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Here is how to do it.
How to calculate axis of symmetry:
Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get:
How to calculate vertex:
The vertex form of a quadratic is given by
y = a(x – h)2 + k, where (h, k) is the vertex.
The "a" in the vertex form is the same "a" as
in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)
In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.
Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. That is, the smallest value y can be is just k; otherwise y will equal k plus something positive. When does y equal only k? When x – h, the squared part, is zero; in other words, when x = h. So the lowest value that y can have, y = k, will only happen if x = h. And the lowest point on a positive quadratic is of course the vertex.
If, on the other hand, you suppose that "a" is negative, the exact same reasoning holds, except that you're always taking k and subtracting the squared part from it, so the highest value y can achieve is y = k at x = h. And the highest point on a negative quadratic is of course the vertex.
The length of a rectangle is 1 meter less than twice its width. The perimeter of the rectangle is 40 meters. What are the dimensions of the rectangle?
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
A, C
Step-by-step explanation:
A pizza shop offers 10 in 12" and 16" then thick deep dish or garlic also you can choose cheese pepperoni sausage mushrooms and green peppers how many pizza combinations are possible
Answer:
13 possible combinations
Step-by-step explanation:
There are 3 different types of pizza sizes and two different types of pans. There are 5 different toppings available which can be used in the pizza.
5C3 + 3C2 = 10 + 3
Total possible combinations = 13.
Plz helps brainlist and points also Q's in the photo its math
answer :
A, C, and D
hope this helps:)
A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound
Answer:
[tex]W=59.7408J[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]f=4N[/tex]
Force Direction [tex]\arrow (4,-2)[/tex]
Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]
Distance traveled Direction point (0,4) to point (5,-1)
Generally the equation for work done is mathematically given by
[tex]W=force*distance[/tex]
[tex]W=f*d_t\\W=4*7*2.1336[/tex]
[tex]W=59.7408J[/tex]
Help please I did everything right but my answer is still wrong mark brainliest?
Answer:
5.6
Step-by-step explanation:
a line is reflected. Which of these could be the result? Pls help
Answer:
A
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
AP EX
Given that sec0=-37/12, what is the value of cot0, for pi/2<0
Answer:
2nd option
Step-by-step explanation:
Using the identities
tan²θ + 1 = sec²θ
cotθ = [tex]\frac{1}{tan0}[/tex]
Given
secθ = - [tex]\frac{37}{12}[/tex] , then
tan²θ + 1 = (- [tex]\frac{37}{12}[/tex] )² = [tex]\frac{1369}{144}[/tex] ( subtract 1 from both sides )
tan²θ = [tex]\frac{1225}{144}[/tex] ( take the square root of both sides )
Since [tex]\frac{\pi }{2}[/tex] < θ < π and tanθ < 0 , then
tanθ = - [tex]\frac{35}{12}[/tex]
Then
cotθ = [tex]\frac{1}{-\frac{35}{12} }[/tex] = - [tex]\frac{12}{35}[/tex]
are u clamsed with skfs
Answer:
??? I have no idea what this means but sure
Step-by-step explanation:
Answer:
hello there!
Step-by-step explanation:
How many times greater is the value of the 6 in 618,923 than the 6 in 27.652
The value of 6 in 618,923 is 1,000,000 or 1 million times greater than that of 6 in 27.652.
What is Place Value?Place value of a digit in a number is defined as the value of that digit according to the position where it stands.
Place value of a whole number of digits from right to left can be expressed as ones, tens, hundreds, thousand, etc.
Place value of a decimal number after the decimal point from left to right can be expressed as tenths, hundredths, thousandths, etc.
The given numbers are 618,923 and 27.652.
Place value of 6 in 618,923 = 6 × 100,000
That is 6 hundred thousands is the place value.
Place value of 6 in 27.652 = 6 × 1/10 = 6 × 10⁻¹
This is at the tenth place.
6 × 100,000 = 6 × 10⁻¹ × 1,000,000
So 6 × 100,000 is 1,000,000 times greater than 6 × 10⁻¹.
Hence the value of 6 in 618,923 is 1,000,000 times greater than the 6 in 27.652.
Learn more about Place Values here :
https://brainly.com/question/27734142
#SPJ2
21 help asap Brailiest pic below
Answer:
A
Step-by-step explanation:
The inverse is just the opposite it is a flip
Find the distance between the points (1,0) and (2,-2)
Distance = ?
please help!!!!
Answer:
√5
Step-by-step explanation:
use distance formula
Find the product, using suitable properties:
(-23)×48
Answer:
-1104
Step-by-step explanation:
(−23)(48)
= (−1104)
Give me Brainllest
A map scale is 2 in : 15 mi. Two cities are 5.7 in. apart on the map. Find the actual distance between the two cities. Enter the number only.
Answer:
70!km is the right answer
Step-by-step explanation:
The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.
130 20. В E NOTE: Angles not necessarily drawn to scale.
Answer:
Step-by-step explanation:
x=150
Answer:
x=150
Step-by-step explanation:
you have to add 130 + 20= x
and x=150 so..
How many solutions does this equation have?
6b = 3b + 3b
is there a solution
Answer:
Yes
The answer is 1
Step-by-step explanation:
\dfrac12(10x + 20y +10z) = 2 1 (10x+20y+10z)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 10, x, plus, 20, y, plus, 10, z, right parenthesis, equals
Answer:
5x + 10y + 5z
Step-by-step explanation:
Given the expression
[tex]\frac{1}{2}(10x+20y+10z)\\[/tex]
Expand the parenthesis using the distributive law;
[tex]\frac{1}{2}(10x)+ \frac{1}{2}(20y)+\frac{1}{2}(10z)\\= \frac{10x}{2} + \frac{20y}{2} + \frac{10z}{2}\\= 5x + 10y + 5z[/tex]
Hence the required solution is 5x + 10y + 5z
Is this right?
Any links get reported!
Answer:
yes
Step-by-step explanation:
12/99=121212, so yes
12/100= 0.12, nope
12/90=0.13131, nope
4/33=0.121212, so yes
3/25=0.12, nope
4/30=0.131313, so nope
in conclusion, you are correct
What’s 1 + 1?
A. 0
B. 0
C. 0
D. 2
Answer:
its D
Step-by-step explanation:
[tex]1 + 1 = 2 \\ [/tex]
An air mattress originally containing 24 cubic feet of air was deflated at a rate of 3 cubic feet of air per minute.
Which of the graphs correctly models the situation?
I had this question on a quiz. The answer is B if I remember correctly.
Find the volume of a right circular cone that has a height of 13 m and a base with a diameter of 3.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
472.308 m^3
Step-by-step explanation:
= 22÷7×3.4×3.4×13
=472.308 m^3
I hope this will help you and plz mark me brainlist
An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth, what could be the number?
Answer:
3.55-3.59
Step-by-step explanation:
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
So numbers that would be rounded off to 3.6 have to have an hundredth value equal or greater than 5
they include
3.55
3.56
3.57
3.58
3.59
y=330(1.06)^x
answer
Answer:
349.8^x
Step-by-step explanation:
330*1.06=349.8
Answer:
6% increase
Step-by-step explanation:
What is the length of EF in the right triangle below?
help with my math please
Answer:
D
Step-by-step explanation:
You just distribute the negative sign.
Peano arithmetic has a model (namely the standard natural numbers) and is therefore consistent. ... Another way to say the same thing without jargon like "model" is this:
Answer:
Okay...
Step-by-step explanation:
What do you want us to answer?
SOMEONE PLEASE HELP WITH SCALE FACTORS!!!! I will mark brainliest if right!!! Explain!
Answer:
68
Step-by-step explanation:
Find the scale Factor:
What do you do to 10 to make it 4?
Divide by 2.5 or Multiply by 0.4
Since, Scale factors are always written as multiplications, use x 0.4
Find the area of the smaller pentagon:
Value 1 x Scale Factor = Area of larger pentagon x 0.4 = 68.8 ≈ 68
Hope this helps
If you spin the spinner 12 times, what is the best prediction possible for the number of times it will land on pink?
The answer is x=117 but need help finding it
Answer:
x=127 degrees
Step-by-step explanation:
look at the image also it's 127 not 117
PLEASE I NEED THE ANSWER IN 5 MINUTES ITS FOR HOMEWORK AND THE TEACHER IS REALLY STIRCT !!!!!
John checked his answer and found that it was incorrect. John's work is below. What did he do incorrectly?
h + 10 = 25
h + 10 + 10 = 25 + 10
h = 35
Answer: yes, jake is incorrect. H-15
Step-by-step explanation:
H+10=25
-10=-10
H=15