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NEED HELP ASAP Given G (-6,5) and H (2, -7), what is the length of GH

lesya692 [45]

$\bold{\huge{\green{\underline{ Solution }}}}$

$\bold{\underline{ Given}}$

We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )

$\bold{\underline{To \: Find :- }}$

We have to find the length of GH

$\bold{\underline{Let's \: Begin :- }}$

The coordinates of G = ( -6 , 5 )

The coordinates of H = ( 2 , - 7 )

According to the distance formula, we get :- 

$\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7

Subsitute the required values in the above formula 

$\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}$

$\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}$

$\sf{Distance\:GH=√(-8)^2+(12)^2}$

$\sf{ Distance \:GH =√64 + 144 }$

$\sf{ Distance \:GH =√ 208}$

$\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}$

$\sf{ Distance \:GH = 4√13}$

$\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}$

3 0

2 years ago

What is the width of a box when the length is x+2, the height is x+8, and the volume is x^3+9x^2+6x-16?

Nostrana [21]

(x+2)(x+8) = x^2 +10x +16

(x^2 + 10x + 16)(x-1) = x^3+9x^2+6x-16, so the other dimension is x-1

8 0

3 years ago

Read 2 more answers

Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)

Natali [406]

Answer:

a. 5:2

Step-by-step explanation:

1 ft = 12 in

30:12

Divide by 6

30÷6=5

12÷6=2

So, the answer is 5:2

3 0

2 years ago

Find the lowest common denominator of 3/4 and 5/8 A. 16 B. 32 C. 8 D. 4.

Alekssandra [29.7K]

The answer is C. 8. Then both can have a denominator that looks like this..
6/8 and 5/8. Hope it helps!

6 0

3 years ago

Principal = 5300=5300 rupees

PSYCHO15rus [73]

Answer:

Using the formula:

$A=P+I$

where

A is the total amount

P is the principal

I is the Simple Interest

As per the statement:

Principal(P) = 5300 rupees.

rate of interest(r) = 6.5% = 0.065

Total amount(A) = 6678 rupees.

Then using above formula we have;

$6678 = 5300+I$

Subtract 5300 both sides we get;

$1378 = I$

or

$I = \$1378$

We have to find the time period.

Using formula of Simple interest:

$I = Prt$

where r is the rate of interest (in decimal)

here, r = 6.5% = 0.065

Substitute the given values top find t:

$1378 = 5300 \cdot 0.065 \cdot t$

⇒ $1378 = 344.5t$

Divide both sides by 344.5 we have;

$4 = t$

Therefore, the time period t in years is 4 years

8 0

3 years ago