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3 years ago

Solve the system of equations below by graphing both equations. what is the solution.

Mathematics

1 answer:

NARA [144]3 years ago

4 0

(-2,3) is where they intersect

Hope that helped

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If 10 men can complete a piece of work in 30 days how many men are requiredto complete the same job in 25 days?

77julia77 [94]

We must assume that all workmen work at the same rate, and keep it up forever.

More men ==> fewer days

so the proportion is: 30/25 = x/10

Cross-multiply the proportion:

300 = 25 x

Divide each side by 25 :

x = 300/25 = <u>12 men</u>

3 0

3 years ago

i need help!!! write an equation in point-slope form of the line through point j(4, –4) with slope 4. a. y 4=4(x 4) b. y 4=4(x-4

Sergeeva-Olga [200]

Required equation is y - y1 = m(x - x1); where m = 4 and (x1, y1) = (4, -4)
y - (-4) = 4(x - 4)
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7 0

3 years ago

Read 2 more answers

Which line represents the linear equation

zzz [600]

Answer:

Pat a) The graph in the attached figure

Part b) $y=(4/3)x-5$

The slope is $m=(4/3)$

The y-coordinate of the y-intercept is $b=-5$

Step-by-step explanation:

Part a) Which line represents the linear equation $-3y=15-4x$ ?

To graph the linear equation find the intercepts

we know that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$-3y=15-4(0)$

$-3y=15$

$y=-5$

The y-intercept is the point $(0,-5)$

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$-3(0)=15-4x$

$4x=15$

$x=15/4=3.75$

The x-intercept is the point $(3.75,0)$

Plot the intercepts to graph the linear equation

see the attached figure

Part b) Rewritten in slope-intercept form

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$-3y=15-4x$

convert to slope intercept form

isolate the variable y

$3y=4x-15$

$y=(4/3)x-5$

The slope is $m=(4/3)$

The y-coordinate of the y-intercept is $b=-5$

4 0

3 years ago

Read 2 more answers

What steps would you use to find the y-intercept of a line if given the information that the line has a slope of 4 and passes th

FromTheMoon [43]

Plot it on a grid and it’s eased to see

6 0

3 years ago

Is the value of sine positive, negative, or zero at 3π/2?

Gnom [1K]

Answer:

<h2>Negative.</h2>

Step-by-step explanation:

The given function is

$sin(\frac{3 \pi}{2} )$

Where $\pi = 180 \°$ , so the angle is $\frac{3(180)}{2}=270$

This angle is at between the third and fourth quadrant, the angle has its endside at y-axis, specifically, at its negative side, where the sin function is -1, because it's in the negative part of y-axis.

Therefore, the right answer is negative.

7 0

3 years ago