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3 years ago

Y-2y8y-6 is equivalent to: A)0 B)1 C)-1 D)y^3

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

B is the correct answer if we evaluate your function y-2y8y-6

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Prove that the points (3,3),(3,7) and (9,3) are the vertices of a right triangle

Alinara [238K]

The points (3,3), (3,7) and (9,3) do not form a right angled triangle

Solution:

Given vertices of triangle are (3, 3) , (3, 7) and (9, 3)

Let the triangle be ABC

Let the vertices be,

A = (3, 3)

B = (3, 7)

C = (9, 3)

For a triangle to be right angled triangle, it must obey Pythagoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

Therefore by above definition,

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

Let us use the distance formula

$D=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

The distance between A and C is given as:

$\text{ Here } x_1 = 3 ; y_1 = 3 ; x_2 = 9 ; y_2 = 3$

Therefore,

$\begin{array}{l}{D=\sqrt{(9-3)^{2}+(3-3)^{2}}} \\\\{D=\sqrt{6^{2}+0}=\sqrt{36}=6}\end{array}$

Thus length of AC is 6 units

The distance between A and B is given as:

$\text{ Here } x_1 =3 ; y_1 = 3 ; x_2 = 3; y_2 = 7$

$\begin{array}{l}{D=\sqrt{(3-3)^{2}+(7-3)^{2}}} \\\\{D=\sqrt{0+4^{2}}=\sqrt{16}=4}\end{array}$

The distance between B and C is given as:

$\text{ Here } x_1 = 3 ; y_1 = 7 ; x_2 = 9 ; y_2 = 3$

$\begin{aligned}&D=\sqrt{(9-3)^{2}+(3-7)^{2}}\\\\&D=\sqrt{6^{2}+(-4)^{2}}=\sqrt{36+16}=\sqrt{52}\end{aligned}$

Thus by Pythagorean theorem,

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

Substituting the obtained values we get,

$6^2 = 4^2 + (\sqrt{52})^2\\\\ 36 = 16 + 52\\\\36 \neq 68$

Thus the vertices does not form a right angled triangle

8 0

4 years ago

gina worked a total of 57 hours last week at her 2 part time jobs, one job pays $8 per hour and the other job pays $7.25 per hou

EleoNora [17]

Answer:

2hors she dindid hine his work

8 0

3 years ago

How many of u are from India

kotykmax [81]

Answer:

I was born in California and then moved to Texas bt Im indian because my parents are indian

4 0

3 years ago

Solve the folloeing equation for a number x. 5x-x-6=6(2x+7) plllllzzz help

Ray Of Light [21]

Answer:

x=-6

Step-by-step explanation:

5x-x-6=6(2x+7)

4x-6=6(2x+7)

4x-6=12x+42

-8x=48 |:(-8)

x=-6

3 0

3 years ago

Write the equation of a line that has a slope of -7 and a y intercept of 9. ( Hint: Use the formula y = mx + b )

iogann1982 [59]

The y intercept is 9 and the unit rate is -7

So we plug these numbers in
y= -7x (the unit rate)+ 9 (y intercept)

y= -7x+9

8 0

3 years ago

Read 2 more answers