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cestrela7 [59]
3 years ago
12

Find the distance between these two points (5,9) and (-7,-7)

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

20

Step-by-step explanation:

Use the distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-7 - 5)^2 + (-7 - 9)^2}\\d = \sqrt{(-12)^2 + (-16)^2}\\d = \sqrt{144 + 256}\\d = \sqrt{400} = 20

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For what values of y does the binomial 5y−7 belong to the interval (−5, 13)?
maw [93]
Answer: y should be in the interval (0.4, 4)

Explanation: 

The binomial 5y - 7 is in the interval (-5, 13) if and only if 

-5 < 5y - 7 < 13

Solving the inequalities in this form is the same as solving equation. So, we add all sides of the inequalities by 7 so that

2 < 5y < 20

Then, we divide both sides by 5 to get the following inequalities

0.4 < y < 4

Hence y should be in the open interval (0.4, 4). 
6 0
4 years ago
Can anyone help out with the first question so I can get an idea with the others?
Oksanka [162]
As you can see, the first number line is divided into tenths (0.1, 0.2, 0.3). So, put 8.152 in between 8.1 and 8.2.

Then, the ends of the next number line should be 8.1 at the start, and 8.2 at the end. You keep going smaller to find the exact spot. So, move 5 places inwards and place the 8.153, between 8.15 and 8.16.

Afterwards, the ends of the last number line should be 8.15 and 8.16. Now, it is divided into thousandths. So, find the third spot. Now, it should be 8.153 correctly labeled.


7 0
4 years ago
Plot the image of point P under a reflection across the y-axis.
tigry1 [53]

Answer:

Why are you sending questions at 9:15 in the morning.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time
Nana76 [90]

Answer:

Jenny save 4 times \$ 250 for the month

Step-by-step explanation:

Given Jenny has saved \$3,800 over the last 12 months.

She saved either \$250 or \$350 a month.

Let the number of months to save \$250 be x

Let the number of months to save \$350 be y

Total period is 12 month.

x+y=12 \ \ \ \ equation\ 1

Jenny has saved $3,800 over the last 12 months.

250x+350y=3800

Dividing both side from 50 we get,

\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}

5x+7y=76 \ \ \ \ equation\ 2

Now Multiplying  equation 1 by 5 we get,

5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3

Now Subtracting Equation 3 by equation 2 we get,

(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8

Substituting the value of y in equation 1 we get,

x+y=12\\x+8=12\\x=12-8\\x=4

∴ Jenny save 4 Months of  \$ 250 and 8 Months of  \$ 350in a 12 month duration

4 0
3 years ago
Read 2 more answers
12. A family spends 1 hours traveling to a theme park, 6 hours at the
Rasek [7]

Answer:

4 hours

Step-by-step explanation:

1+1=2

6-2=4

6 0
3 years ago
Read 2 more answers
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