women and daughter age

x+5+y+5=40

x+y+10=40

x+y=40-10

x+y=30--------------(1)

So the sum of the present age is x+y=30

The difference in their present age is 24 years.

x-y=24

x=24+y

Now we substitute x value in equation 1.

(24+y)+y=30

24+2y=30

2y=30-24

2y=6

y=\frac{6}{2}

y=3\ years

Therefore, the daughter age is 3 years.

7 0
3 years ago
I need help what is 3/2 to the third power?
Drupady [299]
It’s the 9 because it’s 3 times 3
6 0
2 years ago
Mr. Davis bought 2 chairs during the sale. The regular price of each chair was $168. What was the total price, in dollars, for b
S_A_V [24]

Answer:

tatol price= $335.16

Step-by-step explanation:

regular price for one item= $168

sale=1/2 %

168 × 0.5/100 = 0.84 (discount)

price of discounted chair= 168-0.86

                                         = 167.16

168+167.16 = $335.16

8 0
3 years ago
Work out the value of: 5x - 2y when x = 3 and y = 4
KATRIN_1 [288]
The expression is 5x - 2y
Use PEMDAS and work out the rest
x = 3 and y = 4
5 x = 5 x 3 = 15
2 y = 2 x 4 = 8
15( x ) - 8 (y) = 7
The answer is 7

Hope This Helps You!
Good Luck Studying :)
4 0
3 years ago
Read 2 more answers
Which functions have an additive rate of change of 3? Select TWO options
Pachacha [2.7K]

Answer:

Second table.

Step-by-step explanation:

A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.

The additive rate of change is determined using the slope formula,

m =  \frac{y_2-y_1}{x_2-x_1}

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

m =  \frac{ - 9- - 3}{4-2}  =  - 3

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.

The additive rate of change of this table is

m =  \frac{ - 1 -  - 4}{3 - 1}  = 3

Therefore the second table has an additive rate of change of 3.

5 0
3 years ago
Read 2 more answers
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