Answer:
Step-by-step explanation:
We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.
y = ±|a|(x - h)² + k
where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.
The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:
0 = ±|a|(3 - 0)² + 9 and
0 = ±|a|(3)² + 9 and
-9 = ±|a|9 and
-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is
[tex]y=-x^2+9[/tex] or in more detailed form:
[tex]y=-(x-0)^2+9[/tex]
Answer:
-2
Step-by-step explanation:
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
960cm^2
Step-by-step explanation:
surface area = sum of area of one sides
front + back = 336cm^2
side x 2 = 336cm^2
base + top = 288cm^2
sum = 960cm^2
Mark Brainiest, please
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side.
Answer: D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.
For example let's say you have a right angle with side lengths 3,4 and 5.
5 in this case has to be always the hypotenuse.
A could be either 3 or 4 but not 5
And B could also be 3 or 4 but not 5
because A squared plus B squared is always equal to the hypotenuse which is 5.
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
Answer:
D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
I need assistance :D, Instructions: Using the image, find the distance between the points given on the graph.
Answer:
Step-by-step explanation:
You have to use the distance formula to find that distance. The formula is:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:
[tex]d=\sqrt{ (0-4)^2+(-2-(-1))^2}[/tex]
which simplifies to
[tex]d=\sqrt{(-4)^2+(-1)^2}[/tex] which is
[tex]d=\sqrt{17}[/tex] ≈ 4.123 units
I’m stuck can someone help me thank you
Answer:
the answer may be 127.
Step-by-step explanation:when you add 90° + 37° you will get the answer 127
I am not sure.
What is the midpoint of the segment shown below?
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
Answer:
The answer is D
Step-by-step explanation:
1. An arch in the shape of a semicircle is to be set up at the entrance of a festival.
The distance around the arch is about 110 feet. What is the height of the arch, in
feet? Round your answer to the nearest whole number.
Answer:
35 ft
Step-by-step explanation:
The arch is in the shape of a semicircle.
The distance around the arch is about 110 feet. This is the same as the circumference of the arch.
The height of the arch is the radius of the arch.
The circumference of a semicircle is given as:
[tex]C = \pi r[/tex]
where r = radius
Therefore:
110 = πr
=> r = 110/π
r = 35.01 ft ≅ 35 ft
The height of the arch is 35 ft
The height of the arch in feet is 35 ft.
Calculation of the height:Since The distance around the arch is about 110 feet.
We know that
The circumference of a semicircle should be
110 = πr
[tex]r = 110/\pi[/tex]
r = 35.01 ft
≅ 35 ft
hence, we can conclude that The height of the arch in feet is 35 ft.
Learn more about height here: https://brainly.com/question/4089721
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)
Answer:
a
Step-by-step explanation:
The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope of the equation is 3. Then the equation of the line is given as,
y = 3x + c
The equation of the line is passing through the point (-3,-5), then the equation of line will be
y = 3x + c
–5 = 3(–3) + c
–5 = –9 + c
c = 9 – 5
c = 4
Then the equation of the line will be
y = 3x + 4
Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.
Then the correct option is A.
More about the equation of line link is given below.
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I'm in summer school and need help. The situation that is best modeled by a discrete graph is
the daily records of the distance of each hotel from home during a cross-country trip.
the height of a wave over time.
the speed of a motorcycle over the distance it travels.
the body temperature of an athlete during a workout.
Answer:
A. The daily records of the distance of each hotel from home during a cross country trip.
Step-by-step explanation:
A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!
Answer:
A
Step-by-step explanation:
Because I have big brain and also y’all know what edge is I got it correct
jasmine gets $3.00 every time her song gets 1000 monetized streams. If 3/10 of her streams are monetized how much money would she have if she got 3 million streams?
Answer:
$270,000
Step-by-step explanation:
1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000
2. 900,000 divided by 1,000 is 90,000
Then, to calculate the dollar amount we do:
3. 90,000 x 3.00 = 270,000
In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.
Hope this helps!
Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?
The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help
Answer:
n / -5 = 2
n = - 10
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:
[tex]x_{vertex}= -b/2a[/tex]
Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:
[tex]f(-13/4)= -9/8[/tex]
Then your expression for this quadratic should be:
[tex]f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})[/tex]
Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
Need HELP!!!! Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include all of your work in your final answer.
Answer:
[tex]y - 5 = -4(x-5)[/tex]
Step-by-step explanation:
Given
Line coordinates: (5,5)
Perpendicular slope = [tex]\frac{1}{4}[/tex]
Required
Find the point slope form of the line
First, the slope of the line has t be calculated;
Given that two lines are perpendicular;
The relationship between there slopes is given as [tex]m_1.m_2 = -1[/tex]
Let m_2 represent the slope of the second line;
such that [tex]m_2 = \frac{1}{4}[/tex]
So;
[tex]m_1 * \frac{1}{4} = -1[/tex]
Multiply both sides by 4
[tex]m_1 * \frac{1}{4} * 4 = -1 * 4[/tex]
[tex]m_1 = -1 * 4[/tex]
[tex]m_1 = -4[/tex]
Now, the equation of the line can be calculated using slope formula;
[tex]m = \frac{y - y_1}{x- x_1}[/tex]
Where
[tex](x_1,y_1) = (5,5)\\m_1 =m = -4[/tex]
So; [tex]m = \frac{y - y_1}{x- x_1}[/tex] becomes
[tex]-4 = \frac{y - 5}{x- 5}[/tex]
Multiply both sides by x - 5
[tex]-4(x-5) = \frac{y - 5}{x- 5} * (x-5)[/tex]
[tex]-4(x-5) = y - 5[/tex]
Reorder
[tex]y - 5 = -4(x-5)[/tex]
Hence, the line in point-slope form is [tex]y - 5 = -4(x-5)[/tex]
Share £747 in the ratio 2:7 between Tom and Ben.
Tom will get
£
Ben will get
£
[tex]tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps[/tex]
Answer:
Tom=£166
Ben=£581
Step-by-step explanation:
What is the nth term rule of the linear sequence below? − 4 , − 1 , 2 , 5 , 8 ,
Answer:
a
n
=
3
n
−
7
Step-by-step explanation:
Can someone please help?? I need help on the Job one
Answer:
The first one
Step-by-step explanation:
The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament
Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);
C(-3, 2); D(0, -1). Select all that apply.
A) square
B) rhombus
C) trapezoid
D) parallelogram
E) rectangle
F) none of these
Answer:
select answers: A), B), C), D), and E)
Step-by-step explanation:
Please see attached image with the figure obtained by joining the given points.
Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:
rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.
Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)
Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.
Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.
Therefore you need to select answers: A), B), C), D), and E)
x^4-8x^2-33-14y-y^2
Answer:
I'm glad you asked!
Step-by-step explanation:
So let's simplify the number which is all you can do .
[tex]x^{4} -8x^{2} -33-14y-y^{2}[/tex]
= [tex]x^{4} +-8x^{2} +-33+-14y+-y^{2}[/tex]
Answer:
=[tex]x^{4} -8x^{2} -y^{2} -14y+-y^{2}[/tex]
Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9? x = –5.25 x = –2.25 x = –1.25 x = –0.25
Answer:
answer b -2.25
Step-by-step explanation:
The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25
How to determine the zero?We have:
f(x) = 16x^2 + 32x - 9
Next, we test the options.
x = –5.25
f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9
Evaluate
f(-5.25) = 264 --- this is false
x = –2.25
f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9
Evaluate
f(-2.25) = 0 ---- this is true
Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25
Read more about quadratic function at:
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How many tablespoons are in 5 quarts
This equals 320 tablespoons.
Inscribed Angles - What is the value of x? WILL GIVE BRAINLIEST!
Answer:
18
Step-by-step explanation:
hope it helps!
electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period
Answer:
32p
Step-by-step explanation:
the times between 8pm and 11.30pm are:
8pm,9pm,10pm,11pm,11.30pm.
so, find the cost associated with each of them:
8pm: 12p
9pm: 12p
10pm: 12p
11pm:8p
11.30pm: 4p
sum:12+12+12+8+4 = 12 x 4 = 32p
Find the Shaded area 12 cm 18cm 8cm 8cm
Answer:
3,456
Step-by-step explanation:
12x18x(8x2)= 3,456
|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
Answer:
5
Step-by-step explanation:
|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
= a + b - c + d
= 5 + 4 - 1 + (-3)
= 5 + 4 - 1 - 3
= 5 + 4 - 4
= 5
OA= (1,3,-1) and OD=(-1,0,n) find the value of n for which the length of AD is 7 units
Answer:
n = 5
Step-by-step explanation:
0A = (1,3,-1) and OD=(-1,0,n)
AD = √ (-1-1)^2 + (0-3)^2 + (n-(-1))^2
7 = √ (-2)^2 + (-3)^2 + (n+1)^2
7 = √4 + 9 + (n+1)^2
Now squaring both sides we have :
7^2 = (√4 + 9 + (n+1)^2)^2
49 = 4 +9 + (n+1)^2
49 = 13 + (n+1)^2
49 -13 = (n+1)^2
36 = (n+1)^2
Taking the square root of both sides we have :
√36 = √(n+1)^2
6 = (n+1)
6 = n + 1
6 - 1 = n
5 = n
Therefore n = 5
A candle maker uses a mold to make candles like
the one shown below.
(photo attached)
The height of the candle is 13 cm and the
circumference of the candle at its widest measure is
31.416 cm. Use modeling to approximate how
much wax, to the nearest cubic centimeter, is
needed to make this candle.
Answer: 340 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Circumference = 2π radius
Replacing with the circumference value and solving for r:
31.416 =2π r
31.416 /2π =r
5cm =r
And then:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
V = 1/3 π (5)^2 (13) = 340 cm3
Feel free to ask for more if needed or if you did not understand something.
yo plz help asap!! marking brainiest!!
Answer:
1) a²-9a+20
2)a²-12a+20
3)a²+a-20
4)a²-8a-20
Step-by-step explanation:
use (foil)
front
outside
inside
last
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
Answer:
0.62
Complete question:
What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?
Step-by-step explanation:
assuming,
A: Aya gets a coupon one day. P(A) = 0.15
B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85
Aya doesn't get a coupon in any of 6 days = P(B)^6 = 0.85^6 = 0.38
The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:
1 - P(B)^6= 1 - 0.38 = 0.62
Kaleb looks at a tennis court and uses a geometric term to describe two lines that cross at a right angle. What term could use Kaleb use? A. Acute angle B. Parallel lines C. Perpendicular lines D. Straight angle
Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.
Answer:
The percentage change is -21%
Step-by-step explanation:
The percentage change can be expressed by the formula;
(new price -old price)/old price * 100%
New price = £150
old price = £189
Inputing these values in the formula, we have;
(150-189)/189 * 100%
-39/189 * 100%
= -20.63% and that is approximately -21%