Answer:
y = -9Step-by-step explanation:
The directrix is at the same distance from the vertex as the focus but on the opposite side of the vertex.
x coordinate the same for a focus and a vertex (4) means the parabola opens up or down and the directrix is parallel to the x-axis.
y coordinate of the focus greater than y coordinate of the vertex means the parabola opens up and the directrix lays below the vertex.
-1-(-5) = - 1 + 5 = 4
so: - 5 - 4 = -9 is the y coordinate of points of the directrix
mark talked on his cell phone 5 hours over the weekend. genaro talked on his cell phone for 2 9/10 hours. how much longer did mark talk on his phone than genaro.
Answer:
3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours
Step-by-step explanation:
which of the following expression is equivalent to 6(x-4)
6p- 24
6p-4
Divide. Reduce the answer to the lowest terms.
3/8 ÷ 1/7
Answer:
21/8
Step-by-step explanation:
3/8 x 7/1 = 21/8
Answer:
(21/8) (no parenthesis required)
or
2 and 5/8 (no "and" required)
Step-by-step explanation:
When you divide fractions, multiply the first number by the reciprocal of the second (2/3's reciprocal is 3/2 and 5/8's reciprocal is 8/5)
3/8 ÷1/7
= (3/8)*(7/1)
then multiply the numerators together and put them over the denominator
=21/8
= 2 and 5/8
Help... I’m desperate... I mean really desperate
Answer:
y=2x+2
Step-by-step explanation:
Write an equation for the parabola whose vertex is at (3, 6) and which
passes through (4, 4).
Answer:
f(x) = -2 (x - 3)² + 6Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
f(x) = -2 (x - 3)² + 6
The vertex of a parabola is the maximum or the minimum point on the parabola.
The equation of the parabola is: [tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
The given parameters are:
[tex]\mathbf{Point = (x,y) =(4,4)}[/tex]
[tex]\mathbf{Vertex = (h,k) =(3,6)}[/tex]
The equation of parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute values for x, y, h and k
[tex]\mathbf{4 = a(4 - 3)^2 + 6}[/tex]
[tex]\mathbf{4 = a(1)^2 + 6}[/tex]
[tex]\mathbf{4 = a + 6}[/tex]
Subtract 6 from both sides
[tex]\mathbf{a = -2}[/tex]
Substitute values for h, k and a in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Hence, the equation of the parabola is:
[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]
Read more about parabolas at:
https://brainly.com/question/4074088
(Need asap)
Factor the polynomial function over the complex numbers.
f(x)=x4+9x3+15x2+9x+14
Answer:
(x+2)(x+7)(x+i)(x-i)
Step-by-step explanation:
I just took the quiz.
Answer: (x+2)(x+7)(x+i)(x-i)
Step-by-step explanation:
I just took the quiz
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line
containing AB?
Answer:
ABC to XYZ
Step-by-step explanation:
Line AB can be moved across to line XY and it will be a perfect match
Answer:
its A
Step-by-step explanation:
bc its A
*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.
J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?
Answer:
x [tex]\leq[/tex] 11.28
Step-by-step explanation:
x + 13.72 [tex]\leq[/tex] 25
x [tex]\leq[/tex] 11.28
Therefore, he can spend less than or as much as $11.28.
Which table made this graph?
Answer:
C. IV
Step-by-step explanation:
All the points on the graph have an x value of -3
Help Please PLEASE PLEASE
Answer:
the length is 14 the width is 15 and the area is 210
What is the formula for a ratio? Is the x-axis horizontal or vertical? Which points are on the y-axis (0, 6)?
Answer:
formula for ratio: you can write a ratio with :, or, /
x axis is horizontal
0= x axis 6= y axis
Step-by-step explanation:
5c+4p=18.40 2c+4p=11.20
Answer:
c = 2.4
p = 1.6
Step-by-step explanation:
Given:
5c+4p=18.40
2c+4p=11.20
-1(2c+4p=11.20) <-- Distribute -1 so that you can cancel out p
-2c-4p=-11.20
5c+4p=18.40
+ -2c-4p=-11.20 <-- Add/simplify like terms
3c = 7.2 <-- Isolate c by dividing
c = 2.4
Now that we have c, we can find p
5c+4p=18.40
5(2.4)+4p=18.40 <-- Sub in 2.4 for c
12+4p=18.40 <-- Combine like terms in one side
4p=6.4 <-- Isolate p by dividing
p = 1.6
which situation results in a final value of zero
Answer:
is there like a picture of the question?
Answer:
The answer is B
Step-by-step explanation:
Did on test
Pls help with this for math problem fast asap answer this smart people
Answer:
I would say c and d
Step-by-step explanation:
Hope this helped :)
Answer:
a and c i would think
Step-by-step explanation:
because if you put them in pairs you would have an even number which is 16
5u+u–u please tell me !
Answer: = UwU
Step-by-step explanation:
Answer:
5u
Step-by-step explanation:
Simplifying
5u + -1u = u + 15
Combine like terms: 5u + -1u = 4u
4u = u + 15
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-1u' to each side of the equation.
4u + -1u = 15 + u + -1u
Combine like terms: 4u + -1u = 3u
3u = 15 + u + -1u
Combine like terms: u + -1u = 0
3u = 15 + 0
3u = 15
Divide each side by '3'.
u = 5
Simplifying
u = 5
Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the distance between them was 2 miles. How fast did they bike if one was 3mph slower than the other.
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
[tex]v = x + ( x-3 )\\\\v = 2x - 3[/tex]
Now, distance travelled in 3 hours is (98-2) miles .
So,
[tex]2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph[/tex]
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
What is lighter, 1 kg of feather or 1 kg of iron?
Answer:
none they are both 1 kg
Step-by-step explanation:
Answer:
Both weight the same. 1kg of feathers weights the same as 1kg of iron.
Step-by-step explanation:
Since both are 1kg, they weight the same. It doesn't matter that one is feathers and one is iron.
A florist is making flower arrangements for a party.
He uses purple and white flowers in a ratio of 3 purple
flowers to 1 white flower. How many flowers will he
need in order to make 30 identical arrangements?
Answer:
Step-by-step explanation:
3 purple : 1 white
30 arangement will need so
minimum will need (3+1)=4 flowers per 30 arangements =120 flowers
minimum will be (90 purple: 30 white)
Answer:
120 flowers
Step-by-step explanation:
3 purple: 1 white
We know he wants to make 30 arrangement so
1 x 30=30 white flowers
3 x 30=90 purple flowers
30 + 90=120
John's grades in Algebra are: 65, 83, and 93. What grade does John need on the final exam to get an 85
average (mean)?
Answer:
99 marks
Step-by-step explanation:
Let 'x' be the mark in final exam
Sum of all the data's/ Number of data's = Mean
[tex]\frac{65+83+93+x}{4}=85\\\\\\\frac{241+x}{4} = 85[/tex]
241 + x = 85*4
241 + x = 340
x = 340 - 241
x = 99
5% of Hana's salary is birr 500 what is her full salary?
Answer:
10,000
Step-by-step explanation:
100 ÷ 5 = 20
5 x 20 = 100
500 x 20 = 10,000
Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.
Answer:
the first one
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
I just did the question on edg
Dwayne has a wrench set with the socket sizes of 1, 1/2, 1/4, 1/8, 1/16 what would the next size be?
Notice that the denominator is a multiplied by 2 for each fraction.
1/1•2 = 1/2
1 /2•2 = 1/4
1/4•2 = 1/8
1/8•2 = 1/16
1/16•2 =1/32
The next size is 1/32.
highschool math. this one is pretty easy.
A bisector splits an angle into two equal angles.
The answer is the last one: it splits the angle into two congruent angles.
What is the purpose of the cell cycle?
Answer:
An Overview of the Cell Cycle. The most basic function of the cell cycle is to duplicate accurately the vast amount of DNA in the chromosomes and then segregate the copies precisely into two genetically identical daughter cells. These processes define the two major phases of the cell cycle.
You start at 1, 4. You move left five units and down seven units. where do you end?
Answer: -4,-3
Step-by-step explanation:
You start at the point (1,4) on the coordinate plane. The first number is on the x-axis, which moves horizontally and is divided down the middle by the y-axis. The left side of the x-axis is negative, while the right side of the x-axis is positive. The second number is on the y-axis, which moves vertically and is divided in half by the x-axis. The upper half of the y-axis is positive, while the lower side of the y-axis is negative.
If you start at the point (1,4) then the x coordinate would be 1 and the y coordinate would be 4. So moving left by 5 units you would be subtracting 5 from the x coordinate. Similarly, by moving down seven units you would be subtracting 7 from the y coordinate.
Solve:
1 - 5 = -4
-4 is your x coordinate
4 - 7 = -3
-3 is your y coordinate
The coordinate (-4,-3) is your answer
PLEASE HELP! WILL GIVE BRAINLIEST!!
Answer: H. AAs is the answer.
2. Determine which of the following relations is a function. (Lesson 1-7)
F{-4,3), (-2,-2), (0, 2), (0,5)}
G{(-3, 1), (-3, 3), (-2,-1),(0,5)}
H(-4,-1),(-2,-1),(-1,-1), (3, 3)
J{(2, -5),-1,-1),(0,4), (2, -3)
Answer:
H
Step-by-step explanation:
H is the answer because in the simplest and easy way I can explain this is that it does have the same x in the table. If you look at F the x 0 repeats twice in the third and forth point. If you look at G the x -3 repeats twice in the first and second point. If you look at J the x 2 repeats twice in the first and forth point. The only answer choice does repeats any of the x's is H with the x's of -4, -2, -1, and 3. So with this being said H is the answer.
The y can repeat as a function just not the x.
1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?
Answer:
1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).
2
help me answer this question pls
Please help me out!
Answer:
11. B 12. B, C, and D
Step-by-step explanation:
A = Rational numbers
B = Integers
C = Whole numbers
D = Natural numbers
E = Irrational numbers
11. B
60/15 is a natural number because it equals 4 and is a positive integer
12. B, C, and D
An integer is a whole number meaning that because B. 42/6 = 7, C. 2√100 = 10, and D. 8 are all not fractions or decimals, they are integers.