Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5
Answers
Answer:
a.-8x-12y
Step-by-step explanation:
i hope it will help u
The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
The equation of the line below which is given in the question
4x - 3y = 8
We have to determine which is perpendicular to the given equation of the line
First, we need to find the slope of the given equation.
4x - 3y = 8
- 3y = - 4x + 8
Divided by -3 into both sides of the above equation,
y = (- 4/-3)x + 8/(-3)
y = (4/3)x - 8/3
Comparing the above equation with the standard form of line y = mx + b
Here m is the slope of the line, in this case, m = 4/3.
As per option (C),
- 3y = 8 + 4x
Divided by -3 into both sides of the above equation,
y = - 4/3x - 8/3
Here the slope of this line is - 4/3
Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.
Hence, the correct answer would be option (C).
Learn about the perpendicular lines here :
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Related Questions
which of the following are exterior angles?
Answers
Answer:
A, B, E
Step-by-step explanation:
Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.
A car travelling at v kilometers per hour will need a stopping distance, d, in meters without skidding that can be modelled by the function d=0.0067v2+0.15v. Determine the speed at which a car can be travelling to be able to stop within 37m.
I’m need of serious help!
Answers
Answer:
v = 14 km/h
Step-by-step explanation:
d = 0.0067[tex]v^{2}[/tex] + 0.15v
differentiate the function with respect to v to have;
d = 0.0134v - 0.15
given that the distance without skidding = 37 m (0.037 km) , then;
0.037 = 0.0134v - 0.15
0.0134v = 0.037 + 0.15
= 0.187
v = [tex]\frac{0.187}{0.0134}[/tex]
= 13.9552
v = 14 km/h
The speed of the car travelling would be 14 km/h to be able to stop within 37m.
Find the special product:
(r + 5)^2
Answers
Answer:
i am not sure about this answer but i got r^2+10r+25
The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.
Answers
Answer:
Another example of a number who's square root is greater than the number is [tex]\sqrt{0.49}[/tex] which is 0.7
Step-by-step explanation:
This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.
15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.
Answers
Answer:
D
Step-by-step explanation:
[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]
Find the value of x.
A. 99
B. 9
C. 90
D. 11
ILL GIVE BRAINLIEST
Answers
Answer:
B) 9
Step-by-step explanation:
Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:
5x - 9 + 6x = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 9
Answer:
B.9
Step-by-step explanation:
The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.
which of the following equations have complex roots?
Answers
9514 1404 393
Answer:
B. 3x² +2 = 0
Step-by-step explanation:
The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)
__
The equation of B can be rewritten as ...
x² = -2/3
This will have complex roots.
__
The discriminants of both equations C and D are positive, so those have only real roots.
2x² -5x -1 ⇒ d = (-5)² -4(2)(-1) = 33
3x² -6x -1 ⇒ d = (-6)² -4(3)(-1) = 48
Help me please please help me please
Answers
Answer:
the first one...
the cost of renting the ally for 14 hours
Step-by-step explanation:
Answer:
the first one
the number of dollars it costs to rent the bowling lane for14 hours
Given: -1/2 x > 6.
Choose the solution set.
A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}
Answers
Given: -1/2 x > 6
Solving It:--1/2 x > 6
x > -6×2
x > -12
So The Correct Solution Set Will Be
A. {x | x R, x > -12}Hope This Helps YouA bus has less than 42 seats. If 36 seats are already occupied, write an
inequality representing the possible number of passengers that can be
added to the bus.
A.) x - 36 < 42
B.) x + 36 < 42
C.) x - 36 > 42
D.) x + 36 > 57
Answers
Answer:
B
Step-by-step explanation:
A x - 36 <42 is wrong because its saying how many can be added
B x +36 < 42 this one is most likely correct because its displays x as how many can be added
C x - 36 > 42 this is wrong because the bus has less than 42 seats
D x + 36 >57 like i said cant be over 42
The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.
What is inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.
How to form the given inequality equation ?Let x be the number of passengers that can be added to the bus.
It is given that the bus has less than 42 seats and 36 seats are already occupied.
The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.
Therefore the inequality equation becomes,
x + 36 < 42.
Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.
To learn more about inequality equation, refer -
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1,4,9 find the fifth pattern
Answers
Answer:
1, 4, 9, 16, 25
Step-by-step explanation:
The pattern increases by an odd number. It can be seen that;
n²
for the first pattern
1²=1
for the second pattern
2²=4
for the third pattern
3²=9
for the forth pattern
4²=16
for the fifth pattern
5²=25
If XZ = 46 and WR = 21, find WX.
Answers
Answer:
[tex]WX=\sqrt{970}[/tex]
Step-by-step explanation:
The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.
In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].
The segment we're being asking to find, WX, marks the hypotenuse of the triangle.
Therefore, substitute our known information into the Pythagorean Theorem:
[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]
Answer:
WX= 31.14
Step-by-step explanation:
Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]
XR=23 by taking half of 46
[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]
sqrt both sides to get your answer of 31.14
40 points Please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches
Answers
Answer:
V = 24.28 in ^3
Step-by-step explanation:
The area of the base is
A =5/2 × s × a where s is the side length and a is the apothem
A = 5/2 ( 2.13) * .87
A = 4.63275
The volume is
V = Bh where B is the area of the base and h is the height
V = 4.63275 ( 5.24)
V =24.27561 in^3
Rounding to the hundredth
V = 24.28 in ^3
WILL GIVE BRAINLIEST, HELP QUICK!!
Answers
It is A because it is 4 units squares away so it has to be A.
Hope this helps :))))
Answer:
the answer is 5 units
Step-by-step explanation:
You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2
Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0
Answers
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.
Answer:
Discriminant: -23
Number of real roots: 0
Step-by-step explanation:
For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].
In [tex]x^2+3x+8[/tex], assign:
[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]The discriminant is therefore:
[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]
For any quadratic:
If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real rootsSince the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.
Which pair shows equivalent expressions?
O 2x+10=-2(x-5)
O-2(x+5)=2x-10
0 -2x-10=-2(x+5)
O -2(x-5)=-2x-10
Answers
Answer:
O-2(x+5)=2x-10
Explanation
O-2(x+5)=2x-10
SOLUTION
-2x(x)= -2x
-2x+5 = -10
Find the line’s slope and a point on the line
Y-4=-3/4(x+5)
Answers
Answer:
The slope is -3/4 and a point on the line is (-5,4)
Step-by-step explanation:
This equation is in point slope form
y -y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
Y-4=-3/4(x+5)
Y-4=-3/4(x - -5)
The slope is -3/4 and a point on the line is (-5,4)
What is “8 - 4(-x + 5)” equivalent too?
Answers
Answer:
4x -12
Step-by-step explanation:
8 - 4(-x + 5)
Distribute
8 -4(-x) -4(5)
8 +4x -20
4x -12
answer 4( - 3 + x)
factor expression 4(2 - ( - x + 5)4(2 + x - 5)answer
[tex]4( - 3 + x)[/tex]
simplify the expression[tex]8 - 4( - x + 5)[/tex]
answer
[tex] - 12 + 4x[/tex]
i’m having trouble with this question. if anyone can answer it would mean a lot
Answers
Answer:
Step-by-step explanation:
x = - 48/-8 = 6
c = c^2/c^1 = c^(2-1) = c^1
d = d^4 / d^1 = d^(4 - 1) = d ^3
x = 6
e = 1
f = 3
What is the simplest version of 9/16×4/18
Answers
Answer:
1/8
Step-by-step explanation:
9/16 * 4/18
Rewriting
9/18 * 4/16
9/18 = 1/2 and 4/16 = 1/4
1/2 * 1/4
1/8
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]
[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]
9 is subtracted from 5 times 3 and 10 is added
Answers
-16
Step-by-step explanation:
9 - 5 x 3 + 10
9 - 15 + 10
9 - 25
-16
Find the area of the image below
Answers
Answer:
0 because there is no image....
Can someone help me with this math homework please!
Answers
1. a= 19
2.2 ( second option)
3.C
4D
I will give brainliest if correct!!! Please show work so I know how to do it. :)
12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).
A. 0.1518
B. 1.4649
C. 1.2138
D. 0.2625
E. 0.5341
F. 2.6252
Answers
Answer:
.2625
Step-by-step explanation:
logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271
logb(5/3)
We know that logx ( y/z) = logx (y) - logz (z)
logb ( 5) - logb(3)
0.8271 - 0.5646
.2625
Answer:
F. 2.6252
Step-by-step explanation:
0.8271 - 0.5646
Please help me Find PA.
Answers
Two corresponding sides of similar triangles have the lengths 6 cm and 16 cm. What is the ratio, expressed as a decimal?
Answers
Answer: 16:81
Step-by-step explanation:
P(x) = 1 – 2x2 – 3x3 + 4x has what order?
Answers
Answer:
3
Step-by-step explanation:
assuming you forgot you ^ mark after x x^3 would be the highest x order here making it the order for the equation.
help please like PLEASE ASAP
Answers
Answer:
1/5^5
Step-by-step explanation:
Flip the equation into a fraction.
:>
Complete this equations,( show your work).
* I re-wrote some of the questions below them so u can read ' em better. ty
Answers
Answer:
21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]
22 is: 4 [tex]\frac{39}{44}[/tex]
23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]
24 is: [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]
Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)
Find the area to the left of z = 0.25.
A. 0.6012 B. 0.5987 C. 0.4013 D.0.3988
Answers
Answer:
.5987
Step-by-step explanation:
Use a ztable and find .25 (pic below)
