This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).
Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?
Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)
For choices A, B and D, the x values repeat in some way.
Choice A has x = 2 repeated
Choice B has x = 10 repeated
Choice D has x = 13 repeated
A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.
Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.
PLZ HELP ME ASAP!!!
Which of the following is equivalent to the ratio of 14 minutes to 62 minutes?
1. 1 : 3
2. 7 : 31
3. 1 : 9
4. 7 : 40
Answer:
2. 7 : 31
Step-by-step explanation:
7 * 2 = 14
31 * 2 = 62
7 : 31
14 : 62
Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor? The decimal could be one-tenth. The decimal could be two-tenths. The decimal could be five-tenths. The decimal could be seven-tenths.
Answer: The decimal could be two-tenths.
Step-by-step explanation:
Two tenth as a product of decimals, 2/10 = 0.2. What this means is that a tenth is on of equal parts of something. e.g i received two tenth of the 30 bananas, what this implies is that he received 6 pieces of the bananas and this can be gotten by 2/10*30 = 6.
Answer:
b
Step-by-step explanation:
a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?
Answer:
oi
Step-by-step explanation:
Answer:
11 feet maybe
Step-by-step explanation:
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
A,B,C OR D
PLS HELP..
Answer:
DDDDDDDDDDDDDd
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
its steeper than the others
HELP please ASAP Hw for math class
Points C, D, and E are collinear. You are given CD = 18 and CE = 27. What is a possible measure of DE?
0 A 6
B. 7
C. 8
D. 9
HELP PLS
Answer:
9
Step-by-step explanation:
The measure of DE is 9 units. Therefore, option D is the correct answer.
Given that, points C, D, and E are collinear, CD = 18 and CE = 27.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line.
Now, points C, D, and E are collinear.
CE = CD+DE
⇒ 27 = 18 + DE
⇒ DE = 27-18
⇒ DE = 9
The measure of DE is 9 units. Therefore, option D is the correct answer.
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If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
If the area of a rectangle is 6m², then the dimensions must be 2 meters by 3 meters. True or False?
Answer:
true
Step-by-step explanation:
A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?
Answer:
120 centimeters cubed
Step-by-step explanation:
you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)
Answer:
120
Step-by-step explanation:
I know this question is old but why not
whats 4*4
hrry answer it
Answer: 16
Steps: 4 × 4 = 16
PLz mark brainliest:)
Answer:
16
Step-by-step explanation:
4*2 is 8 and 8+8 is 16.
pls help ASAP i got only 5 minuts left
Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
18(m+2m)
18m+18(2m)
54m
Step-by-step explanation:
I took the quiz.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)
Answer:
6.40
Step-by-step explanation:
I need help if you can.
Answer:
I cant see the equation that well, but i got 5/16
Step-by-step explanation:
Hope this helps!
Answer:
I got C) 1 and 1/4
Step-by-step explanation:
-0.5 + 0.75 = 0.25
1/5 = 0.20
0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.
0.25 divided by 0.20 = 1.25
the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me
Answer:
Ah Thanks so much
Step-by-step explanation:
I am so bored by the way...
Answer:
daaslkfnsdlfknsdfnsdnfsdf
Step-by-step explanation:
Write an algebraic expression that represents the sum of 3 and one sixth of X
Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
[tex]\frac{5-2}{7- (-4)}[/tex] = [tex]\frac{3}{11}[/tex]
What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?
Answer:
y=1/3-1 ...............
Translate the algebraic expression below into a written expression.
Answer:
b is the anwer of youre question
Answer:
B
Step-by-step explanation:
the plus sign means sum so that leaves you with the first two choices already
c has an exponent of two so that would be called squared, and that leaves you with the second one
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
[tex]10 + 5x=y[/tex]
Now, it is given that his goal is minimum of 50 countries.
So,
[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Good Luck!!!
Which term is the constant in 17 – 3p?
second time asking
Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50
The solution is Option C.
The incorrect rounding of the number 53.864 is 53.87
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the number be represented as A
Now , the value of A is
A = 53.864
Now , on rounding the number A to the nearest , we get
Step 1 :
If we round the number to the nearest integer, the number is 54
Step 2 :
If we round the number to the nearest tenth, the number is 53.9
Step 3 :
If we round the number to the nearest hundredth, the number is 53.86
So , the number 53.87 is not true
Step 4 :
If we round to the nearest tens, the number is 50
Hence , the only incorrect rounding is 53.87
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PLEASE HURRYYYY
find three points that solve the equation x- 4y=-18
Answer:
one of the three plots is (-2,4)
Step-by-step explanation:
PLEASE HELP THANK YOU
What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.
Answer:
y=-4x-4
Step-by-step explanation:
-2,4
4,-20
-20-4 is -24
4--2
6
-24/6 is -4 (slope)
4=-2*-4+b
4=8+b
-4=b (y intercept)
Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?
Answer:
She can bake 8 dozen cookies in 112 minutes.
Step-by-step explanation:
70/5 =14
112/14= 8