Given:
The equation of line is
[tex]y=-\dfrac{1}{2}(x-18)[/tex]
The perpendicular line intersect the y-axis at (0,-1).
To find:
Equation of perpendicular line.
Solution:
Point slope form of a line is [tex]y-y_1=m(x-x_1)[/tex], where m is slope.
We have,
[tex]y=-\dfrac{1}{2}(x-18)[/tex]
Thus, the slope of this line is [tex]m_1=-\dfrac{1}{2}[/tex].
Product of slopes of two perpendicular lines is -1.
Let the slope of perpendicular line is [tex]m_2[/tex]. Then,
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{1}{2}\times m_2=-1[/tex]
[tex]m_2=2[/tex]
Slope of perpendicular line is 2 and it passes through (0,-1). So, the equation of perpendicular line is
[tex]y-(-1)=2(x-0)[/tex]
[tex]y+1=2x[/tex]
[tex]y=2x-1[/tex]
Therefore, equation of perpendicular line is [tex]y=2x-1[/tex].
What is the y intercept of the line?
Answer:
It's 1
Step-by-step explanation:
Answer:
1
it passes the y axis at 1
Is the following number rational or irrational?
9.0
A: rational
B: Irrational
Answer:
Rational
Explanation:
9 is a Rational Number
help as soon as possible Thank yu!!!!!
Answer:
I think 10??"
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
PLEASE HELP 100 POINTS
1. Rewrite both and from standard form into vertex form. Explain your process. HINT: Each
function has a common factor. Start by dividing it out.
2. State the vertex of each function. What does each vertex represent in context of The Twist?
3. Compare the a-value of to the a-value of the parent quadratic function. What effect does this
value have on a parabola?
4. Sketch both of the functions and on a single xy-plane. Describe the steps you took to create
your sketch.
5. use the vertex forms of and the sketch you created in question for to describe the track changes that occur when the function that represents The climb hill is altered from two do you think these changes will help younger riders better enjoy the twist? explain.
Answer:
Rewrite both and from standard form into vertex form.
f(x)=(0.10x+18)^2-5.64
g(x)=(0.03x+0.81^2-7.5261
(18,30) (27,15)
the a-value of the parent quadraic function affects the parabola by it open downwards
Step-by-step explanation:
what is the parallel slope intercept form?
Answer:
slope intercept form is y=mx+b
a line parallel to y=-1/5x-1 is any line with the same slope but different y intercept. for example y=-1/5x+1
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Answer:
the answer is 4
Step-by-step explanation:
3x-2y=1 ...Equation 1 -2x+3y=2 ...Equation 2 Solve this equation. Answer of x should be 3.5 or 7/2 and answer of y should be 4
Answer:
x = 7/13, y = 8/26
Step-by-step explanation:
3x-2y=1 ...Equation 1 -2x+3y=2 ...Equation 2 Solve this equation.
3x - 2y =>1.....Equation 1
2x + 3y => 2......Equation 2
We solve using Elimination
We multiply Equation 1 by 3 and Equation 2 by 2 to Eliminate y
9x - 6y => 3.....Equation 4
4x + 6y => 4.......Equation 5
We Add Equation 4 and 5
13x = 7
x = 7/13
We substitute 7/13 for x in Equation 1
3x - 2y =>1.....Equation 1
3(7/13) - 2y => 1
21/13 - 2y = 1
21/13 - 1 = 2y
y =>21/13 - 1/2
y => 8/13 ÷ 2
y = 8/13 × 1/2
y = 8/26
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
3/2
Step-by-step explanation:
Write the point-slope equation of the line that passes through (7,3) whose
slope is 2.
Answer:
y - 3 = 2(x - 7).
Step-by-step explanation:
The point-slope form is
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.
So the answer is:
y - 3 = 2(x - 7).
Find the equation of the line, given the following information:
Passes through (1.4) and is parallel to y = 2x + 6.
PLS HLP!!! For two arcs to be congruent, what conditions must be met? Check all that apply A. they must be in the same circle or congruent circles B. they must have the same central angle measures C. they must overlap D. One must be a major arc and the other a minor arc
Answer:
B
Step-by-step explanation:
Must be have the same central angle measure
Must be in the same circle or congruent circles
If f=3,8 = 5, h= 10 find the value of
2f-g + h
At 425 feet tall, the Orlando Starflyer is one of the tallest structures in Florida and the tallest Starflyer in the world, standing 25 feet higher than the Orlando Eye on International Drive. The image below shows the position of one swing at two different speeds. Which rider, A or B, is farther from the base of the swing tower?
Answer: Rider B is farther from the base of the Starflyer by the Hinge Theorem
Step-by-step explanation:
b = 2
C = 3
(24 - b) + C = _
Answer:
24-b+c
Step-by-step explanation:
Find an equation of the line that passes through the point (2, -8) and is perpendicular to the line 2x-6y=10
9514 1404 393
Answer:
3x +y = -2
Step-by-step explanation:
First of all, it is helpful to put the given equation in standard form. We can do that by dividing it by 2 to eliminate the common factor from the numbers.
x -3y = 5
Next, since you want the perpendicular line, you can swap the coefficients of x and y, and negate one of them. This can give you ...
3x +y = (some constant)
The constant will be found using the given point.
3x +y = 3(2) +(-8) = -2 . . . the perpendicular line
An equation is ...
3x +y = -2
How do I solve this equation?
Answer:
x=4,-3
step-by-step
If y varies directly as x and y=15 when x =5, what is the value of y when x = 15?
Explain why a +b=d.
Answer:a + b + c = 180 ( sum of angles in a triangle )
c + d = 180 ( adjacent angles are supplementary ), thus
a + b + c = c + d ( subtract c from both sides )
a + b = d
Step-by-step explanation:
Water flows through a pipe at a rate of 10 gallons per minute. How many gallons of water flow through the pipe in an hour?
Answer: 600 :)) bc yeah if u do things it works and ima :) now :))
write an equation in slope intercept form m=2,(3,1)
First, we must find the y-intercept of the line given the slope and a point on the line and pluging it into slope-intercept form*.
[tex]1 = 2(3) + b\\\\1 = 6 + b\\\\-5 = b[/tex]
Now that we have the y-intercept, we can create the equation of this line.
[tex]y = 2x - 5[/tex]
*Slope-intercept form: y = mx + b ← y-intercept
↑
slope
You bought a magazine for $3.75 and some notepads for $2 each. You spent a total of $17.75. How many notepads did you buy?
our equation is 17.75-2x (17.75 is our total, 2 is the price of one notepad, and x is how many we bought, aka what were solving for)
The required number of notepads purchased is given as 7.
Given that,
You bought a magazine for $3.75 and some notepads for $2 each. You spent a total of $17.75, how many notepads did you buy is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
let the number of the notepads purchased be x,
According to the question,
3.75 + 2x = 17.75
2x = 17.75 - 3.75
x = 14/2
x = 7
Thus, The required number of notepads purchased is given as 7.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ2
Is the decimal terminating or repeating?
0.3
Answer:
depends if it keeps going then it would be repeating since it is not it terminates(stops)
Step-by-step explanation:
A credit card company uses your average daily balance to compute your finance charge. You charge $100 on May 2 and $200 on May 20. What is your average daily balance? If the APR on this credit card is 18%, what would the finance charge be for May?
Answer:
$2.66
Step-by-step explanation:
Since there are 31 day sin May, and the question doesn't specify any fixed billing cycle, we must calculate the billing cycle using 31 days:
Average daily balance = [($0 x 1) + ($100 x 19) + ($300 x 12)] / 31 days = $5,500 / 31 = $177.42
finance charge for the month of May = average daily balance x APR/12 = $177.42 x 18%/12 = $177.42 x 1.5% = $2.66
Some credit cards use fixed billing cycles, e.g. 30 days for every month, but if we are not given that information we have to assume that the billing cycle starts in day 1 and ends in the last day of the month.
What is the slope of a perpendicular line to 3.2 + 4y = 9?
i need help with its slope practice
Answer:
m = -1
Step-by-step explanation:
Every week Kabore gets paid $100 plus 5% of his sales. How much does he need to sell if he wants to make $700 this week?
Answer:
$12,000
Step-by-step explanation:
Kabore wants to make $700 this week. We can subtract 100 from that amount because his base pay is $100.
700 - 100 = 600
This leaves us with 600. Kabore has to make $600 from his sales. However, he only gets paid 5% of his sales. So, 600 is worth 5% of his sales. This can be represented in an equation, where x represents his sales and 0.05 is 5% in decimal form:
[tex]\frac{600}{x}[/tex] = 0.05
Multiply both sides of the equation by x to isolate it on one side:
600 = 0.05x
Divide both sides by 0.05 to find the value of x:
12000 = x
Kabore needs to sell $12,000 worth of product if he wants to make $700 this week.
Hope this helps :)
which two integers is square root 102 between? please help
Answer:
-50 and -52
Step-by-step explanation:
An even number can be generally expressed by 2n. So the sum of an even and its consecutive it's expressed by 2n+2n+2 this must be equal to -102. So we have to solve the nearly trivial equation 4n+2=−102 that solved gives n=−26. This means that the two numbers are
2⋅(−26)=−52 and 2⋅(−26)+2=−50
Solve for x
0.25x=10
Answer
40
Step-by-step explanation:
Find the slope and the y-intercept of the graph of the linear equation y=−17x+2.
Answer:
The slope is -17 and the y-intercept is 2.
Step-by-step explanation:
Answer:
y
=
17
x
2
−
37
2
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
17
2
b
=
−
37
2
The slope of the line i
Step-by-step explanation:
Mr. Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet?
