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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Step-by-step explanation:
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Step-by-step explanation:
Gina deposited $1500 in an account that pays 4% interest compounded quarterly. What will the balance be in two years?
Answers
Answer:
$1,624.29
Step-by-step explanation:
The equation here is A = P + I.
A is the total, P is the principal (the amount you start out with so 1,500), and I is the interest (the quarterly interest in total is $124.29. 0.04 rate per year compounded four times per year over two years)
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What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Principal amount = $1500
Rate = 4% = 0.04
Time = 1/4 years
Now,
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Step-by-step explanation:
2).
Given that 1/(7+5√2)
We know that
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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)]
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Where , a = 7 and b = 5√2
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=> -7+5√2
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Answers
Answer:
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Step-by-step explanation:
Step 1: Build the equation.
[tex]\frac{x}{100}(64) = 48[/tex]Step 2: Simplify.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Question 7 (1.25 points)
Determine whether the given procedure results in a binomial distribution. If not,
state the reason why.
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Question 8 (1.25 points)
Saved
Answers
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Explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer: Answer In Photo
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Answer:
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Answer:
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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:
um
Answer:
X≥9
Step-by-step explanation:
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Answers
Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km
Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:
= 940 x 2 x 7 days a week
= 13,160 meters
A meter is 0.001km so 13,160 meters in kilometers would be:
= Number of meters x Conversion factor
= 13,160 x 0.001
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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
Answer:
9kg
Step-by-step explanation:
100% = 12kg
75% =
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Calculate the original amount
Answers
Answer:
216
Step-by-step explanation:
[tex] \frac{2}{9} x = 48 \\ x = 48 \times \frac{9}{2} \\ x = 216[/tex]
If all of the matching cards will increase her score by 18, what are the matching cards?
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Answer:
I believe it's 9.
Step-by-step explanation:
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