All categories

3 years ago

What is the slope of the line shown below?

Mathematics

1 answer:

gogolik [260]3 years ago

6 0

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = $\frac{5-(-3)}{1-(-1)}$ = $\frac{5+3}{1+1}$ = $\frac{8}{2}$ = 4 → C

You might be interested in

A garden has an area of 32 square feet what is the smallest possible perimeter

stepan [7]

Answer:

24 feet

Step-by-step explanation:

factors that produce an area of 32:

1x32 Would give a perimeter of 66

2x16 Would give a perimeter of 36

4x8 Would give a perimeter of 24

6 0

3 years ago

A) Two angles are adjacent if their measures add up to 90°.

slavikrds [6]

Answer:

A) False

B) False

Step-by-step explanation:

A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.

B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to $180^{o}$ . Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.

4 0

3 years ago

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

4 0

3 years ago

What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? A)

Blizzard [7]

We can make a conclusion that the more fog there is, the less distance the pilot can see. this means that there is a negative association because if this were graphed, the slop would be negative, as the x-axis (amount of fog) increases and the y-axis (distance pilot can see) decreases.

7 0

3 years ago

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale

gulaghasi [49]

Answer:

12 sales

Step-by-step explanation:

7 0

3 years ago