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2 years ago

Simultaneous equations 5x-4y=19 X+2y=8

Mathematics

1 answer:

Ad libitum [116K]2 years ago

3 0

Answer:

x=5

y=3/2

Step-by-step explanation:

Take it or leave it, that's what the computer said.

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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?

Anastasy [175]

ANSWER

The required equation is

$y = 5x + 1$

EXPLANATION

The given line passes through the point

$(5,0) \: and \: (0,1)$

The slope of this line is given by the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

This implies that,

$m = \frac{1 - 0}{0 - 5}$

$m = - \frac{1}{5}$

The product of the slope of the two perpendicular lines should be negative one.

Thus,

$m_1\times m_2=-1$
This implies that,

$- \frac{1}{5} \times m_2=-1$

We multiply through by
$- 5$
to obtain,

$m_2=-1 \times - 5$

$m_2=5$
Therefore the slope of the line perpendicular to the given line is
$5.$

We use the slope intercept formula
$y =m x + b$

where
$b = 1$
is the y-value of the y-intercept.

We therefore have,

$y = 5x + 1$

as the required equation.

The correct answer is C.

8 0

3 years ago

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krek1111 [17]

10. A 11. D 12. A (wasn’t too sure about question 12)

6 0

2 years ago

Plz help 100 points

tekilochka [14]

Answer:

the answer is one line is increased by 1, and the other increased by 6

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2 years ago

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Barney wants to rent a tent. He has to pay a fixed base cost plus a daily rate for renting the tent. The table shows the amount

harina [27]

3 18 shows the relationship between x and y

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3 years ago

Paul baked 208 brown loaves. if the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total

navik [9.2K]

Answer:

520 loaves

Step-by-step explanation:

First, let's find how many white loaves he baked.

Let's make a proportion.

white loaves/brown loaves= white loaves/brown loaves

He baked 3 white loaves for every 2 brown loaves. He baked x white loaves for 208 brown loaves.

3/2=x/208

Now, we have to solve for x. To do this, we have to get x by itself. x is being divided by 208. To reverse this, multiply both sides by 208

208*3/2=x/208*208

208*3/2=x

312=x

He baked 312 white loaves.

Now, we have to find the total number of loaves he baked.

To do this, add the brown loaves and the white loaves.

brown loaves+white loaves

He baked 208 brown loaves and 312 white loaves

208+312

520

He baked 520 loaves in total

5 0

3 years ago