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Bingel [31]
3 years ago
15

A train travels in a straight path at a steady speed of 1.25 miles per minute. At noon, the train is 100 miles from the starting

point. Express the distance D from the starting point as a function of time, x, in minutes after noon.
Mathematics
2 answers:
nikklg [1K]3 years ago
6 0

SOS

Answer:

D. D = 100 + 1.25x

<em>Hope this helps!!</em>


Leto [7]3 years ago
4 0
We'll take 1.25 miles as one minute (x) and take 100 as total distance (D) while T is the time it took to reach that distance.
T = D/x
putting the values in
T = 100/1.25
T = 80
80 minutes is the answer.
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The graph of a linear relation passes through the point (-2,7) and has a slope of 1/6.
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Answer:

Step-by-step explanation:

eq. of any line withslope 1/6 is

y=1/6x+c

∵ it passes through (-2,7)

so 7=1/6(-2)+c

c=7+1/3=22/3

eq. of line is

y=1/6x+22/3

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3 years ago
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Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above th
kherson [118]

Answer: The hook would be 2.2 inches (approximately) above the top of the frame

Step-by-step explanation: Please refer to the picture attached for further details.

The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (longest side) and AB and BC are the other two sides

5^2 = 4.5^2 + BC^2

25 = 20.25 + BC^2

Subtract 20.25 from both sides of the equation

4.75 = BC^2

Add the square root sign to both sides of the equation

2.1794 = BC

Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches

4 0
3 years ago
Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which
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Answer:

  • B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Step-by-step explanation:

<em>Refer to attached.</em>

Plot the point and connect in order FLAG.

<u>We see </u>

  • FL ║ GA
  • GF ║ AL
  • FA and GL are not perpendicular

<u>All the above can be confirmed by calculating the slopes:</u>

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  • m(GA) = (1 + 1)/(-2-3) = -2/5
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  • m(GL) = (3 - 1)/(6 +2) = -1/4
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The quadrilateral is a parallelogram.

Correct choice is B

3 0
3 years ago
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Rob and Matt made 55 cups of lemonade
notka56 [123]

Answer:

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Step-by-step explanation:

55 in total

Rob made 7 more do 55 - 7 = 48

48 / 2 = 24

24 for Matt

24 +7 = 31

31 for rob

5 0
3 years ago
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