The slope of a line perpendicular to the line y=8x+1 is -1/8.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The product of slopes of line are m₁m₂=-1
The equation of line is y=8x+1
m₁=8
We need to find m₂
8m₂=-1
m₂=-1/8
Hence, the slope of a line perpendicular to the line y=8x+1 is -1/8.
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Please help by Oct 29 i don’t know what to do
Answer:
After ten months there will be around a population of 3460 rabbits.
Step-by-step explanation:
[tex]y = 60(1.5)^n[/tex]
[tex]y = 60(1.5)^{10}[/tex]
3459.9
3460
Through: (-5,4), Parallel to y= -6/7x +3
Answer:
there.
Step-by-step explanation:
The given line, y = 4x - 1, has a slope of 4. Thus, the new line, being parallel to the given line, also has a slope of 4. The equation y - k = m(x - h)^2 becomes y - 7 = 4(x + 3)^2 when -3 is substituted for h, 7 for k and 4 for m.
Tell if the function is linear or nonlinear from a table.
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How do I solve slopes
Answer:
Y[tex]\frac{y_{2}-y_{1}}{x_2-x_1}[/tex] or Y2-Y1/X2-X1
Step-by-step explanation:
hope this helps
i will not be angry from you if you brainlisted me
What is 1 over 3 - negative 8 over 3?
Answer:
The answer is 3.
Step-by-step explanation:
A shopkeeper purchased an electric fan for rs 1560 and sold it at 5 % profit find his actual profit and selling price of the fan
Answer:
[tex]{ \boxed{ \sf{Actual \: profit \: = \: Rs \: 78}}}[/tex]
[tex] \boxed{ \sf{Selling \: price \: = \: Rs \: 1638}}[/tex]
Step-by-step explanation:
Given :Cost price of a electric fan ( CP ) = Rs 1560Profit percent = 5 %To find :Actual profit = ?Selling price = ?Solution :Finding the selling price of a fan ( SP ) :
[tex] \boxed { \sf{SP = \frac{CP(100 + profit \: \%)}{100} }}[/tex]
[tex] \sf{↦ \: SP \: = \frac{1560(100 + 5)}{100} }[/tex]
[tex] \sf{↦SP = \frac{1560 \times 105}{100}} [/tex]
[tex] \sf{↦ \: SP = \frac{163800}{100} }[/tex]
[tex] ↦ \boxed{ \sf{SP = Rs \: 1638}}[/tex]
Now, We have :
Selling price of a electric fan ( SP ) = Rs 1638Cost price of a electric fan ( CP ) = Rs 1560Finding the actual profit :
[tex] \boxed{ \sf{Actual \: profit \: = \: Selling \: price \: - \: Cost \: price}}[/tex]
[tex] \sf{↦ \: Actual \: profit \: = \: Rs \: 1638 - \: Rs\: 1560}[/tex]
[tex] \boxed{ \sf{↦ \: Actual \: profit \: = \: Rs \: 78}}[/tex]
We're done !
Hope I helped!
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If f(x) = 2x + 1, and the domain of f is {5, 25, 50}, what is the range of f ?
A) {5, 25, 50}
B) {11, 51, 101}
C) {10, 50, 100}
D) {0, 5, 10}
Answer:
b
Step-by-step explanation:
plug your x values into the f(x) equation
A rental car agency charges $170.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $295.00?
The number of miles you can travel in one week for $295.00 is (Type a whole number.)
PLEASE HELP I WILL MARK YOU BRAINLIEST
PLEASE ITS URGENT!!!
find the constant of proportionality for the table of values
X.
2
3
4
Y.
5
7.5
10
K=
I NEED DUE SOON!!!
The distance Car A travels is represented by d= 57t, where d is the distance in kilometers and t is the time in hours. The distance Car B travels at various times is shown in the table. What is the unit rate of each car? Which car goes faster?
Time (Hrs)
2
3
4
Distance (km)
140
210
280
Car As unit rate is ______
Car Bs unit rate is______
Which car goes faster? _____
Answer:
Car As unit rate is --- ***57km/h***
Car Bs unit rate is --- ***70km/h***
Which car goes faster? --- ***Car B*
I hope this helps. u said 45 minutes, so i tried to some up with an answer. best of luck on ur work
Step-by-step explanation:
car a is 57 km in an hour, as 57t is equal to d. This, when d is 57 km will be 1 hr. So we are assuming that "t" is 1. Then d is 57. NOw lets check out car b. 140/2 is for 2 hrs, 210/3 for 3 hrs, and 280/4 for 4 hrs. This gives rate of 70 km in 1 hr.
3x - 7y = 13; x = -3, 0, 3
Solve the equation for y.
and solve for x.
Answer:
when x = -3; y = -22/7
when x = 0; y = -13/7
when x = 3; y = -4/7
y = 3/7x - 13/7
x = 7/3y + 13/3
Step-by-step explanation:
x = -3; 3(-3) - 7y = 13; -9 - 7y = 13; -7y = 22; y = -22/7
x = 0; 3(0) -7y = 13; -7y = 13; y = -13/7
x = 3; 3(3) -7y = 13; 9 - 7y = 13; -7y = 4; y = -4/7
SOLVE FOR Y: 3x - 7y = 13; -7y = -3x + 13; y = 3/7x - 13/7
SOLVE FOR X: 3x - 7y = 13; 3x = 7y + 13; x = 7/3y + 13/3
An aircraft flies at an average speed of 500 miles per hour. The expression 500t gives the distance traveled by the aircraft in t hours. Find the distance traveled by the aircraft in 8 hours The distance traveled by the aircraft in 8 hours is
Distance = 500 t
This equation means if we multiple 500 by the given time, we can determine the distance traveled.
Given in the question.
t = 8 hours
So we can substitute 8 into the equation.
Distance = 500 x 8
Distance = 4000 miles
Therefore, it traveled 4000 miles in 8 hours.
An expression is defined as a set of numbers, variables, and mathematical operations. The distance traveled by aircraft in 8 hours is 4,000 miles.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that the expression 500t gives the distance traveled by the aircraft in t hours. Therefore, the function can be written for distance as,
D(t) = 500t
where D is the distance in miles and t is the time in hours.
Now, To know the distance traveled by aircraft in 8 hours simply substitute the value of t as 8 in the given equation. Therefore, The distance traveled by the aircraft in 8 hours is,
D(t) = 500t
D(8) = 500(8)
= 4,000 miles
Hence, the distance traveled by aircraft in 8 hours is 4,000 miles.
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The mean of the values in a data set is p. If each of the values in the data set
were multiplied by 9.5, what would be the mean of the resulting data?
O A. 7.5p
O B. 11.5p
O C. р
O D. 9.5p
Answer:
9.5p
Step-by-step explanation:
Can someone help me with this math problem
Answer:
okay sure
Step-by-step explanation:
AND PLZ ANSWER IT CORRECTLY
how are the original coordinates related to the coordinates after the translation
This coordinate plane represents the entire botanical garden where Vincent works. The rectangular figure on the coordinate plane is the original position of the rose garden. Vincent wants to slide the rose garden two yards east and four yards south. In this activity, you’ll help Vincent find the coordinates of the new rose garden.
Answer:
The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.
Step-by-step explanation:
Answer:
Eastward translation of the rose garden will move it in the positive x-direction. So, the integer that represents a change of two yards east is +2.
Step-by-step explanation:
On Tuesday the cafeteria served 5 gallons for orange juice during breakfast. How many pints are in 5 gallons?
Answer:
40
Step-by-step explanation:
The table shows the distance traveled at various times during a trip.
Time vs. Distance Traveled During a Trip
Time (minutes), x
Distance traveled (miles), y
11
8
28
22
59
63
73
80
87
91
99
94
A regression calculator is used to produce a scatterplot and regression line for the data. Using the equation of the line, what is the approximate distance traveled after 44 minutes?
Answer:
we would need to see that plot done by the regression line, unless you're supposed to do that yourself? maybe w/ Excel?
Step-by-step explanation:
Which of these functions are linear ?
Answer:
E
Step-by-step explanation:
A function that is linear is a straight line. A linear function can be found using [ y = mx + b ]
F shows an example of a quadratic function. A quadratic function can be found using [ f(x) = ax² + bx + c ]
Best of Luck!
[tex] \LARGE{ \underline{ \blue{ \bf{Required \: answer:}}}}[/tex]
The answer is E because the graph of linear equation is a straight line whereas the graph of a quadratic equation is a parabola opening upwards or downwards depends upon the coefficient of a in standard form : ax² + bx + c.
Linear equation have atmost 1 zero. This we can determine through the graph.Quadratic equation have atmost 2 zeroes and the no. of times it intersect with x-axis determines the no. of zeroes of the quad. equation.#CarryOnLearning
Is 6 pi an irrational number?
Answer:
yes
Step-by-step explanation:
pi is an irrational number
) Which of these shows a repeating decimal? A 2.222 C 3 6 10B 4.0014(With line ontop the LAST 4)
Answer:
B. 4.0014 repeated
Step-by-step explanation:
because the line above the four means that it's repeated.
Biking at a constant rate, Elise travels 35 miles in 7 hours. If she travels at the same speed, how far will Elise bike in 9 hours.
Answer:
Elise would travel 45 miles if she biked for 9 hours at a constant speed.
Step-by-step explanation:
h(t) = (t + 3) ^2 + 5
I need help on this one please
PLEASE HELP!! Will Mark brainliest!!!
Deductive Reasoning uses ______
to reach a conclusion.
1. Prior Knowledge
2. Reasoning
3. Past Events and Patterns
4. Fact, Truths and Definitions
Answer:
4. Fact, Rules, Truths and Definitions
Step-by-step explanation:
Deductive Reasoning uses Fact, Rules, Truths and Definitions to reach a conclusion. Deductive reasoning is the process of reasoning from one or more statements (premises) to reach a logical conclusion
Im stuck IDK what the answer is can someone Help??!!
The graph below shows four straight lines, P, Q, R, and S:
graph of line P going through ordered pairs negative 2, negative 5 and 0, 3. Graph of line Q going through ordered pairs negative 1, negative 2 and 1, 6. Graph of line R going through ordered pairs negative 1, negative 4 and 1, 4. Graph of line S going through ordered pairs 0, negative 3 and 2, 5
Which line is represented by the function f(x) = 4x – 3? (1 point)
These are the answers to choose from..
Line P
Line Q
Line R
Line S
Answer:
Q
Step-by-step explanation:
I just know I guess
Answer:
I DONT KNOW WHAT IT IS BUT ITS NOT Q TRUST ME
Step-by-step explanation:
Imaginary number test
i ⁴³⁵ = i ⁴³²⁺³ = i ⁴³² • i ³
i ⁴³⁵ = i ⁴³² • i ³
i ⁴³⁵ = (i ⁴)¹⁰⁸ • i ³
i ⁴³⁵ = 1¹⁰⁸ • (-i)
i ⁴³⁵ = -i
The value of the imaginary number i⁴³⁵ is : i ⁴³⁵ = -i.
Here, we have,
To evaluate the expression i⁴³⁵, we need to understand the properties of the imaginary unit, denoted by i.
The imaginary unit i is defined as the square root of -1, meaning i² = -1.
When raising i to an exponent, we can use the pattern of powers of i to simplify the expression.
The pattern of powers of i repeats every four exponents:
i¹ = i
i² = -1
i³ = -i
i⁴ = 1
Since i⁴ = 1, we can divide the exponent 435 by 4 to find the remainder:
435 divided by 4 gives a remainder of 3.
Therefore, i⁴³⁵ is equivalent to i³.
Using the pattern of powers of i, we know that i³= -i.
So, i⁴³⁵ = -i.
i.e. we get,
i ⁴³⁵ = i ⁴³²⁺³ = i ⁴³² • i ³
i ⁴³⁵ = i ⁴³² • i ³
i ⁴³⁵ = (i ⁴)¹⁰⁸ • i ³
i ⁴³⁵ = 1¹⁰⁸ • (-i)
i ⁴³⁵ = -i
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what is the equation?
Answer:
y=4x-3
Step-by-step explanation:
Do we have enough information to say that m//n? Why?
No, not enough information
Yes, Converse of Corresponding Angles Postulate
Yes, Converse of Alternate Interior Angles Postulate
Yes, Converse of Alternate Exterior Angles Postulate
Yes, Converse of Consecutive Interior Angles Postulate
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Lines 'm' and 'n' are the parallel lines and 'r' is a transversal line intersecting these lines at two distinct points.
Therefore, both the angles will be congruent by the property of corresponding angles postulate.
By the converse of corresponding angles postulate,
If these angles are congruent then both the lines (m║n) will be parallel.
Option (1) will be the answer.
what adds up to 180 and has a 54 diff
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[tex]x + y = 180[/tex]
[tex]x - y = 54[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solution :
[tex]x = 117[/tex]
[tex]y = 63[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
plz help 20 points plzz
Answer:30 tablespoons of vinegar
Step-by-step explanation: 3 times 10
