Find the equation of line b described below, in slope-intercept form
Line a is perpendicular to line b
Line a passes through the points (1,-8) and (9,-12)
Line b passes through the point (-8, -16)
The equation of line b is y= ______
Given:
Line a is perpendicular to line b .
Line a passes through the points (1,-8) and (9,-12) .
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]
[tex]m_a=\dfrac{-12+8}{8}[/tex]
[tex]m_a=\dfrac{-4}{8}[/tex]
[tex]m_a=-\dfrac{1}{2}[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_a\times a_b=-1[/tex]
[tex]-\dfrac{1}{2}\times a_b=-1[/tex]
[tex]b=2[/tex]
Slope of line b is 2.
If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
Line b passing through (-8,-16) with slope 2. So, equation of line b is
[tex]y-(-16)=2(x-(-8))[/tex]
[tex]y+16=2(x+8)[/tex]
[tex]y+16=2x+16[/tex]
Subtract 16 from both sides.
[tex]y=2x[/tex]
Therefore, the equation of line b is [tex]y=2x[/tex].
A group of people were asked if Marilyn Monroe had an affair with JFK. 184 responded "yes", and 387 responded "no". Find the probability that if a person is chosen at random, the person does NOT believes Marilyn Monroe had an affair with JFK.
Probability (round to 4 decimal places)
Answer:
0.6778 to 4 dec. places.
Step-by-step explanation:
That is 387 / (184+387)
= 387 / 571
= 0.677758
Which expression is equivalent to 16.8 - 18.616.8−18.616, point, 8, minus, 18, point, 6? Choose 1 answer: Choose 1 answer: (Choice A) A 16.8-(-18.6)16.8−(−18.6)16, point, 8, minus, left parenthesis, minus, 18, point, 6, right parenthesis (Choice B) B -18.6+(-16.8)−18.6+(−16.8)minus, 18, point, 6, plus, left parenthesis, minus, 16, point, 8, right parenthesis (Choice C) C 18.6-16.818.6−16.818, point, 6, minus, 16, point, 8 (Choice D) D 16.8+(-18.6)16.8+(−18.6)
Given:
The expression is
[tex]16.8-18.6[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]16.8-18.6=-1.8[/tex]
In option A,
[tex]16.8-(-18.6)=16.8+18.6[/tex]
[tex]=35.4\neq -1.8[/tex]
In option B,
[tex]-18.6+(-16.8)=-18.6-16.8[/tex]
[tex]=-35.4\neq -1.8[/tex]
In option C,
[tex]18.6-16.8=1.8\neq -1.8[/tex]
In option D,
[tex]16.8+(-18.6)=16.8-18.6=-1.8[/tex]
Only the value of the expression in option D is equal to the value of given expression.
Therefore, correct option is D.
Please help me with this
Answer:
B.
[tex](x + 2) ^{3} - 9 [/tex]
Does anybody know the answer :D
I would say line graph
because many charts and graphs that use time, like years, use line graphs.
One example of this is the stock market, the stock market uses line graph, and I think the best option here is a line graph.
Answer: Line Graph
A line graph would best represent this data because you recording change over time (results from 1972-2008).
HELPS ME SOLVE THIS PROBLEM PLEASE
Answer:
The third answer, y = 4x + 1
Step-by-step explanation:
Let's take the pair x = 2, and y = 9.
We know what x is, and what the result, y, is now.
Let's plug x into the third equation, y = 4x + 1
y = 4 * 2 + 1
y = 8 + 1
y = 9
We already know that y = 9, so this equation is correct.
Hope this helps!
(Let me know if you want to know why it's not any of the others.)
Rena's grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown. A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent. How much will Rena have in this account after 4 years? Enter the correct answer in the box.
Answer:
$3,955
Step-by-step explanation:
Given that:
Initial deposit = $3500
Simple rate of interest = $3.25%
Number of years = 4
Simple interest = (principal * rate * time)
Principal = Initial deposit = $3500
Interest = $3500 * 3.25% * 4
Simple Interest = $455
Amount that will be in account after 4 years :
$3500 + $455 =$3955
Which of the following expression are equivalent to -11/4?
Answer:
B
Step-by-step explanation:
The equivalent expression to - 11/4 is, - (-11/-4).
Option B is true.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ - 11/4
Now, By option B;
The number is,
⇒ - (- 11/ - 4)
Multiply by - 1 in denominator and numerator,
⇒ - (- 1 × - 11 / - 1 × - 4)
⇒ - (11/4)
⇒ - 11/4
Thus, The equivalent expression is, - (-11/-4).
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ2
The complete question is this,
Which of the following expression are equivalent to -11/4?
A) - (11/ - 4)
B) - (-11/-4)
C) None of these
Which number line shows the solution to -6 -(-2)
Answer:
2nd one
Step-by-step explanation:
Answer:
the first option
Step-by-step explanation:
-6 -(-2) can also mean -6+2 because the (-) in that equation can also mean -1, so a negative time a negative is a positive.
so, there is -6 and ur adding 2 to it, which is -4
Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7: 1. If the same number of boys and girls were surveyed, and 90 boys enjoy soccer, how many girls enjoy each sport?
Ratio of boys who liked soccer to boys who liked basketball = 3:5
Given :-
Number of boys who enjoyed soccer :-
[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]
Total number of boys who were surveyed were equal to the total number of girls who were surveyed .
Which means :-
Let the total number of boys who were surveyed be x .
Total number of boys =
[tex] = \frac{3}{8} \times x = 90[/tex]
[tex] = x = 90 \div \frac{3}{8} [/tex]
[tex] = x = 90 \times \frac{8}{3} [/tex]
[tex] = x = \frac{720}{3} [/tex]
[tex]\color{hotpink}x =\color{hotpink} 240[/tex]
Which means a total of 240 boys were surveyed .
Number of boys who liked basketball :-
[tex] = \frac{5}{8} \times 240[/tex]
[tex] = \frac{1200}{8} [/tex]
[tex]\color{hotpink} = 150 \: \: boys[/tex]
Which means a total of 150 boys liked basketball .
Number of girls who liked soccer :-
[tex] = \frac{7}{8} \times 240[/tex]
[tex] = \frac{1680}{8} [/tex]
[tex]\color{hotpink} = 210 \: \: girls[/tex]
A total of 210 girls enjoyed soccer .
Number of girls who enjoyed basketball :-
[tex] = \frac{1}{8} \times 240[/tex]
[tex] = \frac{240}{8} [/tex]
[tex]\color{hotpink} = 30 \: \: girls[/tex]
A total of 30 girls like basketball .
Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .
The current temperature in Smalltown is 13° F. This is 7 degrees less than twice the temperature that it was six hours ago. What was the temperature in Smalltown six hours ago?
Answer:
I Pretty sure it's 3
Step-by-step explanation:
13-7=6
6 divided by 2= 3
Porque el valor absoluto de 0 es 0?
Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line 3x - 5y = 6.
y =
Answer:
y = -5/3x - 6/5
Step-by-step explanation:
Brainliest pls
select all of the following expressions that are equivalent to 9 1/2
(1) 3 1/2 * 3 1/2 (2) sqrt[6]{27} (3) 27 1/3 * 3 1/2 (4) 81 1/2 * 81 1/2 (5) 729 1/6 (6) 81 1/3 * 81 1/3 (7) 81 1/4 * 81 1/4
(1)
(3)
(4)
I think im sorry if im wrong too
When x = -3, then y = ?
Step-by-step explanation:
the answer is y=-6 when x=-3
Victoria has $30 to spend at the fair. Admission cost $7. Ride tickets cost $0.75 each.
Write and solve an inequality that represents the number of ride tickets, she can purchase.
(5 points)
Step-by-step explanation:
30-7=23 dollars remained
let x be the tickets number
so 0.75*x=23
x=23/0.75
x=31 at least.
Solve for x when 4x+x+2=10x−13
Answer:
x = 3
Step-by-step explanation:
First lets add 4x + x so that we can get one x value on that side of the equation.
4x + x + 2 = 10x - 13
5x + 2 = 10x - 13
Then we can solve for x from there
5x + 2 = 10x - 13
-5x + 2 = -13 [Subtract 10x from both sides of the equation]
-5x = -15 [Subtract 2 from both sides of the equation]
-x = -3 [Simplify]
x = 3 [Simplify]
Hope this helps! I apologize if I got this incorrect
Answer: x = 3
Steps: 4x + x + 2 = 10x - 13
Combine like terms: 5x + 2 = 10x - 13
Subtract 2 from both sides: 5x + 2 - 2 = 10x - 13 - 2
Simplify: 5x = 10x - 15
Subtract 10x from both sides: 5x - 10x = 10x - 15 - 10x
Simplify: -5x = -15
Divide both sides by -5: -5x ÷ -5 = -15 ÷ -5
Simplify: x = 3
Plz mark brainliest:)
5x + 8 - 7x = -4x + 1
Choose 1 answer:
А
No solutions
Exactly one solution
Infinitely many solutions
Step-by-step explanation:
5x+8-7x=4x+1
5x+7x-4x=8+1
8x=9
helpppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pleaseeeeeee
Answer:
Step-by-step explanation:
y= money earned , x is the number of hours
k is the constant=y/x=12
a- y=12 xb- if she worked 18 hours:
y=12(18)
y=216 dollarsc- if she earned 330 dollars:
330=12x
x=330/12
x=27.5 hours2.5(4+2/5)=-13 how do I solve this
Answer: You add 4+2/5 then multiply it times 2.5
Step-by-step explanation:
If you Evaluate it your answer will be: 11 = -13
a and b are positive numbers.
a is inversely proportional to b.
when a=4,b=36
find value of a when b=a
Answer:
a = 12
Step-by-step explanation:
Given that a is inversely proportional to b then the equation relating them is
a = [tex]\frac{k}{b}[/tex] ← k is the comstant of proportion
To find k use the condition when a = 4, b = 36, then
4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
144 = k
a = [tex]\frac{144}{b}[/tex] ← equation of proportion
When b = a , then
a = [tex]\frac{144}{a}[/tex] ( multiply both sides by a )
a² = 144 ( take square root of both sides )
a = ± [tex]\sqrt{144}[/tex] = ± 12
However a is a positive number, thus a = 12
Jackson was solving the problem below for k. However, he made a mistake.
19 - 2k = 3k - 1
+3k +3k
19 +1k = -1
-19 -19
k = -20
Part A: Identify the FIRST mistake Jackson made.
Part B: Solve for k.
Which ordered pair is a solution to the system of inequalities
Y<3x-1
Y>|x-2|
A. (-2,0)
B. ( 0,1)
C. (4,4)
D. (3,-1)
please help me with this
Answer:
its yes
I'm fighting ransome cuz I need at least 20 characters
Lines s, t, and u are perpendicular bisectors of the sides of APGH and meet at J. If JG - 2x+ 2, JH - 2y-4, JF-8 and
HI - 32-3, find x, y, and z.
Ox= 5, y = 2, z = 2
O x = 2, y = 7,2 = 2
x = 3, y = 6,2 = 4
x = 6.) = 3,2 = 4
Answer:
x = 3, y = 6, z = 4
Step-by-step explanation:
If lines s, t, and u are perpendicular bisectors of the sides of APGH and meet at J, then JG = JH = JF = HI
Given
JG - 2x+ 2
JH - 2y-4
JF-8 a
HI - 3z-3,
Hence 2x+2 = 2y-4 = 3z-3 = 8
This means that
2x+2 = 8
2x = 8-2
2x = 6
x = 3
Also, 2y-4 = 8
2y = 8+4
2y = 12
y = 6
And 3z-3 = 8
3z = 8+3
3z = 11
z = 11/3
z = 3.67 ≈ 4
Hence x = 3, y = 6,z = 4
Find the measures of the interior angles and please tell me all angles
Please help me with this one I rly need it.ill give you Brainly if I can. 567/9
Answer:
66.3333333333 depending on the decimal point you'd go to
what is the slope of the line y= 20x
Answer: The Slope is 20
Step-by-step explanation:
M A T H W A Y . C o M
Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons. (a) How many gallons does each tower contain after 5 minutes? Show your work. (b) Let m be the number of minutes it takes for the two towers to contain the same number of gallons. Set up and solve an equation for m. PLEASE HELP
Answer:
Tower 1=1550 gal after 5 min
Tower2=470 gal after 5 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
After 5 minutes, the amount of water that has flowed is ...
(20 gal/min)(5 min) = 100 gal
That amount has flowed out of Tower #1, so it now has ...
1650 -100 = 1550 . . . gallons in Tower #1
That amount has flowed into Tower #2, so it now has ...
570 +100 = 670 . . . gallons in Tower #2
Find the rate of change from the given table