The slope of a line perpendicular to 3x is [tex]-\frac{1}{3}[/tex] .
What is slope ?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
What is perpendicular ?
The word perpendicular means at right angles and this is because when two lines meet, they form right angles. Perpendicular lines can face in any direction such as up and down, crossways, and side-to-side.
Have given,
Slope of the line y=3x ,
you can compare it to y=mx+c form where m is the slope of the line.
y = 3x
differentiate respect of x
[tex]\frac{dy}{dx} = 3[/tex]
Now, the slope of the line perpendicular to the line that has a slope of m is [tex]-\frac{1}{m}[/tex]
The slope of a line perpendicular to 3x is [tex]-\frac{1}{3}[/tex] .
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Which is equivalent to x2 - 4x = 12 by completing the square
Answer:
x = 6 , − 2
Step-by-step explanation:
What’s the formula to find the area of a right triangle? (pythagorean theorem)
Answer:
multiply the hight and length then divide it by 2
Step-by-step explanation:
write a linear equation using y=mx+b
find the area please
Answer:
86.54625
Step-by-step explanation:
Formula: a = πr², r = d/2
Given: π = 3.14, d = 10.5
Sub: a = (3.14)r²
Find r.
10.5/2
5.25
Sub: a = (3.14)5.25²
Solve: 86.54625
According to the line of best fit, if a batter struck out about 80 times, about how many hours did the batter practice?
Answer:
The batter practice for 4 hours
Step-by-step explanation:
Here, we want to use the line of best fit for an estimation
What we will do here is to identify the point 80 strikecuts on the y-axis
After getting this, we trace this right wards toward the line of best fit
Upon getting this, we trace down to the x-axis to get the number of hours indicative of the strikecuts
By doing this, we can see that the number of hours is simply 4 hours
42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Anyone help me solve for y.
Answer:
y = - 4
Step-by-step explanation:
Given
y = 2x + ( - 2) , that is
y = 2x - 2 ← substitute x = - 1
y = 2(- 1) - 2 = - 2 - 2 = - 4
This is confirmed by the point (- 1, - 4 ) on the graph
A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys
Answer:
32
Step-by-step explanation:
Please help! Check to see if I have all of them correct! Will mark brainlist
Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.
Answer:
3 h(x) = 4 sin(2x + π) + 3
Step-by-step explanation:
The function h(x) has a greater y-intercept
How to compare the functions?The functions are given as:
f(x) = -3x + 2 h(x) = 4 sin(2x + π) + 3Set x to 0,to calculate the y-intercepts
f(0) = -3(0) + 2 = 2
h(0) = 4 sin(2(0) + π) + 3 = 3
From the above computation, we have:
f(0) = 2
h(0)= 3
By comparison, we have:
h(0) > f(0)
This means that the function h(x) has a greater y-intercept
Read more about y-intercepts at:
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A .Write an equation for the trend line in slope -intercept form .
Given:
The graph of a trend line.
To find:
The equation of the trend line is slope intercept form.
Solution:
From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).
Slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{50-25}{5-0}[/tex]
[tex]m=\dfrac{25}{5}[/tex]
[tex]m=5[/tex]
The line passes through the point (0,25). So, the y-intercept of the line is 25.
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The slope intercept from of the line is:
[tex]y=(5)x+(25)[/tex]
[tex]y=5x+25[/tex]
Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].
Can someone please help me with math.
Answer:
B
Step-by-step explanation:
The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).
we can see b intersects on (0,1) so that is out answer.
A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?
Answer:
$0.05
Step-by-step explanation:
All you have to do us divide the cost by the amount of ounces
3.45 ÷ 64 is about 0.05
The full answer is 0.05390625
Since we are talking about money, it should be $0.05
Solve for x
2(x+5)-7=3(x-2)
x=9
I'm sorry if I'm wrong
Answer:
x=9
Step-by-step explanation:
2(x+5)-7=3(x-2)
distribute the 2 and 3 which gives you
2x+10-7=3x-6
combine like terms
2x+3=3x-6
move the 2x to the other side by subtracting which gives you
3=x-6
add 6 to the other side which gives you
9=x
James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile
Answer:
30cm
Step-by-step explanation:
Find L.C.M of 90 and 120
Find the value of x.
Someone pls help:( im new tysm if u doo!
A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?
Answer:
956.73
Step-by-step explanation:
0.3% = 0.003
1-0.003 = 0.997
49/6 = 8 r1 (use 8 because decay is not continuous)
0.997^8 = 0.97625...
0.97625... x 980 ≈ 956.73
Answer: 956.25
Step-by-step explanation:
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answer:
1072
Step-by-step explanation:
What is 2 2/13 divided by 2/3
Answer:
3.23
Step-by-step explanation:
Answer:
the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer
what is the product
4/6 x 9
13/16
36/54
3
6
Emma bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Wh
expression shows what Emma paid?
Answer:
4(3)+0.95=X
Step-by-step explanation:
Answer:
A sixth-grade student bought three cans of tennis balls for $4 each.
The sales tax for each can was $0.95.
To Find :
The total amount the student spent.
Solution :
Price of each can including taxes :
p = $( 4 + 0.95 )
p = $4.95
So, price of 3 such cans including tax is :
P = p×3
P = $( 4.95×3 )
P = $14.85
Therefore, total amount spend by the student is $14.85 .
Step-by-step explanation:
Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?
Answer:
for the 1st year she earned 160 so for 3 years she will earn $480
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
I need help I'm struggling :(
Tiara attended 12 piano classes in four weeks. If she attended the same number of classes each week, which equation can be used to find the number of classes she attended every week?
A.4 + c = 12
B.4c = 12
C.12c = 4
D.12 - c = 4
Answer:
C
Step-by-step explanation:
Because i'm smart and did the math.
PLS HELP I WILL MARK THE BRAINLIEST.
Answer: HELP ASA! I NEED HELP ON MY TWO LAST QUESTIONS
Step-by-step explanation:
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
PLEASE HELP I WILL GIVE BRAINLIEST ACTUALLY PLEASE HELP
Answer:
$60
Step-by-step explanation: