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Lady_Fox [76]
3 years ago
11

Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

  y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

  y = mx + b . . . . . m is the slope; b is the y-intercept

  y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

  m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

  y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

  y = (7/2)(x -4) -6

  y = (7/2)x -20

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For each shape in the table, list three examples of real-world objects that could be modeled by the shape. Use your experiences,
marishachu [46]
Interesting question. Let's see.

Rectangular Prism: any box (like a shoe box or a  packing box).

Triangular Prism: We're not supposed to give personal answers, but I can't help it with this. When I was growing up, our front door's window had a triangular prism beveled around its edges. What made it so remarkable was that it broke up the light into a rainbow of colors on the floor. 

Cylinder. Many drinking glasses are in the shape of a cylinder. Also old fashioned water towers were cylindrical in shape.

Cone: a kitchen funnel is an upside down cone. Some funnels don't have a spout, so that makes them true cones.

Pyramid: The pyramids for the Pharaohs in Egypt.

Sphere: Any ball (beach ball, baseball basketball soccer. Some storage shapes for spices -- technically not a perfect sphere). Planets. The sun. (The earth is almost a perfect sphere).
5 0
3 years ago
The amount of time it takes to cook a turkey increases with the weight of the turkey. it is recommended that you cook a 10-lb tu
nadezda [96]
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.

Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey

Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Hope this helps :)



3 0
3 years ago
Read 2 more answers
Look at the Schoology problem provided below.
lys-0071 [83]

Answer:

k = 4 units

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

k² + 7.5² = 8.5²

k² + 56.25 = 72.25 ( subtract 56.25 from both sides )

k² = 16 ( take the square root of both sides )

k = \sqrt{16} = 4

6 0
3 years ago
Read 2 more answers
Line HJ bisects BC at point H<br> BH = 5x - 1<br> and HC =4x + 3<br> Frd the length of BC
Levart [38]

Answer:

Step-by-step explanation:

5x - 1 = 4x + 3

x - 1 = 3

x = 4

5(4) - 1 + 4(4) + 3

20 - 1 + 16 + 3

19 + 16 + 3 = 35 + 3 = 38

8 0
3 years ago
Based on the theoretical probability, how many times would you expect to pick a yellow skittle if you pick 150 times?
Fudgin [204]

Answer:

why are you digging through skittles 150 times?

8 0
3 years ago
Read 2 more answers
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