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Black_prince [1.1K]
2 years ago
5

What is the slope of a line parallel to a line with slope 2/3

Mathematics
1 answer:
Effectus [21]2 years ago
3 0

Answer:

2/3

Step-by-step explanation:

parallel lines have the same slope

given that a line has a slope of 2/3

a line that is parallel to this line would also have a slope of 2/3

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Explain how you could use either of two operation to solve exercise 10.
zheka24 [161]
You want to know the factor by which 3 2/3 is multiplied to get 7 1/3.

1. You can estimate that it is 2 from 7/3 ≈ 2, then check by multiplication to see if that is right.
.. 2*(3 2/3) = 6 4/3 = 7 1/3 . . . . 2 is the correct factor.

2. You can divide 7 1/3 by 3 2/3 to see what the factor is.
.. (7 1/3)/(3 2/3) = (22/3)/(11/3) = 22/11 = 2 . . . . 2 is the factor Earl used.

3. You could see how many times you can subtract 3 2/3 from 7 1/3.
.. 7 1/3 -3 2/3 = (7 -3) +(1/3 -2/3) = 4 -1/3 = 3 2/3 . . . . . subtracting once gives 3 2/3
.. 3 2/3 -3 2/3 = 0 . . . . . . subtracting twice gives 0, so the factor is 2.

4. You could add 3 2/3 to see how many times it takes to get 7 1/3.
.. 3 2/3 +3 2/3 = (3 +3) +(2/3 +2/3) = 6 +4/3 = 7 1/3
We only need to add two values of 3 2/3 to get 7 1/3, so the factor is 2.

___
We have shown methods using multiplication, division, subtraction, addition. Take your pick.
3 0
2 years ago
Solve Inequality <br> -14x &gt; -112
den301095 [7]

Answer:

x <8

Step-by-step explanation:

-14x > -112

Divide each side by -14.  Remember that flips the inequality

-14x/-14 < -112/-14

x <8

8 0
2 years ago
Read 2 more answers
I want the answer to this , zoom in if you can't see well
galben [10]

We are going to need to know the formula for the lateral surface area and volume of a cylinder in order to find our answers. Below are the equations:

A_L = 2 \pi r h

V = \pi r^2 h

  • h is the height
  • r is the radius

Using these formulas, we can solve these problems.

A_L = 2 (3.14)(48.9) (84.3) \approx \boxed{25887.856}

V = (3.14) (48.9)^2 (84.3) \approx \boxed{632958.069}

3 0
3 years ago
Solve for s: 1/4r+4s=5
Serga [27]

Answer:

the answer is s=5/4 minus 1/16

hope this helps :D

8 0
3 years ago
Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)

Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

152=190-Ae^{-14k}.e^{14k}

Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

A=152

7 0
3 years ago
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