Answer:
(a) graph iii)
(b) graph v)
(c) graph ii)
(d) graph iv)
Step-by-step explanation:
All given equations are in vertex form: y = (x - h)² + k
where (h, k) is the vertex of the parabola
The vertex is the turning point of the parabola, so the minimum point for parabolas that open upward, and the maximum point for parabolas that open downward.
Vertices of the given graphs:
i) (-3, 2)
ii) (-3, -2)
iii) (2, 3)
iv) (3, 2)
v) (-2, -3)
vi) (2, -3)
Part (a)
Given equation: y = (x - 2)² + 3
Therefore, the vertex is (2, 3) → graph iii)
Part (b)
Given equation: y = (x + 2)² - 3
Therefore, the vertex is (-2, -3) → graph v)
Part (c)
Given equation: y = (x + 3)² - 2
Therefore, the vertex is (-3, -2) → graph ii)
Part (d)
Given equation: y = (x - 3)² + 2
Therefore, the vertex is (3, 2) → graph iv)
Vertex form of parabola having vertex (h,k)
y=a(x-h)²+k#1
y=a(x-2)²+3Vertex (2,3)
Graph III#2
y=(x+2)²-3Vertex (-2,-3)
Graph V#3
y=(x+3)²-2Vertex (-3,-2)
Graph II#4
y=(x-3)²+2Vertex (3,2)
Graph IVH
Write the decimal as a fraction.
0.5 = 11
[?]
Simplify your answer completely.
Step-by-step explanation:
The answer to Your Question in the image is 2/3
2/3=0.6_
the original price of an Audio Jukebox was $260 it is on sale for $240. what
percent discount does this represent?
Step-by-step explanation:
Roughly 8%
The exact answer is 7.6923076923
The most common ages of children that use the library are
Answer:
12-17
Step-by-step explanation:
this is right. trust (:
Tell whether the triangle with the given side lengths is a right triangle
14mm, 19mm, 23mm
Answer:
not a right triangle
Step-by-step explanation:
The side lengths of a right triangle will satisfy the relation given by the Pythagorean theorem:
c² = a² +b²
23² = 14² +19²
529 = 196 +361
529 = 557 . . . . . . . . not true; not a right triangle
__
The longest side (23 mm) is too short for a right triangle, so the angle opposite will be smaller than 90°. This is an acute triangle.
_____
If you're doing a bunch of these comparisons, use of a triangle solver app or spreadsheet can help.
Solve for x
A) 12
B) 13
C) 10
D) 11
Answer: A)12
Step-by-step explanation:
The line YZ must be half the size of the line QS, so double the length of YZ should be equivalent to the value of QS
2(x+2)=2x+4
Now we can set them equal to each other and solve for x
[tex]2x+4=3x-8\\2x+4+8=3x-8+8\\2x+12=3x\\2x-2x+12=3x-2x\\12=x[/tex]
What is the degree of the polynomials below
2x^7+4-3x^3+5x^8-4x
Pls help me
Pls show your answer pls and thank you
Answer:Pls help mePls show your answer pls and thank you
Pls help mePls show your answer pls and thank you
Step-by-step explanation:Pls help mePls show your answer pls and thank you
bot responded dont reply
If the spinner below is spun twice, find the probability that it lands on N, then a vowel.
Answer:
0.29 or 29%
Step-by-step explanation:
There are 7 options per spin. Of which 3 vowels.
For 2 spins, total spins is 14.
conditions:
First spin is 1/7
Second spin is 3/7
so,
4/14 = 0.29 or 29% I think
Why isn’t there any answer to this I need this or I have to do my grade over again and I don’t want to do that so please give me an answer for this
Answer:
see below
Step-by-step explanation:
When a = -1 and b = -2 U = a-b
-1 - -2 = 1 U =1
when a = -4 and b = 1 V = a-b = - 4 - 1 =-5 V = -5
The table below shows the number of people in a spinning class each day last week.
What is the mean number of people in a class?
Based on the information provided, the mean number of people in a class is 21 people.
How to calculate the mean number of people?To calculate the mean number, the general formula is the total of people in the class/ number of classes.
Then, let's find the total of people in classes by adding the number of people that are in class every day:
13+23+24+31+14 = 105 people in total
Number of classes: 5 classes or 5 days
The mean number of people in a class: Divide the total of people by the number of classes
105 / 5 = 21 people per class in average
Learn more about the mean in https://brainly.com/question/31101410
#SPJ2
if i have a dog and she weighs 31.8 kilograms how many grams is equivalent to 31.8 kilograms
Answer:31800grams
Step-by-step explanation:
which correctly gives the slope and y-intercept of the line represented by the equation below x-y=2
Answer:
y int = -2
slope = 1
Step-by-step explanation:
x-y=2
-y=-x+2
y=x-2
y int = -2
slope = 1
Answer:
Slope = 1
Y-intercept = -2
Step-by-step explanation:
First, we will put it into slope-intercept form.
x - y = 2
x = y + 2
y = x - 2
This gives us the slope of one and the y-intercept being -2.
Check attachments for more information on slope-intercept form as well as the line graphed.
What is the surface area?
Answer:
130 in^2.
Step-by-step explanation:
It has 8 faces
Surface area = 4*2 + 1*2 + 3*2 + 5*2 + 7*2 + 6*2 + 6*7-3 + 6*7-3
= 8+2+6+10+14+12+39+39
= 130 in^2.
What is eleven plus h squared in expression form?
Answer:
h²+11
Step-by-step explanation:
answer is h²+11
h squared= h²
h²+11
Consider the line 2x+6y= -4. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Answer:
the slope of the line perpendicular to that line is 6/2
Step-by-step explanation:
Find the slope of the original equation by putting it into y=mx + b form
2x+6y=-4 Given
2x-(2x)+6y=-4-(2x) Subtract 2x from both sides
6y= -2x -4 Simplify
6y/6= -2x/6 -4/6 Divide both sides by 6
y= -2/6 x - 4/6 Simplify
*perpendicular slopes are opposite reciprocals*
-2/6 = slope
2/6 is the opposite of -2/6
6/2 is reciprocal of 2/6
In AABC, m ZA=36° and m ZB =92°. What is M
?
m∠C = 52°
The total interior angle of a triangle sum ups to 180°Solve:
m∠A + m∠B + m∠C = 180°
36° + 92° + m∠C = 180°
m∠C = 180° - 92° - 36°
m∠C = 52°
Answer:
m∠C = 52°Step-by-step explanation:
Angle Sum Property
∠A + ∠B + ∠C = 180°Here we have :
∠A = 36°∠B = 92°Solving :
36° + 92° + ∠C = 180°∠C + 128° = 180°∠C = 52°I'm an even number.
I'm > 758 and <893.
I'm a multiple of 100.
What am I?
Answer:
800
Step-by-step explanation:
Multiples of 100 to 1000:
100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.
|___________________________| |________|
These dont match the given criteria.
800 is greater than 758 and less than 893.
Hope that helps
What is the value of x in the diagram?
Answer:
C. 20(degree symbol)
Step-by-step explanation:
lol I couldn't find the degree symbol so I just did that
hope this helps :)
How many millimeters are in 5 centimeters?
5 mm
50 mm
500 mm
5,000 mm
Answer:
50 mm
Step-by-step explanation: i did the test and i got it right
Answer:
50 millimeters are in 5 centimeters. You have to multiply the value by 10 to get your answer when converting centimeters to millimeters.
__________________________________________________________
Questions related to this topic? Ask me in the comments box.
Simplify the radical expression. [tex]\sqrt{400/5}[/tex]
Answer:
option c is correct answer
Step-by-step explanation:
since 4×4×5=80
While 400/5=80
Which ones are functions and which are not?
Answer:
relation 2 is not a function.
Step-by-step explanation:
objects in function can only have one image.
A model house has a scale of
lin: 2ft. If the real house is 26 ft
wide, then how wide is the
model house?
Answer: Assuming that you mean 1in:2ft the model house would be 13 inches wide.
Step-by-step explanation: well 1 is half of 2 right? So if you want to get the numbers easier to use then just divide that 26 by 2 and then you get the scale 1in:1ft. From there it is easy, 13 feet of the real house= 13 inches in the model house
•** Pls Help Me **•
Pls show your work thank you
Answer: 34 cm^2.
Step-by-step explanation: To find the area of a trapezoid, you need to add base 1 and base 2, multiply the height, and divide it all by 1/2. The steps are done below:
Find base 1, base 2, and the height: To find base 1 and base 2, you find the top and bottom lengths of the trapezoid. 5 is the top and 12 is the bottom of the trapezoid. You can assign whichever base to whichever number, as long as base 1 and base 2 have a number. For this problem, we'll assign 5 for base 1 and 12 for base 2. To find the height, you need to find the height of the trapezoid, which is 4.Make an equation: The equation should look like the following... 5 (base 1) + 12 (base 2) x 4 (height) / 1/2.Solve: The first thing you should do when solving is to add the bases together, which is 17. Next multiply the height which is 4, by 17, which is 68. Lastly divide 68 by 2, which can be done in two ways. You can either simply divide 68 by 2 or multiply 68 by 1/2, which will both give you the same answer. 68 x 1/2 = 34.Therefore, your answer is 34 cm^2. There's an image below if you need additional information.
Hope this helps! :)
Prospect Creek, Alaska, holds the U.S. record for the coldest temperature, -62.1C. What is the temperature in Fahrenheit
Answer:
i don't understand the last one?
this is a k 12 question
what is the solution set for 2x2+15=-11x
Answer:
2x^2+11x+15=0
factor
2x^2+6x+5x+15=0
2x(x+3)+5(x+3)=0
(2x+5)(x+3)=0
x=-3 and x=-5/2
Dans une boîte, il y a des jetons de différentes formes (triangle, disque flèche) décorées avec trois sortes de motif.
Flèch
Formes Triangle
30
Disque
10
Total
48
Motif
Motif 1
Motif 2
Motif 3
9
AD
4
16
90
45
23
Total
Answer:
The anwer for the top row is 30, 10, 8, and 48. The next row is 9, 8, 9, and 26. The next row is 6, 4, 6, and 16. The last row is 45, 22, 23, and 90.
Step-by-step explanation:
What is the volume of the following rectangular prism?
Volume =____ units^3
Step-by-step explanation:
green = surface area
5/2 × 27/5 = 13.5 unit³
Urgent please help!!!!
Answer:
18 or D
Step-by-step explanation:
12/x = 2/3
so (12 × 3)/2 = answer
answer: 18
Look at the following solution of the equation x raised to the power of 6=64.
x raised to the power of 6=64
so, x raised to the power of 3=8
so, x=2
There is an error in this solution. Write a corrected version.
Answer:
Nothing wrong with the solution x = 2
Step-by-step explanation:
2^6 = 64
2^3= 8
Hence x = 2