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3 years ago

How many unique triangles can be drawn with given side lengths of 8 inches,10.3 inches,and 13 inches?

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

3 0

Answer:

3 unique triangles

Step-by-step explanation:

If you use the Triangle Inequality Theorem, it states that the sum of 2 sides of the triangle would equal more than the third side. So three triangles can be made with those side lengths.

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A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

HELP PLEASE APPRECIATED Margarita is driving at the speed of s-4/ s^2- 9s + 20 miles per hour.

Lady bird [3.3K]

D = V • t ... displacement = velocity • time
d = [(s – 4) ⁄ (s² – 9s + 20)] • [(s – 5) ⁄ 4] ... rearrange terms
d = (s – 4) • (s – 5) ⁄ [4(s² – 9s + 20)] ... factor denominator
d = (s – 4) • (s – 5) ⁄ [4(s – 4) • (s – 5)]
d = ¼ mile

4 0

3 years ago

SO<br> Determine the values of<br> a, b, and c for<br> the quadratic equation:<br> 4x2 - 8x = 3

Schach [20]

I believe it’s

a = 4
b = -8
c = -3

6 0

3 years ago

Use substitution to determine the solution of the system of equations. Write the solution as an ordered pair.

zubka84 [21]

The answer is (6,4) x=6 y=4

5 0

2 years ago

The distance from Earth to the moon is about 4*10 fifth power kilometers. The distance from Earth to Mars is about 5*10 the seve

uysha [10]

Answer: distance from earth to moon is 4x10^5= 4,000,000

The distance from Earth to Mars is about 5x10^7= 50,000,000.

Step-by-step explanation:

8 0

3 years ago

How many unique triangles can be drawn with given side lengths of 8 inches,10.3 inches,and 13 inches?​

How many unique triangles can be drawn with given side lengths of 8 inches,10.3 inches,and 13 inches?