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3 years ago

What is the slope of the graph shown below?

Mathematics

2 answers:

melisa1 [442]3 years ago

7 0

A.

the answer is A......

GaryK [48]3 years ago

5 0

Answer: The correct option is (A) 4.

Step-by-step explanation: We are given to find the slope of the graph shown in the figure.

We can see that the graph is a straight line.

Also, the line passes through the points $(0,-3)$ and $\left(\dfrac{3}{4},0\right).$

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

Therefore, the slope of the given line is

$m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.$

Thus, the required slope of the graph is 4.

Option (A) is correct.

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The average temperature of the week is 80 degrees. The first 3 days have an average of 78 and the average of the last 3 days is

Tju [1.3M]

Answer:

Step-by-step explanation:Solution:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 78 & 80

step 2 Find the sum of the given two numbers.

sum = 78 + 80 = 158

step 3 Divide the sum by 2 to get the average.

average = 158/2

= 79

Thus, 79 is an average of positive integers 78 and 80.

3 0

3 years ago

Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f

aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ $D = |b|-|a|$

⇒ $D = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}$

⇒ $D = \sqrt{233} -\sqrt{169}$

⇒ $D =15.26 -13$

⇒ $D =2.6$

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0

4 years ago

A sea lion dives to an altitude of -216.12 meters in 2.4 minutes. What is the average change in his altitude per minute?

xenn [34]

-90.05 meters per minute

3 0

3 years ago

Find the area of the given figure and please put all the steps you made as well

mylen [45]

Answer:

B. 196.5

Step-by-step explanation:

First lets fine the semi circle's area.

The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.

The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14

(3.14)(8)²=200.96 and half of that is 100.48

The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.

The formula for area of an triangle is A=1/2bh

We can see that the base is 16 and height is 12, and now plug it in.

A=1/2(16)(12)= 96.

The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.

3 0

3 years ago

Plz answer this questioned

adelina 88 [10]

A) Law of Detachment...

3 0

4 years ago