Answer:
h = 9
k = -8
Step-by-step explanation:
⭐ [tex]g(x) = (x-h)^2 + k[/tex] is already written in vertex form.
⭐ Vertex form: [tex]f(x) = a(x-h)^2 +k[/tex], where the vertex is (-(-h), k)
We are already given the vertex (9,-8), so we have to substitute these numbers into g(x).
[tex]g(x) = (x-9)^2 -8[/tex]
The equation of parabola is solved and the values of h and k are 9 and -8 respectively
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
The vertex form of a parabola function is given by:
g(x) = a(x - h)² + k
where (h, k) is the vertex.
In this case, we are given that:
g(x) = (x - h)² + k
And the vertex is located at (9, -8)
So we have:
h = 9
k = -8
Therefore, the function g(x) can be written as:
g ( x ) = ( x - 9 )² - 8
Hence , the equation of parabola is g ( x ) = ( x - 9 )² - 8
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Help! Quickly!
I beg thy to help.
Answer:
I think that B is the correct answer , 353.3 ft2 .
Good luck ^^
Christine biked 36 miles in 6 hours. What is her average speed in miles per hour? Please answer
Answer:
6 mph
Step-by-step explanation:
36 divided by 6
Answer:
6 mph
Step-by-step explanation:
To find his average speed for each mile per hour, you start by dividing with the miles by the hours:
[tex]36\div6=6[/tex]
If you multiply 6 by 6, you'll get 36.
6 is your final answer!
Find the value of 4 of 5 of 1000
25 4
with step by step explaination please thank you
Answer:
4 of 5 = 4/5
4/5 of 1000 = 1000/5×4 = 200×4 = 8004/5 of 4 = 4/5×4 = 16/5 = (3.2)4/5 of 25 = 25/5×4 = 5×4 = 20Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
Which of the following is a numerical expression that involves addition?
x + 5
3 + 5
5x
6 – x
Answer:
a i think im sorry if wrong
x - 10.2 > 5.3
PLSSSSSS HELP ME SOLVE THIS PROBLEM!!!!...
Answer:
x>15.5
Step-by-step explanation:
x - 10.2 > 5.3
Add 10.2 to both sides
x-10.2+10.2>5.3+10.2
Simplify getting the answer of
x>15.5
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.6
Step-by-step explanation:
somtimes you gotta pay attention to you're math teacher
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Hypotenuse² = Base² + Length²
The height of the building is 32.8 feet
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.
This can be written as,
Hypotenuse = 26 feet
Base = 20 feet
Height = height of the building
Now,
Applying the Pythagorean theorem.
Hypotenuse² = Base² + Length²
26² = 20² + Height²
Height² = 676 + 400
Height² = 1076
Height = √1076
Height = 32.8 feet
Thus,
The height of the building is 32.8 feet
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Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?
Answer:
270
Step-by-step explanation:
45 * 6 = 270
Find the perimeter of the figure.
Answer:
97
Step-by-step explanation:
The perimeter is adding each side together, the equation is 3+33+15+33+3+10
sum of 12.5 and product of 36
I mean 2 variables add up to 12.5
and multiply to 12.5
(x+y)=12.5
X ×Y=36
What is value of x and y
Answer:
(4.5, 8) and (8, 4.5)
Step-by-step explanation:
Given the equations
(x+y)=12.5 ... 1
X ×Y=36 .... 2
From 2, Y = 36/X
Substitute into 1
x+ 36/x = 12.5
x^2 + 36 = 12.5x
x^2 - 12.5x + 36 = 0
10x^2 - 125x + 360 = 0
2x^2 - 25x + 72 = 0
Factorize
2x^2 - 16x - 9x + 72 = 0
2x(x-8)-9(x-8) = 0
2x-9 = 0 and x-8 = 0
x = 9/2 and x = 8
when x = 9/2
Y = 36/(9/2)
Y = 36 * 2/9
Y = 8
When x = 8
Y = 36/X
Y = 36/8
Y = 4.5
Hence the solutions are (4.5, 8) and (8, 4.5)
Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther?
Answer:
hector's toy
Step-by-step explanation:
it traveled .02 m farther
Answer:
Step-by-step explanation:
Think money
which is more 70 cents or 72 cents?
The answer should be 72 cents.
So .72 - .70 = 0.02
.72 is larger.
Need ASAP will give brainliest!
Answer:
c
Step-by-step explanation:
hiiii
No Explanation Please Don't Answer
which one should I be picking?
Answer:
x = 9
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then
the segment is half the length of the 3rd side , that is
3x = 0.5 × 54 = 27 ( divide both sides by 3 )
x = 9
9 4/5 divided by 3 2/11
In 2010, the population of a city was 124,000. From 2010 to 2015, the population
grew by 5%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was
the population in 2020?
Answer:
is 125,000
Step-by-step explanation:
What is the result of factoring out the GCF from the expression 24 + 36
Answer:
the gcf of that is 10.
Step-by-step explanation:
the letters in the word “SOCCER” are cut apart and placed in a bag. one letter is drawn from the bag. what is the probability of the choosing letter c?
Answer:1/3
Step-by-step explanation: You have 6 letters in SOCCER. There are 2 letters that are in the word soccer that are C. So, 2/6 would simplfy to 1/3 which would mean that you have a 1/3 chance of getting the letter c
what is the slope of the line that passes through the points (5,-5)and(4,2)
Answer:
-7
Step-by-step explanation:
To find the slope of an equation, you need to plug the coordinates into the slope formula.
y2 - y1/ x2 - x1
2 - (-5) / 4 - 5
= 7 / -1
= -7
The equation of the line shown in the graph is y = ?.
Answer:
y=5x-5
Step-by-step explanation:
we start from -5 and go rise/run so its 5
Please help me it’s due in 1 hour
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
25 points and brainiest
2. If you get paid hourly, making $1000 a week, but work 65 hours per week how much are you making hourly?
3. If you get paid hourly, making $25.00 an hour, but work 20 hours’ overtime per week, what is your weekly pay?
4. If you get paid hourly at a job making $25.00 an hour, but have to call in sick for one day of work, how much would you get paid at the end of the week assuming you normally work 40 hours and get no sick leave.
The Venn diagram shows the results of two events resulting from rolling a number cube.
Events C and D are____.
conditional and dependent
independent
dependent
conditional
Events C and D are conditional and dependent events.
What can we say about events C and D?By looking at the Venn diagram, we can see that C is the event where the outcome of the dice is even.
While D is the event where the outcome is odd.
So events C and D have no common elements.
Now, the value of these events is related in any way?
if C is true (the number is even) then D must be false.If C is false, then D must be true.Then the events are dependent and conditional, the correct option is the first one.
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Determine the distance between the points (-5, -3) and (3, 1).
Answer:
(8,4)
Step-by-step Explanation:
Answer:
4√5
Step-by-step explanation:
For A-D, choose Yes or No to indicate whether the situation can be represented by a negative number.
A. A student answered a 5-point question correctly.
B. Mila lost 30 points answering a question incorrectly.
C. A dog loses 13 pounds.
D. The average temperature in a city last month was 68°F.
OYes No
OYes No
OYes No
OYes No
Answer:
A. NO
B. YES
C: YES
D: NO
Step-by-step explanation:
Angles in circle solve for each variable
Answer:
Step-by-step explanation:
8) Crystal and Kelly are selling pies for a school fundraiser. Crystal sold 12 apple pies and 9 lemon meringue pies for $129. Kelly made $92 by selling 5 apple pies and 8 lemon meringue. Find the cost of one apple pie and one lemon meringue pie.
Ms. Seith had 4 7/12 boxes of jelly beans but she ate 2 1/12 of the jelly beans on her way to school. How many jelly beans were left in the box when she arrived at school?
Answer:
ur mom
Step-by-step explanation:
O0O
1. 48 cm
2. 30 cm
3. 24 cm
4. 54 cm
what's the answer
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how
many miles did the bus travel per hour?
Answer:
55 miles per hour
Step-by-step explanation:
.......ur welcome.......
330÷6=55
we divide the amount of miles by the time it took the bust to travel
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel approximately 55 miles per hour.
To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.
Given:
Total distance traveled = 330 miles
Time taken = 6 hours
To find the miles per hour, we divide the total distance traveled by the time taken:
Miles per hour = Total distance traveled / Time taken
Miles per hour = 330 miles / 6 hours
Miles per hour ≈ 55 miles per hour
Therefore, the bus traveled approximately 55 miles per hour.
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Full Question
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?
(No graph Needed)