Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
What is the radius of the unit circle?
Answer:
1 is the radius of the unit circle. I think.
In mathematics, a unit circle is a circle with a radius of one. The unit circle is the circle of radius one centered at the origin (0, 0)
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
Find five numbers so that the mean, median, mode and range are all 4.
Answer:
The set of five numbers would be {2,4,4,4,6}
Answer:
The example set could be:
S
=
{
2
,
4
,
4
,
4
,
6
}
See explanation.
Explanation:
First you can notice that if the set was:
S
1
=
{
4
,
4
,
4
,
4
,
4
}
then it would fulfill 2 conditions: mean and median, but
the set does not have the mode because all numbers are the same,
the range is zero (again all numbers are the same)
To have the mode the set would have to have at least one element different from
4
, but if we changed only one element the mean would change, so at least two numbers need to be changed to keep mean equal to
4
..
Now to get the range the difference between the changed numbers should be
4
. That leads us to adding two to one number and subtracting two from the other.
Finally we can get the set from the answer.
What is the measure of n?
n
20
m
5
N= [?]
Please help I’ll give brainliest
Answer:
n = 10
Step-by-step explanation:
n is the altitude of the right triangle.
Apply the right triangle altitude theorem/geometric mean theorem to find n.
Which is:
h = √(xy)
Where,
h = n =?
x = 5
y = 20
Plug in the value into the equation
n = √(20*5)
n = √100
n = 10
Answer:
Step-by-step explanation:
9 tens =
Ones how many ones are in 9 10 tens ?
Answer:
90
Step-by-step explanation:
There are 10 ones in 1 ten.
So if you have 9 tens then...
10 x 9 = 90
Maureen went on a 3 day, 50 mile biking trip. The first day she biked 6 miles. The second day she
biked 19 miles. How many miles did she bike on the 3rd day?
Step-by-step explanation:
Given
d1 = 6 miles
d2 = 19 miles
d3 = ?
d1+d2+d3 = 50
6+19+d3 = 50
25+d3 = 50
d3 = 50 - 25
= 25miles
9482 ÷ 497 answer pls
Answer:
19.0784708249
Step-by-step explanation:
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
4 points
Answer:
3 points
Step-by-step explanation:
A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).
So the relation can be represented with points (x, y), which means that point x is being mapped into point y.
Such that the needed condition is that each element of the domain is mapped into only one element in the domain.
So for example, if for a relationship we have the points (a, b) and (a, c)
The point a is being mapped into two different outputs.
Now let's go to our problem, we have the points:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)
If we have repeated inputs, we need to remove points until we have one of each.
We can see that the inputs -3, 1, and 2 are repeated one time.
Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:
(-3, 2), (1, 4), and (2, -4)
This is a function.
Then we need to remove 3 points.
Answer:
C) 3 POINTS
Step-by-step explanation:
ON EDGE 2021
Hello, who would you do me the favor of helping me with this question?
He says:
Show, using the property of the number of diagonals of a polygon, that the triangles have no diagonals.
I hope they help me
Step-by-step explanation:
diagonal of a polygon formular =sum of diagonal =5-3-5/2. A triangle do not have diagonal
I WILL GIVE YOU BRAINLIEST!
What is the measure of n?
12
4
n
m
n =
V[?]
Enter
After answering the question provided, we can predict that the result will be as in the triangle by Pythagorean theorem = [tex]\sqrt{12^2 - 4^2}[/tex] => N = [tex]\sqrt{144 - 16}[/tex] => n = [tex]\sqrt{132}[/tex]
What precisely is a triangle?A triangle is a polygon because it includes four or so additional parts. It features a simple rectangular shape. A rectangle having edges A, B, and C is referred to as a triangle. When the sides are actually not collinear, Euclidean geometry yields a single plane and cube. If a triangle contains three parts and three angles, it is a polygon. The intersections of a triangle's three sides are referred to as its corners. The sum of a triangle's sides is 180 degrees.
by Pythagorean theorem
n = [tex]\sqrt{12^2 - 4^2}[/tex]
N = [tex]\sqrt{144 - 16}[/tex]
n = [tex]\sqrt{132}[/tex]
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Sarah has two pizzas each pizza is cut into 10 equal slices she and her friends 14
slices what part of the pizza did they eat and how much is left right your answer as a decimal
Find the area of a regular 15-gon with radius 64 mm
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
A parallelogram has a base of 10 feet and a height of 12 feet.
Use the figure to complete the statements.
The area of the parallelogram is __________ft2.
First choice: 120
Second choice: 100
Third choice: 144
Fourth choice: 22
Step-by-step explanation:
♨ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]
Base ( b ) = 10 ftHeight ( h ) = 12 ft♨ [tex] \underline{ \underline{ \large{ \tt{ T\: O \: \: F \: I \: N \: D}}} }: [/tex]
Area of the parallelogram☪ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
[tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram ( \: A \: )= base \: (b) \times height \: (h)}}}[/tex]
⟼ [tex] \large{ \sf{10 \: ft \times 12 \: ft}}[/tex]
⟼ [tex] \boxed{ \large \sf{120 \: {ft}^{2} }}[/tex]
☃ [tex] \boxed{ \boxed{ \large{ \sf{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{120 \: {ft}^{2} }}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
Let me know if you have any questions regarding my answer! ☄
☞ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
First choice: 120 ft² is a required answer.
Step-by-step explanation:
The area of the parallelogram is __________ft2.
=base ×height=10×12=120ft²
y = 4x-9
y = x-3
Which method and why? Solve, shoving all work
Answer:
(2,-1)
Step-by-step explanation:
The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.
4x - 9 = x - 3 Subtract x from both sides.
4x-x - 9 = -3 Combine
3x -9 = - 3 Add 9 to both sides
3x - 9+9 = - 3+9
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
===============
Now use the second equation to solve for y
y = x - 3
y = 2 - 3
y = -1
==============
The solution is (2,-1)
Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be in the form "< #, # >". ⟨13,50∘⟩= ⟨1.77,250∘⟩= ⟨5.8,150∘⟩=
9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Need help on this please
Answer:
[tex]x^{2}[/tex] + (y-5)² = 8
The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?
9514 1404 393
Answer:
12
Step-by-step explanation:
Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...
x + y + 2x = 27 ⇒ y = 27 -3x
The requirement that the middle number is y gives rise to the inequality ...
x < y < 2x
Substituting for y, we have ...
x < 27 -3x < 2x
Adding 3x gives us ...
4x < 27 < 5x
These two inequalities give us the requirement that ...
27/5 < x < 27/4
5.4 < x < 6.75
The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.
The greatest number is 12.
sharon bought a $2,100 high definition television set on a six month rent to own plan. the down payment was 10%. what was the dollar value of the down payment? her monthly payments were $75 per month. if she decides not to buy the HDTV after the six months, what was her cost to rent it?
Answer:
Total Sharon spent $660 for the tv
The down payment was $210
The amount that she paid for rent after 6 months is $450
Step-by-step explanation:
To find out how much her down payment was you would need to find out how much 10% of $2,100 is which is $210, so you know her down payment was $210.
Then you would find out the total cost of rent is after 6 months so you would do 6 times $75 which is $450. So if she decides to not buy it then after 6 months she would have spent $450 to rent it.
And total she would have spent $660 which you can find out by doing $450 + $210 = $660.
i didn’t mean to pick that but can some one please give me the answer :(
Answer:
you were right
Step-by-step explanation:
180-104 is 76 76-10=66 66/2 is 33
Answer: x = 33
Step-by-step explanation:
Well since that line is basically equal to 180 all you have to do is plug in those numbers for x. Since 33 + 10 = 43 Alll you gotta do is add that up. So we have 104 + 33 + 43 = 180. I’m not the best at explaining things but I hope this helped :)
California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is
Question Completion:
California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.
If the underlying population SDs are equal, a simple random sample of 1000 people in California is
(i) about half as accurate
(ii) about 1/V2 times as accurate
(iii) about as accurate
(iv) about V2 times as accurate
(v) about twice as accurate
as a simple random sample of 1000 people in New York State.
Answer:
If the underlying population SDs are equal, a simple random sample of 1000 people in California is
(i) about half as accurate
as a simple random sample of 1000 people in New York State.
Step-by-step explanation:
Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.
Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.
This is because accuracy is enhanced by a larger sample size. This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.
Find the quadratic root of 3x2-4x+2=0
Answer:
Step-by-step explanation:
Find an angle between 0 and 2 pi that is coterminal with -17 pi/ 10
Answer:
3pi/ 10
Step-by-step explanation:
Enter a problem...
Trigonometry Examples
Popular Problems
Trigonometry
Find the Reference Angle (17pi)/10
17π1017π10
Since the angle 17π/ 10 is in the fourth quadrant, subtract 17π/10 from2π.
2π−17π/10
The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].
What is coterminal angle?Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.
Angles are considered to be in standard position if the initial side is on the positive x-axis and the vertex at the (0,0) point of the Cartesian plane. All angles generated that share the same terminal side are coterminal angles. These are angles that have differences of multiples of 360n or n2pi where n is an integer.
A coterminal angle is found by simply adding or subtracting 360 and its multiples.
The coterminal angles of 20 degrees for example are 20 + 360 = 380 or 20 - 360 = -340. This may continue by adding or subtracting 360 each time.
To get coterminal angles, you simply have to add or subtract 2[tex]\pi[/tex].
According to this problem,
We are looking for a coterminal angle that is between 0 to 2[tex]\pi[/tex], so we will add [tex]2\pi \ to \ \frac{-17\pi }{10}[/tex].
= [tex]\frac{-17\pi }{10} +\frac{20\pi }{10}[/tex]
= [tex]\frac{-17\pi +20\pi }{10}[/tex]
= [tex]\frac{3\pi }{10}[/tex]
Hence,
The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].
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URGENT GIVING BRAINLY and pts
Answer:
I think it's C.
What is the domain of the function y=xVx?
- 0
0
0
O 15x<0
Answer:
Option A will be your answer
Step-by-step explanation:
hope it helps...
have a great day!!
The cube root function , has no domain restrictions. The domain of the cube root function is all real numbers, or ℝ .
What is domain ?The domain of a function is the complete set of possible values of the independent variable.
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain, remember:
The denominator (bottom) of a fraction cannot be zero.
The number under a square root sign must be positive in this section.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Domain: (- ∞ , ∞) , {x | x ∈ [tex]\mathbb{R}[/tex]}
Hence, The domain of the cube root function is all real numbers, or ℝ .
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Tickets to a play cost $8.00 each.
Write an expression to find the
total cost of "b" boys &
"g" girls.
Answer:
Step-by-step explanation:
b + g = 8x
Martin cycles at an average speed of 12mph. On Tuesday, he leaves his house at 9:15am
and goes on a bike ride for 40 miles. What time does he arrive home?
Step-by-step explanation:
40÷12= 3.33
so it approximately takes him 3hrs and 18minutes
so 9:15 + 3hrs 18 minutes is 12: 33 pm?
On a survey, 3 out of every 8 band members prefer listening to jazz music. Based on the survey, how many out of 240 band members would prefer listening to jazz music
Answer:
90
Step-by-step explanation:
The graphs of triangles LMN and NOP are shown.
which of the following best describes the slope of line LP?
A) 5/2
B) 2
C) 2/5
D) 1/3
===========================================================
Explanation:
Point L is located at (-8, 1) while P is at the point (7,7)
Let's apply the slope formula for these two points
m = (y2-y1)/(x2-x1)
m = (7-1)/(7-(-8))
m = (7-1)/(7+8)
m = 6/15
m = (3*2)/(3*5)
m = 2/5 is the slope of line LP
A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.
caculate the VAT inclusive amount for R42,42
Answer: R47.66
Step-by-step explanation:
Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.
The VAT inclusive amount is therefore:
= 42.42 * ( 1 + tax rate)
= 42.42 * ( 1 + 12.36%)
= R47.66
PLS HELP ME ASAP! Dont answer for points & no links for other sites or i will report you. I'm running out of points plss
Brainliest for correct answer asap
Answer:
1st one
Step-by-step explanation:
Step-by-step explanation:
answerss
the Last one or the 1st one but go w it the last