How can you solve an equation with the variable on both sides?

1 answer:

7 0

You should move the variable to the same side!

best by addition/substraction:

for example:

2x+5=3x

I will "move" the 3x:

2x+5-3x=0

now you can add up the variables: -x+5=0 (x=5)

essentially you can move it to the other side, changing the sign: + to -, - to +

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What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.

saw5 [17]

Answer:

y = -4/5x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation in slope-intercept form

5y = -35 - 4x

y = -7 - 4/5x

Step 2: Write parallel line equation

y = -4/5x + 5

A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.

3 0

2 years ago

A circle has a circumference of 33 inches. What is<br> the area of the circle?

UkoKoshka [18]

Answer: Circle

Solve for area

A≈86.66in²

C Circumference

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=332

4·π≈86.65987in²

Step-by-step explanation:

6 0

1 year ago

If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.

alukav5142 [94]

Answer: The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = $\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m$

As we know that surface area of a cone is given by

$S.A. = \pi r(l+r)$

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

$190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6$