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bagirrra123 [75]
3 years ago
15

Find the value of x and y. Write your answer in simplest radical form. For question 19. And 21.

Mathematics
1 answer:
Inga [223]3 years ago
3 0
19)
6/x = x/12
x^2 = 72
x = √72
x = 6√2

y^2 = 12^2 + (√72)^2
y^2 = 144 + 72
y^2 = 216
y = 6√6

21)
14 - 8 = 6
y/8 = 6/y
y^2 = 48
y = √48
y = 4√3

x^2 = 6^2 +(√48)^2
x^2 = 36 + 48
x^2 = 84
x = √84
x = 2√21

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Jane cycles 27km at 12m/h. How long does she take?
emmainna [20.7K]
Every hour at 12km/h I would go 12km. Simple.

The distance traveled in km is equal to 12 times how many hours you go.

If I go 27 km, I can go in reverse and divide by 12 to get 2.25 hours.

A quarter of an hour is 15 minutes, so the answer would be 2 hours and 15 minutes.

6 0
3 years ago
Write your answer in the form y=my+b
CaHeK987 [17]

Answer:

y= -2x+18

Step-by-step explanation:

1. The secant line is a line that passes through 2 points in the function.

2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.

3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.

4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.

5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!

6 0
4 years ago
What is the range of the function f(x)=-2|x+1|?
schepotkina [342]

Answer:

The correct answer to given question is option (a).

Step-by-step explanation:

Given function: f(x)= -2|x+1|

we need to put random values of x in given function to see that range of the given function f(x) is all real numbers.

when:

x=0;    f(0)= -2|0+1|= -2|1|= -2

when x is positive i.e. x>0

x=1;     f(1)= -2|1+1|= -2|2|= -4            

x=2;    f(2)= -2|2+2|= -2|4|= -8

when x is negative i.e.  x<0

x= -1;   f(-1)= -2|-1+1|= -2|0| =0

x=-2;   f(-2)= -2|-2+1|= -2|-1|=2 (with the help of mod property |-1|=1)

hence, we saw that

when we take x>0; f(x)<0

when x<0; f(x)>0

we can conclude from above steps that the range of function f(x)= -2|x+1| is all real numbers.

7 0
4 years ago
Read 2 more answers
I need help on this question
Serggg [28]
A = 18
You need to
Multiply both sides of the equation
- 3/2 x (-2/3) x a = - 3/2 x - 12
Then simplify both sides
a = - 3/2 x 12
Simplify
-3/2 x -12
a = -3 x -6
Multiply -3 by -6
Answer: a = 18
4 0
3 years ago
Identify the variable expression that is not a polynomial
andre [41]
B because of the y to the zero? Anyone wanna back me up?
6 0
4 years ago
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