Answer:
Step-by-step explanation:
The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.
In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.
The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).
The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.
The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.
The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.
To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.
[asy]
unit size(1cm);
real p = 1.5;
pair F, V;
F = (1,-2+p);
V = (1,-2);
draw((-2,0)--(4,0));
draw((0,-4)--(0,4));
draw((-2,V.y)--(4,V.y),dashed);
draw((F.x,p)--(F.x,-4),dashed);
label("$x$", (4,0), E);
label("$y$", (0,4), N);
label("$y = (x - 1)^2 - 2$", (4,-3), E);
a dot("$F$", F, NW);
a dot("$V$", V, S);
label
5)48 I need help I suck at math
On solving the question resultant answer from the given data we have algebraic expression 5/48 could be 0.10
what is an algebraic expression ?Algebraic expression can be defined as the combination of constants , variables and operators. Algebraic expressions are the concept of expressing numbers using letters or alphabets without specifying their real values. The basics of algebra taught us a way to specific an unknown value the usage of letters which includes x, y, z, and many others. those letters are called here as variables. An algebraic expression may be a combination of each variables and constants. Any value this is positioned before and increased through a variable is a coefficient.
So, the given expression , 5/48
5/48 = 0.10
The resultant answer from the given expression 5/48 could be 0.10
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The correct question is -
Solve the equation.
p= −6p=48
Please help I suck at math
am i this right?? this is graded and no links!!!!!!
Answer:
Your right
Step-by-step explanation:
A frictionless pendulum is pulled 3 feet to one side of its center resting point…
A. The amplitude of the sinusoidal function 's' would increase.
B. The midline of the sinusoidal curve will upshift.
What is a periodic function?A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.
We know the moving mechanism of the pendulum can be graphed as a periodic function.
A. If the pendulum is pulled farther away from its resting point it will reach a greater height on both sides this would have an effect of an increase in the amplitude of the sinusoidal curve.
B. If the pendulum is pulled farther away from its resting point the midline of the sinusoidal curve would move up along the y direction as a result of an increase in magnitude.
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Help me. The question is giving me problems help.
D/3
The real world situation that can be modelled with the given expression can be modelled as shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
D/3
A real world situation that can be modelled with this expression can be written as follows -
Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.
Therefore, the real world situation that can be modelled with the given expression can be modelled as shown above.
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ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
Option C
The length of RT is 14
Step-by-step explanation:
For a given Right Triangle
m∠R = 90°, RG = 17, TG = 22
Now, By Pythagoras Theorem
(RT)² + (RG)² = (TG)²
(RT)² = (TG)² - (RG)²
(RT)² = (22)² - (17)²
(RT)² = 484 - 289
(RT)² = 195
RT = √195
RT = √195 = 13.96 = 14
Thus, The length of RT is 14
-TheUnknownScientist
y<3x+12, y≥5x+7
The solution of the system of linear inequalities.
Answer: nswer ; x , we can find ; y with the first equation :.
1 answer
·
We know that y=5x−7 so we are just going to replace the y in the other equation : −3x−
Step-by-step explanation:
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer: 27.5
Step-by-step explanation:
[tex](x-3)2 = 49\\x-3 = \frac{49}{2} \\x-3 = 24.5\\x = 24.5 + 3\\x = 27.5[/tex]
There are 250 bricks used to build a wall 20 feet high.How many bricks will be used to buld a wall that is 30 fet high
Answer: 375
Step-by-step explanation:
Since we are given the information that there are 250 bricks used to build a wall 20 feet high, the number of brick used per feet will be:
= 250/20
= 12.5 bricks per feet.
Therefore, the number of bricks that will be used to buld a wall that is 30 fet high will be:
= 12.5 × 30
= 375 bricks.
Therefore, 375 bricks would be used.
You were planning to buy a new smartphone for
$1,100. You only paid $900 for it because it was on sale.
Find the percent of decrease in the cost.
Answer:
22% decrease
Step-by-step explanation:
(1100-900)/900 = .22
NEED HELP ASAP
PLEASE REFER TO PICTURE
Determine whether each pair of actions results in independent or dependent events.
Pick one marble out of a bag. Then, without replacing the marble, pick another marble.
a. Dependent; the first marble selection will affect the second marble selection.
b. Independent; the first marble selection will not affect the second marble selection.
c. Dependent; the first marble selection will not affect the second marble selection.
d. Independent; the first marble selection will affect the second marble selection.
Answer h:
Step-by-step explanation:
Answer:
b. Independent; the first marble selection will not affect the second marble selection.
Step-by-step explanation:
We have both independent and dependent occurrences when calculating the probability of events in mathematics.
Independent events occur when the results of the first event's selection have no bearing on the results or outcomes of the second event.
The opposite of independent occurrences are dependent events. They are occurrences in which the results or outcomes of the second events are influenced by the results or outcomes of the first events' selection.
The first incident, according to the question, was when she chose one marble from the bag. The second occurrence is that she replaced the pebble before selecting another. By doing so, the total number of alternative outcomes for both occurrences' probability remains the same.
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Find the root of the following equation using Factorization method
√2x² + 7x + 5√2 = 0
Answer:
- 5√2 / 2 , - √2
Step-by-step explanation:
√2 x² + 7x + 5√2 = 0
√2 5
1 √2
(√2 x + 5) (x + √2) = 0
√2 x + 5 =0 x = - 5/√2 = - 5√2 / 2
or x + √2 = 0 x = -√2
Solve for x in this triangle. Round your answer to the nearest tenth. answer choice's x = 9.1 x = 7.5 x = 10.6 x = 12.4
The value of x in the give trigonometrical question is 10.6 when hypotenuse is 13 in the right angled triangle.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular functions of angles and how to use them in calculations. There are six common trigonometric uses for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their respective names and acronyms.
The figure illustrates these six trigonometric functions in relation to a right triangle. For instance, the triangle has an angle A, and the sine of A, or sin A, is defined as the ratio between the side opposite to A and the side opposite to the right angle (the hypotenuse).
Cos 35° = x/13
0.819152 = x/13
x = 0.819152 × 13
x = 10.6
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Suppose f(x) = 3x2 – 2x: Find f(-4). А B -40 ОО C 56
plz helpp
Answer:
f(-4) = 56
Step-by-step explanation:
f(x) = 3x² - 2x
To find f(-4), substitute -4 for all the values of x in f(x).
f(-4) = 3(-4)² - 2(-4)
Square -4.
f(-4) = 3(16) - 2(-4)
Multiply 3 and 16.
f(-4) = 48 - 2(-4)
Multiply -2 and -4.
48 + 8
Add.
56
You had the right idea! :)
179÷[618- (241-)]÷12 =
I don't know what I'm doing pls help this urgent
Answer: 215
Step-by-step explanation:
A neighbor of yours is getting ready to
plant a garden of flowers in his backyard.
He asks you for ideas on how to
conserve soil. You notice that his
backyard has a lot of hills. What do you
suggest?
In order to maintain soil fertility and productivity, soil must be protected from erosion and other forms of deterioration. Water use and watershed management are typically included.
What comes first in gardening?Eliminating the existing vegetation is the first step in making a garden bed. Weeds can be manually pulled. Just be certain to remove the roots to prevent regrowth. You might want to rent a gas-powered sod cutter to get rid of the grass if you're starting with a lawn.
What is an example of soil conservation?Better soil conservation techniques that affect both erosion and fertility include crop rotation, cover crops, conservation tillage, and installed windbreaks.
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GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE
1. Use the Distributive Property to simplify the expression.
6(5 - q)
Group of answer choices
11 - 6q
11 - q
30 - 6q
1 - q
3.
Use the Distributive Property to simplify the expression.
(d + 2)(-7)
Group of answer choices
-7d - 14 OR -7d + -14
7d - 2 OR 7d + -2
d - 14 OR d + -14
d - 5 OR d + -5
4. Use the Distributive Property to simplify the expression.
-4(x - 6y)
Group of answer choices
4x + 24y
-4x + 24y
4x - 1.5y
-4x - 10y
5. Use the Distributive Property to simplify each expression.
a) -3(5 + b)
=
[ Select ]
+
[ Select ]
b
b) 3(-4x + 8)
=
[ Select ]
x +
[ Select ]
6. The table shows different prices of items at a movie theater.
Item Cost ($)
box of candy 2.25
drink 3.25
popcorn 4.50
ticket 7.50
Suppose Mina and her two friends want to go to the movies.
Which expression could be used to find the total cost if each of them buy one of each item?
[ Select ]
What is the total cost for all three people?
$
[ Select ]
Answer:
1. 30 − 6q
3. −7d − 14 OR -7d + -14
4. = −4x + 24y
5. a) −3b − 15 b)−12x + 24
6. For the first answer to this question: 3x + 3y OR 3x = t
For the second answer to this question: 3x = t and it costs 15 dollars in total with x = 5.
What is the midpoint of the x intercepts of x 4 )( x 4?
The midpoint of the x-intercepts of f(x) = (x - 4)(x + 4) is (0, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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Nicole randomly selects a red card from a standard deck of cards. What outcome is the complement of drawing a red card?
Selecting an ace
Selecting a heart
Selecting a face card
Selecting a black card
The complement of the event: "drawing a red card" is the last option:
"Selecting a black card"
What outcome is the complement of drawing a red card?The complement of an event is the set of all the outcomes such that the original event is false.
For example, the complement of drawing a red card, would be "not drawing a red card"
We know that there are two types of coloes, black and red.
Then "drawing a black card" is equivalent to "not drawing a red card"
Thus, the complement is the last option:
"Selecting a black card"
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Increase 30g by 80%
Answer: 54
Step-by-step explanation: 30, percentage increased by 80% (percent) of its value = 54
Answer:
30 × 80 % = 24
30 + 24
= 54
........
GUYS PLEASE HELP ME I WILL GIVE BRAINLIEST, 5 STARS, AND EVERYTHING! THANKS!
Answer:
3
Step-by-step explanation:
C(n) = 5n, 0 ≤ n ≤ 10 You would use this equation for finding the cost of 10 shirts. Since 10 is equal to 10.
C(n) = 5n, 0 ≤ n ≤ 10 ← You can ignore the 0 ≤n ≤10 part.
C(10) = 5(10) Input the value 10 as x.
C(10) = 50 Simplified
Next,
C(n) = 4n + 5, n > 10 You would use this equation for finding the cost of 12shirts. Since 12 is greater than 10.
C(n) = 4n + 5, n > 10 ← You can ignore the n>10 part.
C(12) = 4(12) + 5, n > 10 Input the value of 12 as x.
C(12) = 48 + 5 Simplify
C(12) = 53
Finally,
The question is asking you to find the difference between the cost of 12 shirts and the cost of 10 shirts. So the formula would be C(12) - C(10).
C(12) - C(10)
(53) - (50) Input the values of C(12) and C(10).
= 3 Simplify.
The answer is 3.
could someone help me
Answer:
27
180 - 63 - 90 = 27
In 1999, the share price for General Motors stock was $144 per share but has been declining at an average rate of 14% per year. The equation P = 144(0.86)x will give the value of the stock after any number of years. What is the current share price for GM stock?
Answer: $5.22 (in the year 2021)
========================================================
Explanation:
The year 2021 is 22 years after 1999 since
2021 - 1999 = 22
That means we'll plug x = 22 into the equation given to us
P = 144*(0.86)^x
P = 144*(0.86)^22
P = 5.21588994768589 which is approximate
P = 5.22 rounding to the nearest cent
The share price is about $5.22 in the year 2021.
This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.
Plz help. Describe the impact drought had on west Africa.
4 pounds divided by 8 as a fraction
Answer:
4 pounds divided by 8 as a fraction
4/8 = 1/2
-TheUnknownScientist
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
so 4 divided by 8 can be represented in fraction for like this:
[tex]\frac{4}{8}[/tex] which can be simplified by multiplying the top and bottom by 4:
[tex]\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}[/tex] and that is the answer
Identify the figure that illustrates "a reflection in line k."
Answer:
A
Step-by-step explanation:
The figure that illustrates a reflection in line k is figure A.
What is Reflection?A perpendicular bisector is a reflecting line. The perpendicular bisector of all segments connecting the pre-image points to their matching image points forms the reflecting line while a figure is reflecting.
We have a figure.
We have to determine the correct option a reflection in line k.
So, the line k must lie in between the figure and gives the mirror image of each other.
Also, line should be at equal distance from both figure.
Thus, the figure that illustrates a reflection in line k is figure A.
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Which side lengths form a right triangle?
Answer:
(a) and (c)
Step-by-step explanation:
if you use the pythagorean theorem, 'a' and 'c' work out
a) 3² + [tex]\sqrt{27}[/tex]² = 36 True
b) 8² + 15² ≠ 17² False
c) 5² + 5² = 50 True
As a birthday gift, Zoey gave her niece an electronic piggy bank
that displays the total amount of money in the bank as well as the
total number of coins.
After depositing some number of pennies and dimes only, the
display read:
Money: $2.12
Number of coins: 41
Create a system of equations that represents this situation. Then
solve it using the substitution method to find out how many
pennies and dimes Zoey put in the bank.
5 1/8+ 6 1/8 in simplest form
Answer: The answer is 11 1/4
Step-by-step explanation:
can someone PLEASE help?? i would really really appreciate it!!!!
Answer:
j = 8.6 or 8.7
Step-by-step explanation:
tan (60) = j/5
*cross multiply*
j = 5 (tan(60))
j = 8.66
j = 8.7