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svlad2 [7]
3 years ago
6

Determine the slope of the line that passes through each pair of points. E(1,2) , F(4,7)

Mathematics
1 answer:
madreJ [45]3 years ago
3 0
Ok, so to find the slope, you use the slope formula.
Plugging the numbers in, you get 7-2/4-1.
Simplify, get 5/3.
5/3 is the slope of the line.
Hope this helps
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17 to 26 <br> Help me please
Pepsi [2]

Answer:

See below

Step-by-step explanation:

17.  17x + 3 x=4              18.  -2x + 1 / 3  x= -5

      17(4) + 3                          - [(2)(-5) + 1] / 3

      68 + 3                              - [-10 + 1] /3

       71                                       9/3  or 3

19.  2x - 33 x=9              20.  - 9x - 2  x=7

      (2)(9) - 33                         -(9)(7) - 2

       18 - 33                               -63 - 2

       - 15                                       -65

21.  7/3x - 9   x=3            22.  - [12x/5]   x= -1

      (7/3)(3) - 9                         - [(12)( -1)/5]

         7 - 9                                - [ -12/5 ]

         -2                                         2.4

23.  11x - 11   x = -11         24.  (2/9)x - (9/2)   x= 9

       - 121 - 11                           (2/9)(9) - (9/2)

         -132                                  2 - (9/2)  ( 2 can be shown as 4/2)

                                                      (4/2) - (9/2)

                                                          - 5/2  or   - 2.5

25.  f(x) = 0.12x + 4.52  x = 250     26.  f(x) = 0.18x + 3.12  x= 175

         = (0.12)(250) + 4.52                           = (0.18)(175) + 3.12

         = 30 + 4.52                                        = 31.50 + 3.12

         =  34.52                                             = 34.62

4 0
3 years ago
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station.
inn [45]

Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

4 0
3 years ago
√8x^2 divided by √2x
Ghella [55]
Question: Simplify \frac{\sqrt{8x^2}}{\sqrt{2x}}.

First off, you <em>never</em> want square roots on the bottom of a fraction, so let's multiply both sides by \sqrt{2x} to get rid of it. All we have to do from there is simplify!

\frac{\sqrt{8x^2}}{\sqrt{2x}}*\frac{\sqrt{2x}}{\sqrt{2x}}=\frac{\sqrt{8x^2}*\sqrt{2x}}{2x}}=\frac{\sqrt{16x^3}}{2x}=\frac{4x\sqrt{x}}{2x}=\boxed{2\sqrt{x}}


7 0
2 years ago
Read 2 more answers
Using the following diagram below, please answer the following:
Colt1911 [192]
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2

The radius is given in the diagram as half the circle, which is 15 cm.

The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.

The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.

The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
7 0
2 years ago
Does the point (1, –9) satisfy the equation y = 3x − 6?
Tju [1.3M]

Answer:

No.

Step-by-step explanation:

Well, is the points (1, -9) does satisfy the equation y = 3x - 6. Then, substituting the values of x, and, y, into the equation y = 3x - 6,  we should get a true equation.

y = 3x - 6

-9 = 3 * 1 - 6

-9 = 3 - 6

-9 = -3.

So, the points (1, -9) does not satisfy the equation y = 3x - 6.

8 0
2 years ago
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