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MariettaO [177]
3 years ago
9

What is y in this equation 4x-3y=-2

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0
4x-3y=-2. (+3y both sides)
4x=-2+3y. (Add 2 both sides)
3y=4x+2. (Now divide everything by 3)
y=4/3x +2/3
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The US exports 200 billion pounds of coal. How many tons does the US export?
Ira Lisetskai [31]
200 billion is 200,000,000,000 lbs
1 ton is 2,000 lbs.
So 200,000,000,000/2,000 = 100,000,000 tons or 100 million tons.
6 0
3 years ago
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Graph the line with slope -1/3 passing through the point (4,-2)
damaskus [11]
Y = mx + b
slope(m) = -1/3
(4,-2)...x = 4 and y = -2
sub and find b, the y int
-2 = -1/3(4) + b
-2 = -4/3 + b
-2 + 4/3 = b
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so ur equation is : y = -1/3x - 2/3....or x + 3y = -2

ur y int is (0,-2/3)....ur x int is (-2,0)...ur slope is -2/3....other points on ur line include (1,-1) , (4,-2) , (7,-3), (10,-4), (-5,1), (-8,2)...plot these points...u should be able to see ur line from this
8 0
3 years ago
Pleasee help me find the slope ​
BlackZzzverrR [31]

Answer:

The slope is m=1/2

Step-by-step explanation:

hope this helps you.

7 0
3 years ago
Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P
scoray [572]

Answer:

18\sqrt{10}$ units

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}

To minimize D, we find its derivative

\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units

8 0
4 years ago
The diagram shows a triangle on top of a rectangle. The combined area of the triangle and rectangle is 108 ft2
podryga [215]

Answer:

6 ft

Step-by-step explanation:

A=1/2bh. To find the area of the triangle, we subtract the area of the rectangle from the total. Which would be 108 - (12x6) = 36. Now we have the area. So, 36 = 1/2bh. "b", the base is 12. So we solve for h. h = (36x2)/12 or h = 36/6, which both equal 6.

3 0
3 years ago
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