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3 years ago

What us the y-intercept of the equation 4x + 5y =20

2 answers:

8 0

We know that when a line intercepts the y axis, x is 0. So substitute x as 0, which makes the equation 5y = 20 and divide both sides by 5, so y = 4 which is the y intercept.

MAXImum [283]3 years ago

3 0

Write equation in slope-intercept format, y = mx + b, where b is the y-intercept.

4x + 5y = 20

5y = -4x + 20

y = -4/5 x + 20/5

y = -4/5 x + 4

y = mx + b

y = -4/5 x + 4

b = 4

Answer: y-intercept = (0, 4)

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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. xy , 3−2 , −1−4 , 5−

Julli [10]

Answer:

(1,-8)

Step-by-step explanation:

We were given three vertices of a parallelogram to be:

(3,-2), (-1,-4), (5,-6).

After plotting the points as shown in the attachment, we realize (3,-2) and (-1,-4) form a diagonal.

The midpoint of this diagonal using the midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

is $(\frac{-1+5}{2},\frac{-4+-6}{2})=(2,-5)$

Recall that, the midpoint of both diagonals are the same.

Let the fourth point have coordinates (x,y).

Then using the midpoint formula again with (3,-2), we have:

$(\frac{3+x}{2},\frac{y+-2}{2})=(2,-5)$

This implies that:

$x+3=4$ and $y-2=-10$

$x=4-3$ and $y=-10+2$

x=1 and y=-8

The coordinates of the fourth point are:

(1,-8)

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2 years ago

Evaluate the expression: x +y + z (if x =33, y = -28, and z =40)

Mrac [35]

Answer is 45 (33-28+40=45)

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2 years ago

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Sholpan [36]

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timurjin [86]

24+12x is the answer

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sweet-ann [11.9K]

Answer:

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Step-by-step explanation:

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