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4 years ago

Two vertices of a right triangle are located at (1, 3) and (2, 5) .

Mathematics

2 answers:

Ad libitum [116K]4 years ago

8 0

Answer:

(2,3) y (1,5)

Step-by-step explanation:

exis [7]4 years ago

4 0

If you graph 4 separate triangles with the four different points, only (2,3) and (1,5) form a right triangle.

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Are the lines with equations 2x -3y = 8 and -x + 4y=2 parallel, perpendicular, or neither

skad [1K]

Answer:

neither

Step-by-step explanation:

First, arrange the equations to fit the y=mx + b format

1. 2x - 3y = 8

y = -2/3x - 8/3

2. -x + 4y = 2

y = 1/4x + 1/2

Equations that are parallel have the same slope.

In perpendicular equations, one slope would be x and the other would be -1/x (negative reciprocal)

The equations are neither parallel nor perpendicular, so neither.

3 0

3 years ago

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

Step-by-step explanation:

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

4 0

4 years ago

Consider this system of linear equations:

Vinil7 [7]

Answer:

m = -3 and b = 5

Step-by-step explanation:

y = -3x + 5

.......

8 0

3 years ago

The expression means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

from the question:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

please like and Mark as brainliest

3 0

3 years ago

Will give brainliest What goes on the blank? A ? B? C? D? E? F?

Gre4nikov [31]

A will be 360/4
B will be pentagon
C will be 72
D will be hexagon
E will be 360/60
F will be 51.428571

3 0

3 years ago