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marysya [2.9K]
3 years ago
11

He graph shows the distance Henry drives on a trip. What is Henry’s speed

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0
60 mph would be the correct answer!
Brainilest please! :)
Yuliya22 [10]3 years ago
5 0

Answer with explanation:

  Speed

              =\frac{\text{Distance traveled}}{\text{Time taken}}

When you will observe the graph

Time is represented on X axis

And , Distance traveled is represented on Y axis.

In 5 hours ,Henry travels a distance of 300 miles.

So, in 1 hour distance traveled by Henry

     =\frac{300}{5}\\\\=60 miles

So, Speed of Henry

=60 \frac{miles}{hour}

Speed can be calculated by this method also

 =\frac{\text{Difference in two y values lying on the straight line}}{\text{Corresponding x values}}\\\\=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{300-0}{5-0}\\\\=60 \frac{miles}{hour}

Option D: 60 miles per hour

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The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

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1 year ago
Simplify: -7/9-(-5/12)+1/3. ​
alexandr1967 [171]

Step-by-step explanation:

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2 years ago
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What does 4 (2x +5) equal to?!!
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7)Twice a number when decreased by 7 gives 45. Find the number.​
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Isn’t it 26... cuz 26x2 is 52 then subtract 7 which is 45
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Please help with math (30 points)
ikadub [295]

Here we have some problems about circles, the solutions are:

  • a) 490.6 yd^2
  • b) x = 15
  • c) x = 27

<h3>How to find the area of a circle?</h3>

We know that for a circle of diameter D, the area is given by:

A = pi*(D/2)^2

where pi = 3.14

In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:

A = 3.14*(25yd/2)^2 = 490.6 yd^2

<h3>How to find the value of x?</h3>

<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:

180° = 37° + (9x + 8)°

180° - 37° - 8°  = (9x)°

135°/9° = x = 15

So the value of x is 15.

For the last image:

Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>

270° = 54° + (2x + 21)° + (5x + 6)°

Now we solve this for x:

270 - 54 - 21 - 6 = 2x + 5x

189 = 7x

189/7 = x = 27

x is equal to 27

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