Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
A baboon pushes a 5.5 kg that is initially at rest. . What is the box's change in momentum between 0 ms and 40 ms?
Answer:
0.80
Step-by-step explanation:
what is the formula to calculate velocity?
Answer:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
here is a picture.
I hope this helps.
14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.
Perimeter of the parallelogram = 2( length + breadth)
Solution :-Let the length and breadth be 5x and 3x
2(5x + 3x) = 48cm
2(8x) = 48cm
x = 48/16
x = 3cm
Length = 5x = 5×3cm = 15cm
Breadth = 3x = 3×3cm = 9cm
We know that,
In parallelogram Opposite sides are equal
Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cmplz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1
Step-by-step explanation:
dy/dx
= d/dx [x / (1 - x²)]
= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²
= (1 + x²) / (1 - x²)².
When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.
=> 1 + x² = 1 - x²
=> 2x² = 0, x = 0.
Also when x = 0, y = (0) / [1 - (0)²] = 0.
Hence the coodinates is (0, 0).
what is the measure of the central angle that represents blue backpacks?
Answer:
Yes it is 10
Step-by-step explanation:
Find the difference (5x3-3x+6) - (2x2-4x+8)
Answer:
wait 3x+6?????
Step-by-step explanation:
Answer:
5x^3 -2x^2+x-2
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (-1, 5)Slope m = -7substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2What is the value of x?
D
(x-4)
B
с
E
19
А
F
Answer:
How are we supposed to know what X is
Step-by-step explanation:
This doesn't make sense emphasize more
Answer:x=23 because 23-4=19 which equals to one side of the triangle
Step-by-step explanation:
Uhmm I got it right :D
Right answer gets brainlist.
Answer:
2309
Step-by-step explanation:
V=[tex]\pi r^{2} h[/tex]
plug in
V=2309.07
HELPPP NEED THIS IN 10 MINSSSS!!!
Answer:
120 square units.
Step-by-step explanation:
Area= Base x Height.
So given that, in this equation...
Area=12x10.
12x10=120.
10,20,30,40,50,60,70,80,90,100,110,120
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
12,24,36,48,60,72,84,96100,120.
Jupiter,Saturn or Uranus?
Answer:
Jupiter :)
Step-by-step explanation:
I need help, my teacher didnt teach up this
Answer:
The volume is 1539.38
Step-by-step explanation:
Answer:
384.7 cubic inches
Step-by-step explanation:
formula to find Volume of a Cylinder:
V = π · r² · h
7 is the diameter, so r = 3.5
V = π (3.5)² · 10
V = π (12.25)(10)
V = π · 122.5
V ≈ 384.7 in³
Please help me with this!!
i don't understand. May you help?
Answer:
Step-by-step explanation:
Function rule:
y = 10(0.95)ˣ
If a function is given as,
y = a(b)ˣ
a represents 'Initial value'
b represents the growth factor
If 0 < b < 1, function is a decay function.
If b > 1, function is a growth function.
For 2 = 10(0.95)ˣ,
Here, b = 0.95 which is in the interval of 0 < 0.95 < 1
So it's a decay function.
[tex]\frac{2}{10}=(0.95)^x[/tex]
log(0.2) = log[(0.95)ˣ]
log(0.2) = x[log(0.95)]
-0.6989 = -x(0.0223)
x = 31.44
x ≈ 31
Meaning → For 'x' = 31, value of the function is 2.
For 8 = 10(0.95)ˣ,
0.8 = (0.95)ˣ
log(0.8) = log(0.95ˣ)
log(0.8) = xlog(0.95)
x = 4.35 ≈ 4.4
Means, at x = 4.4, value of the function was 8.
What is the value of x?
please help me please will give brainliest
please solve that way it's said in the picture please question 1 and 2
_____+67-34=72 plzzz help me
ax ndw/klfme'lwmqasxdefrtghy6u7jygtrfasStep-by-step explanation:
Answer:
Solve everything backwards
It REALLY helps!
Step-by-step explanation:
One Friday night, two large groups of people called Centerville Taxi Service. The first group
requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?
Answer:sedan can hold 3 people and a minivan can hold 9 people.
Step-by-step explanation:
Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B
So 3A + 2B = 21 and 3A + 3B = 27
If we subtract the equations we can solve for B
3A + 3B = 27
-3A - 2B = 21
___________
B = 6
Now we know Each minivan can hold 6 passengers and we can solve for A.
3A + 3B = 27
3A + 3(6) = 27
3A + 18 = 27
- 18. -18
__________
3A = 9
A =3
You can check this by solving the other equation.
3A + 2B = 21
3(3) + 2(6) = 21
9 + 12 = 21
Hope that helps
Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?
Answer:
298
Step-by-step explanation:
given data
total friend = 4
total profit in the first month = 438
two months each friend profit = 184
solution
we consider here total profit second month is = x
so
profit second month = 184 × 4 - 438
x = 736 - 438
x = 298
so that here profit that car wash making the second month is 298
Frank thinks that 2x + 3x2 is the same as 5x3. Which statement shows that it is NOT the same? 2x + 3x2 = 5x2 2(6) • 3(6)2 ≠ 5(6)3 2x + 3x ≠ 5x 2(4) + 3(4)2 ≠ 5(4)3
Answer:
The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation:
Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:
Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?
A. 2x+3x^2 = 5x^2
B. 2(6) * 3(6)^2 ≠ 5(6)^3
C. 2x +3x ≠ 5x
D. 2(4) +3(4)^2 ≠ 5 (4)^3
The explanation of the answer in now given as follows:
The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.
As it can be seen, only option has the same functional form as the functional form in the question.
Given 2(4) +3(4)^2 ≠ 5 (4)^3
By doing the calculation of each side, we have:
2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56
5 (4)^3 = 5 * 4^3 = 320
Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3
Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Answer: D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation: I got it write on one of my tests.
PLEASE HELP ME I'LL MAKE UP BRAINLIST AND GIVE YOU 100 POINT!!
Answer:
55 pirates
121 pirates
Step-by-step explanation:
Every 11 pirates for one pirate ship.
5 * 11 = 55
Therefore, it would be 55 pirates
11 * 11 = 121
Therefore, it would be 121 pirates
Heather made a shirt using 1/2 yards of green fabric & 1/3 yards of blue fabric. How many yards of fabric did she use in all ?
HELP PLEASE 35 points
Answer:
A because f(x) repeats
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
hope it helps
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answer:
(-6,4)
Step-by-step explanation:
-7-(-1)=-6
7-3=4
Help me please! ASAP thank you :)
Answer:
7
Step-by-step explanation:
7+2=9
7 puzzles
7 puzzles
PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r in terms of x that represents the area of the shaded region.
This is the same as (1/2)x^2 because 1/2 = 0.5
We could rewrite that into [tex]\frac{x^2}{2}[/tex]
=========================================================
Explanation:
The base of the white triangle (aka unshaded region) is x, while the height is also x
The area of the white triangle is
A = 0.5*base*height
A = 0.5*x*x
A = 0.5*x^2
The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined
shaded region = (square area) - (white triangle area)
shaded region = (x^2) - (0.5x^2)
shaded region = x^2 - 0.5x^2
shaded region = 1x^2 - 0.5x^2
shaded region = (1-0.5)x^2
shaded region = 0.5x^2
So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.
Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.
Simplify: (3+√5)(4-√5)
Answer:
7+√5
Step-by-step explanation:
Answer:
7+[tex]\sqrt{5}[/tex]
Step-by-step explanation:
13
y у
3
Х
4
What is y?
Work needs to be shown please someone help and don’t answer for your benefit with no intention to help
Answer:
[tex]\frac{x+3}{x+2}[/tex]
Step-by-step explanation:
[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex] Factor the expressions that are not already factored.
=
[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex] Cancel out x+7 in both numerator and denominator.
=
[tex]\frac{x+3}{x+2}[/tex]
HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)
Answer:
A. The line on the left
B.not sure
C. 20 dollars
Step-by-step explanation: