Ask question

Ask question

All categories

3 years ago

7

Solve the following system of equations by linear combination: 2d + e = 8 d – e = 4

1 answer:

Cerrena [4.2K]3 years ago

3 0

Because there is a +e and a -e in the two equations we can simply add them together to solve for d...

2d+e+d-e=8+4 combine like terms

3d=12 divide by 3

d=4, now use this d in either original equation to solve for e...<span>d–e=4 so

4-e=4 subtract 4

-e=0

e=0

So the solution, where the lines intersect graphically, is the point (4, 0)</span>

You might be interested in

Select ALL the correct answers.

Orlov [11]

Answer:

r(n)=3n-1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

4 0

2 years ago

a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of

ella [17]

Answer:

= 18 cubic inches

Step-by-step explanation:

The volume of a cone is given by the formula;

V = 1/3 × base area × height

While that of cylinder is given by the formula;

Volume = Base area × height

Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.

Therefore;

The cone has three times less volume compared to the cylinder.

Thus;

Volume of the cylinder = Volume of cone × 3

= 6 In³ × 3

<u>= 18 cubic inches</u>

5 0

3 years ago

1. Classify each statement as true or false for all real numbers a, b,<br> and c.

12345 [234]

naw

g4jtnbjtrnjbnrtibnrijnbngtrjnb jtkgnbrbgbn

6 0

2 years ago

The product of two irrational numbers is. Rational

Snowcat [4.5K]

Answer:

So the statement:

"The product of two irrational numbers is rational." is false.

Step-by-step explanation:

The product of two irrationals can be irrational or rational.

Example:

$\sqrt{2} \cdot \sqrt{2}=2$

$\sqrt{2}$ is irrational but when you multiply it to itself the output is rational.

Example:

$\sqrt{2} \cdot \sqrt{3}=\sqrt{6}$

$\sqrt{2} \text{ and } \sqrt{3}$ are irrational and when you multiply them you get an irrational answer of $\sqrt{6}$ .

So the statement:

"The product of two irrational numbers is rational." is false.

5 0

2 years ago