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3 years ago

What is the answer to 6d+8=14+3d ?

Mathematics

1 answer:

jenyasd209 [6]3 years ago

4 0

6d+8=14+3d
6d=14-8+3d
6d-3d=14-8
3d=6
D=6/3
D=2

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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

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2 years ago

At Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.

Hitman42 [59]

Answer:

Step-by-step explanation:

Look at the numbers.

Sorry, I didnt answer quicker

8 0

2 years ago

This is hard, but I really need help!

sukhopar [10]

Please see pic, I'd solved in it.

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3 years ago

For a hypothesis test of H0: p = 0.35 against the alternative, Ha: p > 0.35, the z test statistic is found to be 2.45. What c

tamaranim1 [39]

Answer:

c? sorry if it's wrong...

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2 years ago

What is the value of x? x = 23 x = 35 x = 58 x = 93

Akimi4 [234]

we know that

m∠SQR+x= $180$ -------> by supplementary angles

m∠SQR= $180-x$

The sum of the internal angles of a triangle is equal to $180$ degrees

m∠SQR+m∠QSR+m∠SRQ= $180$

substitute the values in the formula

m∠SQR+ $35$ + $58$ = $180$

m∠SQR= $87$ degrees

<u>Find the value of x</u>

m∠SQR= $180-x$

x= $180$ -m∠SQR

x= $180-87$

x= $93$ degrees

therefore

<u>the answer is</u>

the value of x is $93$ degrees

5 0

2 years ago

Read 2 more answers