Answers
Answer:
The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]
Now factor out the coefficient of the quadratic term:
[tex]h(t)=-5(t^2 -2t) + 6[/tex]
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]
Now take the balancing term out of the parenthesis:
[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]
Simplify:
[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
[tex](1, 11)[/tex]
Related Questions
#1) Catherine takes AC transits to school and the bus travels 35 blocks in 7 minutes. At this rate, how long
should the ride take if Catherine's school is 50 blocks away from her house? Explain how you know.
Answers
Is it the first one the second one the third one the fourth one ??not to be rude but please hurry !!! 20 points !!!
Answers
Answer:
5/6 ÷ 1/12 = 10
Step-by-step explanation:
5/6 ÷ 1/12 = 5/6 x 12/1 = 60/6 = 10
Proof:
5/6 tank = 10/12 tank
If each trip takes 1/12 tank, then 10 ÷ 1 = 10 trips
Plz help me with this
Find The Product of:
[tex] \sqrt[3]{2} \times \sqrt[6]{5} [/tex]
Answers
Answer:
Step-by-step explanation:
You can find the cube root of 2 and multiply it by the 6th root of 5.
cube root(2) = 2^(1/3) = 1.2599
6th root of (5) = 0.7418
Product = 1.2599 * 0.7418 = .9346
You need a key that will do fractional powers. Look around on your calculator for ^ that key y^x or x^y.
Using one of those keys, you would put in 2 ^ 0.33333333 =
If your calculator does not have this key (I recommend you buy one that does. They are less than 10 dollars), then you can use the calculator on windows.
Can anyone help me please ?
Answers
Carly had some markers. After she bought 16 more, she had 40 markers. How
many markers did Carly start with?
Answers
Answer:
24 markers
Step-by-step explanation:
24+16=40
40-16=24
Solve the equation for x, and enter your answer in the box below.
x + (-12) = 11
Answer here
Answers
+12 +12
x =23
Answer:
X=23
Step-by-step explanation:
x + (-12) = 11
Open the bracket
x-12=11
Collect like terms
X=11+12
X=23
name a pair of parallel lines
Answers
HELP ME PLEASEEEE I DONT WANNA FAIL
Answers
I think it's "D. -16"
I could be wrong though just saying!
If 1/2 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the
entire wall?
Answers
Answer:
24
Explanation:
½ gallons × 12 = 6 (gallons of paint needed to cover the whole wall)
6 gallons = 24 quarts
i hope this helps! :D
if prism A and B have a ratio of similarity of 6:11, what is the volume of prism B if the volume of prism A is 96 cubic units
Answers
Answer:
176cubic units
Step-by-step explanation:
a:b
6:11
a=96
6/11=96/x
6x=1056(96×11)
x=176 cubic units
I need this answered as soon as possible
Answers
Answer:
34
Step-by-step explanation:
basically you need to actually put something in the black photo there
Answer:
its black Ф_Ф
Step-by-step explanation:
use long division method to calculate 102 024 ÷ 156
Answers
I have done the working in a paper
A TV has an original price of
$499. Find the new price given a 10% increase
Answers
499 x 0.1 = 49.9
499 + 49.9 = 548.9
1. Compute the percent of Mikki's Mathematics score. That is compute P X( 5 60).
Circle your answer below
(a) P X( <= 60 78.81%) |
(b)P X( <= 60 34.46%)
©PX( 1= 6
= 60 88.49%)
a) P X( 3 = 60 50%)
(e) P X( 5 = 60 95.54%)
Answers
Answer:
sorry kid idontknow
Step-by-step explanation:
Estimate by rounding the largest number to tens and then multiplying. 311 × 5 is approximately
Answers
Answer:
1550
Step-by-step explanation:
311 to 10s would be 310
310x5= 1550
Sofia rides her bike at a constant speed.
Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.
Which of the following ordered pairs could Sofia add to the graph?
Answers
Answer:
Its up then to the left power is 13 so (98-=) is the 4
Step-by-step explanation:
It works because if you use the electron theory by leonard jefford then it will be 98-74wis the 4 to the 13
Answer:
Step-by-step explanation:
its c
(6,60)
UHHHH HELP ME PLEASE THANK U
Answers
Answer:
The average or mean of the two fights would be 19.5
Step-by-step explanation:
Basically all you have to do for this problem is add the total scores of the two fights and then divide by 2 to find your mean. 32 plus 7= 39/2= 19.5
A forest covers 58,000 acres. A survey finds that 0.7% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Answer:
406
Step-by-step explanation:
0.7 % / 100 = 0.007
58000 * 0.007 = 406 acres
True or false please
Answers
It goes completely diagonal so True
Have a good day!
(It also has matching points at the middle if you need more evidence XD)
You need a loan for your new house that you want to buy. The amount you borrow is $550,000 and the annual interest rate is 2% for 30 years. How much interest do you need to pay?
Answers
Answer:
Step-by-step explanation:
Principle x Rate x Time
(550,000) (0.02) (360) = 3,960,000
Interest = 3,960,000
Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!
Answers
Answer: Not a right-angled triangle
Step-by-step explanation:
Given
The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]
For a right-angle triangle, it must satisfy the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides
Here,
[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]
Therefore, it is not a right-angle triangle
A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...
Answers
Tn=-2n+19
Step-by-step explanation:
Well in south africa we use Tn
Tn=a+(n-1)d
a=is the first term in the sequence which is 17
d=is the the difference between the terms which is - 2
Tn=17+(n-1)(-2)
Tn=17-2n+2
Tn=-2n+19
A local artist, Sally, had a total of $2,610 at the end of the State Art Fair. She sold each of her paintings for $45. How many paintings did she sell?
Answers
You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?
Answers
A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;
y = mx + c
y = 20x - 80
In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.
Read more on slope-intercept here: brainly.com/question/7889446
#SPJ1
X+3y=17 -2x+3y=-7 how do you solve it
Answers
Answer:
X+3y=17 is x=−3y+17
-2x+3y=-7 is x= 3 /2 y+ 7 /2
Step-by-step explanation:
find the volume of the solid figure
Answers
Answer:
Volume= Length × Width × Height
plz help me with the puiz
Answers
find the solution of given expression
[tex] \sqrt{652 \times 652} [/tex]
Answers
Answer:
652
Step-by-step explanation:
[tex]\sqrt{652 \times 652}[/tex] is equal to [tex]\sqrt{652^{2} }[/tex], and the square root of a number squared is always the original number, so [tex]\sqrt{652^{2} }[/tex] is equal to [tex]652[/tex].
Answer:
√{652×652}=√652²=±652
Step-by-step explanation:
Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?
The side lengths of 8 cm, 5 cm and 13 cm _______ form a triangle.
Drop down options:
cannot
can
Answers
The rule says that the sum of any two sides has to be smaller than the third side so, no it can't
Which dilation is shown by the graph?
Answers
Answer:
D. D₂ (∆XYZ)
Step-by-step explanation:
Dₙ = (x,y) → ((n)x, (n)y)
_________________
X = (-1, 2).
Y = (2, -1).
Z = (-2, -1).
_________
Dₙ ∆XYZ:
X(-1, 2) → X'(-2, 4)
Y(2, -1) → Y'(4, -2)
Z(-2, -1) → Z'(-4, -2)
______________
-2 / -1 = 2, 4 / 2 = 2.
4 / 2 = 2, -2 / -1 = 2.
-4 / -2 = 2, -2 / -1 = 2.
_______________
D₂ = (x,y) → ((2)x, (2)y).
X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)
Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)
Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)
_________________________