perpendicular line to y=8 x-4 that goes through 0,0
Answers
Answer:y=8x
Step-by-step explanation:
Related Questions
A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole. Since the upper part had not completely broken off, the bird pecked away where the pole had cracked. How far was the bird above the ground?
Answers
Answer:
the woodpecker was 7m above the ground
The height where the bird pecked is 7m above the ground.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.
Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,
= (17 - 10)m.
= 7m.
So, The bird pecked away where the pole had cracked is 7m.
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Let a be a nonzero rational number. Is rational or irrational? Prove your answer by picking a value for a and simplifying
the expression. Then explain your reasoning.
Answers
Answer:
there is no expression to answer this based off of
Step-by-step explanation:
we can't answer an incomplete question sorry try again and maybe then
If triangle DEF has vertices D (-8,3), E (-1,5) and F (-3,-6), find the area of the triangle
Answers
Area of the triangle for the given vertices D (-8,3), E (-1,5) and F (-3,-6) is equal to 36.5 square units.
As given in the question,
Given vertices of the triangle are:
D (-8,3), E (-1,5) and F (-3,-6)
Formula for the area of the triangle using vertices
( x₁ , y₁ ) = ( -8, 3) , (x₂ , y₂) = ( -1, 5 ) and ( x₃ , y₃) = ( -3, -6 )
Area of a triangle = ( 1 / 2 ) [ x₁ ( y₂ - y₃ ) + x₂ ( y₃ - y₁ ) + x₃ ( y₁ - y₂) ]
Substitute the value in the formula we get,
Area of a triangle = |( 1 / 2 ) [ -8( 5 -(-6)) + (-1)(-6 -3) + (-3)(3 -5)]|
⇒Area of a triangle = |( 1/ 2) [ -8(5+6) -1(-9) -3(-2) ]|
⇒Area of a triangle =|( 1/ 2) [-88 + 9 + 6 ]|
⇒Area of a triangle = |(1/2)(-73) |
⇒ Area of a triangle = 36.5 square centimeters
Therefore, area of the triangle for the given vertices D (-8,3), E (-1,5) and F (-3,-6) is equal to 36.5 square units.
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Find a basis for the space of 2x2 diagonal matrices:
Answers
The team plots alternatives on a two by two matrix using the 2x2 Matrix decision support technique. The matrix diagram is a straightforward square divided into four equal quadrants, sometimes known as a four blocker or magic quadrant. A decision criterion, such as cost or effort, is represented by each axis.
A diagonal matrix in linear algebra is a matrix with all zero entries outside of the primary diagonal; the word typically applies to square matrices. The major diagonal's components can either have zero or nonzero elements.
The redundant column vectors are all taken out of the kernel when determining the basis of a matrix, leaving only the linearly independent column vectors. A basis is therefore merely the sum of all the linearly independent vectors.
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Pauline has 35 cups of flour. She makes cakes that requires 2 1/4 cups each. How mant cakes can she bake using the 35 cups of flour?
Answers
Answer:
15.56
Step-by-step explanation:
Total flour available=35 cups
Each cake=2 1/4 cups
Find how many cakes Pauline can bake with 35 cups of flour
Let the number of cakes she can bake with 35 cups of flour=x
x=35 cups / 2 1/4 cups
=35÷9/4
=35×4/9
=140/9
=15 5/9 cakes
=15.56 cakes approximately
5 In a scale drawing of an airplane, 1 inch equals 3 meters. The length of the actual plane is 17 meters. What is the length of the plane in the scale drawing?
Answers
Answer: 5 2/3 inches
Step-by-step explanation:
From the question, we are informed that the scale drawing of an airplane is:
1 inch = 3 meters.
Since the length of the actual plane is 17 meters, the length of the plane in the scale drawing will then be:
= 17/3
= 5 2/3 inches
f(x)
- 4x² + 4x-4
Find f(3)
Answers
= -4(9)+12-4
= -36+12-4
F(3)= -28
Stephanie has a recipe that calls for 2/3 tablespoon of vanilla to make 3 1/2 dozen cookies. How many tablespoon of vanilla are needed per dozen cookies.
Answers
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens
To keep in shape, Leah exercises at a track near her home. She requires 84 minutes to do 8 laps running and 10 laps walking. In contrast, she requires 66 minutes to do 2 laps running and 10 laps walking. Assuming she maintains a consistent pace while running and while walking, how long does Leah take to complete a lap? Leah takes minutes to run a lap and minutes to walk a lap.
Answers
Using a system of equations, it is found that:
Leah takes 3 minutes to run a lap and 6 minutes to walk a lap.
What is the system of equations?The variables of the system of equations are presented as follows:
Variable x: time required to complete a lap running.Variable y: time required to complete a lap walking.She requires 84 minutes to do 8 laps running and 10 laps walking, hence the first equation is:
8x + 10y = 84.
She requires 66 minutes to do 2 laps running and 10 laps walking, hence the second equation is:
2x + 10y = 66.
Simplifying by 2, we have that:
x + 5y = 33.
x = 33 - 5y.
Replacing in the first equation, we can find the time it takes to walk a lap, as follows:
8(33 - 5y) + 10y = 84.
264 - 40y + 10y = 84
30y = 180
y = 180/30
y = 6 minutes.
Then the time it takes to run a lap is obtained as follows:
x = 33 - 5y = 33 - 5(6) = 33 - 30 = 3 minutes.
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30 x 17 - ( 10 divided by 2 ) + 3 =
Answers
10/2 = 5.
Then we would do 30 x 17, and get 510.
510 - 5 is 505, plus 3 more is 508.
We get a final answer of 508
Hope this helps!
Answer:
508?
Step-by-step explanation:
what is this factor? simplify?...etc
How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?
Answers
Answer:
QUESTION:
How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?
ANSWER:
How to determine if a line is a parallel perpendicular or neither?
The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
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What term is -4x in the equation x2-4x+4
= 0
Answers
Answer: it is the second.
Step-by-step explanation:
X2 is 1 term. -4x is another and +4 is another.
So, -4x is the second term.
The first day, Brian saw 31 birds and twice as many squirrels as birds. The second day, Brian saw 20 birds and 42 squirrels. Which of the following is a good estimation of how many birds and squirrels Brian saw in the two days?
Answers
Answer: A good estimation would be about 150.
Step-by-step explanation:
To estimate we can round instead of using exact numbers.
First day he saw about 30 birds and twice as many squirrels, meaning about 60 squirrels. This is about 90 total when added together.
Second day he saw 20 birds and about 40 squirrels so about 60 when added together.
Add day one and day two totals for...
90+60=150
A system of equations is given. Equation 1: 4x + 3y = 20 equation 2: 3x + 2y = 12 explain how to eliminate x in the system of equations.
Answers
Then multiply the second equation by 4 and get: 12x + 8y = 48
Now because in both equations there is a 12x, you can subtract both the equations, eliminating the x meaning you are left with: y= 12.
Then, if you would like to find out the x value, you can substitute y=12 into any of the 2 equations, and then solve. Hope that helps
The system of equations are solved and the value of x and y are -4 and 12 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
4x + 3y = 20 be equation (1)
3x + 2y = 12 be equation (2)
Multiply equation (1) by 3 and equation (2) by 4 , we get
12x + 9y = 60 be equation (3)
12x + 8y = 48 be equation (4)
Subtracting equation (4) from equation (3) , we get
y = 12
Substituting the value of y in equation (2) , we get
3x + 2 ( 12 ) = 12
Subtracting 24 on both sides , we get
3x = -12
Divide by 3 on both sides , we get
x = -4
Hence , the system of equations are solved
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With respect to the average cost curves, the marginal cost curve: Intersects average total cost, average fixed cost, and average variable cost at their minimum point b. Intersects both average total cost and average variable cost at their minimum points Intersects average total cost where it is increasing and average variable cost where it is decreasing d. Intersects only average total cost at its minimum point
Answers
With respect to the average cost curves, the marginal cost curve: intersects both average total cost and average variable cost at their minimum points that is option B.
The fixed cost per unit of production is the average fixed cost (AFC). AFC will reduce consistently as output grows since total fixed costs stay constant. The variable cost per unit of production is known as the average variable cost (AVC). AVC generally declines until it reaches a minimum and then increases due to the growing and then lowering marginal returns to the variable input. The average total cost curve's (ATC) behaviour is determined by the behaviour of the AFC and AVC.
The marginal cost is the cost added to the overall cost of producing one extra unit of output. MC initially falls until it hits a minimum and then increases. When both AVC and ATC are at their minimal points, MC equals both. Also, when AVC and ATC are dropping, MC is lower; when they are growing, it is higher.Initially, the marginal cost of manufacturing is lower than the average cost of preceding units. When MC falls below AVC, the average falls. The average cost will reduce as long as the marginal cost is smaller than the average cost.When MC surpasses ATC, the marginal cost of manufacturing one more extra unit exceeds the average cost.Learn more about Marginal cost curve:
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Complete question:
With respect to the average cost curves, the marginal cost curve:
A) Intersects average total cost, average fixed cost, and average variable cost at their minimum point
B) Intersects both average total cost and average variable cost at their minimum points
C) Intersects average total cost where it is increasing and average variable cost where it is decreasing
D) Intersects only average total cost at its minimum point
Sarah has been training for a marathon, which will cover a distance of 42.195 km. In training
she has consistently run 1km each 6 minutes. How long will it take Sarah to complete the
Marathon if she runs at this pace consistently throughout the race?
Answers
Answer:
4 hours 21 minutes 17 seconds.
Step-by-step explanation:
1km = 6 minutes
42.195km = ?
42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.
Answer:
4 hours 21 minutes 17 seconds.
Step-by-step explanation:
Need help on this one thanks
Answers
Answer:
Y = 10/7X + 4
Y intercept = 4
Slope = 10/7
X intercept = -40/7
Step-by-step explanation:
Incase you are asked the equation of the line
The slope intercept equation is as follows -
(1)....Y = mx + b
where m - Slope
b - Y - intercept
the standard formula of slope which is commonly referred to as "the rate of change" is -
(2) .....m= Y2 - Y1 / X2 - X1
in this case you can refer to the final and initial X and Y values directly from the small points on the line.
and so(3)..... - X1 = -6 X2 = 6
- Y2 = 9 Y1 = -1
the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.
thus, X = 0 & Y = 4 ( 0 , 4 )
now lets substitute our values(3) into the slope formula (equation 2)
m = 9 - - 1 / 6 - - 1 = 10/7
now that we found the line's slope, let's simply plug the y intercept
into the slope intercept formula (1)
Y = 10/7X + 4
cynthia besch wants to buy a rug for a room that is 19 ft wide and 29 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 299 square feet of carpeting. what dimensions should the rug have?
Answers
The dimension which this rug should have is 23 feet × 13 feet.
How to calculate the dimensions of this rug?Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
Where:
A represents the area of a rectangle.l represents the length of a rectangle.w represents the width of a rectangle.Let x represent the width of this rug.
Also, the dimension of this rug is given by:
299 = (29 - 2x) × (19 - 2x)
299 = (29 - 2x)(19 - 2x)
Evaluating the equation, we have:
299 = 551 - 58x - 38x + 4x²
4x² - 58x - 38x + 551 - 299 = 0
4x² - 96x + 252 = 0
Dividing all through by 4, we have:
x² - 24x + 63 = 0
x² - 21x - 3x + 63 = 0
x(x - 21) - 3(x - 21) = 0
(x - 3)(x - 21) = 0
x = 3 or 21 feet.
Note: The plausible solution is x = 3.
Therefore, the width and length of this rug is given by:
Length = 29 - 2(3)
Length = 29 - 6
Length = 23 feet.
Width = 19 - 2(3)
Width = 19 - 6
Width = 13 feet.
In conclusion, the dimension of this rug is 23 feet × 13 feet.
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There are 50 kids taking archery at Bentwood Summer Camp. If 25% of the kids are taking archery, how many kids are at Bentwood Summer Camp in all?
Answers
Using the properties of percentages we can calculate that there are 200 kids in the archery camp that summer.
Long before the decimal numeral system, Ancient Rome routinely computed in fractions as multiples of 1/100.
A percentage is a dimensionless (pure) number; it has no unit of measurement.
The % value is determined by multiplying the numerical value of the ratio by 100. To calculate 50 apples as a percentage of 1250 apples, first compute 50/1250 = 0.04, then multiply by 100 to get 4%.
Let the total number of kids in the camp be x.
The number of kids who took archery = 25%
But 50 students took archery.
hence 25% of x = 50
Solving we infer:
x = 200
Therefore there are 200 kids in the camp.
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please help me i have no i dea
Answers
Step-by-step explanation:
144° + m5 = 180°
m5 = 180° - 144°
m5 = 36°
m5 + 56° + m4 = 180°
m4 = 180° - 56° - 36°
m4 = 88°
m3 + 56° = 180°
m3 = 180° - 56°
m3 = 124°
since the 2 horizontal lines are parallel:
m1 = m5 = 36°
m2 = 56°
Real Numbers:Question 6
Which of the following numbers is closest to
V90
?
Select one:
12
o 10
30
o 45
Answers
Answer:
o45
Step-by-step explanation:
Because 45 is the largest number.
Evaluate 1*(2+3) answer
Answers
Answer:
the answer is 5
Step-by-step explanation:
1×2+1×3
2+3
5
Answer:
thx for pointssssssssss
Step-by-step explanation:
knkn
9] A bike is being sold for 78% of its original
price of $85.50. What is the discounted
price?
Answer and show work PLEASE
Answers
Answer:
The new and discounted price is now $66.69
Step-by-step explanation:
Hope this helps :)
evaluate the expression above to find the probability that exactly 5 of the ten individuals in the sample have consumed alcohol. round your answer to three decimal places.
Answers
To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:
- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem
If you provide the value of p, I can help you calculate the probability.
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x-8/2=4 please help me asap this assignment is due in and hour! and please teach me how to do it! 10 points!!
Answers
Answer:
x = 8
Step-by-step explanation:
x - 8/2 = 4
Follow your order of operations and divide first.
8/2 is 4
x- 4 = 4
Next, isolate the variable by using the additive property of equality.
x - 4 + 4 = 4 + 4
x = 8
Answer:
ok so u do the opposite of 8/2 so do 8*2 which is 16 then add the answer which is 4 which equals 20 so 20- 8/2=4, 20-16=4
If 6 is an element in the domain of f(x) =
7x - 16
5
what is the corresponding element in the range?
The corresponding element is (Simplify your answer.)
Answers
Answer:
When x=6 in the domain, then y=26 is the corresponding element in the range of the function f(x)=7x-16.
Step-by-step explanation:
Given the expression
\(f(x)=7x-16\)
Given that x=6 is an element in the domain of f(x).
Substituting x=6 in the expression to find the corresponding element in the range.
\(f(6)=7(6)-16\)
\(= 42-16\)
\(= 26\)
Thus, the corresponding element in the range is: y=26
Therefore, we conclude that:
When x=6 in the domain, then y=26 is the corresponding element in the range of the function f(x)=7x-16.
find the inverse of the matrix (if it exists). (if an answer does not exist, enter dne.) 4 5 7 9
Answers
The inverse of the given matrix does not exist. To determine if the inverse of a matrix exists, we need to check if the matrix is invertible, which is equivalent to checking if the matrix has a nonzero determinant.
The given matrix is a 2x2 matrix with elements 4, 5, 7, and 9. To calculate the determinant, we multiply the diagonal elements and subtract the product of the off-diagonal elements. In this case, the determinant is (4 * 9) - (5 * 7) = 36 - 35 = 1. Since the determinant is nonzero, we conclude that the matrix is invertible. However, to find the inverse of the matrix, we need to calculate the matrix of cofactors, transpose it, and divide by the determinant.
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In 2012 there were approximately 800 elves working at the North Pole. A survey found that 88% of these elves enjoyed their work conditions.
Answers
Answer:
704 people out of 800
Step-by-step explanation:
88% of 800= 704
what is 5 1/12 + 2 5/9
Answers
Answer:
7.63888888889
Step-by-step explanation:
They probably want you to simplify too!
Medians: Using the methods previously described, the medians of each group were found to be:
Answers
Answer:
Medians: Using the methods previously described, the medians of each
group were found to be: Low: ( , ) Medium: ( . ) High: ( . ) Use these points to find the equation of the median fit regression line. Slope: What is the slope of the median regression line? m = Jig—y" = (Round to the nearest H—xL hundredth.) Y-lntercept: What is the y-intercept of the median regression line? kW _ 3 b _ (33—(—U.01)(2300))+(27—(—0.01)(3350))+(19—(—U.01)(4400)) _ 3 m (Round to the nearest hundredth.) Regression Line: The equation of the median regression line isy= x+