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3 years ago

What is the x-intercept of the equation 3x - 2y = -12

1 answer:

muminat3 years ago

4 0

X=2/3y-4

EXPLANATION
3x-2y=-12
You take -2y to the other side
It becomes 3x=2y-12
Then you divide 3
X=2/3y
-12/3=-4
X=2/3y-4

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Write an equation in point slope form of the line that passes through the given point and has the given slope (7,-6);m=1/2

AveGali [126]

The equation of line is:

$y = \frac{1}{2}x-\frac{19}{2}$

Further explanation:

The general form of point-slope equation is:

$y = mx+b$

It is given that m = 1/2

Putting in the value of m

$y = \frac{1}{2}x+b$

We have to find the value of b so putting the value of x and y

(x,y) = (7,-6)

$-6 = \frac{1}{2}(7)+b\\-6 = \frac{7}{2} +b\\b = -6-\frac{7}{2}\\b = \frac{-12-7}{2}\\b = \frac{-19}{2}$

Putting the values of b and m in general form

$y = \frac{1}{2}x-\frac{19}{2}$

Keywords: Equation of line, point-slope form

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6 0

3 years ago

You want to give your friend a soccer ball for a gift. The soccer ball has a

Ede4ka [16]

Answer:

volume of cube share box = 67.92 inch²

Step-by-step explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume = $\frac{4}{3}\times \pi \times r^3$ .................1

85.3π = $\frac{4}{3}\times \pi \times r^3$

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²

6 0

3 years ago

F(-4); f(x) = x2 + x - 4

Ugo [173]

Answer: 8

Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

4 0

3 years ago

MATH HELP PLEASE HELP

sdas [7]

Answer:

75 cm

Step-by-step explanation:

150÷2 = 75

Good luck with your exam :)

5 0

3 years ago

Read 2 more answers

A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i

emmainna [20.7K]

Answer:

Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

Length of straightway racetrack = 100 m

Diameter of semicircular end = 40 m

Radius =

$r = \dfrac{d}{2} = \dfrac{40}{2} = 20\text{ m}$

Perimeter of racetrack =

Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

$=\pi r + 2(100) + \pi r\\=2\pi r + 2(200)\\=(2\times 3.14\times 20) + 200\\=325.6\text{ m}$

Speed =

$s = \dfrac{\text{Distance}}{\text{Time}}\\\\s = \dfrac{4\times \text{Perimeter of track}}{6}\\\\s = \dfrac{4\times 325.6}{6}\\\\s = 217.06\text{ meter per minute}$

Thus, average speed of go cart is 217.07 meters per minute.

4 0

3 years ago

What is the x-intercept of the equation 3x - 2y = -12 ​

What is the x-intercept of the equation 3x - 2y = -12