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2 years ago

Write the equation of the line through the points (4,5) and (12,9)

Mathematics

2 answers:

Vinil7 [7]2 years ago

3 0

Answer:

y - 9 = 1/2 (x - 12)

Step-by-step explanation:

find slope:

9-5 = 4, 12 - 4 = 8, slope = 1/2

put in point-slope form:

y - 9 = 1/2 (x - 12)

torisob [31]2 years ago

3 0

Y = 1/2x + 3 is the answer

to even check plug in the points

5 = 1/2(4) +3
5=2+3
5=5

9=1/2(12) + 3
9=6 + 3
9=9

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Label the number line below. Label the following fractions 1/4,1/2,3/4,2/2

dsp73

The number line should go in this order:
1/4,1/2,3/4, and 2/2
1/4=0.25
1/2=0.5
3/4=0.75
2/2=1

5 0

2 years ago

Read 2 more answers

12ab = 4 solve for a

WITCHER [35]

Answer:

-3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Pepsi [2]

X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9

Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9

Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12

Step 4: Divide both by -3
-3x/-3=-12/-3
X=4

6 0

3 years ago

Pls answer 9-16 show work will give brainliest

iren [92.7K]

9. $12,50

10. $17.50 (ripoff lol)

11. Clearly Alastair, they got some strong muscles

12. Taryn would be charging $15 an hour and alastair $24.50 an hour. $735 divided by $15 an hour equals 49 hours for Taryn. $735 divided by $24.50 an hour equals 30 hours for Alastair.

13a. 5 minutes to make a sculpture and 7 balloons in a sculpture

13b. Tomas uses 1.4 balloons a minute

13c. 14 balloons (tip. when multiplying a decimal by 10, 100, etc, just move the decimal for the number of zeroes.) 1.4x10 = 14. Simply move the decimal to the right one because there is one zero in 10.

13c blanks. The first blank is 1.4 and the second blank is 14

14. 8 pound bag of dog food is a way better deal!

15. $10.50

16a. The price for 25 whistles is $0.85 each, 50 whistles for $0.72 each, or 80 whistles for $0.75 each. The difference between the highest number and lowest number is $0.13 or 13 cents.

16b. $0.34 or 34 cents

16c. She should order 80 Kazoos <em>not a meme reference</em>

I hope all of this helped! It took forever!

8 0

3 years ago

Which of the following are true statements.

Mariulka [41]

Answer:

Second statement is true.

The lengths 7, 40 and 41 can not be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

Step-by-step explanation:

for first part of statement

The lengths 7, 40 and 41 can not be sides of a right triangle.

If the square of long side is equal to the sum of square of other two sides

then the given length can be sides of a right triangle.

Check the given length by Pythagoras Theorem.

$c^{2} =a^{2} +b^{2}$ ----------(1)

Let $c=41$ and $a = 7$ and $b=40$

Put all the value in equation 1.

$41^{2} =7^{2} +40^{2}$

$1681=49+1600$

$1681=1649$

Therefore, the square of long side is not equal to the sum of square of other two sides, So given lengths 7, 40 and 41 can not be sides of a right triangle.

for second part of statement.

The lengths 12, 16, and 20 can be sides of a right triangle.

Check the given length by Pythagoras Theorem.

Let $c=20$ and $a = 12$ and $b=16$

$20^{2} =12^{2} +16^{2}$

$400=144+256$

$400=400$

Therefore, the square of long side is equal to the sum of square of other two sides, So given the lengths 12, 16, and 20 can be sides of a right triangle.

Therefore, The lengths 7, 40 and 41 can not be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

8 0

2 years ago