Answer:

Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.

Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7

Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49

Add.


Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
<h3>
Answer: 20 minutes.</h3>
Work Shown:
Estimate = 1.25*(actual time)
Estimate = 1.25*(16)
Estimate = 20
Bryan estimated it would take 20 minutes.
Note: The multiplier 1.25 represents an increase of 25%
Answer:
I(7) = 22.96 W/m²
Step-by-step explanation:
Let intensity of light, be I(d) where d is distance. There must be a proportionality factor K such as
I(d) = K /d²
Now for d = 5 m I(d) = K* 1/d²
then 45 * 25 = K
K = 1125
To find the intensity when the distance from the light bulb is 7 m away
I(7) = K / 49
I(7) = 1125/49 W/m²
I(7) = 22.96 W/m²
1 becuse you put the deniminatoe 1