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3 years ago

A system of equations is given below.

1 answer:

5 0

First, solve the given system of linear equations.

Second, multiply the first equation by 4 (which was an arbitrary choice). Add your result to the 2nd equation.

You should now have the following:

First equation: No change: 2x + 7y = 1

Second equation: 4(-3x – 4y = 5) = -12x -16y = 20

Solve this new system of linear equations. Do you (or do you not) obtain the same solution as your earlier one?

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Given that x/1 = 3y/8, find the ratio of : y

brilliants [131]

Answer:

3 : 8

Step-by-step explanation:

$\frac{x}{1} = \frac{3y}{8}$

cross multiply

8x = 3y

x = 3/8

x : y = 3 : 8

5 0

2 years ago

I have no clue to what I even need to do.

Gre4nikov [31]

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \cline{1-1} \theta =\frac{3\pi }{2}\\ s=\frac{5\pi }{2} \end{cases}\implies \cfrac{5\pi }{2}=r\cdot \cfrac{3\pi }{2}$

$\bf \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{5~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=r\implies \cfrac{5}{3}=r$

4 0

2 years ago

If g(x)=f(x+k), what is the value of k?

lianna [129]

G(x) is f(x) shifted left by (4 -(-2)) = 6 units.

The value of k is 6.

6 0

3 years ago

Read 2 more answers

If (x + 8) is a factor of f(x), which of the following must be true?

Sedaia [141]

Answer:

f(-8) = 0

Step-by-step explanation:

If (x+8) is a factor of f(x), then for some expression p, we have ...

f(x) = (x+8)p

Evaluated at x=-8, this gives ...

f(-8) = (-8+8)p = 0p

f(-8) = 0 . . . . must be true

_____

Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.

6 0

2 years ago

Read 2 more answers

Xa farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the ba

Kay [80]

Width=34.2
Length=65.2

6 0

2 years ago