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2 years ago

What is the slope of the line? y + 1 = 3(2x - 4)

Mathematics

1 answer:

Alexeev081 [22]2 years ago

6 0

Answer: 6

Step-by-step explanation:

Let's start by getting the equation to slope intercept form

First simplify

$y + 1 = 3(2x - 4)\\\\y+1=6x-12$

Then get y by itself

$y+1-1=6x-12-1\\y=6x-13$

In slope intercept form y=mx+b, m is the slope

In this case the slope is 6

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PLZZZZ HELP GIVE ALL POINTS I HAVE

Amanda [17]

Answer:

1/4

Step-by-step explanation:

3 0

3 years ago

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

A rectangular room measures 224 square feet. One side of the room is 14 feet long. What is the perimeter of the room?

rusak2 [61]

Answer: The perimeter is 60 feet

Step-by-step explanation:

224/14=16

16+14+16+14=60 feet

The perimeter is 60 feet

3 0

3 years ago

Convert the unit of rate to the unit stated in the brackets

kumpel [21]

Answer:

6/31

Step-by-step explanation:

7 0

3 years ago

Weights of different sandwiches in two lengths are shown in the table.

Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich $\frac{1}{4}$ $\frac{3}{4}$

Chicken salad sandwich $\frac{3}{4}$ $1\frac{3}{4}$

Egg salad sandwich $\frac{2}{3}$ $1\frac{1}{3}$

For cheese sandwich proportion

$\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16$

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

$\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}$

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

$\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9$

So, egg salad sandwich is proportional to its length

6 0

3 years ago