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3 years ago

Graph the line with slope 3 passing through the point (-3, -3).

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

y=3x+6

Step-by-step explanation:

graph it on desmos

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Suppose r(140°, P)(A) = B and (Rnotation: Line PD∘Rnotation: Line PC)(A) = B, what is m∠CPD?

Nutka1998 [239]

Answer:

Step-by-step explanation:

i got 100% on the test

3 0

3 years ago

In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini

svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

$x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2$

The augmented matrix is

$\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]$

The reduction of this matrix to row-echelon form is outlined below.

$R_2\rightarrow R_2-R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]$

$R_3\rightarrow R_3-2R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]$

$R_3\rightarrow R_3-R_2$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]$

The last row determines, if there are solutions or not. To be consistent, we must have k such that

$k^2-k-2=0$

$\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2$

Case k = −1:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]$

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]$

This gives the infinite many solution.

5 0

3 years ago

Eileen drove for 85 minutes. This is 21 more minutes than one third the number of minutes Ethan drove. How do I put this into an

Lapatulllka [165]

So let's start out by labeling Ethan as X

Since 85 is 1/3 of what Ethan drove, that means Ethan drove 3 times of 85.

85= (3x) -21
85 -21 = 3x
60=3x
20 = x

6 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is 40 feet. The ratio of the width to the length is 2:3 find the length and the width

ziro4ka [17]

Width : Length

2 : 3

Perimeter = 2* width + 2*length

Ratio becomes:

Width : Length

4 : 6

Total units = 4 + 6 = 10

Perimeter = 40

Answer: Width is 8 ft and Length is 12 ft.

5 0

2 years ago

Alpha will be marked

Galina-37 [17]

Answer:

The answer is 3.

Step-by-step explanation:

Since you do the parentheses first, you will figure out what why is. Y = 3, because 3*3 =9, and 9-9=0.

8 0

3 years ago

Read 2 more answers