Answer:
- 19. y = x + 1
- 20. y = -2/3x - 5
- 21. y = -1/2x + 7
- 22. y = 4x - 3
Step-by-step explanation:
19. Passing through (2, 3) and PARALLEL to y = x - 4
<u>Parallel lines have equal slopes:</u>
<u>Use given point to find b:</u>
<u>The line is:</u>
20. Passing through (-6, -1) and PARALLEL 2x + 3y = 3
<u>Rewrite in the slope-intercept form:</u>
- 2x + 3y = 3
- 3y = -2x + 3
- y = -2/3x + 1
<u>The line have same slope:</u>
- y = -2/3x + b
- -1 = -2/3(-6) + b
- -1 = 4 + b
- b = - 5
<u>The line is:</u>
21. Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5
Perpendicular lines have negative-reciprocal slopes
<u>The line has the form:</u>
Find the y-intercept:
- 8 = -1/2*(-2) + b
- 8 = 1 + b
- b = 7
<u>The line is:</u>
22. Passing through (-2, -11) and PERPENDICULAR to x + 4y = 8
Perpendicular lines have negative-reciprocal slopes
<u>Rewrite in slope-intercept form:</u>
- x + 4y = 8
- 4y = -x + 8
- y = -1/4x + 2
<u>The line has the form:</u>
<u>Find y-intercept:</u>
- -11 = 4(-2) + b
- -11 = -8 + b
- b = -3
<u>The line is:</u>
Answer:
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
Step-by-step explanation:
weight of the farmer = 176 lb
Sweating = 1 litre per hour
60% of above sweating is evaporated by the latent heat from farmers body.
Temperature outside = 104
Temperature of the Farmer = 100
Time to rise the temperature 4 degrees = ?
We need to use the specific heat formula to calculate the time to rise the temperature of the body of farmer.
Before, that let's convert weight of the farmer in Kg
W = 176 lb
1 lb = 0.453592 kg
176 lb = 79.8 kg
w = mg
g = 10
mass = m = 79.8/10
mass = 7.98 kg
Q = mc∆T
c = specific heat of water = 4,186
∆T = Temperature Change = 104-100
∆T = 4
Q = 7.98 x 4186 x 4
Q = 133617
t = Q/P
Power of Sun's Heat = 3.846×1026
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
Answer:
We first ALWAYS have to split the figure apart from each other,
lets split it into a triangle and a square!
Let's find the area of the triangle:
20(height) x 20(base) = 400!
400 x 1/2 (just dividing by 2) = 200!
*Remember* Formula of a triangle is:
B(base) x H(height) x 1/2 (basically dividing by 2)
Now time to find the area of the square!
20 x 20 = 400!
Now let's add both their areas:
400 + 200 = 600!
Step-by-step explanation:
600cm2 is your answer.
Answer:
Step-by-step explanation:
1/6 for him to land on 3 and 1/2 to land on heads so multiply the probabilities
1/2 also equals 3/6
3/6*1/6= .0833333% chance
Answer: 9b+4n+6d+7
Step-by-step explanation:
1. 9b+9+4n−4+6d+2
2. 9b+4n+6d+(9-4+2)
3. 9b+4n+6d+7