Answers
Related Questions
Given equation of a circle: x^2 – 4x + y^2 + 6y = 12 rewrite it in a standard form. Find its radius and coordinates of its center. Standard Form:_____
r:_____
Center:____
Answers
Answer:
The standard form is:
(x - h)² + (y - k)² = r², where (h, k) is the center, r is the radiusConvert the given into standard form by completing square:
x² - 4x + y² + 6y = 12x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9(x - 2)² + (y + 3)² = 25(x - 2)² + (y + 3)² = 5²The standard form is above.The center is (h, k) = (2, -3)The radius is r = 5Complete the table for the given rule.
Rule: y is 0.75 greater than x
x y
0
3
9
Answers
The complete table is
x y
0 0.75
3 3.75
9 9.75
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression or equation.
According to the given question.
We have values of x.
Also, one rule that y is 0.75 greater than x.
So, we have a equation for finding the value of y i.e.
[tex]y = x + 0.75..(i)[/tex]
For finding the value of y
At x = 0, substitute x = 0 in equation (i)
[tex]y = 0 + 0.75\\\implies y = 0.75[/tex]
At x = 3, substitute x = 3 in equation (i)
[tex]y = 3+0.75\\\implies y = 3.75[/tex]
At x = 9, substitute x = 9 in equation (i)
[tex]y = 9+0.75\\\implies y = 9.75[/tex]
Hence, the complete table is
x y
0 0.75
3 3.75
9 9.75
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A ping pong ball is drawn at random from an urn consisting of balls numbered 2 through 10.A player wins 5 dollars if the number on the ball is odd and loses 5 dollars if the number is even. What is the expected value of his winnings? Round to 3 decimal places.
A card is drawn at random from a standard deck of playing cards (no jokers). If it is red, the player wins 1 dollar; if it is not red, the player loses 5 dollars. Find the expected value of the game.
In a class there are 16 students: 2 are 5'6", 3 are 5'8", 3 are 5'10", 4 are 6', and 4 are 6' 2". A student is chosen at random. What is the student's expected height in inches? Round to the nearest tenth of an inch.
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19.2 inchesㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
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The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 1 inches less than 3 times the perimeter. Find the length and width of the rectangle.
Answers
Answer:
The length is 13, when the width is 11
Step-by-step explanation:
The width is x, when the length is x+2. The area is x(x+2)= x^2+2x.
The perimeter is (x+x+2)*2= (2x+2)*2=4x+4
THe thrre times perimeter is 3(4x+4)= 12x+12
x^2+2x= 12x+12-1
x^2+2x-12x-11=0
x^2-10x-11=0
x=-1 (not suitable); x=11 - the width
The length is 11+2=13
In parallelogram ABCD,AB^4+AD^2+AB^2*AD^2=AC^2*BD^2.If angle ABC=x,find the product of all possible values of x
Answers
Answer:
Hello,
Step-by-step explanation:
AB=DC=b, AD=BC=a
p=BD, q=AC
angle ABC=x
[tex]AB^4+AD^4+AB^2*AD^2=AC^2*BD^2\\\\b^4+a^4+b^2a^2=(a^2+b^2+2abcos(X))(a^2+b^2-2abcos(X)\\\\(a^2+b^2+2a^2b^2)-a^2b^2=((a^2+b^2)^2-4a^2b^2*cos^2(X))\\\\\\4a^2b^2cos^2(X)=a^2b^2\\\\\\cos^2(X)=\dfrac{1}{4} \\\\(cos(X)-\dfrac{1}{2} )(cos(X)+\dfrac{1}{2} )=0\\cos(x)=\frac{1}{2} \ or\ cos(X)=\dfrac{-1}{2} \\\\\\X=60^o =\dfrac{\pi}{3} rad \ or \ X=120^o=\dfrac{4\pi}{3} rad\\\\\\\\Product=\dfrac{\pi}{3}*\dfrac{4\pi}{3} =\boxed{\dfrac{4\pi^2}{9}}\\[/tex]
3x²+12x-15=0 factrozation method quadratic equations
Answers
Answer:
x = -5 or x = 1
Step-by-step explanation:
[tex] 3{x}^{2} + 12x - 15 = 0 \\ {x}^{2} + 4x - 5 = 0 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1[/tex]
hope this makes sense:)
In a mathematics class, half of the students scored 86 on an achievement test. With the exception of a few students who scored 46, the remaining students scored 77. Which of the following statements is true about the distribution of scores
Answers
Answer:
B. The mean is less than the median.
Step-by-step explanation:
Say there was 20 kids: 10 kids(half) scored 86's, 3 kids(a few) scored 45's, and 7 kids(the remaining) scored 77's.
The median would be- 81.5 (chronological order, find the middle number)
The mean would be- 76.85 (sum of all the scores divided by the number of scores)
The mode would be- 86 (most frequent number)
The mean(76.85) is less than(<) the median(81.5)
Find the surface area of the figure below round your answer to the nearest tenth in necessary
Answers
Answer:
1548.3 [tex]m^{2}[/tex]
Step-by-step explanation:
Answer:
A = 1548.3 m²
Step-by-step explanation:
The total money earned if we sold for scarves at $20 each
Answers
Answer:
below
Step-by-step explanation:
Depending on the amount of scarves you sell, you will multiply that amount to $20 since that is the unit rate. For example, if you sold 5 then you would multiply; 20 * 5 = $100.
Best of Luck!
Answer:
Say t is the total money and x is the number of scarfs sold your equation would look like, t=20x
You could find the total amount of money earned by putting in the number of scarfs sold in x's spot.
Find the assessed value of a store with a market value of $ 163,000
if the rate for assessed value is 25% of market value.
Answers
9514 1404 393
Answer:
$40,750
Step-by-step explanation:
Leaving out the extra words, the question is asking you to find 25% of $163,000.
0.25 × $163,000 = $40,750
The assessed value is $40,750.
Given that,
→ Rate for assessed value = 25%
→ Market value = $ 163,000
We have to find,
→ 25% of $ 163,000
Then value of 25% is,
→ 25 ÷ 100
→ 0.25
Let's find the assessed value,
→ 25% × $ 163,000
→ 0.25 × 163,000
→ 40750
Thus, $ 40750 is assessed value.
Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
Answers
Answer:
Step-by-step explanation:
(D). The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
The location of the points A' and B' after dilation is Option(D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
What is dilation of a line segment ?The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1, the image of line segment will be larger than the original line, and if the scale factor is less than 1 , the image will be smaller than the original line.
How to find the coordinates of the points by dilation of given line segment ?The original line segment is given in the figure with points A and B as A(0,2) and B(2,0) .
When the line segment is dilated by a scale factor of 3, we can draw a parallel line which will be larger than the pre-image of the original line segment.
Also, the new coordinates of the points A and B will also increase by a factor of 3.
Therefore, we have A'(0,6) and B'(6,0) as the new coordinates of the line segment.
Thus, the location of the points A' and B' after dilation is Option(D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
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find the least number that can be divided 9and 12 without leaving remainder
Answers
Answer:
By finding LCM of 9 and 12 the answer is 36
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
the image is located below
Answers
Answer:
288 ft³
Step-by-step explanation:
Volume of the pyramid,
base area × height × (1/3)
= (9×8)×12/3
= 72×4
= 288 ft³
graph inequality by shading like x< 3 is shaded to right or left ? of 3
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Answer:
x<3 means x is less than 3.
Think about a number line, the more left you go, the smaller the numbers get.
So, to represent x<3, you would shade to the left.
Let me know if this helps!
find a factor of 5, 15 and 25
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a common factor of 5, 15 and 25 is 1 and 5
From -13°C to 15°C.
a. -28°C
b. -2°C
C. 28°C
d. 2°C
Answers
ccccccccccccccccccccccc
Answer:
Option B
-13°c-2°c= 15°c
hope it helps
Discussion Topic
29
The most important component of a physical structure is a solid foundation on which the
rest of the structure sits. A strong foundation allows buildings to last longer and withstand
many outside forces.
Just like the foundation of a building, a strong foundation for algebra is critical for success
and allows you to extend your understanding to more complex mathematical and real-
world situations. What are some of the foundational, or key, concepts of algebra that you
have learned so far?
Answers
We have that with a brief introduction to Algebra you are required to You are to refer to your curriculum and teachings and discover the foundational, or key, concepts of Algebra that you have learned so far and structure its respectively as you have learned
For This Question you are a asked to highlight what the are the foundational and key concepts of algebra
So you are tasked to refer to your Notes and pick out the foundational, or key, concepts of algebra that you have learned so far according to your curriculum.
Algebra
This is a branch of mathematics that strictly focuses on mathematical Operator or Arithmetic operators and how the are used in there variant ways or combined to solve problems.
Mathematical Operators(-,+,/,*)
To Identify some fundamental and key concepts of Algebra like there use in
ExpressionsEquationsUsed in Graph plotsUsed to resolve Inequalities on the Number line.These are Few key concepts where Algebras feature.In conclusion
You are to refer to your curriculum and teachings and discover the foundational, or key, concepts of Algebra that you have learned so far and structure its respectively as you have learned.
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Answer:
Some of the foundational key concepts I have learned from algebra so far are: we have learned Expressions, Equations, we have Used Graphs, we have learned how to resolve Inequalities on the Number line, I have learned how to do variables, constants, linear equations, and quadratic equations. those are just very few examples of things me and so many have learned so far in Algebra.
Step-by-step explanation:
if 2/-5 x=-10/x what is the value of x
Answers
Answer:
± 5
Step-by-step explanation:
2x/-5 = -10/x
2x^2 = 50
x^2 = 25
x = ± 5
Answer:
x=5
Step-by-step explanation:
Start with writing it like 2x/-5= -10/x
Then cross multiply: 2[tex]x^{2}[/tex]= 50
Divide by 2: [tex]x^{2}[/tex]=25
Square root of 25: 5
x=5
An art teacher has 60 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each
student get? Write the answer as a mixed number.
Answers
Answer:
60.5/25
2 21/50
Step-by-step explanation:
60.5/25
Equals
2 21/50
I have a math test it’s 10 questions and I have 20 mins to complete it. who can help??
Answers
Why
Do
You
Need
People
To
Do
It
For
You
2) 70 = -7a
Please help me !
Answers
a = x
70 = -7x
70 = -7 X x
70 = -7 X -10
Answer
x = -10
x = a
a = -10
-(-)=+
-(+)=-
+(+)=+
+(-)=-
Positive Multiplied Or Divided By A Negative Will Always Be A Negative.
Positive Multiplied Or Divided By A Positive Will Always Be A Positive.
Negative Multiplied Or Divided By A Negative Will Always Be A Positive.
Negative Multiplied Or Divided By A Positive Will Always Be A Negative.
For U.S. adult males, the mean height is 174 cm with a standard deviation of 5 cm and the mean weight is 86 kg with a standard deviation of 10 kg. Elmer is 185 cm tall and weighs 102 kg. It is most nearly correct to say that
Group of answer choices
Elmer's weight is more unusual than his height
Height has more variation than weight
Elmer's height is more unusual than his weight
Height and weight have the same degree of variation
Answers
Answer:
The answer is
Height and weight have the same degree of variation
Answer:
The Answer. is height and weight have the same degree of variation.
The art teacher bought 19 sketchbooks for $2.98 per book. What equation can be used to find the total cost of the sketchbooks?
Answers
Answer:
y = 2.98x
Step-by-step explanation:
x = number of sketchbooks
y = total cost
Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;
m is perpendicular to p
Answers
9514 1404 393
Answer:
m = j +kn = 2i +kStep-by-step explanation:
There are an infinite number of possibilities. Any vector whose dot-product with p is zero will be perpendicular to p.
Let m = 0i +1j +ak. Then we require ...
m·p = 0 = 0×1 +1×2 +a(-2) ⇒ 0 = 2 -2a ⇒ a = 1
m = 0i +1j +1k
__
Let n = 2i +0j +bk
n·p = 0 = 2×1 +0×2 +b(-2) ⇒ 2 -2b = 0 ⇒ b = 1
n = 2i +0j +1k
HELP PLS! :)
In ΔABC, AB = 10 and BC = 5. Which expression is always true?
A. AC = 10
B. 5 < AC < 10
C. AC = 5
D. 5 < AC < 15
Answers
===========================================================
Explanation:
AB = 10 and BC = 5 are two sides of triangle ABC. The third missing side is AC. We don't have enough information to determine the exact length of AC, but we can narrow things (a bit) to get a range of values.
Through a modified version of the triangle inequality theorem, if we had sides a = 10 and b = 5, then the third side c is restricted like so
a-b < c < a+b
10-5 < c < 10+5
5 < c < 15
This then means that 5 < AC < 15 is the compound inequality that tells us the range of values for side AC. It says that AC is between 5 and 15 units long. Side AC cannot be 5 units exactly, and it can't be 15 units exactly either. I recommend cutting out slips of paper to try this out yourself, and you'll see it's not possible to have something like AC = 15.
So that's why choice D is the answer. Choice A is true, because 10 is between 5 and 15, but it's not the only possible value for AC. There's more to the story. That's why I'm thinking choice D is the better answer. It encapsulates all possible lengths of AC.
Subtract.
7x2 - 5x+3
(2x² + 7x-4)
Answers
Answer:
7×=14
5×3=15
5+3=8
7×4=28
7-4=3
2×2=4
if add this all will get the answer as 72
if we will subtraction answer will be as -44
Step-by-step explanation:
so we will get the answer asaddition = 72
subtraction= -44
so this is the answerplease give me points
I need help with number 4
Answers
Answer: Choice D
[tex]f^{-1}(x) = (x-3)^2+2\\\\[/tex]
============================================================
Explanation:
First we replace f(x) with y. This is because both y and f(x) are outputs of a function.
To find the inverse, we swap x and y and solve for y like so
[tex]y = \sqrt{x-2}+3\\\\x = \sqrt{y-2}+3 \ \text{ .... swap x and y; isolate y}\\\\x-3 = \sqrt{y-2}\\\\(x-3)^2 = y-2 \ \text{ ... square both sides}\\\\(x-3)^2+2 = y\\\\y = (x-3)^2+2\\\\f^{-1}(x) = (x-3)^2+2\\\\[/tex]
Note: because the range of the original function is [tex]y \ge 3[/tex], this means the domain of the inverse is [tex]x \ge 3[/tex]. The domain and range swap roles because of the swap of x and y.
As the graph shows below, the original and its inverse are symmetrical about the mirror line y = x. One curve is the mirror image of the other over this dashed line.
Answer:
D
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\sqrt{x-2}[/tex] + 3 ( subtract 3 from both sides )
y - 3 = [tex]\sqrt{x-2}[/tex] ( square both sides )
(y - 3)² = x - 2 ( add 2 to both sides )
(y - 3)² + 2 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = (x - 3)² + 2 → D
on a 25 square grid how many squares need to be shaded to make 60% shaded
Answers
Answer:
15 squares
Step-by-step explanation:
60/100 * 25 = 15
I really need help with this one
Answers
FG + GH = FH
3x + 4x = 14
7x = 14
14/7 = 2
x= 2
Which expression is equivalent to s +5+5
Answers
s + 5 + 5
= s + 10
Must click thanks and mark brainliest
