9514 1404 393
Answer:
see below
Step-by-step explanation:
When a figure is rotated about a center point, the central angle formed by any point on the figure and the corresponding image point will be the rotation angle. Every image point is the same distance from the center of rotation that the pre-image point was. No lengths or angles are changed: rotation is a "rigid motion", so the rotated figure is congruent with the original.
__
-Angle AQA' is 60 degrees.
-Triangles ABC and A'B'C' are congruent.
-Angle ABC is congruent to angle A'B'C'. (this is one of the angles of the congruent triangles)
-Segment BC is congruent to segment B'C'
-Segment AQ is congruent to segment A'Q.
Jason kicked a soccer ball that was lying on the ground. It was in the air for 3 seconds before it hit the ground again. While the soccer ball was in the air it reached a maximum height of 30 ft. The height of the ball while in the air is the function of time.
Answer:
a) The domain is 0 < t < 3
The range is 0 < s < 30
b) The x-intercept are the times at the start and return of the ball to the ground
The y-intercept, is the starting height of the ball = 0
c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola, they represent the turning point of the function
d) The rate of change of the function is therefore given by the derivative of function which is;
ds/dt = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t which is the velocity of the ball at time t
∴ ds/dt = 14.714 - 9.81×t
Which is the velocity of the ball at time t
Step-by-step explanation:
The duration the soccer ball was in the air = 3 s
The maximum height reached by the soccer ball = 30 ft.
Considering the vertical motion of the ball, we have;
v = u - gt
s = u·t + 1/2·g·t²
v² = u² - 2×g×s
Where;
v = The final velocity of the ball = 0 m/s
u = The initial velocity of the ball
g = The acceleration due to gravity = 9.81 m/s²
s = The height the ball reaches = 30 ft
Given that the time to maximum height = Half the total time it was in the air, we have;
v = u - gt
v = 0 at maximum height
u = gt = 9.81 × 3/2 = 14.715 m/s
The vertical velocity = 14.715 m/s
Therefore, we have;
s ≈ 14.715×t - 1/2×9.81×t²
a) The domain is 0 < t < 3
The range is 0 < s < 30
b) The x and y-intercept are;
x-intercept, s = 0, gives;
0 ≈ 14.715×t - 1/2×9.81×t²
From which we have, t = 0 or t = 3, which are the times at the start and return of the ball to the ground
The x-intercept are the times at the start and return of the ball to the ground
The y-intercept, t = 0, gives;
s = 14.715×t - 1/2×9.81×t² = 14.715×0 - 1/2×9.81×0 = 0
Therefore, at the time t = 0 the ball is lying on the ground, height = 0
∴ The y-intercept, is the starting height of the ball = 0
c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola
They represent the turning point of the function
d) The rate of change of the function is therefore given by the derivative of function which is;
ds/dt = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t
∴ ds/dt = 14.714 - 9.81×t
Which is the velocity of the ball at time t.
evaluate the expression x+9, if x=8
Answer:
17
Step-by-step explanation:
x+9
if x=8 you would substitute x for 8 making the equation
8+9 = 17
therefore, the answer is 17.
HELPPPP PLEASSEEEEEE!!!
Answer:
Answer:
b2 = 2A/h - b1
Step-by-step explanation:
Find negative square root of 16 . (4 points) −4 4 ±4 −8
Answer:
-4
Step-by-step explanation:
Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1
Given:
Four equations are
[tex] 7 x + 1 = 7 x+ 1[/tex]
[tex]3 x + 2 = 3 x-2[/tex]
[tex]4 x + 1 = 3 x + 8[/tex]
[tex]-2x-1 = -2 x-1[/tex]
To find:
Without solving which equation has no solution.
Solution:
We know that, in an equation
1. No solution : When variable terms are same but constants are different.
2. Unique solution : When variable terms are different.
3. infinitely many solution : When variable terms and constants are same.
In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.
Therefore, these two equations (first and fourth) have infinitely many solutions.
In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.
Therefore, the second has no solutions.
In third equation, coefficient of x are difference on both sides.
So, this equation has unique solution.
Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.
Answer:
D
Step-by-step explanation:
Write the equation in terms of x.
2x + a =p
Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6
Answer:
Z = - 2, Y = 0, X = 0
Step-by-step explanation:
2X – Y + Z = – 2
6X + 3Y – 4Z = 8
– 3X + 2Y +3Z = – 6
isolate "X" in the first equation
2X - Y + Z = - 2 => isolate "2X"
2X = - 2 - Z + Y => divide either side by 2
X = - 1 - Z/2 + Y/2
substitute this value of X in the second two equations (applying the substitution method here)
6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,
6Y - 7Z - 6 = 8
- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,
Y + 9Z + 6/2 = - 6
isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)
6Y - 7Z - 6 = 8 => isolate 6Y
6Y = 14 + 7Z => divide either side by 6
Y = 7Z + 14/6 => substitute in second equation
7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z
61Z + 50/12 = - 6, Z = - 2
substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"
Y = (7(- 2) + 14)/6 = 0 / 6
= 0
X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0
= - 1 + 1 + 0 = 0
Can you please help me with this please.... I’ve been posting these questions over and over and nothing...
Snorkel, mask, and flippers
Slope:
Snorkel, mask, and flippers
y-intercept:
Snorkel, mask, and flippers
Slope intercept form:
Answer:
Step-by-step explanation:
Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).
Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)
Snorkel, mask, and flippers Slope intercept form: y = 2x + 10
Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi
Answer:
All are rational numbers I guess
Step-by-step explanation:
NoTE : I'm not sure
Answer:
For the first one its 7/9 ig
Wage per hour $11.13.
3 hours per day of work.
Takes 44.93 (45) hours of work to get $500.
For your birthday, you received $50 in gifts from family and friends. Write an equation and solve, letting h represent hours, to find how many hours you will have to work to save the $500 with the $50 in gifts based on your hourly wage. How many weeks is that?
Answer:
It will be about fourteen days or two weeks to save that much while only working 3 hours each day for every day of the week
Step-by-step explanation:
How can you tell if there will be more than one solution for the geometric means?
Answer: because there are different methods to it and different solutions.
Step-by-step explanation:
Is 2.01 less than 2.2
Answer:
Yes, 2.01< 2.20
Step-by-step explanation:
give me an example of irrational between 4 and 5
Answer:
√17, √18,√19,√20,√21,√22,√23 ,√24
Step-by-step explanation:
what is the unit rate of (0,0) and (12, 16)
A) 0.25 cm/s
B) 0.33 cm/s
C) 0.75 cm/s
D) 1.33 cm/s
Evaluate. 5/8−(14)2= ________
Answer:
exact form -219/8
Decimal form - -27.375
Mixed number form - -27 3/8
solve for -6=2(p+10)+-8
Answer:
-9
Step-by-step explanation:
hope this helpshchxjxjx
Answer:x=-9
Step-by-step explanation:
Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)
Answer:
D. 3(x-1) = 3x-3
Step-by-step explanation:
I'm sure that's the answer
Answer:
D and E
Step-by-step explanation:
Find the measure of DCH.
===================================================
Work Shown:
Angles DCH and PCF are congruent because they are vertical angles.
angle DCH = angle PCF
5h+94 = 7h+80
94-80 = 7h-5h
14 = 2h
2h = 14
h = 14/2
h = 7
angle DCH = 5h+94
angle DCH = 5*7+94
angle DCH = 35+94
angle DCH = 129 degrees
angle PCF = 7h+80
angle PCF = 7*7+80
angle PCF = 49+80
angle PCF = 129
We get the same result for both angles, which confirms the correct h value.
2.3a + 0.8a
how do i solve this
Answer:
2.3a + 0.8a =
2.3
+ 0.8
________
3.1
________
So therefore, 2.3a + 0.8a = 3.1a
(3y-1)^5 written in standard form please help!!!!
Answer:
Step-by-step explanation:
[tex](3y-1)[/tex]
[tex](3y-1)*(3y-1)*(3y-1)*(3y-1)*(3y-1)[/tex]
[tex]243y^5-405y^4+270y^3-90y^2+15y-1[/tex]
Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per weekend, use front-end estimation to find out about how much their business will earn in 5 weeks. A. $800 B. $1000 C. $1200 D. $1350
Answer:
$1,000
Step-by-step explanation:
Given that:
Charge per car = $8.50
Averahe car washed per weekend = 22
Using front end estimation, how much will business earn in 5 weeks ;
Hence amount earned per weekend :
22 * $8.50 = $187
Using front end estimation :
$187 - - -> $200
$200 * number of weeks
($200 * 5) = $1,000
Answer:
$1,000
Step-by-step explanation:
I know because I took the test.
One local radio station plays a commercial every 6 minutes. Another local radio station plays a commercial every 9 minutes. Both radio stations just played commercials. How many minutes will pass before both local radio stations play commercials again at the same time?
Answer:
18 mins
Step-by-step explanation:
Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $14. After 4 months, she has paid a total of $69. Use a linear equation in point-slope form to find the signup fee. Solve the problem using an equation in point-slope form.
What is the sign up fee
Answer:
The signup fee is $13
Step-by-step explanation:
we know that
The equation in point slope form is equal to
where
m is the slope or unit rate of the linear equation
(x1,y1) is a ordered pair of the line
Let
x -----> the number of months
y -----> the total cost of a gym membership
In this problem we have
The slope of unit rate is equal to
The ordered pair is
substitute
----> equation in point slope form
Convert to slope intercept form
---> equation in slope intercept form
The y-intercept is the signup fee (value of y when the value of x is equal to zero)
therefore
The signup fee is $13
Step-by-step explanation:mark me brainliest pls
Math question please answer
simplify and expand (X+3)(x-3)(3x+3)
Answer:
3x^3 + 3x^2 - 27x - 27
Step-by-step explanation:
===============================================
Work Shown:
(x+3)(x-3)(3x+3)
(x^2-9)(3x+3) .... difference of squares rule
y(3x+3) .... let y = x^2-9
y*3x + y*3 .... distribute
3x( y ) + 3( y )
3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9
3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute
3x^3 - 27x + 3x^2 - 27
3x^3 + 3x^2 - 27x - 27
GIVING BRAINLIEST i hate math :(
Answer:
i think somebody invented math just so he could torture people
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
write an equation for each quadratic function whose graph is shown
Answer:
9. y=5[tex]x^{2}[/tex]
10. y=2/3[tex]x^{2}[/tex]
11. y=1/10[tex]x^{2}[/tex]
12. y=-1/4[tex]x^{2}[/tex]
Step-by-step explanation:
9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).
y=a(x-0)^2 +0
Substitute the x and y values for the given point on the graph, (-1, 5)
5=a(-1-0)^2+0
Solve for a.
5=a(-1)^2
5=a
Substitute a in vertex form and solve for general form (ax^2 +bx+c)
y=5[tex]x^{2}[/tex]
Use this method to find the rest of the equations.
Solve for the variable in the following proportion
m/1/3 = 10/1 2/3
50
2
5
3/5
please help?
Answer:
the answer is 5
Step-by-step explanation:
Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B?
Answer:
No, you would need it to have the same multiples: for example, Triangle A has 2,3,4 so Triangle B would have 4,6,8
Step-by-step explanation:
I hope that makes sense!
In the United States 13 out of every 20 cans are recycled what percentage of cans are recycled
Answer:
65%
Step-by-step explanation:
13/20 are recycled
We want a percent, which is out of 100
Multiply the top and bottom by 5
13*5 = 65
20*5 =100
65/100 = 65%
Answer:
65%
Step-by-step explanation:
I took the test