9. Write an equation in point-slope form for the line through the given point with the given slope.
(4, -6); m= 3/5
A. y + 6= 3/5(x - 4).
B. y - 4= 3/5(x + 6).
C. y - 6= 3/5(x + 4).
D. y + 6= 3/5x - 4
Answers
Answer:
C. y - 6= 3/5(x + 4).
Step-by-step explanation:
y
=
m
x
+
c
−
6
=
(
4
×
3
5
)
+
c
c
=
−
12
5
−
6
=
−
42
5
So:
y
=
3
5
x
−
42
5
The point slope form comes from the definition of slope as a measure of the change in
y
for a given change in
x
in passing from point 1 to point 2, i.e.:
slope
=
m
=
Δ
y
Δ
x
=
y
2
−
y
1
x
2
−
x
1
...........(1).
The only difference here is that you do not have 2 points but only one!
So you have: the value of
m
and the coordinates of one point, say, point 1. So we can write in (1):
3
5
=
y
−
(
−
6
)
x
−
4
where the coordinates of the other point are the unknown
x
,
y
.
You get rearranging:
y
+
6
=
3
5
(
x
−
4
)
y
+
6
=
3
5
x
−
12
5
y
=
3
5
x
−
12
5
−
6
y
=
3
5
x
−
42
5
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Answer:
Step-by-step explanation:
1.
a.9 ^3/2 = 27
b. 27 ^1/3 = 3
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b , c , a
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Answer:
x = 2Step-by-step explanation:
We know that
The diagonals of a rectangle are of equal lengthThe diagonals bisect each otherConsidering the above we have:
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Answers
Answer:
I believe it's 9.
Step-by-step explanation:
Have a good day/night
I got 11.9 am I right???
Film studios make a commission from every ticket sold. The movie tickets at Carbob Theatres cost $8.50. The studios earn a 40% commission. What amount of the movie ticket do they earn?
Answers
Answer:
I don't think so
Step-by-step explanation:
The studio earns $3.40 on commision because thats 40% of $8.50
The theater earns $5.10 because that would be the rest of the money
Decrease 12kg by 25%
Answers
Answer:
9kg
Step-by-step explanation:
100% = 12kg
75% =
75/100 × 12 = 9
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Calculate the original amount
Answers
Answer:
216
Step-by-step explanation:
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Find an equation of the line containing the point (6,-3) and
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Answers
Answer:
y = -2/5x - 3/5
Step-by-step explanation:
2x + 5y = -8
5y = -2x - 8
y = -2/5x - 8/5
y = -2/5x + b
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-3 = -12/5 + b
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Kay and Karen went on a fishing trip.Kay caught 20 fish and Karen caught 12 fish. What is the value of the ratio
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Answer:
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Step-by-step explanation:
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Answer:
∠ PQR = 150°
Step-by-step explanation:
∠ PQR = ∠ PQS + ∠ SQR , substitute values
12x - 6 = 16 + 9x + 17
12x - 6 = 9x + 33 ( subtract 9x from both sides )
3x - 6 = 33 ( add 6 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Then
∠ PQR = 12x - 6 = 12(13) - 6 = 156 - 6 = 150°
Answer:
m<PQR = 150°
Step-by-step explanation:
<PQR = (12x-6)°
<SQR = (9x+17)°
<PQS = 16°
find m<PQR.
since <SQR + <PQS = <PQR,
then (9x+17)° + 16° = (12x-6)°
combine like terms;
9x + 17 + 16
9x + 33 = 12x - 6
subtract 33 from both sides;
9x = 12x - 39
subtract 12x from both sides;
-3x = -39
divide by -3;
x = 13, then input x into the equation for m<PQR;
m<PQR = (12x-6)°,
(12(13)x - 6)°
(156 - 6)°
Answer: 150°
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Answers
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Answer: Answer In Photo
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
2).
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We know that
The Rationalising factor of a+√b is a-√b
The denominator = 7+5√2
The Rationalising factor of 7+5√2 is 7-5√2
On Rationalising the denominator then
=> [1/(7+5√2)]×[ (7-5√2)/(7-5√2)]
=> [1×(7-5√2)]/(7+5√2)(7-5√2)]
=> (7-5√2)/[(7+5√2)(7-5√2)]
=> (7-5√2)/[7²-(5√2)²]
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Answers
Answer:
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Step-by-step explanation:
Step 1: Build the equation.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
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Answers
Answer:
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Step-by-step explanation:
um
Answer:
X≥9
Step-by-step explanation:
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Answers
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= 13,160 meters
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Answers
Answer:
238
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Apple= 7 + Apricots
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1. Which is the best first step in solving the absolute value inequality -353 +6] + 1 2 6?
Subtract 1 from both sides of the inequality.
Divide both sides of the inequality by -3.
o
Split the inequality into a compound AND inequality.
o
Split the inequality into a compound OR inequality.
Answers
Answer:
either c or d
Step-by-step explanation:
The absolute value expression must be isolated on one side of the inequality before solving. either and or...OR
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Answers
Answer:
We know that negative times anything means that it will change the sign. Ideally, the second negative should change the sign of our original number (which is also negative). So, our original negative sign is changed into a positive sign when a negative is multiplied to it.
Step-by-step explanation:
Give Brainliest
Saved
Question 7 (1.25 points)
Determine whether the given procedure results in a binomial distribution. If not,
state the reason why.
Rolling a single die 10 times, keeping track of the numbers that are rolled.
1) Procedure results in a binomial distribution.
2) Not binomial: the trials are not independent.
3) Not binomial: there are too many trials.
4) Not binomial: there are more than two outcomes for each trial.
Question 8 (1.25 points)
Saved
Answers
Answer: 4) Not binomial: there are more than two outcomes for each trial.
Explanation:
There are 6 outcomes and they are: {1,2,3,4,5,6} which are the labels on a standard 6-sided die. A binomial distribution only concerns itself with things where we have 2 outcomes. For example, flipping a coin to have it land on heads or tails, would be considered a binomial experiment.