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zavuch27 [327]
3 years ago
9

Which number best represents the slope of the graphed line?

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

1/2 or 0.5

Step-by-step explanation:

Hello!

Pick two points on the graph, I'm picking (0,5) and (2,6)

To solve for the slope, we want the ratio to the rise of the graph, over the run of the graph (Rise/Run).

As the graph Rises 1 unit, it also Runs 2 units.

Hence the fraction 1/2.

We can also use the slope formula, given two points : ((x_1, y_1) , (x_2, y_2)

Formula: \frac{y_2 - y_2}{x_2 - x_1}

Plug in our points (0,5) and (2,6):

  • \frac{y_2 - y_2}{x_2 - x_1}
  • \frac{6 - 5}{2 - 0}
  • \frac12

The slope is 1/2, or 0.5

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Triangle ABC is an isosceles triangle in which side
Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using this formula, we get

AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5

BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5

Now,

Perimeter of triangle ABC = AB + BC + AC

                        =5+\sqrt{10}+5

                        =10+\sqrt{10}

So, perimeter of triangle ABC is 10+\sqrt{10} units.

Therefore, the correct option is B.

4 0
3 years ago
Read 2 more answers
The two functions below are used to represent the height of a rocket above the ground after it is launched. Which rocket reaches
Korvikt [17]

Answer:

  Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.

Step-by-step explanation:

A graph quickly shows the answer to this question.

__

In vertex form, the equation for Rocket A is ...

  y = -6(x² -16x +8²) +6(8²)

  y = -6(x -8)² +384 . . . . . . . . . maximum height is 384 feet

__

The corresponding equation for Rocket B is ...

  y = -4(x² -20x +10²) +4(10²)

  y = -4(x -10)² +400 . . . . . . . . maximum height is 400 feet

Rocket B reaches a maximum height greater than that of Rocket A.

7 0
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A tortoise travels 2/12 miles per hour describe two different methods to determine the number of miles it will take to walk 3 2/
suter [353]

Answer:

11/18 miles

Step-by-step explanation:

3 2/3=11/3

2/12=1/6

1/6*11/3=11/18

7 0
3 years ago
2) Key components of financial planning include all of the following except:
nexus9112 [7]

Answer:

b

Step-by-step explanation:

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5 0
3 years ago
Use the percent proportion.
garri49 [273]

Answer:

72

Step-by-step explanation:

use a percentage calculator! Hope this helped! <3

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