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3 years ago

1 Which system of linear equations represents the lines graphed below?

Mathematics

2 answers:

Tom [10]3 years ago

8 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

Both the lines are intersecting each other at point (-6, 4)

So, x = - 6 & y = 4

Let us plug x = - 6 in the equation $y =-\frac{1}{3} x + 2$

We find that:

$y =-\frac{1}{3} (-6) + 2$

$y =-(-2) + 2$

$y = 2 + 2$

$y = 4$

So, when x = - 6, the value of y is 4.

Since, second equation of option D is invisible, hence I can't provide any explanation for the same.

kaheart [24]3 years ago

7 0

Answer:

Step-by-step explanation:

I took the test and got it right

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Write 50.449 as a mixed number.

lana [24]

Answer:

50 499/1000

Step-by-step explanation:

50.499

There are 3 digits after the decimal

Our denominator is 1 with 3 zero's 1000

50 499/1000

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3 years ago

I need help please for geometry

mart [117]

Answer:

EF ≈ 1.98

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = $\frac{opposite}{hypotenuse}$ = $\frac{EF}{FD}$ = $\frac{EF}{4.5 }$ ( multiply both sides by 4.5 )

4.5 × sin26° = EF

4.5 × 0.44 = EF , that is

EF ≈ 1.98 ( to 2 dec. places )

6 0

3 years ago

Explain how to solve the equation x + 6 = 24

jeka57 [31]

You need to subtract 6 from 24 because it’s the inverse operation of addition which will help you find the unknown value, x.

5 0

3 years ago

Read 2 more answers

Jane’s buying clothes. She can get 5 shirts & 4 sweaters for $229 or she can get 2 shirts & 3 sweaters for $128. How muc

makkiz [27]

Cost of 1 shirt is $\$25$ and cost of one sweater is $\$26$

<u>Solution: </u>

Given that Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for $\$229$

She can get 2 shirts & 3 sweaters for $\$128$

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = $\$x$

And assume cost of 1 sweater = $\$y$

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = $\$229$

$\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}$

So using first condition equation which we get is as follows

$5 x+4 y=229 \rightarrow (1)$

Second condition is Cost of 5 shirt + cost of 4 sweater = $\$128$

$\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}$

So using second condition equation which we get is as follows

$2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)$

Now we have two equations to be solved

$\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}$

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

$\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}$

On subtracting (3) from (4), we get

$\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}$

On substituting y = 26 in equation (1) we get

$\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}$

Cost of 1 shirt = $\$x = \$25$

Cost of 1 sweater = $\$y = \$26$

7 0

3 years ago

What would a line parallel to 4x - 3y = 6 have a slope of

Gennadij [26K]

Hi there!

All sets of parallel lines must have the same slope, as this allows the line to go to infinity without intersecting.
In order to find the slope of 4x-3y=6, we need to put the equation in y=mx+b form. The m value will represent the slope.
4x-3y=6
-3y=-4x+6
y=4/3x-2

Therefore the slope would be 4/3.

Hope this helps!

7 0

3 years ago