The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form
Answer:
[tex]y = 5 ( x - 3 ) ^2 -2[/tex]
OR
[tex]y+2= 5 ( x - 3 ) ^2[/tex]
Step-by-step explanation:
Vertex form of a parabola is given as:
[tex]y = a ( x - h ) ^2 + k[/tex]
Where ([tex]h,k[/tex]) is the vertex and [tex](x,y)[/tex] are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).
[tex]h = 3,k = -2[/tex]
First of all, putting the vertex in the vertex equation as given above:
[tex]y = a ( x - 3 ) ^2 + (-2)[/tex]
Now, putting the values of [tex]x, y[/tex] as 2, 3 and let us find the unknown variable [tex]a[/tex]:
[tex]3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5[/tex]
Therefore, the equation in vertex form can be written as:
[tex]y = 5 ( x - 3 ) ^2 -2[/tex]
OR
[tex]y+2= 5 ( x - 3 ) ^2[/tex]
Store A sells a set for $25 and offers a 10% discount. Store B sells a set for $27 and offers a 20% discount. Store C sells a set for $26 and offers a 15% discount.
Answer:
store a's set after discount is $22.5
store b's set after discount is $21.6
store c's set after discount is $22.1
so store b would be the cheapest hope this helps please give me brainliest
Step-by-step explanation:
Heather works at the library. Her weekly income is directly proportional
to the number of hours she works. Last week she worked 16 hours and
earned $116. How much would she earn if she could work 20 hours?
Answer:
$145
Step-by-step explanation:
When you do this type of problem, you want to find the unit rate. In order to do that you divide $116 by 16, and you get $7.25 (how much she make in one hour). Then you multiply $7.25 by 20, and get $145.
Answer:
Step-by-step explanation:
‼️PLEASE HELP!! ASAP‼️Find the missing side
Answer:
10.5
Step-by-step explanation:
ASAP please
Suppose you started at the point (4,5). From there you moved down 10 units and left 8. At what coordinate would you be?
Answer:
umm i think you would be at tje point 4,0
Help please I only have a bit more time?
Answer:
a
Step-by-step explanation:
it should be right
Is -3/4 the same as -3/-4
Answer:
No, they are not.
Step-by-step explanation:
Hope this helped have an amazing day!
Find the value of x in each parallelogram. BOX YOUR ANSWERS!!!!
1.
2.
60°
3.
60°
154
35
4.
5.
85
6.
2
51°
82"
Answer:
1. 120
2. 26
3. 145
4. 95
5. 129
6. 98
Step-by-step explanation:
Number 1:
Remember: Diagonals are congruent (in this case scenario).
Remember: Consecutive angles are supplementary.
☆You are going to subtract 60 from 18p. (You are subtracting it from 180 specifically because the angles are on a straight angle, and a straight angle equals 180 degrees.)
[tex]180 - 60 = 120[/tex]
^Hence your answer^
Number 2:
Remember: Consecutive angles are supplementary.
☆You are going to subtract 154 from 180.
[tex]180 - 154 = 26[/tex]
Number 3:
Remember: Consecutive angles are supplementary.
☆You are going to subtract 35 from 180.
[tex]180 - 35 = 145[/tex]
Number 4:
Remember: Consecutive angles are supplementary.
☆You are going to subtract 85 from 180.
[tex]180 - 85 = 95[/tex]
Number 5:
Remember: Consecutive angles are supplementary.
☆You are going to subtract 51 from 180.
[tex]180 - 51 = 129[/tex]
Number 6:
Remember: Consecutive angles are supplementary.
☆You are going to subtract 82 from 180.
[tex]180 - 82 = 98[/tex]
The original price of watch was $84. In a holiday sale, it was sold at $63. What was the percentage discount for the watch?
Answer:
pretty sure 25% off
Step-by-step explanation:
In which quadrant does the point (13, 18) lie
Answer:
Quadrant 1
Step-by-step explanation:
how I understood this is first understanding how a graph works. Once you understand that you can count 13 horizontal on the "X" Axis, then go 18 up on the "Y" axis. you should get a point in the upper left area and that area is called Quadrant 1. Say if 13 was negative instead of going horizontal east you would go horizontal west. And the point should end up in Quadrant 2. Any more questions feel free to ask me below.
A tree measured 18 1/2 feet tall. Over the next 7 1/2 years, it grew to be 63 1/2 feet tall. During the 7 1/2years, what was the average yearly growth rate of the tree?
Step-by-step explanation:
first subtract how tall is was 7 1/2 years ago from hell with all it is now. 57 - 40.5 = 16.5 or 16 1/2 so and the seven and a half years the tree Grace 16.5 with 16 1/2 seats to get the average yearly growth for the 7 1/2 year. You have to divide 16 and 1/2 ft by 7 and 1/2 Tim Wiles it makes it much easier if you change the fractions to decimals
I really need help I don’t know what todo I will do anything to get the best answer.(if u do 20 I will give 100 points and brain list on next question)!!YOU DONT HAVE TO DO 19 ONLY 17 18 AND 20!!
Answer:
Part A you should look and see what size are hte leaves and does it have flowers and what color is it what does it smell like. Part B that its root system is differently shaped and is new around the area and you could take a sample to try and get an acruate reading on the root system.
Step-by-step explanation:
2(x + 14) = 40
Can you please do all the steps of solving this?
Ex:
8(7+1)3=192
8 x (7+1) x 3
8
8x8=64
64x3=192
total=192
Answer:
6
..........
Step-by-step explanation:
2(x+14)=40
2x+28=40
2x=40-28
2x=12
x=6
Answer:
Step by step in screenshot below. Hope this helps.
Step-by-step explanation:
Natasha is growing a plant for a science project. On monday she measured the plant and found it was 2 1/8 inches tall. On Wedensday she measured the plant and found it was 3 2/8 inches tall. Natasha told her teacher that her plant is 5 3/8 inches from monday to Wednesday
Answer:
Step-by-step explanation:
she is correct?
2 1/8+3 2/8= 5 3/8
b. Factorize using middle term break 3d2 - 16dc – 12c2
Step-by-step explanation:
Given
3d² - 16dc - 12c²
Using middle term break
= 3d² - (18 - 2 )dc - 12c²
= 3d² - 18dc - 2dc - 12c²
= 3d( d - 6c) - 2c( d - 6c)
= ( d - 6c) ( 3d - 2c)
Hope it helps and have a great day onwards ❤
Answer:
= 3d² - (18 - 2 )dc - 12c²
= 3d² - 18dc - 2dc - 12c²
= 3d( d - 6c) - 2c( d - 6c)
= ( d - 6c) ( 3d - 2c)
Step-by-step explanation:
Do you know the answer??????
Answer:
B
Step-by-step explanation:
because when you divide all the answers their hours of training its all different answers
Anybody know this question
Here as by the given information ,
♦ sinA = Opposite/Hypotenuse
♦ cosA = Adjacent/Hypotenuse
♦ TanA = Opposite/adjacent
So here we need to find the same for angle B so we need to use the same formulas for angle B also .
→ sinB = Opposite/Hypotenuse = 12/13
→ cosB = Adjacent/Hypotenuse = 5/13
→ tanB = Opposite/Adjacent = 12/5
.
Which of the following numbers has the same absolute value as 86?
A.-86
B.0
C.-172
D.-43
Answer:
A. -86
Step-by-step explanation:
The absolute value is the distance a number has from zero.
Two numbers that are the same, except that one is positive and negative, will have the same absolute value.
So, -86 and 86 have the same absolute value of 86. This is because they are both 86 away from 0.
So, A is the correct answer.
You are the president of an interior design company. You pay a part-time designer
$200 per week, plus $25 for each completed design. Write an equation to represent this
situation. Use this equation to determine how many completed designs you can have per
week if your weekly design budget is $800?
Answer: 24
Step-by-step explanation:
Okay, so if the part-time designer gets 200 dollars per week, we should subtract 200 by 800.
800 - 200 = 600.
Then we divide 600 by 25, and that will be the amount of completed designs we'll be able to have each week.
600 ÷ 25 = 24.
So in conclusion, you can pay the designer $200 per week and get 24 completed designs from him.
Hope this helps!
How much should Mr.Ajay and his wife save ina month to achieve their financial goal?
Answer:
RM 1000
Step-by-step explanation:
Down payment = 10% of 600 000
[tex]= \frac{10}{100}*600000[/tex]
= RM 60000
5 years = 5 * 12 = 60 months
Amount to be saved in a month = 60000 ÷ 60
= RM 1000
An office manager wants to buy extra desks and chairs for the office. Each desk costs $120, and each chair costs $45. Given that her total budget is $2,500, which of the following best represents the number of desks, x, and the number of chairs, y, she can buy?
Answer:
120x + 45y ≥ 2,500
The ratio table below shows the number of miles Shondra drove in a car for certain amounts of time during a road trip. Driving Distance Hours Driven Miles Driven 1 60 2 120 3 180 4 ? If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
Answer:
Step-by-step explanation:
u take 2(64)-600-94 then u get 120
Answer:
240
Step-by-step explanation:
i had a stroke reading the one above me but i took the test:)
A 14-ounce bottle of Nesquik chocolate milk cost $1.89. What is the cost per ounce?
Answer:
Step-by-step explanation:
1.89/14= .135
estimating to the nearest cent would be .14
Which value is an output of the function?
O-6
O-2
O 4
O7
Solve for elimination x-4y= -9 and -x+3y=7
what expression is equivalent to 5 to the -3rd power
Answer: 1/125
Step-by-step explanation:
Flip the exponent over into a fraction if it is to the negative power. Then do the same as you usually would to find out that it is 5^3 under a fraction.
Answer:
0.008
Step-by-step explanation:
that is what the internet said
A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 202020 meters wide by 404040 meter long rectangle. The company already has 100100100 meters of tape. How much more tape does the company need to tape the site?
Answer:
20 meters
Step-by-step explanation:
A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20 meters wide by 40 meter long rectangle. The company already has 100 meters of tape. How much more tape does the company need to tape the site?
We would have to find the perimeter of this rectangle
Perimeter fo a rectangle = 2L + 2W
In the above question,
L = Length = 40 m
W = Width = 20 m
Hence:
Perimeter = 2(40m) + 2(20m)
= 80m + 40m
= 120m
Hence, he would need 120 meters of tape
From the above Question, the company already has 100m
Hence, the amount of tape that the company needs more =
120m - 100m = 20 m
line e has a slope of -2/9. line f is perpendicular to e. what is the slope of f
Answer:
9/2
Step-by-step explanation:
In order to find the slope of a line that is perpendicular to another line, you must find the opposite and reciprocal of that slope. So, you have 2/9, and then 9/2.
Answer:
slope of f = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{9} }[/tex] = [tex]\frac{9}{2}[/tex]
Which expression is equivalent to 45 + 9
A. 5(49 + 4)
B. 2(43 + 7)
C.9(5 + 1)
D.15 (3 + 6)
Answer:
9(5+1)
Step-by-step explanation:
9 x 5= 45
9 x 1= 9
Answer:
c
Step-by-step explanation:
9(5+1)
distribute the 9 into the ( )
45+9
Question 2 of 10
ALMN is a right triangle.
M
34
16
2
30
N
A. True
B. False
SUBMIT
PREVIOUS
Please help!
Answer:
This is true
LMN is a right triangle