Solve each system of equation by grapthing y= -2x-4 y=1/2x+1

1 answer:

5 0

The solution point where the two lines intersect is (-2,0).

For online graphing, I like to use Desmos Online Graphing Calculator. It is a very useful tool. Hope my answer helps!

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The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th

anygoal [31]

Hey there!

The formula for the volume of a cone is $V=\pi r^{2} \frac{h}{3}$ .

In this cone, we have the given information:

Its diameter is 4 inches
Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

$4 \div 2 = 2$

So, the radius is 2.

Let 3.14 be $\pi$ .

Plug in each value into the equation. $V = 3.14 \times 2^{2} \times \frac{6}{3}$

Simplify the exponent and fraction.

$V = 3.14 \times 4 \times 2$

Multiply the three numbers together.

$V = 25.12$

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is $in^{3}$ .

So, your <u>final answer</u> is $25.1 in^{3}$ !

Hope this helps!

8 0

3 years ago

How to simplify 3sin^2x + 3(1-sin^2x)

EleoNora [17]

$\bf \textit{Pythagorean Identities}\\\\sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\[-0.35em]\rule{34em}{0.25pt}\\\\3sin^2(x)+3[1-sin^2(x)]\implies 3sin^2(x)+3cos^2(x)\\\\\\\stackrel{\textit{common factor}}{3[sin^2(x)+cos^2(x)]}\implies 3(1)\implies 3$