Let's find out
[tex]\\ \sf\longmapsto \dfrac{a^{-4}}{b^{-2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{b^2}{a^4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2^2}{3^4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{81}[/tex]
find the equation of the line
Answer:
[tex]\mathsf{y=-\dfrac13x+5}[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]\mathsf{y=mx+b}[/tex]
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, 5)
Therefore, b = 5
Choose another point on the line, e.g. (3, 4)
Now use the slope formula to find the slope:
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where:
[tex]\mathsf{(x_1,y_1)=(0,5)}[/tex][tex]\mathsf{(x_2,y_2)=(3,4)}[/tex][tex]\implies \mathsf{slope=\dfrac{5-4}{0-3}=-\dfrac13}[/tex]
Therefore, the equation of the line is:
[tex]\mathsf{y=-\dfrac13x+5}[/tex]
Answer:
[tex]y=-\frac{1}{3} + 5[/tex]
Step-by-step explanation:
Pick two points (0,5) & (3,4) find the slope [tex]m= \frac{y_{2} - y_1 }{x_2 - x_1}[/tex] >> [tex]m = \frac{4-5}{3-0} = -\frac{1}{3}[/tex]Find y-intercept (where x is 0) >> y = 5what is the answer to this equation using the quadratic formula?
3x^2+2x+4x=0
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]
[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]
mind you that it has two complex roots, or imaginary values.
need help!!!!!!!!!!!!!
Answer:
3rd answer
Step-by-step explanation:
they all need to be parallel so that the angles are congruent
1. How does the distance formula help me know if two or three sides of a triangle are equal?
Please solve the equation shown below
Answer: slope = [tex]\frac{6}{4}[/tex]
Step-by-step explanation:
To find the slope, choose two points. (0,0) and (4,6)
slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (4 - 0) = 6 / 4
Corresponding Angles
I
16. Given that I lm, find the value of 'X'.
4x + 10
m
8x – 25
Answer:
x = 8.75
Step-by-step explanation:
The given angles are corresponding and congruent, thus
8x - 25 = 4x + 10 ( subtract 4x from both sides )
4x - 25 = 10 ( add 25 to both sides )
4x = 35 ( divide both sides by 4 )
x = 8.75
A local school has clubs. The number of students in each club is shown in the bar graph below. Use this bar graph to answer the questions.
(a) Which club has the most students?
Drama
Glee
Debate
French
Math
Chess
How many students does that club have?
(b) How many more students are in the Glee Club than in the Debate Club?
(c) How many clubs have fewer than 6 students?
Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.
Answer:
[tex]x[/tex] intercept is at (6, 0).
[tex]y[/tex] intercept is at (0, 2).
Step-by-step explanation:
Given the equation of graph:
[tex]3x+9y=18[/tex]
To find:
[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.
Solution:
[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.
[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.
Putting [tex]y=0[/tex] :
[tex]3x=18\\\Rightarrow x = 6[/tex]
So, [tex]x[/tex] intercept is at (6, 0).
Putting [tex]x=0[/tex] :
[tex]9y=18\\\Rightarrow y = 2[/tex]
So, [tex]y[/tex] intercept is at (0, 2).
Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.
A company advertises that all of its bottles will now contain 20% more shampoo. jill writes the expression x+0.2x to represent how many ounces of shampoo will now be in a bottle that originally had x ounces. which expression also shows an increase by 20%
If 5 a = 45, ba= 1, then b=
Answer:
1/9
Step-by-step explanation:
5a=45
divide it by 5 and a will =9
9b=1
divide 1 by 9
you get 1/9=b
therefore 9x1/9=1
How to solve x/2-y/3=1, x-y/4=4 using method of elimination
Answer:x+y=14 .....(1)x−y=4 ......(2)On adding 1 and 2, we get,2x=18x=9Putting this value in equation 2, we get,9−y=4y=5Hence, x=9 and y=5.
solve for x please help me
Answer:
wpowie
Step-by-step explanation:hhh
3x - 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each
coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answer:
[tex](0,-3)[/tex]
[tex](5,0)[/tex]
[tex](10,3)[/tex]
[tex](20,9)[/tex]
Step-by-step explanation:
Given
[tex]3x - 5y = 15[/tex]
Required
Form 4 pairs of (x,y) values
This question will be answered based on assumptions of x and y values;
Haven said that:
For point 1
Take x = 0
Substitute 0 for x in [tex]3x - 5y = 15[/tex]
[tex]3(0) -5y = 15[/tex]
[tex]-5y = 15[/tex]
Solve for y
[tex]y = 15/-5[/tex]
[tex]y = -3[/tex]
So; the first pair is:
[tex](0,-3)[/tex]
For point 2:
Take y = 0
Substitute 0 for y in [tex]3x - 5y = 15[/tex]
[tex]3x - 5(0) = 15[/tex]
[tex]3x = 15[/tex]
Solve for x
[tex]x = 15/3[/tex]
[tex]x = 5[/tex]
So, the pair is
[tex](5,0)[/tex]
For point 3:
Take x = 10
Substitute 10 for x in [tex]3x - 5y = 15[/tex]
[tex]3(10) - 5y = 15[/tex]
[tex]30 - 5y = 15[/tex]
Collect Like Terms
[tex]-5y = 15 - 30[/tex]
[tex]-5y = -15[/tex]
Solve for y
[tex]y = -15/-5[/tex]
[tex]y = 3[/tex]
So, the pair is:
[tex](10,3)[/tex]
For point 4:
Take y = 9
Substitute 9 for y in [tex]3x - 5y = 15[/tex]
[tex]3x - 5(9) = 15[/tex]
[tex]3x - 45 = 15[/tex]
Collect Like Terms
[tex]3x = 45 + 15[/tex]
[tex]3x = 60[/tex]
Solve for x
[tex]x = 60/3[/tex]
[tex]x = 20[/tex]
So, the pair is:
[tex](20,9)[/tex]
Answer:
the guy above me his answer is correct
Step-by-step explanation:
i got a A on my TGA
what is 48/37 as a mixed fraction?
Answer:
1 11/37 is the correct answer
2x and 2y are like terms. True False
plzzz help mee
false bc one's an x and the other's a y.
Step-by-step explanation:
The answer is false. 2x and 2y are no like terms because they do not have the same variable
3
4
5
Enter the appropriate word(s) to complete the statement.
base
perfect cube
rational number
cube root
perfect square
repeating decimal
exponent
power
scientific notation
irrational number
radical sign
square root
monomial
real number
terminating decimal
6
7
18
Choose the correct term from the two choices given which makes the statement true.
(Scientific notation, Square root) is a compact way of writing numbers with absolute values
that are very large or very small.
Answer:
The answer is scientific notation
Step-by-step explanation:
The definition of scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.
I hope this helps :)
Pls help me I'm stuck
Answer
72°
Step-by-step explanation:
[tex]because\ AC=AB\ therefore\ < ACB= < ABC=6x\\ And\ because\ the\ sum\ of\ the\ angles\ of\ a\ triangle\\ is\ 180\ .\\ therefore\ < ACB+ < ABC+ < CAB=180\ degrees\\ 3x+6x+6x=180\ degrees\\ 15x=180\ degrees\\ x=12\ degrees\\ < ABC=6x=6\times12\ degrees=72\ degrees[/tex]
I hope this helps you
:)
Answer:
∠ABC = 72°
Step-by-step explanation:
When we look at the triangle carefully, we can see a bar on AC and AB. Those bars define that AC and AB are equivalent. This also means that the triangle is isosceles. Since this triangle is isosceles, the base angles of the triangle are equivalent.
⇒ AB = AC
We also know that the sum of its interior angles must be 180°.
⇒ ∠A + ∠B + ∠C = 180
Let's substitute their angle measures.
⇒ 3x + 6x + 6x = 180 [∠BAC = 3x; ∠ABC = ∠ACB = 6x]
Now, let's solve for x.
⇒ 3x + 6x + 6x = 180
⇒ 15x = 180
⇒ 15x/15 = 180/15
⇒ x = 12
Now, substitute the value of x into "6x" to find ∠ABC.
∠ABC = 6x
⇒ ∠ABC = 6(12)
⇒ ∠ABC = 72°
4
(17) Billy has a babysitting job where he works the exactly 23
hours every day. After 16 days, how many hours will Billy
have worked?
Answer: 368 hours
Step-by-step explanation:
if hes working 23 hours every day, he will have worked 16x23 = 368 hours in 16 days
What is the answer for 20−2⋅7+1−(−3)+10
Answer:
20
Hope that helps!
Answer:
2
Step-by-step explanation:PEMDAS first multiply 2 and 7 you get 14 then add 1 that's 15 then add 10 that's 25 after that subtract 20 thats 5 then subtract 3 that's 2
Evaluate 2^−1 + 2^−1.
Answer:
1
Step-by-step explanation:
2^−1 + 2^−1
2x2^-1
1
A 0.32-kg ball is moving horizontally at 30 m/s just before suddenly bouncing off a wall Just after the bounce, it is moving horizontally at 25 m/s but in the opposite direction. DOK 1 (4 marks) (a) What is the magnitude of the change in momentum of the ball during the bounce? (b) What percentage of the ball's original kinetic energy was lost in the collision?
We will see that the change in momentum is P' - P = -17.6 kg*m/s, and the percentage of kinetic energy lost is 30.56%.
How to get the change in momentum?The momentum is given by the product between the mass and the speed.
So the original momentum is:
P = 0.32kg*30m/s = 9.6 kg*m/s
After the bounce, the new velocity is -25m/s, then the new momentum is:
P' = 0.32kg*-25 m/s = -8 kg*m/s
The change in momentum is:
P' - P = -8 kg*m/s - 9.6 kg*m/s = -17.6 kg*m/s
How to get the change in kinetic energy?The kinetic energy is:
KE = (1/2)*M*v^2
The initial kinetic energy is:
KE = (1/2)*0.32kg*(30 m/s)^2 = 144 J
The final kinetic energy is:
KE = (1/2)*0.32kg*(-25 m/s)^2 = 100 J
The percentage lost is:
P = 100%*(144 J - 100J)/(144 J) = 30.56%
If you want to learn more about the momentum, you can read:
https://brainly.com/question/7538238
Pleaseeeee neeeddd helppp asappp
ANSWER:
Segment TS is a Chord
If AR = 14 , then QS = 14 ×2 = 28
∆ATS is an Isosceles Triangle
HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME
which number comes after 3,265 and before 5,631?
Step-by-step explanation:
after 3265 , 3266 will come
before 5631 , 5632 will come
A d = 15
B c= 30
C b = 20
D a=9
Answer: A, C, D
Step-by-step explanation:
9. A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the 1
ramp as a fraction in lowest terms? (Think rise over run.) *
12 ft
24 ft
O 12/24
O 24/12
O 1/2
0 2/1
Answer:
1/2
Step-by-step explanation:
12 is the rise 24 is the run
12/24 simplified is 1/2
The required slope of the given ramp is given by 1/2. Option C is correct.
Given that,
A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the ramp as a fraction in the lowest terms is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the ramp is evaluated as,
= vertical height / horizontal distance,
= 12 / 24
= 1 / 2
Thus, the required slope of the given ramp is given by 1/2. Option C is correct.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
5. The diagram shows two paths that lead through a park. Would a jogger run a greater distance on Path A
or Path B? Explain.
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
800x40 explanation pls
Answer:
800x40=32000
Step-by-step explanation:
Basically its 800 40 times.
Answer:
32,000
Step-by-step explanation:
First put 800 over 40
Second, multiply the 3rd zero by the first zero of 40
Multiply the 2nd zero by the same zero of 40
Multiply 8 by 4 and the result should be 800
Then you multiply 800 by 4.
0 x 4 is 0
0 x 4 is 0
8 x 4 is 32
(Make sure you add the zero from 40)
Put it together and you get 32,000
I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions
Answer:
Step-by-step explanation:
* * *
let the middle digit is a letter.
as first and second letters are same so consider them as one letter.
It can be filled in 26 ways.
third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)
total number of ways=26×10=260 ways
again consider second place is a digit.
so consider second and third place as one digit.
it can be filled in ways=10
first place can be filled in ways=26
Hence number of ways=26×10=260
so total number of ways=260+260=520
five more than the quotient of a number and eight is 42
Answer:
5+n/8= 42
Step-by-step explanation:
Answer:
5+n/8= 42
Step-by-step explanation:
Find the area of the rectangle with the given base and height.
3 ft 3 in
The area of the rectangle is it?
(Type an integer or a simplified fraction.)
Plz help
Answer: Area = 108 in. or 3/4 ft.
Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).
To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.
To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.
To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.