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2 years ago

Indicate in standard form the equation of the line passing through the given points. B(0, 0), C(4, -4)

1 answer:

3 0

First step, find the slope of the line, which is the change in y/change in x m= -4-0/4-0 = -4/4 = -1 m=-1 Now you can use one of the coordinates and the slope to set up a linear equation in point-slope form y-(-4)= -1(x-4) Distribute y+4= -1x+4 Get y by itself by subtracting 4 from each side y= -1x+0 Now the equation is in slope-intercept form, just one more step to get it into standard form. Move the x value to the side with y by adding 1x to each side. x+y=0

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Y=4mx-7b solve for x

muminat

Your answer is x = 7b/4m + y/4m

8 0

3 years ago

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take

Allisa [31]

Answer:

1/30 of a ton

Step-by-step explanation:

Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

4/5 of a ton were remove from the site.

Amount of a ton at the site = $\frac{1}{3}+ \frac{1}{2}- \frac{4}{5}$

Solve the equation by finding common denominators (when the bottom numbers are the same).

$(\frac{1}{3}+ \frac{1}{2})- \frac{4}{5}$ Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.

For 1/3 to become ?/6, multiply top and bottom by 2.

For 1/2 to become ?/6, multiply top and bottom by 3.

$(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}$

Now we can add the numerators together over the same denominator.

$\frac{5}{6}- \frac{4}{5}$

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For 5/6 to become ?/30, multiply top and bottom by 5.

For 4/5 to become ?/30, multiply top and bottom by 6.

$\frac{25}{30}- \frac{24}{30}$

Subtract the numerators:

$\frac{1}{30}$ Answer in tons

Therefore there was 1/30 of a ton of rock left at the construction site.

7 0

3 years ago

Read 2 more answers

Solve the following system of equations. Show all work and solutions.

Hitman42 [59]

y=2x²+6x+1
y=-4x²+1

Make the equations equal and solve for x

2x²+6x+1=-4x²+1
6x²+6x=0
6x(x+1)=0
6x=0 or x+1=0
x=0 or x=-1

For x=0

y=-4(0)+1=1

For x=-1

y=-4(1)+1=-3

The solutions are

(0,1) and (-1,-3)

Graph attached

4 0

1 year ago

(x-5)2/5=4 Solve the equation.

Naddika [18.5K]

Answer: x=15

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A toy company produces 1,000 toys per

lidiya [134]

C option is correct. Because out of 10 toys 1 is defective. So 10 will be defective out of 100 and 100 will be defective out if 1000 i.e the monthly production.

8 0

3 years ago