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3 years ago

What is the slope of (-9, 8) and (3,- 12)

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

-5/3. Uuhhhhhhhjjjuuuuu

earnstyle [38]3 years ago

3 0

Answer:

Your slope would be -5/3

Step-by-step explanation:

To find the slope from two points, you would use the formula y2-y1/x2-x1

In this case, the equation would look like -12-8/3-(-9)

-12 - 8 = -20

3 - (-9) = 12

-20/12 = -5/3

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Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit

valkas [14]

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

She then finds a better deal at another gym so she cancels her membership with the first gym after x months
She spends the rest of the year, y months, with the second gym
The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
She ended up spending a total of $780 over the course of the year

We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

4 0

3 years ago

The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.

Evgen [1.6K]

Answer: List of the angles from smallest to largest are C, B and A

Step-by-step explanation:

The diagram of triangle ABC is shown in the attached photo. Since none of the sides are equal, then it is a scalene triangle.

From the information given,

AB = m – 2

BC = m + 4

AC = m

It means that the longest side is BC, the medium side is AC and the shortest side is AB. Therefore,

The smallest angle is angle C.

The medium angle is angle B.

The largest angle is angle A

8 0

3 years ago

Read 2 more answers

If you were to solve the following system by substitution, what would be the best variable to folve for and from what equation?

weeeeeb [17]

Answer:

Step-by-step explanation:

It's easiest to divide everything by 3.

3 0

3 years ago

Read 2 more answers

Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.

frosja888 [35]

Answer:

See below

Step-by-step explanation:

<u>Use the slope-intercept form, which will be in this case:</u>

g(u) = mu + b, where m is the slope, b is the y- intercept

<u>Find the slope:</u>

$m=(y_2-y_1)/(x_2-x_1)$
$m=(-8-5)/(-5-20)=(-13)/(-25)=13/25$

<u>Find the value of the y-intercept:</u>

$5=1/25*20+b$
$b=5-4/5=21/5$

<u>The equation is:</u>

$g(u)=\frac{13}{25} u+\frac{21}{5}$

3 0

3 years ago

Murrr4er [49]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As they are similar triangles, there will be a scale factor between them. You may be given one pair of values on the triangle. Divide the larger value by the smaller value in order to find the scale factor between the triangles. For example, if the larger triangle has a length of 6cm and the smaller triangle has a length of 3cm, the scale factor would be 2. You would then multiply the given side by the scale factor to get the length.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

<u></u>

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago