[tex]y = a {(x - h)}^{2} + k[/tex]
where a-term determines the shape of graph.
h-term determines the change of graph for x-axis.
k-term determines the change of graph for y-axis.
Vertex of the graph is at (h,k).
Substitute the vertex value in the equation.[tex]y = a {(x - 7)}^{2} + 2[/tex]
We need to find the value of a-term. We have the given root which we can substitute in the equation.
Also the roots are on x-axis, meaning that the y-value for roots must be 0.
Substitute (5,0) in the equation.[tex]0 =a {(5 - 7)}^{2} + 2 \\ 0 =a {( - 2)} ^{2} + 2 \\ 0 = 4a + 2[/tex]
Solve for a-term.[tex]4a + 2 = 0 \\ 4a = - 2 \\ a = \frac{ - 2}{4} \\ a = - \frac{1}{2} [/tex]
Therefore the value of a is - 1/2. Rewrite the equation as we get the answer.
Answer[tex] \large \boxed{y = - \frac{1}{2} {(x - 7)}^{2} + 2}[/tex]
Can someone plz help me :( !!
Answer:
123
Step-by-step explanation:
hope this helps
Answer:
option.d 123°
DETAILED EXPLANATION:
angle JIK+ angle IJ L= 1 80 ( By CO Interior angle )
57° + angle IJL= 180°
angle IJ L = 1 80°-57°
angle IJL=123°
What is the value of -2(x + 3)
A landscaper is constructing a rectangular garden with an area of 108 square feet. He draws the garden on paper and represents the length as and the width as (x-1) . Find the length and the width of the garden(x-4). Select all that apply
7 feet
8 feet
9 feet
12 feet
13feet
plssss help
The length and width of the garden is 12 feet and 9 feet respectively.
Given that, length of garden [tex]=(x-1)[/tex]
Width of garden [tex]=(x-4)[/tex]
Area of garden is 108 square feet.
[tex]Area=length*width\\\\108=(x-1)*(x-4)\\\\x^{2} -5x+4=108\\\\x^{2} -5x-104=0\\\\x^{2} -13x+8x-104=0\\\\x(x-13)+8(x-13)=0\\\\(x-13)(x+8)=0\\\\x=13,x=-8[/tex]
Since, side can not be negative.
So we will consider, [tex]x=13[/tex]
Length[tex]=x-1=13-1=12feet[/tex]
Width[tex]=(x-4)=13-4=9feet[/tex]
Learn more:
https://brainly.com/question/21067938
if the original price is $40 and the discount price is $25, what is the percent discount?
Answer:
i think its 62.5%
Step-by-step explanation:
have a good day :)
Answer:
37.5%
Step-by-step explanation:
Ok I always do these problems in a weird way cuz im autistic but here's my process...
10% of 40 is 4
5% of 40 is 2
2.5% of 40 is 1
4 goes in to 25 6 times
4x6=24
which is one less than 25
so there's six 10%s which is 60%
plus the extra 2.5%
so it's 62.5%
so the item is 37.5% off...
Two cars leave at the same time from two cities that are 374 miles apart
and travel towards each other. Car 1 travels 50mph and Car 2 travels 60mph. How
long do they travel before they meet?
Answer:
They travel for 3.4 hours before they meet.
Step-by-step explanation:
Given that:
Distance between the cities = 374 miles
Speed of Car 1 = 50 mph
Speed of Car 2 = 60 mph
As the cars are moving towards each other,
Combined speed = 50 + 60 = 110 mph
We know that:
Distance = Speed * Time
374 = 110 * Time
Time = [tex]\frac{374}{110}[/tex]
Time = 3.4 hours
Hence,
They travel for 3.4 hours before they meet.
help this is frustrating
Answer:
kmijopijoijojoji
Step-by-step explanation:
Answer:
52 flowersStep-by-step explanation:
We can observe the pattern:
1. ⇒ 2*2 + 1*0 = 42. ⇒ 3*2 + 2*2 = 103. ⇒ 4*2 + 3*4 = 204. ⇒ 5*2 + 4*6 = 345. ⇒ 6*2 + 5*8 = 52...n. ⇒ 2(n +1) + n(2n - 2) = 2n² + 2Plz, help me thank you I really need it :)
Answer:
D and B
Step-by-step explanation:
HELP PLS ITS DUE IN AN HOUR
Answer:
MP7
Step-by-step explanation:
Answer:
6 < sqrt(41) <7
Step-by-step explanation:
6^2 = 36; 36 < 41
7^2 = 49; 49>41
can someone answer my last question please i will give brainly for correct answer
https://brainly.com/question/20746225
Answer:
its 32
Step-by-step explanation:
Trust me
What is the slope? (IXL)
Answer:
5/3
Step-by-step explanation:
Leila (y) is 3 years older than her sister Joan (x). The equation x+3=y
gives Leila's age. What is the dependent variable?
Answer:
y
Step-by-step explanation:
The value of y is dependent on the value of x+3 because y represents leilas age.
Answer
3x+y
Step-by-step explanation:
Please help giving 20 points thank you
Answer:
B
Step-by-step explanation:
plzz help 15 points.. .. . .
Answer:no solution
Step-by-step explanation:
help please! :(
"To estimate the height of a tree, Tia and Felix walk away from the tree until the angle of sight with the top and bottom of the tree is a right angle. Let h represent the height of a person's eyes and d represent the distance away from the tree. Answer parts a to c below."
(multiple parts, but only a is showing rn)
a. If the height of Tia's eyes is 1.6 m and her distance away from the tree is 2.5 m, what is the height of the tree?
The height of the tree is about ___ meters/square meters.
(insert #, then choose one).
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
5.51 meters
Step-by-step explanation:
2 times the radius equals the....
Answer:
diameter
Step-by-step explanation:
double the radius is the diameter
The perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation . The local kennel allows "Siler" families to pay a rate of $36 per day. for a fee, families can buy a "Gold" membership and will be allowed to board their dogs at a discounted rate as shown in the table. What is the cost of a Gold membership?
Answer:
it is $50
Step-by-step explanation:
i did the quiz
What is 10 as a percentage
Which is the solution to the equation? 9 =n+3
Answer:
n=6Step-by-step explanation:
9=n+3
n+3=9
n+3-3=9-3
n=6
find
[tex]x + y + z[/tex]
[tex]x = 70 digree [/tex]
[tex]z = 40digree[/tex]
[tex]find y[/tex]
Answer:
x = 110
y = 110
Step-by-step explanation:
Here, we are going to apply an important triangle property
The sum of opposite interior angles equal the exterior angle of the third side
Thus, we have that;
y = 70 + 40 = 110
As we can see, the third angle in the triangle will be;
180-70-40 = 110
This is because sum of angles = 180
Thus, applying the exterior angle relationship,
x = 70 + 40 = 110
There are 4 consecutive odd integers that sum to 344. Which integers are they?
Answer:
The consecutive odd integers are 83, 85, 87 and 89.
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 344
4x + 12 = 344
4x = 344 - 12
4x = 332
x = 332/4
x = 83
x + 2 = 85
x + 4 = 87
x + 6 = 89
Hope this helps
PLEASE HELP ILL GIVE BRAINLYEST ANSWER
1. Derek must wear a uniform at the school he attends. His shirts
come in the colors blue, white, yellow, and black. Derek can wear
shorts or pants with his uniform. Both the shorts and pants come
in the colors blue, black, and tan
List the sample space for the different outfits Derek can make
from his uniform choices for school
How many total combinations are there?
If Derek randomly picks a shirt, what is the probability, written as
a fraction, decimal and percent that he will pick a yellow shirt?
Yellow shirt probability is 1/4, 0.25 and 25%
312.4 308.6
Find the domain
And i will give brainliest
Answer:
What is the function
Step-by-step explanation:
Answer:
what???
Step-by-step explanation:
Please help me with 1, 2, 3, and 4. Please.
Answer:
on the picture
hope it's helpful ❤❤❤
THANK YOU
you would 'b' be in '-20= -8(4)+b'
Divide 64 bundles of newspapers into two groups so the ratio is 3 to 5.
Answer:
24 newspapers
40 newspapers
Step-by-step explanation:
the sum of ratios = 3 + 5 = 8
total newspapers in the first group = [tex]\frac{3}{8}[/tex] x 64 = 24 newspapers
total newspapers in the second group = [tex]\frac{5}{8}[/tex] x64 = 40 newspapers
What is this number in standard form?
(8×10)+(2×1100)+(9×11,000)
Answer:80.029
Step-by-step explanation:
lul JAJAJAJJAJAJKJSAHDKJHWAKJSHD
Answer:
ksjajajajakkkakakaakakkajjjjjj
the logo shown has a total area of 125cm^2 and the square has a side length of 5cm. Calculate the width of the logo
Answer:
25cm
Step-by-step explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Alex determined that his average speed when he commuted to work is 35 miles per hour. What conversion factor can
be used to convert this speed to feet per hour?
1 mile
O 5,280 feet
o
1 hour
5,280 feet
O
5,280 feet
1 mile
O
5,280 feet
1 hour
Answer:
The Answer is C= 5,280 feet Over 1 mile
Step-by-step explanation:
There you go
Answer:
The Answer is C= 5,280 feet Over 1 mile
Step-by-step explanation:
cause i got itt on edge and it was a exam so like
and i got 100
2021 edge
Evaluate:
-48 + 9 - 18
Ik what the answer is
I will just give you hella points
Answer: -57
Step-by-step explanation: -48 + (9 - 18) -48 + -9 = -57