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Effectus [21]
3 years ago
6

Help me please i need help

Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

  A.  y = 2x -9

  B.  y = -1/2x +1

Step-by-step explanation:

The given line is in slope-intercept form

  y = mx + b

where m is the slope. For your given line, the slope is 2.

A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:

  y = m(x -h) +k . . . . . for slope m through point (h, k)

You want the equation of the line through (4, -1) with slope 2, so its equation is ...

  y = 2(x -4) -1

Simplifying to slope-intercept form, this becomes ...

  y = 2x -8 -1

  y = 2x -9

___

B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...

  m = -1/2

As above, the point-slope form of the perpendicular line is ...

  y = -1/2(x -4) -1

  y = -1/2x +1 . . . . . after simplification

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At 6 AM, the temperature in Volusia, California was 46℉. By 4 PM, the temperature had risen to 57℉. What was the change in tempe
pshichka [43]

Answer:

The correct answer is 11°F.

Step-by-step explanation:

To solve this problem, we simply need to find the change in temperature.  This is modeled below:

Change in temperature = final temperature - initial temperature

Change in temperature = 57 - 46 = 11

Therefore, the correct answer is 11 degrees Fahrenheit.  

Hope this helps!

7 0
3 years ago
Read 2 more answers
Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure
Tpy6a [65]

A linear pair means that the sum of the angles is 180 degrees.

Therefore:

a + b = 180°

 

We know that:

a = b + 26°

 

Therefore:

b + 26 + b = 180

2b = 154

b = 77°

 

So,

a = b + 26 = 103<span>°</span>

6 0
3 years ago
What is the GCF of 96 and 567 The GCF is.<br><br>A 16<br>B 2<br>C 14<br>D 8​
vazorg [7]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
Can someone please solve this
mote1985 [20]
That’s pretty easy you just have to basically y=mx+b
5 0
2 years ago
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