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kherson [118]
3 years ago
12

A line contains the points (−26, −37) and (−32, −61) .

Mathematics
2 answers:
laila [671]3 years ago
7 0

Answer:

4

Step-by-step explanation:

To find the slope you must use the slope formula.

it is y2-y1/x2-x1. with the points (-26,-37) and (-32,-61)

you do -61 minus -37 divided by -32 minus -26. first do -61 minus -37 = -24. then do -32 minus -26 = -6. And -24 divided by -6 = 4. the slope is 4.

Hope this helps. Sorry if its confusing.

slavikrds [6]3 years ago
4 0

Answer:

Slope: 4

Equation: y = 4x + 67

Step-by-step explanation:

  • Line mx+b passes through points \bold{\left(-26,\:-37\right)\mathrm{,\:}\left(-32,\:-61\right)}

Find Slope (m): \bold{\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-26,\:-37\right),\:\left(x_2,\:y_2\right)=\left(-32,\:-61\right)}

\bold{m=\frac{-61-\left(-37\right)}{-32-\left(-26\right)}}

Refine: m = 4

Find y intercept (b): Plug 4 into y=mx+b

y=4x+b

Plug in \bold{\left(-26,\:-37\right)\mathrm{:\:}\quad \:x=-26,\:y=-37}

-37 = 4(-36) + b

Solve for b: b = 67

Equation: y = 4x + 67

m: 4

y: 67

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Step-by-step explanation:

The volume of a square based pyramid = V = a²h/3

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75% of the pot's volume =

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The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to
lutik1710 [3]

Answer:

<u>19.01 pound</u> of cashews and <u>16.99 pounds</u> of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

Step-by-step explanation:

Given:

The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

Let the quantity of cashews be x.

Let the quantity of brazil nuts be y.

So, total pound of mixture of nuts:

x+y=36\\y=36-x\ \ \ .....(1)

Now, the total price of mixture per pound:

7.20(x)+4.00(y)=5.69(36)

7.2x+4y=204.84

Substituting the value of y from equation (1) we get:

7.2x+4(36-x)=204.84

7.2x+144-4x=204.84

3.2x+144=204.84

Subtracting both sides by 144 we get:

3.2x=60.84

Dividing both sides by 3.2 we get:

x=19.01.

The quantity of cashews = 19.01 pound.

Now, substituting the value of x in equation (1) we get:

y=36-x\\y=36-19.01\\y=16.99.

The quantity of brazil nuts = 16.99 pounds.

Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

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