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Andreyy89
3 years ago
9

How does knowing the slope and y-intercept help you graph and write the equation of a line?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

It allows to to know y-intercept formula which is used to graph a line.

Step-by-step explanation:

Y-intercept formula:

y=mx+b

  M: slope (keep in fraction if it is fraction, to help you graph)

  B: y-interecept

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Find the area of a regular decagon with perimeter 100 units. Show all work.
Slav-nsk [51]
A regular polygon has ten (10) equal sides ( since it is regular).
We are given with the perimeter value which is 100 units and the perimeter formula is P = 10a
Solving for a (the side measurement), we have:
100 = 10a
a= 100/10
a =10

We can now proceed in solving the area and the formula is shown below:
Area = 5/2 a√ (5+2√5)
Area = 5/2 * 10√(5+2√5)
Area = 76.94 square units

The answer is 96.94 square units.
4 0
3 years ago
Function f(x) represents the population of bacteria x hours after 9 a.m. What does f(2)-f(1) represent?
Kitty [74]

x = number of hours after 9 am (eg: x = 1 means 1 hr after 9 am, so 10 am)

f(x) = population count x hours after 9 am

f(1) = population count at 10 am (1 hour later)

f(2) = population count at 11 am (2 hrs after 9 am)

f(2) - f(1) represents the difference in population counts from 10 am to 11 am, or put another way, how much the population increased during that time interval.

4 0
2 years ago
Can u please Solve for g<br> Mg=6<br> g=?
alexdok [17]
Well if you use opposite operations then you will get

mg=6
to
g=6m
5 0
3 years ago
Factor the following:<br><br> 1. 5(a+3)²- (a+3<br><br> 2. p²- 6 - q · (p²- 6)²
scoundrel [369]

Answer:

1. (a + 3)(5a-14)

2. (p^2-6)[1-q(p^2-6)]

Step-by-step explanation:

1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.

Then the expression. 5(a + 3)^2- (a + 3) remains as:

(a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)

2. The first thing to do to factor the expression is to take the expression  p^2 -6 as its common factor with its lowest exponent.

Then the expression p^2- 6 - q(p^2- 6)^2 remains as:

(p^2-6)[1-q (p^2-6)]

8 0
3 years ago
Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems.
IrinaVladis [17]

Answer:

The reuired probability is 0.756

Step-by-step explanation:

Let the number of trucks be 'N'

1) Trucks on interstate highway N'= 76% of N =0.76N

2) Truck on intra-state highway N''= 24% of N = 0.24N

i) Number of trucks flagged on intrastate highway  = 3.4% of N'' = \frac{3.4}{100}\times 0.24N=0.00816N

ii)  Number of trucks flagged on interstate highway  = 0.7% of N' = \frac{0.7}{100}\times 0.76N=0.00532N

Part a)

The probability that the truck is an interstate truck and is not flagged for safety is P(E)=P_{1}\times (1-P_{2})

where

P_{1} is the probability that the truck chosen is on interstate

P_{2} is the probability that the truck chosen on interstate is flagged

\therefore P(E)=0.76\times (1-0.00532)=0.756

5 0
3 years ago
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