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tensa zangetsu [6.8K]
3 years ago
5

The variables x and y vary directly. Use the values to find the constant of proportionality, k . Then write an equation that rel

ates x and y . Write any fractions in simplest form.

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

k = 9/8

y = 9/8x

Step-by-step explanation:

45/40 = 9/8

To check:

40 * 9/8 = 45

Hope this helps!

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What is the area of a rectangle with vertices at (2,3), (7,3), (7,10), and (2,<br> 10)?
8090 [49]

Answer:

45 units.

Step-by-step explanation:

First, let's find the length!

We need to ignore x and focus on y. Subtract 3 from 10, your answer should be 7. Therefore, the length is 7 units.

Now, let's find the width!

We need to ignore y and now focus on x. Subtract 2 from 7, your answer should be 5. Therefore, the length is 5 units.

The formula of the area of a rectangle is: <em>l * w</em>

Therefore: 7 * 5 = 45 units

REMEMBER: When dealing with rectangles on a graph, x is the width while y is the length!

Next time, I suggest you use some graph paper and jot down all the vertices! Hope this helps. Please mark as brainliest and have a great day!

7 0
3 years ago
Read 2 more answers
Need help with math homework
Pavel [41]

Hello!

The answer for A is:

X1=-1\\X2=5

The answer for B is: The rocket will hit the lake surface in 5 seconds.

<h2>Why?</h2>

Defining the terms:

a=-16\\b=64\\c=80\\

So, replacing it in the quadratic equation (it's given to you in the exercise)\\

x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

x=\frac{-64+-\sqrt{64^{2}-4*-16*80 } }{2*-16}

x=\frac{-64+-\sqrt{64^{2}+5120} }{-32}=\frac{-64+-\sqrt{4096+5120} }{-32}\\x=\frac{-64+-\sqrt{9216} }{-32}=\frac{-64+-\ 96 }{-32}\\x=\frac{-64+-\ 96 }{-32}\\x1=\frac{-64+\ 96 }{-32}=\frac{32}{-32} =-1\\\\x1=\frac{-64-\ 96 }{-32}=\frac{-160}{-32} =5\\

We are working with a quadratic equation, so we will have two possible results,

X1=-1\\X2=5\\

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.

Have a nice day!

5 0
4 years ago
Please help me I need this done I need someone who will SHOW WORK and complete all the questions for 15 points please help me if
Jet001 [13]

Answer:

1.1995

2.114.4

3.270

Step-by-step explanation:

1. Multiply the length and width

2. Multiply 14.3*8

3. Multiply 15*36 and divide the product by 2

to find the area of a rectangle, multiplty length times width

for the area of a triangle, multiply the bottom of the triangle by the height and divide it by 2.

5 0
4 years ago
Read 2 more answers
Jeremiah makes a recipe that calls for 1 and 1/2 cups of flour and 3/4 stick of butter if Jeremiah uses 3 sticks of butter how m
levacccp [35]
We know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour

the answer is
6 cups of flour

8 0
3 years ago
Please help! Due tomorrow!!!
Elodia [21]

Answer:

y=7.5x+6.2

Step-by-step explanation:

Hopefully this is the answer

5 0
3 years ago
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