Write an equation of the line passing through the point (2, 10) that is perpendicular to the line 2x+y=17.
Answers
Answer:
y = 0.5x + 9
Step-by-step explanation:
What we know:
An equation with the point (2,10) passing through it is perpendicular to the equation 2x+y=17.
The root of 2x+y=17 is (8.5, 0).
The two equations intersect at (3.2, 10.6)
Let's check if 3.2 and 10.6 work for 2x+y=17.
2(3.2) + 10.6 = 17
6.4 + 10.6 = 17, which is true.
Let's try y = 0.5x + 9, to see if we get the same output as the earlier equation.
y = 0.5(3.2) + 9
y = 1.6 + 9
y = 10.6, so 3.2 as x does work.
As a result, the perpendicular equation is y = 0.5x + 9.
Related Questions
Questio
Hint
Your school's basketball team is playing in the championship game. For the game, the
cheerleaders want to buy a banner that costs $44. They also want to buy small items to give to
students in the stands. Pompoms cost $2.23 each. Noisemakers cost $0.77 each. The cheer-
leaders have a total budget of $197 for the game.
Show Me
Answers
The base angle theorem is written as a conjecture,"if two sides of a triangle are congruent, then the angles opposite of them are congruent". Write the converse of the conjecture and determine if it is true.
Answers
Step-by-step explanation:
Statement:
"If two sides of a triangle are congruent, then the angles opposite of them are congruent"
Converse:
If two angles of a triangle are congruent, then the two sides opposite them are congruent.
The converse of the statement is true and can be proven true using a two-column proof. In fact it is a theorem.
Are you in the mood to save a life? if your answer is yes you are in the right place. PLSSSSSSSSSSS HELP
Could a design be both translational and glide reflectional symmetry? Explain why or why not.
Answers
Answer:
yes why
?
Step-by-step explanation:
p l e a s e h e l p p p p !!!
Answers
Answer:
This would be the last option I think, sorry if it's wrong.
Step-by-step explanation:
Answer:last option
Step-by-step explanation:
What number is the minimum number of lawns Myra needs to mow to meet her goal?
Answers
Answer:
1. 6
Step-by-step explanation:
500 – 350 = 150
150/25 = 6
Answer:
6 lawns
Step-by-step explanation:
She needs $500 and already has $350 saved
500-350=150
She still needs $150 to reach her goal
150/25 = 6 ($25 for each lawn)
Find the x-intercept of the equation
y= x + 3.
a) (-3,0)
b) (0, 3)
c) (0,0)
d) (3, 0)
Answers
Hope this helps
Answer:
A (-3,0)
Step-by-step explanation:
By the way, there's this website called Desmos. I find it's very helpful.
Between 9 p.m and 6:45 a.m, the water level in a swimming pool decreased by 3/16 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answers
Answer:
9:00 pm to 6:45 am = 9 hours 45 minutes = 9.75 hours
Water level drops 3/16" (or .1875") every 9.75 hours
.1875 / 9.75 = 0.0192307692 inches per hour
Step-by-step explanation:
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur
Answers
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
Where is the midline of this function?
Answers
Answer:
the midline is the line:
y = 0.
Step-by-step explanation:
The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.
Particularly, for trigonometric functions, we usually have:
f(x) = A*sin(k*x + p) + M
Where:
A is the amplitude.
x is the variable
k is a constant related to the frequency of the function.
p is a phase shift
M is the midline of the function, which means that the line that divides evenly the graph is y = M.
For our case, we have:
y = f(x) = 3*sin(2*x - π)
Then:
A = 3
k = 2
p = -π
And we do not have a constant term in that equation, this means that:
M = 0
This means that the line that divides evenly the graph is the line y = 0.
what number makes this equation true.
_ ÷ 5=9
Answers
Answer:
45
Step-by-step explanation:
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Answer:
45
Step-by-step explanation:
Find the area of the rhombus! Please help
Answers
Answer:
120
the equation to find the area of a triangle is[tex]A[/tex] = [tex]B[/tex] · [tex]H[/tex] [tex]/ 2[/tex]
Therefore,
[tex]A=(12[/tex] · [tex]5) / 2[/tex]
[tex]A=60/2[/tex]
[tex]A=30[/tex]
There are 4 congruent triangles in this rhombus and therefore,
[tex]30[/tex] · [tex]4=120[/tex]
[tex]A=120 cm^2[/tex]
Step-by-step explanation:
Can I get some help ill make you brainlist and ill give 100 points
Answers
Answer:
ang E alternate angles
and D alternate angles
CDE alternate angles
Step-by-step explanation:
Answer: E and D good luck :)
What is the slope of the line NP
Answers
Answer:
The slope of NP is [tex]\frac{-5}{7}[/tex] ⇒ B
Step-by-step explanation:
In any square, every two opposite sides are parallel and every two consecutive sides are perpendicularParallel lines have the same slopeThe product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (reciprocal m and change its sign)The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In square MNPR
∵ MN and NP are adjacent sides
∴ MN ⊥ NP
∵ M = (3, 8) and N = (-2, 1)
∴ x1 = 3 and y1 = 8
∴ x2 = -2 and y2 = 1
→ Use the rule of the slope above to find the slope of MN
∴ m(MN) = [tex]\frac{1-8}{-2-3}[/tex]
∴ m(MN) = [tex]\frac{-7}{-5}[/tex]
∴ m(MN) = [tex]\frac{7}{5}[/tex]
∵ MN ⊥ NP
∴ The product of their slopes = -1
→ Reciprocal the slope of MN and change its sign
∴ m(NP) = [tex]\frac{-5}{7}[/tex]
∴ The slope of NP is [tex]\frac{-5}{7}[/tex]
Given the figure below, find the values of x and z.
Answers
Answer:
x=9 z=108
Step-by-step explanation:
72+9=81
81/9=9
x=9
72+72=144
360-144=216
216/2=108
z=108
Question 3Multiple Choice Worth 5 points)
(08.05 LC)
For f(x) = x and g(x) = (x- 4)', in which direction and by how many units should fox) be shifted to obtain gx)?
OLeft 4 units
Up 4 units
ORight 4 units
Down 4 units
Answers
Answer:
Down 4 unit (see discussion, could be right 4 units)
Step-by-step explanation:
f(x) = x
G(x) = x - 4
Discussion:
if f(x) = x g(x) = f(x-4) = x-4 ... shift to right 4 units
or g(x) = f(x) - 4 = x -4 ... shift down 4 units
I need this ASAP!!
A milk truck delivers 386 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day.
Answers
Answer:
n = 4752 gallons
Step-by-step explanation:
Given
Dilivery: 396 dozen gallon in a day
RequirEd
determine the number of the gallon in a day
we understand that:
n= 396 dozen
unit conversion
1 dozen = 12
so
n = 396 dozen gallon
n = 396× 12
n = 4752 gallons
hence 4752 gallons milk is delivered daily
what is an discriminant
Answers
Answer:
a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.
Dagogo uploads 333 videos on his channel every month. Each video averages 151515 minutes in length and gets an average of 150{,}000150,000150, comma, 000 new views. The average ratio of likes-to-views of Dagogo's videos is 1:51:51, colon, 5. Dagogo wants to reach a total of 9{,}000{,}0009,000,0009, comma, 000, comma, 000 views on his channel.
Answers
Answer:
it is 20 months
Step-by-step explanation:
GOT IT RIGHT ON KHAN and
150,000 divided by 5 so 30,000 then 30,000 divided by 15
Each video gets an average of 1,500,000 views.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Each video gets an average of 1,500,000 views
Video get Views = 3 x 1,500,000
= 4,500,000 Views
Total Views = 90,000,000 Views
Number of months = Total Views/Views per month
Number of months = 90,000,000 / 4,500,000
= 20 Months
Hence, For 20 Months Dagogo need to upload videos to get 90,000,000 views on his channel.
Learn more about Ratio here:
https://brainly.com/question/13419413
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Quick!! pls help lol!!
Answers
Answer:
I think 53
Step-by-step explanation:
If the biggest line is 100 the do 100-47=53
Sorry if I’m wrong
What’s the equation that represents the number of notebooks???plzzzzz
Answers
Answer:
The bottom choice. 0.29p + 1.59 = 5.07
Step-by-step explanation:
He only bought one notebook, therefore there doesn't need a variable assigned to it.
Pens need a variable because he buys more than one.
Plzz
Help with letter A
Im horrible at area :(
Plzzz
Ty
Answers
Then connect the two end points to make a triangle, the area would be 19 1/4
Now you would need two.. just do the exact same thing but flip it so it doesn’t look alike
use the order of operations to simplify 4 3/5 + 15 divided by 5 - 1/5
19 2/5
8
7 2/5
24 4/5
Answers
Answer:
The answer is 7.4
Step-by-step explanation: I don’t really know a better way to tell you the explanation than just tell you the answer
The simplified expression is 7 3/5 or 7.6.
To simplify the expression using the order of operations (also known as PEMDAS), follow these steps:
Step 1: Simplify within parentheses (if any).
There are no parentheses in the expression, so we move to the next step.
Step 2: Perform multiplications and divisions from left to right.
First, let's divide 15 by 5:
15 ÷ 5 = 3
Step 3: Perform additions and subtractions from left to right.
Now, let's add 4 3/5 and 3:
4 3/5 + 3
To add the whole numbers, 4 and 3, we get 7.
To add the fractions, we need a common denominator. The common denominator of 5 and 1 is 5. Converting both fractions to have a denominator of 5:
4 3/5 + 3 = 4 3/5 + 15/5
Now, we can add the fractions:
4 3/5 + 15/5 = (4*5 + 3 + 15) / 5
= (20 + 3 + 15) / 5
= 38/5
Step 4: Express the result in mixed number form (if necessary).
38/5 can be expressed as a mixed number by dividing the numerator (38) by the denominator (5). The quotient is the whole number, and the remainder is the numerator of the fraction:
38 ÷ 5 = 7 with a remainder of 3
Therefore, the simplified expression is 7 3/5, which is equivalent to 7.6 as a decimal.
To know more about expression, refer here:
https://brainly.com/question/22860327
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2(9x - 1) = 99-7(3 - 4x)
help please
Answers
Answer:
x = -8
Step-by-step explanation:
Distribute on both sides
combine constants
combine variables
then divide
Answer:
2(9x - 1) = 99-7(3 - 4x)
Step-by-step explanation:
2(9x + -1) = 99 + -7(3 + -4x)
what type of triangle is this?
Answers
if 4 is the constant of proportionality is this equation correct? y = 4x + 2
Answers
Answer:
4 is not the constant. 2 is.
Step-by-step explanation:
In the following equation: y = 4x + 2
x and y are variables. x can be any given number, and y would be the resulting answer.
4 is not the constant, because the product it will produce varies on what x will be.
2 is a constant, because it will not change regardless what is put into x. It will continue to stay as 2.
Find the slope of the line passing through each pair of points.(-6, 16) and (-8, 20)
Answers
Answer:
[tex]slope \: s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} )} \\ s = \frac{(20 - 16)}{( - 8 + 6)} \\ s = \frac{4}{ - 2} \\ s = - 2[/tex]
Before Li started baking today, she had 9/10 kilograms of sugar. She used 2/5 kilograms of sugar for her first recipe and 15/100 kilograms of sugar for her second recipe. How much sugar does Li have left?
Answers
Answer:
7/20
Step-by-step explanation:
90/100-2/5
=1/2
1/2-15/100
=7/20
A garage mesures 9 meters by 10 meters. What is the area of the garge
Answers
Answer:
90
Step-by-step explanation:
i think
Answer:
90
Step-by-step explanation:
What is the value of n in the equation
3n - 8 = 32 - n?
1.) -10
2.) -6
3.) 6
4.) 10
Answers
Answer:
n = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3n - 8 = 32 - n
Step 2: Solve for n
Add n on both sides: 4n - 8 = 32Add 8 on both sides: 4n = 40Divide 4 on both sides: n = 10Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 3(10) - 8 = 32 - 10Multiply: 30 - 8 = 32 - 10Subtract: 22 = 22Here we see that 22 does indeed equal 22.
∴ n = 10 is the solution to the equation.
Answer:Shlong dong
Step-by-step explanation:
What is the solution of -2x +5+ x = 3 + 2x - 7
x = 3
x = -1
x=1
x=3
Answers
X=3
Explanation I used the maths app from Microsoft