Answer:
[tex]h(t) = -5(t-2)^2+20[/tex]
20 meters
Step-by-step explanation:
The vertex form of the equation is h(t) = -5(t-2)^2 - 4 and the ball was 20 meters above the ground
Vertex form of an expressionThe standard vertex form of a quadratic equation is expressed as (a-h)^2 + k
Given the height of the ball (in meters above the ground) t seconds after Sara kicked it is modelled by h(t)=-5t^2+20t
Write in vertex form
h(t)=-5t^2+20t
h(t) = -5(t^2 - 4t)
h(t) = -5(t^2 - 4t + 2^2) - 2^2
h(t) = -5(t-2)^2 - 4
Hence the vertex form of the equation is h(t) = -5(t-2)^2 - 4
At the highest point t = -b/2a
t = -20/2(-5)
t = -20/-10
t = 2ssecs
Substitute t = 2 into the function
h(2) = -5(2)^2 + 20(2)
h(2) = -20 + 40
h(2) = 20 meters
Hence the ball was 20 meters above the ground
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How can i explain it and whats the answer?
Answer:
a) (5,3)
Step-by-step explanation:
For the X coordinate, 1+4=5
For the y coordinate 8-5=3
An elevator started on the first floor, went up 18 floors, then came down 11 floors and went back up 16.
1 + 18 - 11 + 16
1 - 18 - 11 + 16
1 + 18 + 11 - 16
1 - 18 + 11 - 16
Answer:
1+18-11+16
Step-by-step explanation:
if the elevator went up it will be plus but if the elevator came down it will be minus and then you will get 1+18 because it went up and then it go down 11 floor and it will be 1+18-11 and then it went up again 16 floor so the last answer will be 1+18-11+16
PLEASE HELP! URGENT!
1: Write an equation of the line that passes through the points (−2,−7) and (0,−4).
2:Write an equation of a line that passes through the point (2,1) and is perpendicular to the line y=13x+2.
3:You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 weeks the account holds $133. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer:
1: y=(3x/2)-4 2 :y=(-x/13)+(15/13) 3: y = 13x+55
Step-by-step explanation:
1:
Begin by finding slope
m = (y2-1)/(x2-1)
(-7-(-4)/(-2-0) = 3/2
next use point slope form
y-y1 = m(x-x1) (you can pick any point to use, I will use (0,-4)
y-(-4) = 3/2(x-0)
y+4 = 3x/2
y=(3x/2)-4
2:
The slope of the line y=13x+2 is 13
Take the opposite sign and reciprocal of 13 to get the slope of the line perpendicular; in this case it's -1/13
Next, just like in problem 1, use point slope form.
y-1 = (-1/13)(x-2)
y-1 = (-x/13)+(2/13) (convert 1 to 13/13 for like terms and bring over to the left side)
y=(-x/13)+(15/13)
3:
the intercept will be $55 since it's the initial amount
you know that you deposit some amount every week so set this up as an equation
$133 = m(6)+$55 (the amount deposited every week times 6 +the initial $55 will equal $133)
solving for m gets you $13
so the equation is y = 13x+55
plug in 6 for x to check; 13x6 + 55 = 133
hope this helps
Slopes of perpendicular lines are _____.
a. negative reciprocals
b. the same
c. reciprocals
d. opposites
Answer:
Correct: Option a. negative reciprocals
Step-by-step explanation:
Perpendicular lines are defined as those who intersect at an angle of 90°.
There is an easy way to find out if two equations of lines correspond to perpendicular lines or not.
If line 1 is
y=m1x+b1
And line 2 is:
y=m2x+b2
The condition for the lines to be perpendicular is that:
m1*m2=-1
Solving for m2:
[tex]\displaystyle m2 = -\frac{1}{m1}[/tex]
As seen, both slopes are negative reciprocals.
Correct: Option a. negative reciprocals
Do 4x and 15 + x have the same value when x is 5? Explain your reasoning
Answer:
Yes, they do have the same value
Step-by-step explanation:
4(5)=20
15+5= 20
Answer: Yes
Step-by-step explanation: 15+5 is 20, and 4(5) is also 20, so 20=20
is | x - 5 | < 22 a intersection or union?
Answer:
union
Step-by-step explanation:
because yes
How many solutions does the equation have?
2x + 5 = 4x + 1
one solution
no solution
infinite solutions
Answer:
The answer is x=2, so one solution
Answer:
one solution
Step-by-step explanation:
The two lines only intersect one time.
what is 35/9 as a proper fraction
Answer:
3 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
just answer number 2
Answer:
C
Step-by-step explanation:
just is lol please make me brainliest
PLEASE HELP MEEEE!!!
What strategies can you use to solve a linear equation such as 136x+6) = X+8? Your answer:
Answer:
Simplify each side of the equation as much as possible. ...
Collect all the variable terms on one side of the equation. ...
Collect all the constant terms on the other side of the equation. ...
Make the coefficient of the variable term to equal to 1. ...
Check the solution.
Step-by-step explanation:
the following items were bought on sale complete the missing information in the table
Triangle ABC is dilated by a scale factor of 4 to from triangle A’B’C.
The coordinate of vertex A’ are (8,4) ( -4,2) (4,-8) (-8,4
The coordinate of vertex B are (6,6) (12-12) (-12,12)
The coordinate of vertex C are (2,6) (-4,12) (12,-4)
Answer Triangle ABC is dilated by a scale factor of 4 to from triangle A’B’C. The coordinate of vertex A’ are
Step-by-step explanation:
Is the angle between side AE and DE, angle AED or just angle E?
URGENT!!!
Answer:
just angle E
it could have 3 different names tho
1 ADE
2 CEB
3 E
so it could be either of them
Find each unit rate. Round your answer to the nearest hundredth.
2.
192 students in 4 buses
in each bus
1. type 800 words in 12 minutes
words per minute
3. 357 miles in 5 hours
miles per hour
5. a 10-1b bag of cherries for $33.49
per lb
4. 8 ducks for $23.60
S
per duck
6. 12 chickens lay 30 eggs
cges per chicken
7. Earn $134 in 8 hours
per hour
8. 3 pizzas for $19.99
each
9. 3500 calories for 6 servings of pie
calories per serving
$37.29 for 2 pairs of jeans.
cach
10. 351 chairs in 27 rows
chairs in each row
12
$37.29 for 2 pairs of ducks
per duck
13
24 senior citizens in 12 RVS
in each RV
14. 7 penguins for S188.88
cach
Someone tell me this i'm not smart
Write 2,743,000 in scientific notation.
Answer:
2.743 x 10 6
Step-by-step explanation:
Answer:
2.743 x 10^6
Step-by-step explanation:
Which expression is equivalent to StartFraction 1 Over 1 minus 2 sine squared (x) EndFraction?
StartFraction 1 Over cosine (2 x) EndFraction
StartFraction 1 Over sine (2 x) EndFraction
Cosine (2 x)
Sine (2 x)
Answer:
A. 1/cos(2x)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge
5x+21-7x=-3+3+x-4x+6
Last week, Shiloh owed her brother $25.50. This week, she owes him another $6.30, for a total of $31.80.
The story above can be modeled by the addition problem -25.50 + (-6.30) = -31.80. Write a related story that is modeled by the division problem -31.80 ÷ 6 = -5.30.
Answer:
Sarah had $31.80 and she owed 6 friends money.So she owes each friend $5.30.
Hope i helped please mark brainliest
HELP PLEASE THIS IS DUE
Graph each equation.
6x + 3y = 6
Answer:
A
Step-by-step explanation:
y=−2x+2
prove: sinx tanx + sinx/tanx = 1/cosx
Answer:
Look at step-by-step explanation.
Step-by-step explanation:
First write everything in terms of sin and cos:
(sinx)(sinx/cosx) + (sinx)/(sinx/cosx) = (1/cosx)
Then simplify the expression where you can:
(sin^2)/(cosx) + (cosx) = (1/cosx)
Next find a common denominator and add the two numbers on the left side of the equation:
(sin^2)/(cosx) + (cos^2x)/(cos^2x) = (1/cosx)
((sin2^x)+(cos2^x)/(cosx)) = (1/cos)
Finally, use the identity, sin2^x + cos2^x = 1, to simply to numerator:
(1/cosx) = (1/cosx)
what is the domain and range of this function
Answer:
what function
we cant see a problem
Step-by-step explanation:
Which of these situations can be represented by the opposite of -25?
A scuba diver is 25 feet below sea level.
Leon gets paid $25
An airplane descends 25 feet.
Sala has a $25 debt
Answer:
the following 3 are correct statements
A scuba diver is 25 feet below sea level.
An airplane descends 25 feet.
Sala has a $25 debt
Help me on this please
Answer:
B. y=1/3x+4
Step-by-step explanation:
The graph shows a line with a slope of -3. Perpendicular slopes is the reciprocal with a different sign (positive or negative). The perpendicular of -3 is 1/3, and B. is the only option with this slope.
Answer:
B. y=1/3x+4
Step-by-step explanation:
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
0.04 percent
2.0 percent
4.0 percent
37.3 percent
Answer:
It is C. I think
Step-by-step explanation:
A. will just make the investment smaller, not bigger, so not A. It is not B. because it does not give us the result we want. It's not D. because it is too high of an answer. I think it's C. I hope this helps, and I hope it's not wrong, but I do not think it is.
A jar of pinto beans and black beans has a ratio of 1:1. There are 300 pinot beans. How many beans in total are in the jar?
300
1:1
1*300:1*300
300:300
Whenever the two numbers in a ratio are the same it means that they're equal. Hope this helps :)
what is the slope of the following graph?
Answer: 4
Step-by-step explanation:
from point (0,-4), it goes up 4 and over 1, ending at point (1,0)
Answer:
4
Step-by-step explanation:
count the amount of spaces(or lines) to where the second point is(4) and the go right (1) 4/1 simplified is 4.
plz mark brainiest =)
I really need help!!My teacher didn’t explain this!
Answer:
The answer is A -3 is greater than y and y is less than 3
Step-by-step explanation:
I'm not really sure how to solve these either, but if you type the equations into desmos graphing calculator just make sure the highlighted area in desmos is the same as the points on your question and it will be correct.
Katherine is checking the prices of two different catering companies for her wedding reception. Brenda's Bridal Catering charges $300 for a cake plus $18 per person. Sarah's Complete Catering charges $450 for a cake plus $15 per person. Katherine really likes the cake from Sarah's Complete Catering, so she wants to use that company for her reception. Which inequality can be used to find x, the maximum number of people she can invite to the reception so that the total charge from Sarah's Complete Catering is less than the total charge at Brenda's Bridal Catering?
Answer:
Maximum of 50 persons
Step-by-step explanation:
Straight line equation
let the total prices be y
and the number of persons be x
1. Brenda's Bridal Catering charges
the expression for the charges is
y=mx+c
y=18x+300---------------1
2. Sarah's Complete Catering charges
the expression for the charges is
y=mx+c
y=15x+450---------------2
equating 1 and 2 we can then solve for the number of guest as
18x+300=15x+450
18x-15x=450-300
3x=150
divide both sides by 3
x=150/3
x=50
x<=50
Therefore she can invite a maximum of 50 persons
constant of proportionality.
what is a constant of proportionality?
Answer:
y=k/x
Step-by-step explanation: