What is the equation of the line that is perpendicular to
the given line and passes through the point (3,0)?
A. 3x+5y=-9
B.3x+5y=9
C.5x-3y=-15
D.5x-3y=15
Answers
Answer:
answer is D
shown below
The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the points as (-3, 2) and (2, -1).
So, the slope of line
slope = (-1 -2)/ (2 -(-3))
slope = -3/5
So, the slope for the perpendicular line is
slope= 5/3
Now, using the slope intercept form
y= mx+ b
y= 5/3x + b
and, the line passes through (3, 0)
0= 5/3(3)+ b
b= -5
Then, the equation of line is
y= 5/3x -5
3y - 5x = -15
Learn more about Slope here:
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Related Questions
Lines DE and AB intersect at point C.
What is the value of x?
Answers
Answer:
25
Step-by-step explanation:
[tex](2x + 2) +( 5x + 3) = 7x + 5 = 180 \\ 7x = 175 \\ x = 25[/tex]
Answer:
25
Step-by-step explanation:
2x+2+5x+3=180
7x+5=180
7x=175
x=25
If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain
Answers
Answer:
Always
Step-by-step explanation:
In order for an integer to be even, one of the factors must be 2. Otherwise, it is odd.
If A is an odd number, it does not have a factor of 2.
If B is an odd number, it also does not have a factor of 2.
Therefore, AB also does not have a factor of 2, so it is always odd.
How do you solve this ? Please !!!
Answers
Answer:
m[tex] \angle[/tex]6 = 68°Step-by-step explanation:
From the question all the angles are on a a straight line which means the sum of their angles is 180 and one of the angles is 90°
So to find m [tex] \angle[/tex] 6 , add
m [tex] \angle[/tex] 5 and 90 and subtract the result from 180°
That's
m[tex] \angle[/tex]5 + m[tex] \angle[/tex]6 + 90 = 180
m[tex] \angle[/tex]6 = 180 - 90 - m[tex] \angle[/tex]5
m[tex] \angle[/tex]6 = 180 - 90 - 22
We have the final answer as
m[tex] \angle[/tex]6 = 68°Hope this helps you
In the question, a lines & angles diagram is provided, and we can see three angles labelled here. The angles are angle 5, angle 6 and a 90°.
GiveN,
Angle 5 = 22°One of them is 90°We have to find the measure of the missing angle 6...
All the three angles are lying on a staright line, so their collective measure or the sum of these 3 angles is equals to 180°.
➝ Angle 5 + Angle 6 + 90° = 180°
➝ 22° + Angle 6 + 90° = 180°
➝ Angle 6 + 112° = 180°
➝ Angle 6 = 68°
So, the measure of Angle 6:
[tex] \huge{ \boxed{ \bf{68 \degree}}}[/tex]
And we are done !!
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-8(-x - 7) = 120
I forgot how to do equations pls help
Answers
Answer:
x = 8
Step-by-step explanation:
Given
- 8(- x - 7) = 120 ( divide both sides by - 8 )
- x - 7 = - 15 ( add 7 to both sides )
- x = - 8 ( multiply both sides by - 1 )
x = 8
Evaluate -Z + 7.49 for Z = -7.1
Answers
To solve, simply plug -7.1 into -Z. Since Z is negative in the equation, it will turn the Z that’s given to us into a negative. Since that Z is already negative, it will now become a positive since that’s what two negatives being multiplied make. This is what your problem will look like:
-(-7.1) + 7.49
7.1 + 7.49 = 14.59
An active sphagnum bog deposits a depth of about 1
metre of peat per 1000 years. Roughly how many millimetres is that per
day?
A) 0.0003
B) 0.003
C) 0.03
D) 0.3
E) 3
Answers
Answer:
B) 0.003
Step-by-step explanation:
1 meter per 1000 years is 1 mm per year, so 1/365 mm per day.
1/365 mm/day ≈ 0.00274 mm/day ≈ 0.003 mm/day
Answer:
B) 0.003
Step-by-step explanation:
Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions
Answers
Answer:
$1.40/ hour
Step-by-step explanation:
The rate of the deductions is
Full amount minus new amount. This is the amount taken per hour
$6.50/ hour -$5.2/hour = rate
$1.40/ hour
Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Syeda have left in her account on Thursday
Answers
Answer:
$22.70
Step-by-step explanation:
$80.45-$20.50=$59.95. $59.95-$37.25= $22.70.
hope i helped.
Answer:
22.70
Step-by-step explanation:
80.45
- 20.50
59.95
59.95
- 37.25
22.70
It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?
Answers
solve for the equation 2x+9=3x
Answers
Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
Answers
Answer:
80=x+y
Step-by-step explanation:
The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.
Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?
Answers
Steven's cards = x
Nathaniel's cards = 2x
Marcus' cards = 2x - 4
Kurt's cards = 2x - 5
Since the sum of the cards is equal to 47, let's set all the cards equal to 47
x + 2x + 2x - 4 + 2x - 5 = 47
Combine like terms.
7x - 9 = 47
Add 9 to both sides
7x = 56
Divide both sides by 7
x = 8
Let's plug 8 into x for Kurt's cards.
Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.
Rewrite in simplest terms: -9(5s – 6) + 9s
Answers
the answer is -36+54
I used a exponet calculator
How can u tell that 7.360 and 7.36 are equivalent decimals
Answers
Answer:
You can tell 7.360 and 7.36 are equivalent decimals because when you put a zero in the decimal places, it doesn't count as a number and it doesn't have a value. In conclusion, zero is just a placeholder. Therefore, if you have the zero or not it doesn't matter.
Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?
Answers
Answer:
2$
Step-by-step explanation:
2 medium popcorns = 9$
2 Movie tickets = 16$
One coupon = -4$
This is equal to the cost without the soft drink(21$)
23$ - 21$ = 2$
Answer:
$2
Step-by-step explanation:
It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.
1. Start from the cost of each item.
8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .2. Add the totals together.
16+9+ 25
Now subtract 25 from the original amount.
27-25=2
It costs 2 dollars for a soft drink.
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?
Answers
Answer:
The answer is 7 video games
Step-by-step explanation:
The number of video games Austin sold will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.
Let x be the number of video games sold and y be the number of video games left. Then the equations will be
y = 26 - x
y = 40 - 3x
From equations 1 and 2, then we have
26 - x = 40 - 3x
3x - x = 40 - 26
2x = 14
x = 4
The number of video games Austin sold will be 4.
More about the solution of the equation link is given below.
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the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250
Answers
2.)Solve for Y
3.)Solve for G
5.)Solve for B
6.)Solve for D
Answers
3. G= f/h
5. B= m/f
6. D=b/8
I hope these are right for you
Answer:
See below
Step-by-step explanation:
2) x =5y Solve for y
Divide both sides by y
x/5 = y
3) f/g = h Solve for G
Multiply both sides by g
(g/1) f/g =h(g)
f =hg
Divide by h
f/h = g
5) bf = m Solve for b
divide both sides by f
bf/f = m/f
b = m/f
6) 8 = b/d solve for d
Multiply both sides by d
8 ( d) = b
Divide by 8
d = b/8
What is the value of C-F
Answers
Answer:
The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.
There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?
Answers
Answer:
y = 28 - b
Step-by-step explanation:
you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.
Felipe earns $9 per hour for helping his grandmother with her yard work. Write and solve a multiplication equation to find how many hours he must help his grandmother I’m order to earn $54
Answers
Answer:
Felipe work for 6 hours to earn $54
Step-by-step explanation:
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Marty drew a model of the school library. The total area of the floor is 132 square
centimeters. What is the area of the shaded part of the model shown below?
10 centimeters
6 centimeters
What is the area of the shaded part?
Answers
Answer:
60
Step-by-step explanation:
Expand each expressions and combine like terms if possible
-12(5/6x - 5) + 2x
Answers
Answer:
The answer is
60 - 8xStep-by-step explanation:
[tex] - 12( \frac{5}{6} x - 5) + 2x[/tex]
Using FOIL multiply the terms in the bracket
That's
[tex] - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x[/tex]
Group like terms
That's
[tex]60 + 2x - 10x[/tex]
We have the final answer as
60 - 8xHope this helps you
The unit digit in the square of the number 132 is options are:- 1) 1 2) 2 3) 3 4) 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer fast
Answers
132*132= 17424
so unit digit is 4 Step-by-step explanation:
Identify the graph of the inequality 2(2x – 1) + 7 < 13 or –2x + 5 < –10.
Answers
Answer:
–2x + 5 < –10.
Decimal Form: 7.5
15/2
Answer:
the answer is C on edge
Solve for x.
[tex] - 2(6 + x) = 18 - 3x[/tex]
x = [?]
Answers
-12 - 2x = 18 - 3x
-2x + 3x = 18 + 12
x = 30
9x - 12 = 13 + 4x
Respuesta y ejemplo
Answers
9x=13+14x+12
Simplify it we get
9x=4x+25
Subtract 4x from both sides
9x-4x=25
We simplify it and we get
5x=25
Divide both sides by 5
X=25/5
And we get x=5 as the answer
Responder:
x=5
Explicada:
9x-12=13+4x
Suma 12 a ambos lados
9x-12+12=13+4x+12
simplificar
9x=4x+25
restar 4x de ambos lados
9x-4x=4x+25-4x
Simplifica de nuevo
5x=25
dividir ambos lados entre 5
5x/5=25/5
Simplifica de nuevo
x=5
What is the measure of angle TRV? 20° 50° 60° 130°
Answers
Answer: 130
Step-by-step explanation:
Answer: 130 (D)
What is the measure of angle TRV?
What is the value of x+2, when x = 2 ?
I
Answers
Answer: 2 + 2 x =2
Step-by-step explanation:
x + 2
x=2
2+2
Hey there!☺
[tex]Answer:\boxed{4}[/tex]
[tex]Explanation:[/tex]
[tex]x+2[/tex] when x = 2
Since x is 2, you just have to add it with the number that you need to add with.
[tex]x+2\\x(2)+2=4\\2+2=4[/tex]
4 is your final answer.
Hope this helps!
The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of
Answers
Answer:
45°
Step-by-step explanation:
A and B are Alternate exterior angles and congruent, thus
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Thus
∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°