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Gelneren [198K]
3 years ago
8

Write an equation for a line that passes through (-1,4) and is parallel to 2y + 10x=-36

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0
Hi there Brook!

First, you need to find the slope of this linear line, because if two lines are parallel they have the same exact slope.

2y + 10x = -36  <-- Subtract 10x on both sides
2y = -10x - 36   <-- Divide everything by 2
y = -5x - 18  <-- Your re-organized linear equation, with the slope of -5.

Now that you know the slope is -5, but not the y-intercept since the line is different, look at the coordinate you have.  Since you know that an input of -1 makes an output of 4, you can create an equation:

4 = -5(-1) + b  <-- Four equals the slope times the input, plus the y-intercept
4 = 5 + b
b = -1, since 5 + (-1) = 4.

So, now your final equation is y = -5x -1
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so we will find the area of triangles and rectangles then add them

Triangle Area=1/2*x/2*2=x/2

multiply by 2 as we have two triangles=2*x/2=x
Area of a rectangle=x*2=2x
Add them=x+2x=14(given area of trepaziod
3x=14

hope i am correct

6 0
3 years ago
Please help! need help with geometry work.
lakkis [162]

Answer:

1) Is 90° because that's what the little square in the corner means.

2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.

3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.

4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.

5) Is also 90° because the angle across from it (1) looks to be around the same size.

I solved for each in the following order:

1, 5, 4, 3, 2.

I hope this helps. Also please let me know if I got something wrong or if you still need help :)

3 0
3 years ago
John Doe estimates that the price elasticity of demand for new SUVs to be 0.75. If the price of SUVs rose by 15%; would the quan
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If the coefficient of demand for the SUV is 0.75 this means that it has a relatively inelastic demand since it is less than. In other words, there is only a little alteration in demand when prices change.
So when the price of SUV rise by 15%, and it has a coefficient of 0.75, we can anticipate only 11.25% decrease in its demand. This is for the reason that the SUVs do not have many substitutes for it.
So to solve:
(x/15%) = 0.75
Then simply solve for x:
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4 0
3 years ago
Write an inequality that would include (1,2) in the solution, but not (-3,8).
tester [92]
'Of' in math means 'multiplied by,' so the equation that we can set up is:

So your answer is 320.
8 0
3 years ago
A bicycle tire is 28 inches in diameter.Approximately how far does the bicycle move forward each time the wheel goes around?(use
Debora [2.8K]

Answer:

88 Inches

Step-by-step explanation:

For any bicycle tire of a given diameter, the approximate distance moved by the bicycle each time the wheel goes around is determined by the circumference of the circular wheel.

Since the diameter =28 Inches

Circumference =\pi d =\frac{22}{7}X28 =88$ Inches

The bicycle moves 88 Inches forward each time the wheel goes around.

4 0
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