Answer:
y = 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y - 12 = 0 ( subtract x - 12 from both sides )
2y = - x + 12 ( divide terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x + 6 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
------------------------------------------
To find the x- intercept let y = 0 in the equation and solve for x
3x - 2(0) + 12 = 0
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
Then x- intercept at (- 4, 0 )
Then
y = 2x + c ← is the partial equation
To find c substitute (- 4, 0) into the partial equation
0 = - 8 + c ⇒ c = 0 + 8 = 8
y = 2x + 8 ← equation of perpendicular line
A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?
Answer:
10 people can go to the amusement park
Step-by-step explanation:
363 - 5.50 = 357.5
357.5 / 35.75 = 10
Helpppppppppppppp!!!!!!!!!
Answer:
both 2 and -2
Step-by-step explanation:
Substitute 4 for r(x) on the given equation.
[tex]4=x^2[/tex]
[tex]\sqrt{4} =\sqrt{x^2}[/tex]
[tex]x=2[/tex]
[tex]x=-2[/tex]
What is the solution to the system of equations graphed below
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 1 ) ← solution → A
CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?
Which equation represents "the sum of eight times a number and seven is twice the number"?
8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?
Answer:
4.50+.75d=7.50+.65d
Step-by-step explanation:
Y=4.50+.75d equation 1
y=7.50+.65d equation 2
4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1
.10d=3.00 simplify equation
d=30
check answer by subbing 30 for d into each equation.
y=4.50+.75(30)
y=4.50+22.50
y=27
y=7.50+.65(30)
y=7.50+19.50
y=27
both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?
Answer:
2 boys and 3 girls were selected for the finals.
There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.
We want to find the probability that a boy wins the prize B.
So here we have two cases:
A girl wins the first prize, A, and a boy the prize B.
The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:
p = 3/5
Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).
q = 2/4
The joint probability is:
P = p*q = (3/5)*(2/4) = 6/20 = 3/10
Now we have the other case, where a boy wins the prize A and the other boy wins prize B.
The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:
p = 2/5
The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:
q = 1/4
The joint probability is:
P' = p*q = (2/5)*(1/4) = 2/20 = 1/10
The total probability is the sum of the probabilities for the two cases, this is:
Probability = 1/10 + 3/10 = 4/10
(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)
I will give Brainly
What is 3x^2 - 5x^3 (5 + 7)?
Answer:
-60x^3+3x^2
Step-by-step explanation:
I need a brainly please
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
HELP PLEASE, AND FAST THANKS
Answer: U'(1,7) G'(7,1)
Find the area of the shaded sector
Answer:
888
Step-by-step explanation:
Im pretty sure this is the answer, if helpful please mark me as brainiest :>
Someone help me with these :( hurry pls
Answer:
1) "fake numbers" do not exist but there are irrational numbers
2) We have negative numbers to help us understand the number system better. We need negative numbers in graphing.
Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
cual es el perimetro de 12 cm de ancho y 22 de largo
es para hoy
Answer:
Perimeter of figure = 68 centimeter
Step-by-step explanation:
Given information:
Width of side = 12 centimeter
Length of side = 22 centimeter
Find:
Perimeter of figure
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of figure = 2[Width of side + Length of side ]
Perimeter of figure = 2[12 + 22]
Perimeter of figure = 2[34]
Perimeter of figure = 68 centimeter
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
In an analysis of variance problems,there are 3 treatments and 10 observations per treatment,the sum of squares for the error is 399.6.What is the mean square for the error for this situation
Answer:
The answer is "14.8".
Step-by-step explanation:
[tex]n = 30\\\\ k = 3\\\\dfE = n-k \\\\[/tex]
[tex]= 30-3 \\\\= 27[/tex]
[tex]SSE = 399.6 \\\\MSE = \frac{SSE}{dfE}[/tex]
[tex]= \frac{399.6}{27} \\\\ = 14.8[/tex]
what similarity statement can you write relating the three triangles in the diagram?
Answer: Option C, UVW ~ UWT ~ WVT
if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
Find the value of x.
x= 13.3
ajfalbfljhbfljahbfljhwbfr
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y intercept at 0,3
Answer:
Line AB
Step-by-step explanation:
The line is on crosses thru the exact points so its right.
Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).
Answer:
[tex]y=-x+16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-1x+b\\y=-x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in the given point (7,9) and solve for b
[tex]9=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]9+7=-7+b+7\\16=b[/tex]
Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+16[/tex]
I hope this helps!
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
If 3 is added to three quarters of certain number,the result is 30.Find the original number If 3 is added to three quarters of a certain number, the result is 30. Find the original number
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]3+\frac{3}{4}x=30[/tex]
Therefore
Making x subject
[tex]x=\frac{4}{3}(30-3)[/tex]
[tex]x=\frac{4}{3}(27)[/tex]
[tex]x=36[/tex]
order from least to greatest : 15%,0.015,1/5
Answer:
the order from least to greastest is 0.015,15%,1/5
Step-by-step explanation:
If helps mark as Brainllest!!!
How many solutions exist for the system of equations below?
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35
Answer:
its 10 because chu papi munenu
what is the answer to this math question?
Answer:
answer is 230
Step-by-step explanation:
they need more than 800 so u take 800-571 which is 229 u then add one because u need at least one more than 800 which is 230.
Answer:
230.
Step-by-step explanation:
You need more than 800 so you take 800 and talk away 71 which is 229, and then add 1 because you need at least one more than 800 , and you get an answer 230.
