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mamaluj [8]
4 years ago
14

The answer to this problem

Mathematics
1 answer:
Olenka [21]4 years ago
5 0

Answer:

5

Step-by-step explanation:

I drew it out on a piece of paper. R is going up and down, through PQ, which is going left to right. If the ratio is 1:3, that means that for every 1 unit there is on one side, there are 3 units in the other. If R is -1 and P is -3, they are two numbers away from each other, which means that on the other side of R (to the right of R), there needs to be 6 numbers in between to make the 1:3 ratio. R is at -1, so then you would write the equation, -1+6=? The answer is 5.

-1+6=5 That is where Q would be

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A golf player is trying to make a hole-in-one on the miniature golf green shown.
Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

The given parameters are:

(h,k) = (4.8,6.4) --- the vertex (i.e. the point where the ball hits the wall)

(x_1,y_1) = (2,1.6)

(x_2,y_2) = (7.6,1.6)

An absolute function is represented as:

y = a |x - h| + k

Substitute (h,k) = (4.8,6.4)

y = a |x - 4.8| + 6.4

Substitute (x_1,y_1) = (2,1.6) for x and y

1.6 = a|2 - 4.8| + 6.4

1.6 = a|- 2.8| + 6.4

Remove absolute bracket

1.6 = 2.8a + 6.4

Collect like terms

2.8a = -6.4+1.6

2.8a =- 4.8

Solve for a

a =-\frac{4.8}{2.8}

Simplify

a =-\frac{12}{7}

Substitute a =-\frac{12}{7} in y = a |x - 4.8| + 6.4

y =- \frac{12}7|x- 4.8| + 6.4

Hence, the equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0
2 years ago
Ethan invests £500 in the bank for 2 years he earned £40 simple interest
Natalka [10]

Answer:

Rate = 4%

Step-by-step explanation:

principal = £500

time = 2 years

simple interest = £40

rate = ?

simple interest = PTR / 100

£40 = £500*2*R /100

£40*100 = £1000*R

£4000/£1000 = R

4 % = R

7 0
3 years ago
Twenty-four students took a test. Fourteen students earned an A and 8 students earned a B. A student will be randomly chosen.
vladimir1956 [14]
14/22

14+8=22

14--students with A
3 0
3 years ago
Cho hình thang vuông ABCD, có góc A=góc D=90 độ. AD=77cm, AB=91cm, DC=127cm. Tính góc C và cạnh BC
Y_Kistochka [10]

Answer:

put in eng then I can help u

4 0
3 years ago
What is the y-intercept of the graph of the function f(x) = x^2+3x+5
Amanda [17]

Answer:

5

Step-by-step explanation:

Plug x in as 0.

f(x)=0+0+5

f(x)=5

6 0
3 years ago
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