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Alexxandr [17]
11 months ago
15

"Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form

.

Mathematics
1 answer:
liberstina [14]11 months ago
8 0

The slope of the line = rise of the line / run of the line = 2/2 = 1.

<h3>How to Find the Slope of a Line?</h3>

The slope (m) of a line can be determined by finding the ratio of the rise of the line to the run of the line, which is, the change in y over the change in x.

Referring to the image attached below, the blue line in the given graph shows the rise of the line while the red line shows the run of the line.

Therefore:

Rise of the line = 2 units

Run of the line = 2 units

Slope of the line (m) = rise/run = 2 units/2 units

Slope of the line (m) = 1

Learn more about slope on:

brainly.com/question/13861479

#SPJ1

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Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?
Goshia [24]
Speed (S) = Distance (D) / time (t)

First stretch

45 = D / 2

D = 45*2

D = 90 mp

How is the same distance:

Second stretch

S = 90 / t

Average speed (AS):

AS = (S1+S2) / 2

60 = [45+(90/t)] / 2

120 = 45+90/t

120-45 = 90/t

75 = 90/t

t = 90/75

t = 1,2 h

________________________

And now:

S = 90 / t

S = 90 / 1,2

S = 75 mph
8 0
3 years ago
Tom grew eight tomato plants with four seeds packets. How many seed packets does Tom need to have a total of 16 tomato plants?
Dmitriy789 [7]

Answer:

8 seed packets

Step-by-step explanation:

you just need to have half the amount of seed packets of the number of tomato plants grown

8 0
3 years ago
Which of the following equations have complex roots?
mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0

Evaluate the discriminant of each of the given equations.

\textsf{A.} \quad 3x^2+2=0

\implies a=3, \quad b=0, \quad c=2

\implies b^2-4ac=0^2-4(3)(2)=-24

As -24 < 0 the equation will have complex roots.

\textsf{B.} \quad 2x^2+1=7x

\implies 2x^2-7x+1=0

\implies a=2, \quad b=-7, \quad c=1

\implies b^2-4ac= (-7)^2-4(2)(1)=41

As 41 > 0 the equation does not have complex roots.

\textsf{C.} \quad 3x^2-1=6x

\implies 3x^2-6x-1=0

\implies a=3, \quad b=-6, \quad c=-1

\implies b^2-4ac=(-6)^2-4(3)(-1)=48

As 48 > 0 the equation does not have complex roots.

\textsf{D.} \quad 2x^2-1=5x

\implies 2x^2-5x-1=0

\implies a=2, \quad b=-5, \quad c=-1

\implies b^2-4ac=(-5)^2-4(2)(-1)=33

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0
2 years ago
What is 2+7+6-8/3*5+8-4
finlep [7]

Answer: 2+7+6-8/3*5+8-4=17/3=5 2/3 =5.666667


Step-by-step explanation:


7 0
3 years ago
A farmer ships oranges in wooden crates. Suppose each orange weighs the same amount. The total weight of a crate filled with ora
maw [93]

Answer: g= 25 oranges

Step-by-step explanation:

.38g + 15 = 24.5

.38g = 24.5 - 15

.38g = 9.5

g = 9.5 ÷ .38

g = 25

7 0
3 years ago
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