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Lynna [10]
3 years ago
14

Write an equation of the line that passes through (7.10) and is perpendicular to the line y =

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

10 = -2(7) +24

Step-by-step explanation:

or

y = -2 (7) +24

first, we find the negative reciprocal of the slope of the first equation.

1/2 = -2/1 = -2

So the slope for the new equation will be -2

y = -2x+b

Now we know it will pass through the point (7,10)

So the x coordinate will become x, and the y coordinate will become y

10= -2(7) +b

-2 x 7 = -14 + b = 10

-14 -10 = -24

so

b = 24

because

-14 + 24 = 10

So our final equation(s) are

y = -2(7) +24

or

10 = -2 (7) + 24

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Tell whether the given side lengths form a right triangle.<br> 6, 11, 16
Lubov Fominskaja [6]

Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

16^2=256

Sum of the squares of the two smaller sides is:

6^2+11^2=36+121

6^2+11^2=157

Since 6^2+11^2\neq 16^2, therefore the given triangle is not a right angle triangle.

5 0
3 years ago
Answerrr pleaseeee hellppp
yanalaym [24]
30 hours. Just multiply 10 by 15 to get 150 and then 2 times 15 is 30.
6 0
3 years ago
Read 2 more answers
Someone please explain this to me, thank you.<br><br> -63 / (-9) =
tangare [24]
Since they're both negative the answer is 7
7 0
4 years ago
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If a postal worker can deliver the mail to 18 houses in 15 minutes, how many houses will the postal worker be able to deliver to
il63 [147K]

Answer:

72 houses.

Step-by-step explanation:

We are told that a postal worker can deliver the mail to 18 houses in 15 minutes.

Let us find numbers of mails delivered by postal worker per minute.

\text{Number of mails delivered per minute}=\frac{18\text{ houses}}{15\text{ minutes}}

\text{Number of mails delivered per minute}=1.2\frac{\text{ houses}}{\text{ minute}}

Since we know that 1 hour equals 60 minutes, so we will multiply 1.2 by 60 to find the number mails postal worker will deliver in 1 hour.

\text{Number of mails delivered in 1 hour}=1.2\frac{\text{ houses}}{\text{ minute}}\times 60\frac{\text{minutes}}{\text{hour}}

\text{Number of mails delivered in 1 hour}=1.2\times 60\frac{\text{ houses}}{\text{hour} }

\text{Number of mails delivered in 1 hour}=72\frac{\text{ houses}}{\text{hour} }

Therefore, the postal worker will be able to deliver mails to 72 houses in 1 hour.

4 0
4 years ago
Read 2 more answers
(Can somebody help me with all these problems? I would really really appreciate it)Thank You!!! (15 points)
MA_775_DIABLO [31]

Step-by-step explanation:

1. +2-(+3) also is equal to 2-3. answer is -1

2. +11+(-10) also is equal to 11-10. answer is 1

3. 3+(-5) is also equal to 3-5. answer is -2

4. 22-21= 1

5. -8-(-44) is also equal to -8+44. answer is 36

6. -12+6+3 answer is -3

7. 16+12 answer is 28

8. -36+36=0

9. -4 x 10= -40

10. -1 x -1= 1

11. 7 x -7= -49

12. -4/4= -1

13. -7 x -5=35

14. -10 x 8 = -80

15. -2 x -7 = 14

Key tips to remember

a negative+ a negative also known as a double negative is always added.

negative * negative always equals positive

negative * positive always equals negative

6 0
3 years ago
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