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3 years ago

What is the value of r in this equation? 4(x-3)-r+2x=5(3x-7)-9x

Mathematics

1 answer:

Tomtit [17]3 years ago

5 0

4(x-3)-2+2x=5(3x-7)-9x

4x-12-r+2x=5(3x-7)-9

4x-12-r+2x=15x-35-9x

6x-12-r=15x-35-9x

6x-12-r=6x-35

add 12 to -35 which equals -23.

add 6x+6x it cancels out to 0.

-r=-23

to make r positive just add it -23

since 23 is already negative it would become a positive because a negative + negative= positive

answer: r=23

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Two trains on opposite tracks leave the same station at the same

nikdorinn [45]

Answer:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:

One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

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3 years ago

A line passes through the point (-2, 3) and has a slope of -2. What is the equation of the line?

Mrrafil [7]

Answer:

y = -2x -1

Step-by-step explanation:

slope intercept form is y = mx +b

m = slope, b = y intercept

point is given as ordered pair (x,y)

plug in slope into y=......

y= -2x+b

plug in the point

3 = -2 * (-2) + b

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3 years ago

Which input value produces the same output value for the two functions on the graph?

DiKsa [7]

Answer:

The input value is 3/4

Step-by-step explanation:

we know that

The input value that produces the same output value for the two linear functions, is the intersection point both graphs

we have

$f(x)=-3x+1$ ---> equation A

$g(x)=x-2$ ---> equation B

Equate equation A and equation B

$x-2=-3x+1$

solve for x

$3x+x=1+2$

$4x=3$

$x=\frac{3}{4}$

therefore

The input value is 3/4

5 0

3 years ago

A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from

Len [333]

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet

According to trigonometry rule make 30 degree angle

$tan\left ( 30\ \right )^{o}=\frac{p}{b}$

$\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )$

$x\sqrt{3}=22$

than

$x=\frac{22}{\sqrt{3}}$

$=12feet$ $8 inch$ answer

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3 years ago

The figures are similar. Find x. The ratio of the perimeters is 7 : 10 how do I find x

Elena L [17]

7/10 = x/12 which mean you need to multiply each side by 12 to find x. So the answer would be X= 8.4

8 0

3 years ago