Write the equation for line L in point-slope form and slope-intercept form
L is perpendicular to y=2x
Answers
The equation of the line in slope intercept form is y = - 1 / 2 x - 5
The equation of the line in point slope form is (y + 4) = - 1 / 2 (x + 2)
How to represent equation in slope intercept form and point slope form?
The equation in a slope intercept form is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the equation of the line L in slope intercept form.
The line L is perpendicular to y = 2x
Hence,
m₁m₂ = -1
2m₂ = -1
m₂ = -1 / 2
Therefore,
y = - 1 / 2 x + b
let's find b using (-2, -4)
-4 = - 1 / 2 (-2) + b
b = -4 - 1
b = -5
Hence, the equation of the line in slope intercept form is as follows:
y = - 1 / 2 x - 5
The equation of the line in point slope form is represented as follows:
(y - y₁) = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, using (-2, -4),
(y + 4) = - 1 / 2 (x + 2)
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Related Questions
The median home price in the United States over the period 2003-2011 can be approximated by P(t) = −5t2 + 75t − 30 thousand dollars (3 ≤ t ≤ 11), where t is time in years since the start of 2000.†
Find P'(t) and P'(7).
P'(t) =
P'(7) =
What does the answer tell you about home prices? HINT [See Example 2.]
The median price of a home was increasing at a rate of $ ___ per year in ____.
Answers
The value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.
It is given that median home price is represented by P(t) = -5t² + 75t - 30.
We have to find out the values of P'(t) and P'(7).
What is differentiation ?
Differentiation is a method in which the function's rate of change compared to the rate of change of the independent variable is calculated.
As per the question ;
The equation given is ;
P(t) = -5t² + 75t - 30
So ;
Differentiating the above equation with respect to t , we get ;
[tex]\frac{d}{dt}[/tex] (P(t)) = [tex]\frac{d}{dt}[/tex] ( -5t² + 75t - 30 )
[tex]\frac{d}{dt}[/tex] (P(t)) = P'(t) = -5 × 2 × t + 75
⇒ P'(t) = -10t + 75
And
The value of P'(7) will be ;
P'( t = 7) = -10 × 7 + 75
P'(7) = - 70 + 75
P'(7) = 5
Also ;
P(11) = 190
P(3) = 150
And
The rate of change of price will be ;
[tex]\frac{P(11) - P(3)}{11 - 3}[/tex]
= 190 - 150 / 8
= 40 / 8
= 5
Thus , the value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.
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Are the following inverses of each other?
f(x) = 5x - 3
g(x) = 2+3
O No, the composition resulted in f(g(x)) =
= x
O Yes, the composition resulted in f(g(x)) = x
O No, the composition resulted in f(g(x)) = 0
O Yes, the composition resulted in f(g(x)) = 0
and g(f(x)): =x
and g(f(x)) = x
and g(f(x)) = 0
and g(f(x)) = 0
Answers
Help me solve it please and include step by step.
Answers
The slope of the line AC is equal to the slope of the line CE.
We have the points:
A = ( - 3 , 6 )
C = ( - 1 , 3 )
Slope of AC will be:
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )
m₁ = - 3 / 2
m₁ = - 1.5
Now,
C = ( - 1 , 3 )
E = (3 , - 3)
Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )
m₂ = - 6 / 4
m₂ = - 3 / 2
m₂ = - 1.5
So, we get that:
m₁ = m₂
Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.
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Question 3
What is the smallest solution to the equation 14-5x| = 1?
0.6
0-1.0
o 1.0
O 1.6
Answers
Answer:
0.06
Step-by-step explanation:
0x x it expand almost done ✅✅✅
A 24 oz bottle of a new soda costs $3.33. What is the unit rate, rounded to the nearest tenth of a cent?
Answers
which expression is equivalent to 25s^3+12s/5s
Answers
Answer:
A
Step-by-step explanation:
1 Factor out the common term ss.
\frac{s(25{s}^{2}+12)}{5s}
5s
s(25s
2
+12)
2 Cancel s.
\frac{25{s}^{2}+12}{5}
5
25s
2
+12
The figure above is the aerial view of a parking lot
where the rectangles represent the entrances and
the circles represent the exits. What is the total 401
number of ways a driver can enter and exit this
parking lot?
A. 4
B. 7
C. 10
D. 12
Answers
Answer:
12
Step-by-step explanation:
There are 4 entrances and 3 exits, and thus 4(3)=12.
help plsssssssssssssssssssssssssssssss
Answers
Answer:
The answer is D
Intern
Kenny ran 2400 m on Monday.
He ran 511 m less on Tuesday than on Monday.
How many metres did he run altogether on both days?
Answers
Answer: 4289
Step-by-step explanation:
Total = 2400+(2400-511) = 4289
First subtract 511 from 2400 to determine how many meters ran on Tuesday, which is 1889 meters. Then add 2400 and 1889 to get you total meters for both days, which is 4289 meters.
find the measure of angle C of triangle ABC if:
Answers
Answer:
∠C = 180 - 3α
Step-by-step explanation:
The interior angles of a triangle always add up to 180°
So A + B + C = 180
C = 180 - (A + B)
= 180 - (α + 2α)
= 180 - 3α
Can someone answer these??
Answers
The principal interest formula I = Prt can be used to find the interest earned on an initial amount of money, called the
principal, P, given an interest rate, r, and an amount of time over which interest is accrued, t. Solve I = Prt for P when
I = $5,480, r = .04 annual interest, and t 7 years. Round your answer to the nearest hundredth.
PLEASE HELP GUYS
Answers
Answer:
1885.714
Step-by-step explanation:
I = ptr
5280 = 7×0.4×p
p = 5280/2.8
p = 1885.7
Complete the equation.
(8 x 3) x 3 =
× (3 x 3)
Answers
Answer:
x=0
Step-by-step explanation:
Absolute value of -3 is
Answers
Answer:
Step-by-step explanation:
The absolute value of -3 is 3.
Answer: 3
Step-by-step explanation:
−2 (x + 1/3) + 9x = 4
Answers
Answer:
X= 2/3
Step-by-step explanation:
-2(x+1/3)+9x=4
Distribute: -2x-2/3+9x=4
Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3
Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1
Divide: X=2/3 ------ 14/21÷ 7/7=2/3
X=2/3 Hope This Helps :)
Answer:
[tex] \sf \large \: x = \frac{2}{3} [/tex]
Step-by-step explanation:
−2(x+1/3)+9x=4
Step 1: Simplify both sides of the equation.
−2(x+1/3)+9x=4
(−2)(x)+(−2)(1/3)+9x=4(Distribute)
−2x+−2/3+9x=4
(−2x+9x)+(−2/3)=4(Combine Like Terms)
7x+−2/3=4
7x+−2/3=4
Step 2: Add 2/3 to both sides.
7x+−2/3+2/3=4+2/3
7x=14/3
Step 3: Divide both sides by 7.
7x/7 = 14/3/7
x=2/3
still trying to find help solving. Today is the last day, can someone help?
Answers
Answer:wow we have the same homework
Step-by-step explanation:
Mr. Arcos is opening a new restaurant. His restaurant has 8 tables with places for 4 people at each table. It also has 4 tables with places for 6 people at each table.
Today he is buying plates for the restaurant. The plates he is buying come in sets of 6 plates. How many sets of plates does he need to buy?
Answers
In the given case, we can conclude Mr. Arcos needs to buy 10 sets of plates for his restaurant.
To find out how many sets of plates Mr. Arcos needs to buy, we first need to determine the total number of people his restaurant can accommodate.
There are 8 tables with places for 4 people each, so these tables can seat a total of 8 x 4 = 32 people.
Additionally, there are 4 tables with places for 6 people each, which can seat a total of 4 x 6 = 24 people.
Therefore, the restaurant can accommodate a total of 32 + 24 = 56 people.
Since the plates come in sets of 6, we divide the total number of people (56) by the number of people served by each set (6) to find out how many sets of plates Mr. Arcos needs to buy: 56 / 6 = 9.33 sets. Since plates cannot be bought in fractions, he will need to round up to the nearest whole number. Therefore, he will need to buy at least 10 sets of plates for his restaurant.
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Which of the following is the graph of y = |x-3l?
Answers
Answer:
You only show one answer A. Lucky for you it's the correct one.
Step-by-step explanation:
What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)
A. -1
B.-9
C. 1
D. 0
E.9
Answers
This is given by the limit
[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]
Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives
[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]
so that
[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]
(A)
Elizabeth has 4 boxes of 100 toys and 3 toys that aren't in boxes. How many toys does she
have?
Answers
Answer:
Elizabeth has 403 toys.
Step-by-step explanation:
The main goal is to figure out how many toys Elizabeth has. So she has 4 boxes and each box has 100 toys. If she has 4 boxes of 100 it mean she have 400 toys but that's not the final answer. she also has 3 toys not in the boxes so we have to add that as well. So if we add 3 toys to the 400 toys we'd get a total of 403. Therefore Elizabeth has 403 toys and that would be our final answer.
I hope this helps, have a blessed day! :D
Find the probability of a point chosen at random being in the shaded area of the diagram at the right
Answers
Answer:
1/2
Step-by-step explanation: because it is shaded or not
Which of the following statements models deductive reasoning?
I own a mean cat. My friend Lisa owns a mean cat. Therefore, all cats are mean.
People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.
There has been a hurricane in Florida every August for the past two years. Therefore, there will be a hurricane in Florida in August this year.
Every test in Mr. Johnson’s class this year has been easy. Therefore the test in Mr. Johnson’s class today will be easy.
Answers
Answer:
B.
Step-by-step explanation:
Vegans by definition do not eat any products containing the meat of an animal. Therefore if Mindy truly follows a vegan diet, she would not eat steak.
Answer:People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.
Step-by-step explanation:
Because deductive reasoning is when you make an inference about something. In option 2 they are making an inference that if Mindy does not eat steak she is a vegetarian. They have come to that conclusion by inferring she is a vegetarian because she does not eat steak.
I've managed to find the area of the shape I just need help stating the units of my answer
Answers
They give you “cm” in the measurements
You are looking for cm2 or cm3?
The way I remember units (squared or cubed)
If it is two numbers multiplied it’s value is squared “X^2”
Two numbers is a two dimensional figure, it is flat <>
Example is 1/2 base x height is squared
If it is three numbers multiplied it is cubed
“X^3”
Three numbers is a three dimensional shape like a cube or
Example L x W x H is cubed
5(g + 8) - 7 = 117 - g
Answers
Answer: g=14
Step-by-step explanation:
5(g + 8) - 7 = 117 - g
5g+40-7=117-g
5g+33=117-g
6g+33=117
6g=84
g=14
[tex]5(g + 8) - 7 = 117 - g[/tex]
[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]
[tex]5g + 40 -7 = 117 -g[/tex]
[tex]6g = 117 - 40 + 7[/tex]
[tex]6g = 84[/tex]
[tex]g = 94 : 6[/tex]
[tex]g = 14[/tex]
last question is How many people carried a tablet but not a cell
phone?
Answers
Answer:
No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29
Express the ratio below in its simplest form.
15:10
Answers
Answer:
3:2
Step-by-step explanation:
Divide 15 and 10 by 5.
use the graph of the following function f(x) to find f(1)
Answers
From the graph of the function y = x - 1, it is found that f(1) = 0.
What is the missing information?This problem is incomplete, but researching it on a search engine, it gives us the graph of the function y = x - 1.
How to find the numeric value of a function given a graph?To find the numeric value of a function at x = a, we have to check the value of the horizontal axis when the vertical axis is of a.
For this problem, we want the numeric value at x = 1, hence, when the horizontal axis is of 1, the vertical axis is of 0, hence f(1) = 0.
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solve for x 3x + 6y = 9
Answers
Hope this helps!
C) g(x) = (4-5x)²
If it’s even or odd
Answers
Answer:
odd
Step-by-step explanation:
the answer is odd, my dead grandma just finished this question since she failed 7th grade.
28/48 simplified how do you simplify????????????????????
Answers
Answer: 14/24 or 7/12
Step-by-step explanation: keep on dividing 2 or just divide by 4