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3 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

Delicious77 [7]3 years ago

5 0

Answer: EH = 12

Step-by-step explanation:

CD : GH = 2 : 3 ⇒ AD : EH = 2 : 3

AD = 8

AD : EH

2 : 3

×4 ×4

8 : 12

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.

DENIUS [597]

Answer:

$\frac{7}{\sqrt{3}}$

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

$d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |$ --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

$d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |$

$d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |$

$d = |\frac{(-7)}{\sqrt{3}} |$

$d = \frac{7}{\sqrt{3}}$

Therefore, the shortest distance from the point to the plane is $d = \frac{7}{\sqrt{3}}$

5 0

4 years ago

How to multiply 3 digit numbers by 3 digits and up

Grace [21]

Example:

378 • 123= x

Start- 378. Then 378. 378. 378
With- •123 ->do. •100 ->•020 -> •003

Then add the answers of the three problems. 37800+ 7560+1134

Which then you will have the answer.

7 0

3 years ago

(5.81*10^-3)*(8.7*10^10) in scientific notation

GalinKa [24]

5.0547x10^8
Is it's scientific notation.

3 0

3 years ago

PLEASE HELP MEEEEE!!!!

Sauron [17]

Answer: 2 hours and 40 minutes

Step-by-step explanation:

40 + 55h = 190 ( equation )
-40 -40
55h = 150
/55 /55
h = 2 hours and 40 min ( answer )

6 0

2 years ago

Which of the following is true about the function y=4*3^x

Trava [24]

Answer:

option-c

Step-by-step explanation:

we are given

$y=4(3)^x$

we will verify each options

option-A:

we can see that exponent is over 3

and it is positive and greater than 1

so, this function is increasing

so, this is FALSE

option-C:

At x=1:

$y=4(3)^1$

$y=12$

At x=2:

$y=4(3)^2$

$y=36$

$\frac{y_2}{y_1} =\frac{36}{12}$

$\frac{y_2}{y_1} =3$

$y_2=3y_1$

So, it is getting tripled

so, this is TRUE

option-b:

we can plug x=0

$y=4(3)^0$

$y=4$

so, this is FALSE

option-d:

we can plug x=1

$y=4(3)^1$

$y=12$

so, this is FALSE

5 0

3 years ago