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2 years ago

Evaluate the expression x2 + y2 if x = -3 and y= -2

Mathematics

1 answer:

Ilya [14]2 years ago

5 0

Answer:

<h2>The answer is 13</h2>

Step-by-step explanation:

x² + y²

x = - 3 , y = - 2

Substitute the values of x and y into the above expression and solve

That's

( - 3)² + (-2)²

= 9 + 4

We have the final answer as

Hope this helps you

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Find the slope that passes through (2,-4) and (5,2)

yanalaym [24]

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-(-4)}{5-2}=\frac{6}{3}=2$

<u><em>Therefore, the slope is 2.</em></u>

<u><em>Final answer is 2.</em></u>

<u><em>*The answer must have a positive sign.*</em></u>

I hope this helps you!

Have a nice day! :)

-Charlie

Thank you! :)

7 0

3 years ago

Monica sells lemonade over the summer and uses conical paper cups to serve

Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0

3 years ago

What is the next term in the sequence?

-Dominant- [34]

Answer: 51

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Is (2, 2) a solution of y < 4x - 6?<br> Choose 1 answer<br> yes or no

zalisa [80]

No, (2,2) is not solution of y < 4x - 6

Step-by-step explanation:

To solve above linear problem, we use standard method of Back- Substitution.

First of all, A point (2,2) only becomes solution of equation, if it satisfies equation $y < 4x - 6$ .

Here, the $y < 4x - 6$ seems to be like a linear equation.

In this Equation, using Back- Substitution method,

Point (2,2) : first digit 2 corresponds to x- coordinate and second digit 2 corresponds to y-coordinate.

$y < 4x - 6.....(1) \\\ x= 2 .....(2) \\\ y= 2 .....(3)$

By putting value of x and y in equation (1),

Equation becomes,

$2 < 4 \times 2 - 6$

$2 < 8 - 6$

$2 < 2$ .... not true mathematically.

Finally, the result came is not true. Therefore, (2,2) is not solution for equation

$y < 4x - 6$

4 0

3 years ago

Butoxors [25]

Answer:

Step-by-step explanation:

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8 0

2 years ago