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3 years ago

Find the slope of this line

Mathematics

2 answers:

tester [92]3 years ago

5 0

Answer:

Points (3, 3) and (5, 4)

4 - 3 1

____ = _____ = 1/2, A is your answer

5 - 3 2

stellarik [79]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

Based on the graph, we can see that the two points plotted are (3,3) and (5,4) We also know that slope is calculated through this formula:

$\frac{y1-y2}{x1-x2}$

Therefore, let's substitute the x and y of the points plotted into that formula:

$\frac{4-3}{5-3}$

Simplify:

$\frac{1}{2}$

Therefore, the slope is 1/2

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The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

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

Using the distance formula, we get

$AB=\sqrt{(5-(-3))^2+(8-2)^2}$

$AB=\sqrt{(8)^2+(6)^2}$

$AB=\sqrt{64+36}$

$AB=\sqrt{100}$

$AB=10$

Similarly,

$BC=\sqrt{(11-5)^2+(0-8)^2}$

$BC=\sqrt{(6)^2+(8)^2}$

$BC=\sqrt{36+64}$

$BC=\sqrt{100}$

$BC=10$

And,

$AC=\sqrt{(11-(-3))^2+(0-2)^2}$

$AC=\sqrt{(14)^2+(-2)^2}$

$AC=\sqrt{196+4}$

$AC=\sqrt{200}$

$AC=10\sqrt{2}$

Two sides of the triangle are equal, i.e., $AB=BC$ . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

$AB^2+BC^2=10^2+10^2$

$AB^2+BC^2=100+100$

$AB^2+BC^2=200$

$AB^2+BC^2=AC^2$

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0

3 years ago

The population of China is 1,352,600,000 and the US is 327,200,000. How many more people are living in China than the US.

777dan777 [17]

Answer:

1,025,400,000

Step-by-step explanation:

I hope this helped!

5 0

3 years ago

Can anyone help me on this one?

sertanlavr [38]

Answer:

Step-by-step explanation:

a=1/2 b*h

a=1/2 3*4

a=1/2 12

a=6

7 0

3 years ago

Read 2 more answers

If a set of six numbers that include both

prohojiy [21]

If there are no duplicates among the rational numbers and no duplicates
among the irrational numbers, then there must be exactly 6 points.

None of the rational numbers can also be irrational, and none of the
irrational numbers can also be rational.

6 0

3 years ago

There are 23 oranges and 16 apples in a basket. Find the ratio of the number of apples to the number of oranges

Harrizon [31]

Answer:

16:23

Step-by-step explanation:

It's really simple

4 0

3 years ago