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lubasha [3.4K]
3 years ago
11

Which equation describes the line whose x-intercept is (4,0) and whose y-intercept is (0,-3)?

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

y =  \frac{3}{4}x - 3

Step-by-step explanation:

In slope intercept form y = mx + b

We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:

-3 - 0 = -3

0 - 4 = -4

Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.

Now the equation is y = 3/4x -3

y \:  =  \: \frac{3}{4} x \:   - 3

Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described

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A line that has a rise of -34 and a run of 20.
aleksandr82 [10.1K]

Answer:

y=-1.7x-34

Step-by-step explanation:

An equation of a line is given y=mx+c, where m is the gradient or \frac{Rise}{Run}

The rise indicates the change in value of y (vertical change in the graph).

The run indicates the change in value of x (horizontal change in the graph).

Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).

 m =\frac{Rise}{Run} \\  =\frac{-34}{20}\\  =-1.7

Substitute point 1 into the graph to get the constant c.

y=mx+c

-34=(-1.7)*(0)+c

c=-34

∴ The equation of the line is, y=-1.7x-34

7 0
3 years ago
A cuboid has a square base of side x cm. The volume of the cuboid is V cm^3 and the height is h cm.
Lemur [1.5K]
You will need the formula for finding the volume of a rectangular prism (cuboid).
V = l x w x h

1. V = x^2 x h

2. To solve for x, you will substitute in the information you know.

150 = x^2 x 24
Divide both sides by 24 to get

6.25= x^2
The square root of 6.25 is 2.5.

x = 2.5 cm
7 0
3 years ago
Factor the trinomial below x2+14x+48
Triss [41]

Answer:

(x+8)(x+6)

Step-by-step explanation:

14=6+8

48=6*8

x^2+6x+8x+48

x(x+6)+8(x+6)

(x+8)(x+6)

7 0
3 years ago
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Solve for d.<br> 85 = 5(d − 68)
Talja [164]

Answer:

Step-by-step explanation:

5(d - 68) = 85

Use distributive property

5*d - 68*5 = 85

5d - 340 = 85

Add 340to both sides

5d = 85 + 340

5d = 425

Divide both side by 5

d = 425/5

d = 85

6 0
3 years ago
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Pls answer *cries hard*
OverLord2011 [107]

2 units.

Since a triangle is basically a rectangle split in half, we just use the dimensions of the triangle without dividing by 2.

8 0
3 years ago
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