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3 years ago

What is the x-coordinate of the image of point (−2, 6) after a reflection in the -axis?

Mathematics

1 answer:

egoroff_w [7]3 years ago

4 0

(2,6) after a reflection in the x axis

(-2,-6) after a reflection in the y axis

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4. A diver first dove to 35 feet below sea

love history [14]

At 45 feet depth the diver stoped the untangle the line.

Add 35 plus 10

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4 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

How many different sums can be made with 3 numbers?

Tanzania [10]

1 sum

because of the commutative property of addition
a+b=b+a
we can furthuer expand it

a+b+c=a+c+b=b+a+c=b+c+a=c+b+a=c+a+b

same sum
you can test it with numbers

4 0

3 years ago

The Transitive Property of Congruence states that if ∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT, then _____.

solniwko [45]

In other terms, the Transitive Property states that if ∠a = ∠b and ∠b = ∠c, then ∠a = ∠c. So, if ∠XYZ = ∠AOB and ∠AOB = ∠WYT, then ∠XYZ = ∠WYT. The correct answer here would be B.

4 0

3 years ago

What are the formulas for right triangles

Elan Coil [88]

Answer:

The Pythagorean theorem is

a^2 + b^2 = c^2

where a and b are the lengths of the legs (the sides that form the right angle), and c is the length of the hypotenuse (the side opposite the right angle.)

3 0

3 years ago

Read 2 more answers