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algol13
3 years ago
12

Calvin's plane is flying at a speed of 600 miles per hour. If y represents the distance the plane has traveled and z represents

the time it has spent traveling, which of the following equations shows the relationship between y and z?
A: y = 600 + z
B: z = 600 + y
C: z = 600y
D: y = 600z
Mathematics
2 answers:
Sophie [7]3 years ago
8 0
Distance = speed * time
Klio2033 [76]3 years ago
6 0
I think it would be D but i am not for sure

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Select whether each equation has no solution, one solution, or infinitely many solutions.
xxTIMURxx [149]

Answer:

Step-by-step explanation:

A)  5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides.  This result is never true, so NO SOLUTION

B)3x−9=3(x−3)   Performing the indicated multiplication, we get

3x - 9 = 3x - 9.  This is always true, so there are INFINITELY MANY SOLUTIONS

C)2x−6=−2(x−3)   Performing the indicated multiplication, we get

2x - 6 = -2x + 6.  Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12.  Thus, the solution is x = 3.  ONE SOLUTION

D)2x+6−5x=−3(x             This equation is incomplete

3 0
3 years ago
Read 2 more answers
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
3 years ago
Gareth buys two oranges. He pays with a £1 coin and gets 52p change. Work out the cost of one orange.
zalisa [80]

Answer:

24p

Step-by-step explanation:

£1 - £0.52 = £0.48 ← cost of 2 oranges

cost of 1 orange = £0.48 ÷ 2 = £0.24

3 0
2 years ago
Please help!
Sholpan [36]
The first one is correct because the angle on the opposite side is the same, and the second one is correct too because it's the same points.  So you can pick either or.
6 0
3 years ago
Read 2 more answers
If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), w
Yuliya22 [10]

The value of a is 80

Step-by-step explanation:

The distance of a point (x_0,y_0) from the y-axis can be written as

d_y = |x_0|

because the x-coordinate of the y-axis is zero.

Similarly, the distance of a point (x_0,y_0) from the x-axis can be written as

d_x=|y_0|

Since the y-coordinate of the x-axis is zero.

In this problem:

- The distance of the point A (−30, −45) from the y-axis can be written as

d_A = |-30|=30

- The distance of point B (a,a) from the x-axis can be written as

d_B = |a| = a

Since a>0.

We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

\frac{2}{3}d_A = \frac{1}{4}d_B

Therefore,

\frac{2}{3}(30)=\frac{1}{4}a

And solving for a,

20=\frac{1}{4}a\\a=80

Learn more about distance:

brainly.com/question/3969582

#LearnwithBrainly

8 0
3 years ago
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