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
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Related Questions
The midpoint of AB is M (5,1). If the coordinates of A are (3,6), what are the
coordinates of B answers
Answers
The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).
What are the coordinates of the midpoint of the line segment AB?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Given that the midpoint of AB is M whose coordinates can be written as,
The x-coordinate of point B,
[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]
[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]
10 = 3 + x
x = 10 - 3
x = 7
The y-coordinate of point B,
[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]
[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]
2 = 6 + y
y = 2 - 6
y = -4
Hence, the coordinates of point B are (7, -4).
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if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___
Answers
Answer:
Step-by-step explanation:
g(x^2 + 2x - 4)
3(x^2 + 2x - 4) + 1
3x^2 + 6x - 12 + 1
3x^2 + 6x - 11
Simon is making a poster about friendship in his art class. He divides his poster into 3 equal parts. Simon writes the names of his friends all over each part. Simon uses 1 part for his neighborhood friends and 1 part for his friends from school.
What fraction of the poster does Simon use for his friends from school?
Answers
Answer:
1/3
Step-by-step explanation:
The most important thing to remember is that the poster is divided into three equal parts and 1 part of it is for his neighborhood friends and another one part of it is for his friends from school. The denominator would be three and the numerator would be the 1 part he uses for his friends from school.
2x + y - z=-7
5y- z=1
3z = 12
solve the 3x3 system
Answers
Answer:
Step-by-step explanation:
3z = 12
z = 4
5y - 4 = 1
5y = 5
y = 1
2x + 1 - 4 = -7
2x - 3 = -7
2x = -4
x = -2
(-2, 1, 4)
Solve using 2-step equations.
You got a job which only pays salary without commission.
You earn $40,000 per year. You're living with your parents,
so bills this month will only be $400, but you want to put
$2000 into your savings.
After paying bills and putting money aside in savings, how
much will you have left over?
Answers
4800 + 2000 = 6800
40000 - 6800 = 33200
You will have $33,200 left over
Solve for p if 2lpl = 4
O {-8, 8)
O{-4, 4)
O (-2, 2)
Answers
Answer:
Step-by-step explanation:
2|p|= 4
2p = 4
p = 2
-2p = 4
p = -2
(-2, 2)
Write an expression that represents the height of a tree that begins at 2 feet and increases by 3
feet per year. Please help
Answers
Answer:
2+3x
Step-by-step explanation:
2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years
The class wants to raise a total of $1750. If they receive a profit of $1.75 from each candy bar sold, how many bars must they sell to reach their goal?
Answers
Answer: 1,000
Step-by-step explanation:
1,750 divided by 1.75 =1,000
Answer:
1,000
Step-by-step explanation:
If the class wants to raise a total of $1,750 and make a profit of $1.75 from each candy bar that gets sold then you take the total and divide it by the amount of profit each bar makes. So you do 1,750 divided by 1.75 and that gives you 1,000. So the class must sell 1,000 candy bars to reach their goal.
The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis
Answers
Answer:4.0 and 6.0
Step-by-step explanation:
3. Given the following table find the slope 2 6 8 Time (hours) Distance (miles) 3 6 9 12
Answers
Answer:
3/2
Step-by-step explanation:
when you plot it time is x and distance is y so go up 3 right 2
help help i need help please
Answers
hope it helps you
this is my answer
What type of number is -18
Answers
Answer:
a nagitive integer
Step-by-step explanation:
an integer is a whole number
0.018 ÷ 0.03. NO WRONG ANSWERS OR ELSE WILL REPORT. IF CORRECT WILL MARK U AS BRAINILIST
Answers
Or 0.03
make q the subject of the formula 2(q+p)=1+5q
Answers
Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
there are 400 pens in a shop 40percent are black 20percent of the other colored pens are blue and 10percent of other pens are yellow if the remaining are red what percent of pens are red
Answers
Help me plz !!!!!!!!!!!!!!!
Answers
Answer:
A. 2/3 book/hour
Step-by-step explanation:
rewrite the fractions as a decimal if it can make it easier for you (0.5 book/0.75 hours) then divide which is 2/3 book/hour
por favor ayúdenme en esta ecuación: 5x-3x=6x-8
Answers
Hey there!
ANSWER: [tex]x=2[/tex]EXPLANATION:[tex]5x-3x=6x-8[/tex]
Combine like terms.
[tex](5x+-3x)=6x-8\\2x=6x-8[/tex]
Subtract 6x from both sides of the equation.
[tex]2x-6x=6x-8-6x\\-4x=-8[/tex]
In the last step, we will divide both sides by -4.
[tex]\frac{-4x}{-4} =\frac{-8}{-4} \\x=2(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
Answer: x = 2
Step-by-step explanation: Aquí esta :
Simplificar 5x - 3x y eso se de 2x
1.) 2x = 6x-8
Sustraer 6x-2x
2.) 2x-6x= -8
Y entonces deberías haber obtenido 4x
3.) -4x=-8
Dividir ambos lados por -4
4.) x = -8/-4
Dos negativas hacen una positivo
5.) x = 8/4
Finalmente, la repuesta es :
6.) x = 2
Whoever answers first is brainliest
Answers
Answer:
Let the truck is driven X miles per day
Charges of company A will be = 90+0.4X
Charges of company B will be =30+0.7X
Let us find out value of X when charges of both companies are same
which means that 90+0.4 X= 30+0.7X
90-30 = 0.7X-0.4X
60 = 0.3X
60/0.3 = X
X= 200
The charges of both companies will be same if truck is driven 200 miles per day
Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)
Step-by-step explanation:
A bag contains 7 red marbles 4 blue marbles and 5 green marbles. If three marbles are drawn out the bag what is the probability to the nearest 1000th that all three marbles drawn will be green
Answers
Answer:
0.063
Step-by-step explanation:
I NEED HELP ASAPP PLEASE THIS IS DUE FOR SCHOOL PLEASE HELP ASAP and I don't have a calculator at home so I can't do this 2{3+10/2+62-(4+2)}
Answers
Answer:
128
Step-by-step explanation:
worksheet math
Write the group of natural number
Answers
Answer:
natural number starts from 1
1 2 3 4 5 6 7 8 9 10 ...................
Step-by-step explanation:
Answer:
Natural numbers are also called whole, positive numbers. 1, 2, 3,4 and so on represent this. Hopefully this helps!
What is 3 1/3 + 4 4/6=?
Answers
Answer:
8
Add the fractions.
3 1/3 + 4 4/6 = 8.
The answer is 8.
Answer:
the answer is 8
Step-by-step explanation:
1/3 plus 4/6 is 1
1+3+4 is 8
Evaluate 35.2 - 62.71
Answers
Answer:
-27.51
Step-by-step explanation:
subtract the two numbers
f(x) = 14 - 0.52
f(30)
Answers
Steps to solve:
f(x) = 14 - 0.5x when x = 30
~Substitute
f(30) = 14 - 0.5(30)
~Simplify
f(30) = 14 - 15
~Subtract
f(30) = -1
Best of Luck!
A car rental company charges $31 per day to rent a particular type of car, and $0.19 per mile. Juan is charged $59.31 for a one-day rental. How many miles did he drive? (Show your algebraic work)
Answers
x = # of miles
$59.31 = $31 + $0.19x
Subtract $31 from both sides
$28.31 = $0.19x
Divide both sides by $0.19
149 = x
Juan drove 149 miles
A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle of hot sauce did Leigh use for lunch? A)26/36 B)5/36 C)1/6 D) 1/2 E) 1/3. PLEASE HELP.
Answers
Answer:
C) 1/6
Step-by-step explanation:
2/9 of 3/4 is ...
[tex]\dfrac{2}{9}\times\dfrac{3}{4}=\dfrac{2\cdot 3}{9\cdot 4}=\dfrac{6}{36}=\boxed{\dfrac{1}{6}}\qquad\text{matches C}[/tex]
Answer:
hlp
Step-by-step explanation:
HELPPPPPPPPP MEEEEEEEEE! DUE IN 30 MIN!!! I REALLY NEED HELP WITH THIS PROBLEM!!!
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind-reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind-reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answers
Answer:
56 underwater breathing potions.
Step-by-step explanation:
Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)
Can you simplify 10/16?
Answers
Answer:
5/8
Step-by-step explanation:
-1=(5+x)/6
Please help me
Answers
Answer:
-11
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]-1=\frac{\left(5+x\right)}{6}[/tex]
Switch sides:
[tex]\frac{\left(5+x\right)}{6}=-1[/tex]
Multiply both sides by 6:
[tex]\frac{6\left(5+x\right)}{6}=6\left(-1\right)[/tex]
[tex]5+x=-6[/tex]
Subtract 5 from both sides:
[tex]5+x-5=-6-5[/tex]
[tex]x=-11[/tex]
can u solve 0=4(x+5)+8
Answers
Answer:
0 = 4x +20 +80=2×(2x +14)0=2x+14=)2x =-14=)x =-7Answer:
x = 7
Step-by-step explanation:
0 = 4(x+5) + 8
expand:
0 = 4x + 4*5 + 8
0 = 4x + 20 + 8
0 = 4x + 28
simplify
4x = 28
simplify
x = 28 / 4
x = 7