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4 years ago

Help how you solve this

Mathematics

1 answer:

Anettt [7]4 years ago

8 0

Just add up how much Luna practiced which is 20+30+20 to get 70 and then add another 30 to get 100. So Elsa practiced for 100 minutes or 1hour 40 minutes.

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Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.

motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0

4 years ago

I need help on this!!

andrew11 [14]

Answer:

Step-by-step explanation:

;)

7 0

3 years ago

A rectangular prism has a width of 16 inches and a length of 10 inches. The volume of the rectangular prism is decreasing at a r

frosja888 [35]

Answer:

-3.47 inches per minute

Step-by-step explanation:

Let the height be 'h' for any time 't'.

Given:

Length of the prism (L) = 10 in

Width of the prism (w) = 16 in

The rate of change of volume of prism is, $\frac{dV}{dt}=-555\ in^3/min$ (The negative sign implies the volume decreases with time.)

Now, rate of change of height of prism = $\frac{dh}{dt}=?$

Length and width remains constant.

Now, we know that, volume of a rectangular prism is given as:

Volume = Length × width × Height

$V=Lwh\\\\V=10\times 16\times h\\\\V=160h$

Now, differentiating both sides with respect to time 't', we get:

$\frac{dV}{dt}=\frac{d}{dt}(160h)$

Plug in the given values and solve for $\frac{dh}{dt}$ . This gives,

$-555=160\times \frac{dh}{dt}\\\\\frac{dh}{dt}=\frac{-555}{160}\\\\\frac{dh}{dt}=-3.47\ in/min$

The negative sign implies the height decreases with time.

Therefore, the the rate of change, in inches per minute, of the height when the height is 3 inches is -3.47 inches per minute.

5 0

3 years ago

From a sample tray, 3 of the last 9 cake samples chosen were chocolate. What is the experimental probability that the next price

dedylja [7]

Answer:

$\frac{3}{9}$

7 0

3 years ago

Read 2 more answers

The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.

wariber [46]

Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

$\frac{230m}{0.75m} \\ = 306 \frac{2}{3} paces$

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

5 0

2 years ago