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3 years ago

5

Evaluate the expression 8x2+9y

1 answer:

Sliva [168]3 years ago

8 0

Answer:

34676

Step-by-step explanation:

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I have 10 apples, I give away 2, how many apples do I have left

Volgvan

This would be 10-2 which would equal 8

5 0

4 years ago

Read 2 more answers

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

#SPJ4

7 0

1 year ago

Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hou

k0ka [10]

100*2.2=220
80*2=176
220+176=396

So the two trains will take 2.2 hours so that they are 396 miles apart.

5 0

3 years ago

Evaluate the following expression: (-5)(6) + (-6) ÷ (-3). Remember to show your work

Vinil7 [7]

Answer:

-28

Step-by-step explanation:

(-5)(6) + (-6) ÷ (-3) =

-30 + (-6) ÷ (-3) =

-30 + 2 =

-28

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

7 0

3 years ago

Read 2 more answers

9)<br> 5.6 yd<br> 5 yd<br> 12 yd<br> Find the area. (A = 1/2 ( 61 + b2) h)

krek1111 [17]

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

$Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height$

Therefore, $Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h$

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

8 0

3 years ago