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Svet_ta [14]
3 years ago
5

How do I write an equation with two points on the same line? (15,17) and (20,24) are on the same line. Write the equation of the

line.
Mathematics
1 answer:
Reil [10]3 years ago
5 0

Step-by-step explanation:

First, find the slope between the points.

m = (y₂ − y₁) / (x₂ − x₁)

m = (24 − 17) / (20 − 15)

m = 7/5

Next, write the equation in point-slope form, using either of the points.

y − 17 = 7/5 (x − 15)

If desired, simplify.

y − 17 = 7/5 x − 21

y = 7/5 x − 4

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The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the
PIT_PIT [208]

<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:

0.75\times 18=13.5 dollars

Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.

Therefore, the price of the fair admission is: $33.50-$13.50=$20

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=0.75x+20......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

4 0
3 years ago
Which statements are true about the trigonometric ratios of this triangle​
rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

             = \frac{11}{22}

             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

              = \frac{11}{22}

              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

3 0
3 years ago
If RSTU is a rhombus, find the measure of angle RUT.
Schach [20]

<u>Finding x:</u>

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

<u>Finding ∠RUT:</u>

We can see that:

∠RUT = ∠RUS + ∠TUS

<em>Since we are given the values of ∠RUS and ∠TUS:</em>

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

<em>We know that x = 6:</em>

∠RUT = 13(6)-  4

∠RUT = 74°

8 0
3 years ago
Need help just with number 2 please and thank you!!
BaLLatris [955]
I believe the answer is 17
4 0
3 years ago
The value of x is 2 True or false?
Ray Of Light [21]

The answer is x=3, so that is false.

5 0
3 years ago
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