Answer:
[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]
Step-by-step explanation:
Given that the reference line is y = 2x - 3, with a slope of [tex]m_{reference} \ = \ 2[/tex].
We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,
[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].
Thus,
[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]
Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is
[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]
Simplify
−
2
x
×
3
x
×
−
x
Answer: 6x^3
Step-by-step explanation:
72 is what percent of 36
Use the distributive property to write an experssion that is equalent to 10+15x
Answer:
5(2+3x)
Step-by-step explanation:
5 x 2 = 10
5 x 3x = 15x
10+15x
(PEMDAS)
Answer:
Step-by-step explanation:
im a boy
What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard
Answer:
Option A is the correct answer
Step-by-step explanation:
We know that
1 yard = 3 foot
1 foot = 12 inch
1 yard = [tex]3\times12[/tex] inches
[tex]=36[/tex] inches
Option A is the correct answer
Henry used his GPS to measure the distances from his house to two locations to the thousandth mile. Then, he rounded both values to the nearest hundredth. Which pair of distances could be the actual distances Henry measured?
school: 3.26 miles
piano lessons: 5.84 miles
Dose anyone know questions 2 and 3?
Answer:
Step-by-step explanation:
1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³
The cost increases by $1.50 for each additional toothbrush made.
a recipe for one batch of Holliday cookies uses 6 tablespoons of frosting for every 16 cookies please awnser quick
why do these sisters have different traits?
Answer: because dna is game of chance
Step-by-step explanation: hope it helps
M - n if m= 29 and n=11
Answer:
18
Not sure though but I hope i help you ☺️❤️
Do these ordered pairs represent a function? {(4,1), (5,2), (8,2), (9,8)} *
Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
Express 972 in the exponential from using prime factors
[tex]972 = 4 \times 243 = 2^2 \times 3^5[/tex]
Determine the slope from the given graph below:
A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7
(I’ll give brainliest <3)
Slope is the change in Y over the change in x.
Use 2 points on the graph(x,y) to use to solev6.
(2,3) and (0,-7)
Slope = (-7 -3) / (0-2)
Slope = -10/-2
Slope = 5
Answer: A the slope is 5
Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.
Answer:
4.25 sq. ft
Step-by-step explanation:
l = 24
w = 0.5
h = 12
SA = 2lw + 2lh + 2wh
2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft
If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.
Answer:
27i.
Step-by-step explanation:
a^3b = (-3)^3 * -i
= -27 * -i
= 27i.
atteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct? Explain your reasoning.
Answer:
he is incorrect.
no one can run for 5 miles everyday.
if so, my man atteo is a legend.
There are 30 cats and 50 dogs at the local animal shelter. Of these animals, 15% were adopted last week. How many animals were adopted?
The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price.
Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)
Answer:
Step-by-step explanation:
First we need to find the 20% discount.
$32.99 x .20 = $6.598
The 20% discount is $6.59
We subtract the discount from the original price:
$32.99 - $6.59 = $26.40 (This is price after the discount.)
Now we need to find the amount of the sales tax on the discounted price.
$26.40 x .08 = $2.11 (This is the sales tax on the discounted price.)
The total price Andre paid is the discounted price plus the sales tax.
$26.40 + $2.11 = $28.51
Total price paid: $28.51
John and Linda wants to simulate how many children they would have if they continued having kids until they have a boy. They will use the table of random digits below and they have assigned the numbers 0-4 to be a girl and 5-9 to be a boy. Fill in the blanks for the number of children John and Linda will have for each trial.
Trial 1:
Trial 2:
ithink this is the literal answer
if 5a+b=14 then a = what
explain how you got it pls
Answer:
[tex]a = \frac{14 - b}{5}[/tex]
Step-by-step explanation:
The rule to know and follow is:
You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;
5a + b = 14
If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;
Firstly, we subtract b from both sides:
5a + b - b = 14 - b
5a = 14 - b
Then, divide both sides by 5:
[tex]\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}[/tex]
Don’t know where to start
Step-by-step explanation:
C = 2πr = 2 x π x 6 = 37.69911
What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?
Answer:
1/3
Step-by-step explanation:
2 blue 1 green 4 red
how to make chicken, with rice ....
Answer:
put rice with chicken
Step-by-step explanation:
ChallengE
See attachment and answer :)
[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
Answer :[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]
Step-by-step-explanation:
We have given an expression.
We have to simplify the expression.
The given expression is
[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
We know that,[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
We know that,[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]
[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]
What is 5,783 divided by 6 ?
2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother b) my present age
Answer:
age of the Father is 46 and age of the son is 24
Step-by-step explanation:
13 years ago x was thrice y's age, or
(x - 13) = 3(y - 13); or
x - 3y = -26
2 years ago, x was twice y's age, or
(x - 2) = 2 (y - 2); or
x - 2y = -2
Subtracting equation 1 from 2:
x - 2y - (x - 3y) = -2 - (-26)
or y = 24
A pattern rule is square, triangle, circle, oval. What is the 50th shape?
Patterns are used to represent sequence of numbers.
The shape at the 50th position is a triangle
The pattern rule is given as: square, triangle, circle, oval.
The number of shapes (n) is given as:
[tex]n =4[/tex]
So, the 50th shape is calculated using the following absolute operator
[tex]Shape = 50\%4[/tex]
i.e. divide 50 by 4, and take note of the remainder.
When 50 is divided by 4, the remainder is 2
So, we have:
[tex]Shape =2[/tex]
This means that, the shape at the 50th position is the same shape at the 2nd position.
Hence, the shape is triangle
Read more about pattern at:
https://brainly.com/question/24050043
Find the value of x.
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY
Answer:
F The last option
{ n = 7 h - 2}
{ n = 4 h - 2}
Step-by-step explanation: I HOPE THIS HELPS
Answer:
it's
n=2h+4
n=2h+7
(and vice versa)
The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.
Step-by-step explanation:
I hope it helps you a lot dude lovelots
#LEARN WITH BRAINLY
PLS HELP NOW!!!
Solve two eighths times four fifths.
six fortieths
eight fortieths
six thirteenths
eight thirteenths
What is the product of 3.45 x
(1.93 x 10^4)
Answer:
66,585
Step-by-step explanation:
First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.
Always use pemdas and hope this helped!