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2 years ago

What is y=2x+4 and y=-7x+-3

Mathematics

2 answers:

kozerog [31]2 years ago

6 0

Answer:

They are a system of equations?

Step-by-step explanation:

Not sure if this is what you are asking

Paladinen [302]2 years ago

6 0

What are you trying to find the x and y ?

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9y=-3x+5 how do I find the slope for this?

LekaFEV [45]

Answer:

The slope is -1/3 and the y intercept is 5/9

Step-by-step explanation:

To find the slope, we need to put the equation in the form y= mx+b

9y=-3x+5

We will divide by 9 to isolate y

9y/9=-3x/9+5/9

y = -1/3 x + 5/9

The slope is -1/3 and the y intercept is 5/9

4 0

3 years ago

A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a

miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, $\frac{dr}{dt}=5\ cm/min$

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

Volume of balloon is given as:

$V=\frac{4}{3}\pi r^3$

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

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

$\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})$

Now, plug in 19 cm for 'r', 5 cm per minute for $\frac{dr}{dt}$ and solve for $\frac{dV}{dt}$ . This gives,

$\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min$

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

4 0

3 years ago

An athletic field is a 42 yd-by-84 yd rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr

goldfiish [28.3K]

The solution is in the attachment

6 0

3 years ago

Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.

kaheart [24]

Answer:

-0.663

Step-by-step explanation:

-38/180 × pi = -0.6632251158

3 0

3 years ago

Read 2 more answers

27% of the students in a school are in grade 6. This is 540 students. How many students are in the school?

Anettt [7]

There are a total of 2,000 students in the school.

1.) There are 540 students in the 6th grade. 540 is only 27% of students compared to the total. To find the total students in the whole school, we divide 540 by 27%.

2.) We first change 27% into a decimal by moving the point two times to the left. (Rule to change the percent into a decimal)

27% = .27

3.) Before we divide, we remove the decimal by moving the decimal two times to the right and so do we to 540.

.27 = 27

540. = 54000.

4.) Now we have 54000 divided by 27 which give us the answer of 2,000.

Hope this Helps!!!

Please Mark as Brainliest!!!

6 0

3 years ago