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jarptica [38.1K]
4 years ago
13

Mr.johnson can travel for 6 hours while taking 3 breaks of 12 minutes each Once,he had to travel for 36 hours. How many minutes

in breaks did he take?
Mathematics
1 answer:
dlinn [17]4 years ago
3 0
He took 4 minutes in breaks
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Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.​
8_murik_8 [283]

Given:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

To show:

That the triangle ABC is a right angled triangle.​

Solution:

Distance formula:

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

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

Using the distance formula, we get

AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}

AB=\sqrt{(19)^2+(2)^2}

AB=\sqrt{361+4}

AB=\sqrt{365}

Similarly,

BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}

BC=\sqrt{73}

And,

AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}

AC=\sqrt{292}

Now, add the square of two smaller sides.

BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2

BC^2+AC^2=73+292

BC^2+AC^2=365

BC^2+AC^2=(AB)^2

Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.

Hence proved.

7 0
3 years ago
this graph shows the amount of rain that falls in a given amount of time. what is the slope of the line and what does it mean in
Galina-37 [17]

Answer:

-5/-2 or 2.5

Step-by-step explanation:

Because you gave two points that I'm guessing are from the graph I think that's the answer. Because when you use the slope formula y2-y1 over x2 - x1 you get -5/-2 or you either get 2.5 meaning that is the slope specifically saying the rate of change. You get 2.5 when you divide -5/-2 incase you need a decimal or want to simplfy it.

4 0
1 year ago
Read 2 more answers
Substitute (–5, 0.5) into x – 4y = –7 to get .
lesya [120]

Answer:

-7

Step-by-step explanation:

Coordinates are listed as (x,y) so x = -5 and y = .5

If you substitute the numbers in place of the letters, you get:

(-5) - 4(.5) = -7

-5 - 2 = -7

-7 = -7

Marking as Brainliest is much appreciated.

8 0
3 years ago
Choose the correct simplification of (2x3 + x2 − 4x) − (9x3 − 3x2).
harina [27]
2x^3 + x^2 - 4x - (9x^3 - 3x^2) =
2x^3 + x^2 - 4x - 9x^3 + 3x^2 =
-7x^3 + 4x^2 - 4x <===
8 0
4 years ago
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Use The function f(x) is graphed below. the graph of the function to find, f(6).
____ [38]
F(6)=2

That is because the 6 in the brackets means x
If f(x) means f(6) x=6

And if you look at the graph where the 6 on the x axis is and look where the graph meets the value of 6 it is on the value of 2 on the y axis
4 0
4 years ago
Read 2 more answers
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