Answer: g(0) = 2
Step-by-step explanation:
g(x)=3x+2
g(0)=3(0)+2
=2
<u>We know that:</u>
Slope of a line = change in y coordinate / change in x coordinate
<u>We are given:</u>
First point = (2,5)
Second point = (5, 14)
<u>Calculating the change in y coordinate:</u>
change in y (also represented by Δy) = second y - first y
Δy = 14 - 5
Δy = 9
<u>Calculating the change in x coordinate:</u>
Δx = second x - first x
Δx = 5 - 2
Δx = 3
<u>Slope of the line:</u>
Slope = (Δy) / (Δx)
Slope = 9 / 3 [replacing the values]
Slope = 3
Answer: a) 15 b)
Step-by-step explanation:
Let X be the number of days:
a)
For LESSONS:
Jordan does 10 / day ( 10*X)
Marco 5 / day ( 5*X)
Junyi 5 / day ( 5*X)
For TESTS:
Jordan does 5 / day ( 5*X)
Marco 10 / day ( 10*X)
Junyi 8 / day ( 8*X)
for each they need a total of 300
a)
days for the lessons
b)
days for the tests
so they need 15 days to finish both tasks
now if Junyi gets sick we just eliminate his contribution
a)
days for the lessons
b)
days for the tests
so in 20 days they will finish without him
If jordan works 10 hours a day, we just replace him with 10/24
a)
days for the lessons
b)
days for the tests
so at the end to complete both tasks they need 29.58 days
The Question is Incomplete The complete question with figure is below.
Answer:
Therefore the equation to solve for b is

Step-by-step explanation:
Given:
In Right Angle Triangle ABC
∠C = 90°
BC = 5 cm
AB = 10 cm
∠A = 30°
To Find:
b = ?
Solution:
In Right Angle Triangle ABC Tangent identity we have

Substituting the values we get

Therefore the equation to solve for b is

9514 1404 393
Answer:
(b) 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember that ...
Sin = Opposite/Hypotenuse
sin(C) = AT/CT
sin(C) = 24/25