Answer:
Answer:
AB=4
Step-by-step explanation:
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
With this, we will found that the distance between A and B is: 4 units.
The first thing we need to do is find A and B.
We know that the points are the intersection between the two parabolas.
y = -x^2 + 9
y = 2*x^2 - 3
The intersection is given by the zeros of the difference:
(2*x^2 - 3) - (-x^2 + 9) = 0
3*x^2 -12 = 0
3*x^2 = 12
x^2 = 12/3 = 4
x = √4 = ±2
To find the points, we need to evaluate one of the parabolas in these two x-values.
Let's use the first one:
y = -(2)^2 + 9 = 5
So we have the point (2, 5)
For the other point:
y = -(-2)^2 + 9 = 5
So we have the point (-2, 5)
Then we can define:
A = (2, 5)
B = (-2, 5)
Using the distance equation we get:
[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]
The distance between A and B is 4.
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i need to know this problem
[tex]x \geqslant 1[/tex]
ARITHMETIC SEQUENCES HELP. (QUESTIONS ATTACHED)
X + 9 = 7
How do you move the constant to the right side and change it’s sign
Step-by-step explanation:
X + 9= 7
get x by itself you -9 on both sides
X + 9 = 7
- 9. -9
X = -2
Find the coordinates of the midpoint of the segment.
MN with endpoints M 6,12) and N(-6, -6)
The coordinates are
Answer:
[tex]MP= (-6,3)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{6+-6}{2} )(\frac{12+-6}{2} )\\MP= (\frac{-12}{2} )(\frac{6}{2} )\\MP= (-6,3)[/tex]
Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis. Use the initial zombie population and growth rate per level to complete the table and estimate the population at level 5. Round to the nearest whole number, if necessary.
.
Game Level: 1 | 2 | 3 | 4 | 5
Population: 50,000 |
Answer:
Answer: Level 1 - 50,000
Level 2 - 52,500
Level 3 - 55,125
Level 4 - 57,881
Level 5 - 60,775
Step-by-step explanation:
Level 1 population will be 50,000
Level 2 population will be 52,500
Level 3 population will be 55,125
Level 4 population will be 57,881
Level 5 population will be 60,775
What is a product?
Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. Product can meet are the quantities that are included, and the outcome of the operation, or the final response.
The zombies would be 50,000 * 5% if Gavin were level 1, and 50,000 * (5% * 2) if Gavin were level 2, which would be equivalent to 50,000 * 10%. Gavin calculates the number of zombies by multiplying the player's stage by 5%, which equals 50,000 * 5%x Initial Density of Zombie.
The population of the 2 level is
50000 + (50000 * 5%)
50000 + 2500 = 52500
The population of 3 levels is
52500 + (52500 * 5%)
= 55,125
The population of 4 levels is
55,125 + (55,125 * 5% )
= 57,881
The population of 5 level is
57,881 + ( 57,881 + 5%)
= 60,775
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What is 6/12 in simplist form?
Anyone know how to do this?? Help pls
Answer:
The correct answer is A. a = 2s - b - c
Step-by-step explanation:
First you multiply 2 on both sides and you will end up with 2s = a + b + c.
Then to isolate a you would subtract both b and c from both sides of the equation as well to end up with your answer of a = 2s - b - c.
Write a ratio that simplifies to 2:7
Answer:
4 : 14
Step-by-step explanation:
Step 1:
2 : 7 = 4 : 14
Answer:
4 : 14
Hope This Helps :)
Can the common ratio of geometric sequence be equal to 0?
Answer:
No it cant
Step-by-step explanation:
it cant
Help me guys! This question is hard for me
Answer:
should be answer A
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)
Which ones apply?
Answers please
13) Print-o-rama charges a $25 setup fee and $8 per shirt. Printastic charges a $64 set
up fee and $5 per shirt. For what number of shirts do the companies charge the same
amount? What would the charge be?
Answer:
At 8 shirts, Print-o-rama charges $89. At 5 shirts, Printastic charges $89.
Can someone help me
Answer:
I think it is the first one ( 2,0)
but if I am wrong I am sorry
Hello there!
The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.
I hope this helps
what is 9b = 8b − 16
Answer:
b = -16
Step-by-step explanation:
9b = 8b - 16
9b - 8b = -16
b = -16
is -7 greater than -4
Answer:
no
Step-by-step explanation:
-7 is smaller than -4 because the farther down the negative part of the number line, the "smaller" it gets
What are these fractions in order from greatest to least?:
6/9,5/6,5/7,4/5
Can someone answer these for me ?
1 inch corresponds to 4ft, what is 2 1/4 inches converted to feet
Answer:
9 feet
Step-by-step explanation:
2 1/4 can be written as an improper fraction 9/4
we are given:
1 inch ----> corresponds to 4 feet
hence,
2 1/4 inch ---> corresponds to 4 feet x 2 1/4 = 4 x (9/4) = 9 feet
Convert these decimals into fractions 0.49 and 4.542
Answer:
0.49 = [tex]\frac{49}{100}[/tex]
4.542 = 4 [tex]\frac{542}{1,000}[/tex]
Step-by-step explanation:
0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.
4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.
Hope this helps!
Please help me I will give the brain Please.
Answer: C or $256
You will also save $64
Answer:
The cost of the stereo system is $256.
Step-by-step explanation:
What we know:
The cost of the stereo system is $320.
Zenaida is getting the stereo system 20% off.
We can set our equation up like this:
Stereo System = 320-320*20%
(to find the cost of the stereo system, we have to subtract 20% of the original price)
1. Multiply 20 by 100 to change 20% into a decimal
20*100=0.2
2. Plug into the equation and solve
320-320*0.2
= 320-64
= 256
I hope this helped!
Which real-world scenario can be described using the algebraic expression c/4?
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Step-by-step explanation:
The radius of a circle is 4.8cm. What is the diameter?
Answer:
9.6cm
Step-by-step explanation:
Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.
4.8*2=9.6
Diameter=9.6cm
Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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- 7x + 14 = 4x - 19
Please help
Answer:
-7x+14=4x-19
-7x
14-3x-19
-3x-15
Step-by-step explanation:
16) Amari ran three-quarter the distance Mary did. Amari ran 12 miles. Write and solve an equation that represents how far Mary
Answer:
Step-by-step explanation:
Amari ran 3/4 distance Mary ran
A = 3/4 M
Amari ran 12 miles
12 = 3/4 M Multiply by 4
12 * 4 = 3*M Combine
48 = 3M Divide by 3
48/3 = M
M = 16
So Mary ran 16 miles.
Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
Omar is playing a computer game. He starts with 0 points, wins 8 points, loses 6 points 4 times, and then wins 2 points. Which integer represents Omar’s score? –30 –14 16 34
The answer is -14. 0+8 =8 8 - (6x4) = - (-16 + 2 = -14
Answer:
-14
Step-by-step explanation:
w(x) = 2x + 5; Find w(x + 2)
Solution:
w(x) = 2(x + 2) + 5
w(x) = 2x + 4 + 5
w(x) = 2x + 9
Best of Luck!
arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6
Answer: C. -10, A -6, B 2
Step-by-step explanation:
Read the paragraph from The Hot Zone.
Just then, he noticed a blur of motion on his left, and he turned and saw two Hazleton workers walking toward him. They weren't supposed to be in here! The area was supposed to be sealed off, but they had come in by another route that led through a storeroom. They wore respirators, but nothing covered their eyes. When they saw the two men in space suits, they froze, speechless. Jerry could not see their mouths, but he could see their eyes, wide with astonishment. It was as if they had suddenly discovered that they were standing on the moon.
What is the author’s main purpose for including this paragraph?
to inform readers about the location of the scene that is unfolding
to explain to readers that being a scientist can be exciting work
to entertain readers by illustrating how dramatic the situation is
to reassure readers that the situation was completely under control
Answer:
c
Step-by-step explanation:
to entertain readers by illustrating how dramatic the situation is
The purpose of the author will be C. entertain readers by illustrating how dramatic the situation is.
It should be noted that a theme simply means the main idea that's conveyed in a literary work. It's simply what the author wants the readers to know.
In this case, the author’s main purpose for including this paragraph is to entertain readers by illustrating how dramatic the situation is.
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