The required equation of the parabola its y = -x² / 25 + 12x / 5 + 14.
Given that,
A clown who has shot from a cannon lands in a net 50 feet away, Point (0, 14) and vertex (30, 50)
To write an equation for the parabola.
A parabola is a cross-section cut out of the cone and represented by an equation
Here,
The equation of the parabola is
y = a( x - h )² + k
And we have vertex (30, 50)
y = a (x - 30)² + 50
Now point (0, 14 ) lies on the parabola,
14 = a (0 - 30)² + 50
14 - 50 = a(900)
-36/ 900 = a
a = - 1 / 25
Now,
y = -1/25 (x - 30)² + 50
y = -x²/25 + 12x/5 -36 + 50
y = -x² / 25 + 12x / 5 + 14
Thus, the required equation of the parabola its y = -x² / 25 + 12x / 5 + 14.
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Does anyone know the answer
Answer:
the answer is d
Step-by-step explanation:
For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent? HURRYYYYYYYYY
Answer:
the sea line
I am guessing
Step-by-step explanation:
Answer: I think it will the surface of the water
17. 2x2+ 71 = -163
19. -4x2 - 3 = 481
Directions: The roots of a quadratic equation
Answer: ayo i will do this tmrw just comment on here so i can go back and do this
Step-by-step explanation:
Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations
Answer: Let's solve for x.
−x−y=6
Step 1: Add y to both sides.
−x−y+y=6+y
−x=y+6
Step 2: Divide both sides by -1.
−x
−1
=
y+6
−1
x=−y−6
Answer:
x=−y−6
Let's solve for x.
5x−7y=66
Step 1: Add 7y to both sides.
5x−7y+7y=66+7y
5x=7y+66
Step 2: Divide both sides by 5.
5x
5
=
7y+66
5
x=
7
5
y+
66
5
Answer:
x=
7
5
y+
66
5
Step-by-step explanation:
What is the slope of the line?
Answer:
-3/2
Step-by-step explanation:
Rise/run
You count down/up however many until the line hits another point, and then go across until it matches. So I counted down 3 squares and over 2, and since it is going down it is negative.
I hope this helps :)
Answer:
all endjsj
dhsieosjskso
help me please it's due at 10:00
Answer:
Step-by-step explanation:
1.
-3 + 8x ≥ 21
+3 +3
8x ≥ 24
divide both sides by 8
x ≥ 3
2.
d is false, because when you plug 5 in for x the solution would come out to be 19 < 17
Hope this helps!!! happy holidays!!
Answer:
1. x ≥ 3
2. d. 5
Step-by-step explanation:
Solve the inequality for w.
5 (w – 3) < 5W + 20
Answer:
All real solutions
Step-by-step explanation:
5w - 15 < 5w + 20
subtract 5w from both sides
-15 < 20
since it is true and there are no variables left. all real solutions will make this true
Answer:
w < w + 7
Step-by-step explanation:
5w-15 < 5w+20
divide all by 5 =
w < w + 7
Answer pls i need the answer ASAP if you know then pls answer i beg of you.
Answer:
A 19.8
Step-by-step explanation:
4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.
Answer:
[tex]\theta=24^\circ[/tex]
Step-by-step explanation:
Trigonometry and Right Triangles:
The ratios of the sides of a right triangle are called trigonometric ratios. Any angle or side length can be calculated using the appropriate trigonometric ratio.
Please refer to the image below. The balloon is 100 feet high and the rope has a length of 250 feet. The right triangle formed allows us to apply a trigonometric ratio that relates the two given side lengths: the hypotenuse and the opposite leg to angle θ.
The sine ratio is defined as:
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin\theta=\frac{100}{250}=0.4[/tex]
[tex]\displaystyle \sin\theta=0.4[/tex]
Calculating θ:
[tex]\theta=\arcsin 0.4[/tex]
[tex]\theta=23.6^\circ[/tex]
To the nearest degree:
[tex]\mathbf{\theta=24^\circ}[/tex]
I need help asap I will give you brainlest
Answer:
Y=2
Step-by-step explanation:
YW thanks!
Simplify the expression use the screen shot
Answer:
(a/b)^k=a^k/b^k
Step-by-step explanation:
Using the laws of exponents, we know that (a/b)^k=a^k/b^k.
I couldn't get it to format correctly so just know that the "/" are for the fraction signs and the "^" is for the exponent marking.
Answer:
a^k / b^k
Step-by-step explanation:
You have to use the properties of the powers.
f(x) = 4/5x - 2
Find f(3)
[?
Answer:
f(3) = 2/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4/5x - 2
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = 4/5(3) - 2Multiply: f(3) = 12/5 - 2Subtract: f(3) = 2/5Answer: 2/5
Step-by-step explanation:
We need to replace x with 3
f(x)= 4/5*(3)-2= (12/5)-2=(12-10)/5= 2/5
Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?
Answer:
$240
Step-by-step explanation:
40 x 5 = 200
40 x 6 = 240 (basically just adding forty dollars)
could you help me with this
Do the equations 3x + 2y =7 and y= -x + 7 define the same line . plsssss help
9514 1404 393
Answer:
no
Step-by-step explanation:
When the second equation is put in standard form like the first equation is, then you can see they are different. They do not define the same line.
3x +2y = 7
x + y = 7 . . . . . second equation in standard form
Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1
Answer:
x = 1[tex]\frac{1}{6}[/tex], y = 3[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
y = -2x + 6 --- Equation 1
y = 4x - 1 --- Equation 2
Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.
-2x + 6 = 4x - 1
Isolate the like terms.
6 + 1 = 4x + 2x
Evaluate like terms.
6x = 7
Find x.
x = [tex]\frac{7}{6}[/tex]
x = 1[tex]\frac{1}{6}[/tex]
Substitute x = [tex]\frac{7}{6}[/tex] into Equation 2:
y = 4x - 1
y = 4([tex]\frac{7}{6}[/tex]) - 1
= 4[tex]\frac{2}{3}[/tex] - 1
y = 3[tex]\frac{2}{3}[/tex]
What is the correct value of x?
Answer:
x= -5
Step-by-step explanation:
First get X alone by dividing both sides by -4.2
-4.2x=21
-4.2. -4.2
then you're left with X = -5
To verify your answers, multiply -5 by -4.2
Write an expression equivalent to 4(6x + 12), and state the property you used to write it.
Answer:
4(6x) + 4(12) Used distributive property
Step-by-step explanation:
Answer:
distributive property
Step-by-step explanation:
4(6x) + 4(12) Used distributive property
The line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit. Write an equation in slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike.
The equation of the line will be written as y=2x+4 because $2 per hour and then adding your $4 deposit.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit.
The equation of the line is,
y = 2x + 4
Here, $2 per hour and then add your $4 deposit.
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So this is a work in progress, sorry Fundy looks weird, this is their reaction to Tommy getting exiled- again
Answer:
it looks decent just give it make it more detailed otherwise it looks good
Answer:
your drawing is good but I can't understand your ques
What is the 9th term in the geometric sequence?
a(n)=-6⋅(2)^(n-1)
A. -1536
B. 1536
C. 3072
D. -3072
A cell phone plan costs $200 to start, then charges $50 per month to maintain the account. How much will you pay for x months of cell phone use?
How much money will you have paid (total) after 14 months of cell phone service?
NEED HELP ASAP DUUE AT 4:00 pm EST
Answer:
$900
Step-by-step explanation:
add 200 to 50 times 14
Answer:
900
Step-by-step explanation:
200+50(14)
200+700
900
The equation, y = 36/x, is an example of what kind of variation?
a.) direct variation
b.) inverse variation
Answer: Inverse variation
Write an inequality for the graph.
The image is of a number line on which a line is drawn to the left of number -0.5 excluding it.
Answer:
hi .................
Which equation has a solution of x = 2? Choose ALL that apply.
A.)-2(x – 4) = 4
B.)26/x=13
C.)4(x - 1) - 3(x - 2) = -8
D.)6x - 4x = 6
Answer:ibbhbh
Step-by-step explanation:
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Alya loves to read. She read 90 pages in half an hour. How many pages does she read per minute?
Answer: 3
90 pages in 30 minutes so divide 90 by 30 and 90 divided 30 = 3
Hope this helps!
Answer: 3
Step-by-step explanation:
Step 1: Divide 90 by 30
Step 2: 90 divided by 30 = 3
pls help i will give 15 brainly points
Solve for 0
Answer:
24.15°
Step-by-step explanation:
sinΦ = 18/44
Φ= 24.15°
Joshua chose a mystery number. His mystery number is a factor of 42. Which number could be Joshua's mystery number?
A). 5.
B). 3.
C). 4.
D). 9.
Answer:
c. 3
Step-by-step explanation:
5 can only have factors like 10, 15. 4 is not it because 4x10 is 40 and it cant be 42 and then 9x5 is 45. Your welcome. Pls mark brainliest :)
An online furniture store sells chairs for $200 each and tables for $750 each.
Every day, the store can ship a maximum of 16 pieces of furniture and must
sell at least $6000 worth of chairs and tables. If x represents the number of
tables sold and y represents the number of chairs sold, write and solve a
system of inequalities graphically and determine one possible solution.
fasttt ans nthis plsssssssssssssssssssssss