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2 years ago

The equation of a line with slope m= - 1/4 and including point (-3, 5) is y= - 1/4 x - 4.

Mathematics

1 answer:

raketka [301]2 years ago

8 0

Answer:

False

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - $\frac{1}{4}$ , hence

y = - $\frac{1}{4}$ x + c ← is the partial equation

to find c substitute (- 3, 5) into the partial equation

5 = $\frac{3}{4}$ + c ⇒ c = $\frac{17}{4}$

y = - $\frac{1}{4}$ x + $\frac{17}{4}$ ← equation of line

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(2x+3y) + (5x+3y) = 4 +-8

Artist 52 [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

HELP!!!!!

Elis [28]

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

Line 1:

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

Applying distributive property,

$y=\frac{1}{3}x+2$

Line 2:

$y-6 = 3x\\\rightarrow y=3x+6$

Line 3:

$y=-3(x-4)$

Applying distributive property,

$y=-3x+12$

Line 4:

$3y+18=x$

re-arranging,

$3y=x-18\\y=\frac{1}{3}x-6$

Now we have rewritten all the lines in the form $y=mx+q$ , where m is the slope. By comparing the values of m, we see:

$m_1 = \frac{1}{3}\\m_2=3\\m_3 = -3\\m_4=\frac{1}{3}$

Therefore, the lines which are parallel are line 1 and line 4.

Learn more about parallel and perpendicular lines:

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7 0

2 years ago

Please Help. Find the area. Thank you

Andru [333]

Answer:

432 yd squared

Step-by-step explanation:

This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:

A = bh = (19 1/5) * (22 1/2)

To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:

A = 19.2 * 22.5 = 432

Thus the area is 432 yd squared.

Hope this helps!

7 0

2 years ago

Read 2 more answers

Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.

Vadim26 [7]

The equation $y=2x+2$ is a function

Explanation:

Given that the graph contains the coordinates $(-1,0)$ , $(0,2)$ , $(1,4)$ and $(2,6)$

We need to determine whether the equation $y=2x+2$ is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate $(-1,0)$ in the equation $y=2x+2$

Thus, we have,

$0=2(-1)+2$

$0=-2+2$

$0=0$

Thus, the coordinate $(-1,0)$ satisfies the equation $y=2x+2$

Substituting the coordinate $(0,2)$ in the equation, we have,

$2=2(0)+2$

$2=2$

Thus, the coordinate $(0,2)$ satisfies the equation $y=2x+2$

Substituting the coordinate $(1,4)$ in the equation $y=2x+2$

$4=2(1)+2$

$4=4$

Thus, the coordinate $(1,4)$ satisfies the equation $y=2x+2$

Substituting the coordinate $(2,6)$ in the equation, we get,

$6=2(2)+2$

$6=6$

Thus, the coordinate $(2,6)$ satisfies the equation $y=2x+2$

Hence, the coordinates $(-1,0)$ , $(0,2)$ , $(1,4)$ and $(2,6)$ satisfies the equation $y=2x+2$

Thus, the equation $y=2x+2$ is a function.

6 0

3 years ago

If 5 becomes 11 and 12 becomes 25, what does 15 become?

Amiraneli [1.4K]

Answer:

31.

Step-by-step explanation:

5+5 = 10 + 1 = 11

12 + 12 = 24 +1 = 25

15 + 15 = 30 + 1 = 31

I don't know I tried to see if that was the pattern. It checks out math wise.

5 0

2 years ago

Read 2 more answers