The magnitude of the vector to two decimal places is 11.40 units
The formula for calculating the magnitude of the vector is expressed as:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }[/tex]
Given the coordinate points (-3, 4) and (6, -3)
[tex]D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D= 11.40[/tex]
Hence the magnitude of the vector to two decimal places is 11.40 units
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I need help with Special Right Triangles. Thanks :)
Answer: c
Step-by-step explanation:
sin(45) = [tex]\frac{12}{AB}[/tex]
sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]
so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]
[tex]AB = \frac{24}{\sqrt{2} }[/tex]
[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]
[tex]AB = \frac{24\sqrt{2} }{2}[/tex]
[tex]AB= 12\sqrt{2}[/tex]
Please give me a brainliest answer
[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]
Points A(8,4)&B(-2,4) lie on a line .AB is parallel to which axis
Use the graph below to find the indicated expression: f(3)-f(-3)
Answer:
f×3-f×(-3)
3f+3f
solution:
6f
Step-by-step explanation:
hope it's can help
The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3
, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.
(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.
Answer:
The initial speed of the ball is 98.22 ft/s
The maximum height of the ball is 75.02 ft.
Step-by-step explanation:
Hi there!
Step-by-step explanation:
The position and velocity vectors of the ball can be calcualted as follows:
r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)
v = (v0 · cos α , v0 · sin α + g · t)
Where:
r = position vector at time t.
x0 = initial horizontal position.
v0 = initial velocity.
t = time.
α = launching angle.
y0 = initial vertical position.
g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).
v = velocity vector at time t.
Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:
x = 300 feet
y = 0
Then, r final = (300 feet, 0)
Notice that the origin of the frame of reference is located at the launching point.
Then, when the ball is caught:
300 feet = x0 + v0 · t · cos α
0 = y0 + v0 · t · sin α + 1/2 · g · t²
We have a system of two equations with two unknowns (t and v0), so, let´s solve it.
Let´s solve the first eqation for v0:
300 feet = x0 + v0 · t · cos α
Since the frame of reference is located at the launching point (x0 = 0). Then:
300 feet = v0 · t · cos 45°
300 feet /( t · cos 45°) = v0
Now, let´s replace v0 in the secod equation of the system:
0 = y0 + v0 · t · sin α + 1/2 · g · t² (y0 = 0)
0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²
0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t² (sin45°/cos45° = 1)
0 = 300 feet - 4.9 m/s² · t²
-300 feet = -4.9 m/s² · t²
-300 feet / -16.08 ft/s² = t²
t = 4.32 s
Now, we can calculate the initial velocity:
300 feet /( t · cos 45°) = v0
300 feet /( 4.32 s · cos 45°) = v0
v0 = 98.22 ft/s
The initial speed of the ball is 98.22 ft/s
To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:
vy = v0 · sin α + g · t
0 = 98.22 · sin 45° - 32.15 ft/s² · t
(-98.22 · sin 45°) / - 32.15 ft/s² = t
t = 2.16 s
(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).
Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).
r1y = v0 · t · sin α + 1/2 · g · t²
r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²
r1y = 75.02 ft
The maximum height of the ball is 75.02 ft.
Guided Practice
Find the slope of a line parallel to y=1/2x+2.3.
A.
1/2
B.
−1/2
C.
2
Answer:
A. 1/2
Step-by-step explanation:
GradPoint answer
I got it correct on the lesson.
Determine the domain and the range of the relation, and tell whether the relation is
a function.
{(13,2), (18, – 5), (39,2), (13,4), (51,4)}
--
What is the domain and range?
Step-by-step explanation:
it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.
anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.
the domain is {13, 18, 39, 51}
the range is {-5, 2, 4}
Which property of equality would be used to solve 3x= 81?
O subtraction
O
addition
O multiplication
O
division
Answer:
divison
Step-by-step explanation:
3x=81
3x/3=81/3
If Kamina can do a job in 43 hours and Simon and Kamina working together can do the same job in 15 hours, find how
long it takes Simon to do the job alone.
hours
Answer:
Answer:
645/28 hours
Step-by-step explanation:
In 1 hour, Kamina does 1/43 of the job.
Simon takes x hour to do the job alone.
In 1 hour, Simon does 1/x of the job.
Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.
1/43 + 1/x = 1/15
15x/(645x) + 645/(645x) = 43x/(645x)
15x + 645 = 43x
28x = 645
x = 645/28
Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
A. Mia walked 5 mi north and then walked 5 mi west.
B. A scuba diver descends 40 m from sea level and then descends another 10 m.
C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.
D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.
Answer:
C and DStep-by-step explanation:
Additive inverse is when two numbers add up to zero.
A. Mia walked 5 mi north and then walked 5 mi west.
False. It would be true if the directions are opposite.B. A scuba diver descends 40 m from sea level and then descends another 10 m.
False. It is - 40 - 10 = -50 m, not zeroC. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.
True. - $300 + $300 = 0D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.
True. The atom has neutral charge as + 2 + (-2) = 0Answer:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
Suppose you buy a new TI-84 calculator that has a listed price of $109.99. How much will you have to pay for the calculator including Michigan sales tax of 6%
9514 1404 393
Answer:
$116.59
Step-by-step explanation:
If I had a TI-84 calculator, I could figure it out.
__
The tax is the product of tax rate and taxed amount (rounded to cents):
0.06 × $109.99 = $6.5994 ≈ $6.60
The amount you have to pay is the total of the listed price and the tax:
$109.99 +6.60 = $116.59
-8 + r > -8
please show work
Hey there! :-)
-8+r>-8
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Hey there!
-8 + r > -8
= r > -8 + 8
= r > 0.
Steps :-
Write the equation.Bring -8 to the other side of the equation. It becomes +8. Now, add 8 & -8. We'll get 0.So, the answer will be r > 0.Hope it helps ya!
i = $141.60; P = $590; t = 6
years find the rate
Answer:
888888
Step-by-step explanation:
Salma made $143 for 11 hours of work. How much for 8 hours of work?
Answer:
140 dollars salma made if she worked for 8 hrs long
Answer:
104
Step-by-step explanation:
143 = 11 hours
143/11 = 1 hour
13= 1 hour
13 × 8 = 104
104please mark me as brainliest.Evaluate - 24-(-18) = 6.
Answer:
False
Step-by-step explanation:
-24-(-18) is -6 not 6 so it would be untrue
Pre-calc I'm having a lot of trouble 61 POINTS
Answer:
See belowStep-by-step explanation:
The points:
{(-5, 6), (-5, 8), (2, 5), (6, 9)}The domain (set of input values) is:
{-5, 2, 6}The range (set of output values):
{5, 6, 8, 9}The relation is not a function because the same input (-5) has two different outputs (6 and 8).
For the following exercises, find dy/dx for each function:
[tex]y= 1 / sin^2(x)[/tex]
Answer:
-2csc^2(x)cot(x)
Step-by-step explanation:
by derivative sin^-2(x)
HELP!!!!! Someone answer ASAP PLEASE!!!!
Answer:
thay are independent
Step-by-step explanation:
I only know that they are independent but Don't really know how to explain and do step by step.
Answer:
a, =to 13 and B, is to 45 and C,13 D, 14 of tells
PLEASE, I need help ASAP !
Answer:
I'm not 100% sure but I think it's C.
it might also be B. it's one of those 2 for sure but I'm like %80 sure it’s C.
Step-by-step explanation:
please let me know if im right or wrong....
Let g(x) = (x - 2)2. Find x such that g(x) = 25.
Answer:
x = 14.5
can also be written as;
x = 29/2
Step-by-step explanation:
3-3-2-2-2 written as a whole number
Answer:
I think this would be 33,222 I don't know I feel positive about this.
Step-by-step explanation:
Student football game tickets cost $20 Adult tickets cost $30. Write a function that shows
the total cost for s student tickets and a adult tickets.
Answer:
Here are the answers for the whole QC for CA students.
1. C
2. A
3. no
4. c
5. A
Step-by-step explanation:
solve pls brainliest
Answer: A= 304 feet B=1460
Step-by-step explanation:
3. What is 11% of $3,000? • A) $250 e B) $300 • C) $380 • D) $350
Answer:
$330.00
Step-by-step explanation:
Hey there!
The word ‘of’ in math means multiply
And
11% of 3,000
= 11/100 * 3,000
= 11/100 * 3,000/1
= 11(3,000)/100(1)
= 33,000/100
= 33,000 ÷ 100/100 ÷ 100
= 330/1
= 330
Therefore, the answer is most likely: 330
(NONE of the ABOVE)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
p=(m+n)/-5 solve for n
n= -5p - m
dis is 20 characterrs now
find the value of x 4x + 3 = -5x + 21
4x + 3 = -5x + 21
9x + 3 = 21
9x = 18
x = 2
Hope this helps!! :)
Answer:
x=2
Step-by-step explanation:
4x + 3 = -5x + 21
add 5x on both sideswhich will get u to 9x +3 = 21subtract 3 from both sideswhich will get u to 9x = 18divide 9 from both sides and the answer is x = 2True or false? Please help.
Answer:
True
Step-by-step explanation:
Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.
Answer:
True
Step-by-step explanation:
Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of
0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the
probability of obtaining a reading greater than 2.011'C.
P(Z > 2.011)
ery
Answer:
0 degree
Step-by-step explanation:
you know all the time the answer of the probality is 0 rarely any other dijit
Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)
Please I need answer ASAP!! I’ll make you brainliest!!
Answer:b
Step-by-step explanation:
find the area of a square whose side length is (7a^2b^3)
The area of a square whose side length is (7a^2b^3) is 49a^4b^6
The formula for calculating the area of a square is expressed as:
A = L^2
L is the side length of the square
Given the following parameter
L = 7a^2b^3
Get the area of the square
A = (7a^2b^3)^2
A = 7^2 * a^4 * b^6
A = 49a^4b^6
Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6
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The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
The parent function is:
[tex]p(x) = |x|[/tex]
The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.
Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.
Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.
Hence, the correct option is given by:
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
A similar problem is given at https://brainly.com/question/18405655