The slope of the perpendicular line is -3, which is option A.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The given equation of the line is I: y = (1/3)x.
To find the slope of a line perpendicular to I, we need to take the negative reciprocal of the slope of I.
The slope of I is 1/3, so the slope of a line perpendicular to I is:
-1 / (1/3) = -3
Therefore, the slope of the perpendicular line is -3, which is option A.
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The complete question:
If another line is drawn, perpendicular to line I = y= 1/3x, what must be its slope?
A. -3
B. 3
C. 0
D. undefined
Please I need someone to answer this !
Answer:
Step-by-step explanation:
Put 1/5 x 3 and that is the answer
PLEASE HELP ASAP!!!!!!!!
How do you do division on your own also I just never learned sorry
Answer: Step 1: D for Divide. How many times will 5 go into 65? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
Step-by-step explanation:
Answer:
its like mutipying backwards so like 12 divided by 6 is 2 or 4 divided by 1 is 4
Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).
Answer:
y= 1/2x + 6
Step-by-step explanation:
when making a perpendicular equation, flip the slope.
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope of the perpendicular line will have the complete opposite slope.
The perpendicular slope is 1/2x.
To get the slope I just got the opposite sign and reciprocal of -2.
NOW plug in (-4,2) to find the y-intercept
2 = 1/2(-4) + b (b represents y-intercept)
2 = -2 + b (add 2 on both sides)
4 = b
y = 1/2x + 4 is the final equation
HOPE THIS HELPS!!
A birds nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these two positions?
A. 24 In
B. 11 Ft
C. 13 Ft
D. 24 Ft
Answer:
C - thirteen feet
Step-by-step explanation:
12 feet plus 1 foot is 13
-10x + 10x + 5x + 5 = 5
solve for x
Answer:
x = 0
Step-by-step explanation:
-10x + 10x + 5x + 5 = 5
5x + 5= 5
5x = 0
x = 0
5. AGHI is an isosceles triangle with a vertex angle H
If the M
Answer:
I can't help I cause u don't have questions to pick from
if henry has 8 apples , and josh ate 5 . how many apples does henry have?
Answer:
Henry has 3 apples
Step-by-step explanation:
Please help me with this it’s 8 grade
Answer:
The correct answer is option B.
Step-by-step explanation:
Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.
ANSWER THIS PLSSSS ASAPPPPP
Answer:
3rd choice (1, -6)
Step-by-step explanation:
solve pls will give brainliest
A garden has the dimensions of 5x4 in feet. The gardener wants to expand her garden to 56 square feet. She wants to add the same distance (x) to each side. What is the value of x. Must show work for credit. *
Answer:
2 feet
Step-by-step explanation:
If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.
7 * 6 = 56 square feet
This means that we would be adding 2 feet to each side.
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?
Answer:
The coordinates of point A' will be: A'(-2, 0)
Step-by-step explanation:
We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.
Translation does not change the size, orientation, or shape of the original object.
Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).
Now we have to translate the triangle 4 units up. So, use the formula
P(x, y) → P'(x, y + 3)
Thus, the coordinates of point A' will be:
A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)
Therefore, the coordinates of point A' will be: A'(-2, 0)
A jewelry store buys a gold watch sell.
The price of the watch is marked up 45%
The store sells the watch for $2,610.00.
How much did the jewelry store pay for the watch?
Answer:
-2565
Step-by-step explanation:
because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah
Which of the following pairs of points are on the same horizontal line?
A(–2, –2) and (2, 2)
B(–2, 2) and (–2, –2)
C(–2, –2) and (2, –2)
D(2, –2) and (2, 2)
Answer:
d answer is right .....
the answer is A.
(-2, -2) and (2,2)
Write an equation in point-slope form for the line through the given point with the given slope
(8,-3);m= -1/4
Answer: y+3= -1/4(x-8)
Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation
Isabella is ordering pizza for a family dinner. If 2 pizzas will feed 4 people, how many pizzas does she need to order for 12 people?
Answer:
She needs to order 6 pizzas.
Step-by-step explanation:
(My bad I thought it was one pizza that fed 4 people not two)
Answer:
6 pizzas
Step-by-step explanation:
2pizza=4 people
12/4=3
3*2=6
Write the equation of the line
Answer:
The equation of the line is
[tex]y = \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Remember:
[tex]slope = \frac{rise}{run} [/tex]
Twice a number decreased by eight is sixteen.
I’m doing percent equation and the question is blank % of $50 = $35 help me plzzz
70%
50 * x = 35
x= 35/50
x=0.7
x=70%
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
How to solve stacked similar figures
Answer:
Step-by-step explanation:
You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.
similar polygons: For two polygons to be similar, both of the following must be true:
Corresponding angles are congruent.
Corresponding sides are proportional.
To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.
42 students are going on a field trip. The students are divided into groups of four Students. How many groups of four will there be. If the remaining studentsform a smaller group, and one chaparone is assigned to every group,how many total chaparones are needed
Answer:
Step-by-step explanation:
if we have 42 students which are divided in group of 4 we will have
42/4=10 groups and 2 students left
if we would have a group out of 3 students, we will have 14 groups and 14 chaperones
a group will have 3 students and one chaperone
42 students and 14 chaperones
Larry accumulated $3,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to two decimal places.
Answer:
The amount will be "$3655.21".
Step-by-step explanation:
The given values are:
Principle,
P = $3000
Interest rate,
r = 10% i.e., 0.1
Number of times interest,
n = 4
Time,
t = 2 years
As we know,
⇒ [tex]A=P[1+\frac{r}{n} ]^{tn}[/tex]
On putting the values in the above formula, we get
⇒ [tex]=3000[1+\frac{0.1}{4} ]^{2\times 4}[/tex]
⇒ [tex]=3000[1+0.025]^8[/tex]
⇒ [tex]=3000\times 1.2184[/tex]
⇒ [tex]=3655.21[/tex] ($)
HELP ASAP
Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.
Table:
x f(x)
1 18
2 38
3 60
4 78
5 93
6 117
7 143
Which polynomial function best models the data?
A) f(x)=0.4048x^2+16.9762x+2.1429
B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571
C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429
D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143
The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
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 ,
Daniel keeps track of the number of vehicles that go through the drive-thru each hour
Let the number of hours be x
Let the total number of vehicles that passes be y
Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }
The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }
Let the polynomial equation be represented as f ( x )
Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where
f ( x ) = 0.4048x² + 16.9762x + 2.1429
when x = 3
f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429
On simplifying , we get
f ( 1 ) = 3.6432 + 50.9286 + 2.1429
f ( 1 ) ≈ 60
Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429
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please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}
Answer:
The Domain are 3,-5,2,-3
Step-by-step explanation:
hope that helps
Answer:
The domain is (3, -5, 2, -3
Step-by-step explanation:
Plz give brainlyest
Simplify completely 4m^3 over 3m^2n X 9n^2 over 30m^2n^2
Answer:
The answer is 2/405Xmn with an exponent of 5 at the end
1/3 as a number is wat thanks and have a good day aight
Which part is the y-intercept in this equation? y=3x+9
Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
