Answer:
A. 2 units
Step-by-step explanation:
took the test and got it right
The radius of the circle is r = 2 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of the circle be represented as A
Now , the value of A is
( x - 7 )² + ( y - 10 )² = 4
The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation
Taking the square root of 4, we find that the radius of the circle is 2 units
Hence , the radius is r = 2 units
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Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help
Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
We can conclude that the statement:
There are values of x for which f(x) = g(x)" is true.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,
We can substitute the expressions for f(x) and g(x) into the equation and simplify:
f(x) = g(x)
2x + 3 = x^2
Now we have a quadratic equation.
We can rearrange it to standard form and solve for x using the quadratic formula:
x² - 2x - 3 = 0
a = 1, b = -2, c = -3
x = (-b ± √(b² - 4ac)) / 2a
x = (2 ± √(16)) / 2
x = (2 ± 4) / 2
x = -1 or x = 3
Therefore,
The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.
Thus,
Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.
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Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.
Answer:
-13
Step-by-step explanation:
negative 13 = -13
Tisha scored an average of 18 points in each of her first five basktetball
games. Altogether, how many points did she score in her first five
games?
Answer:
90 pts.
Step-by-step explanation:
In general, you need to multiply the average points she got in each game by how many games she played.
So therefore you'd do:
18 x 5
= 90 pts.
In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?
Answer:
60
Step-by-step explanation:
We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...
red : blue : yellow = 14 : 15 : 6
Multiplying this by 4 will give 24 yellow chairs:
4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.
60 chairs are blue.
Please help
Simplify :3x^5+4x^2-8x^5+3x^2-8x
Answer:
-5x^5 + 7x^2 - 8x
Step-by-step explanation:
Add like terms:
3x^5 - 8x^5 = -5x^5
4x^2 + 3x^2 = 7x^2
6x2 + 108x + 707 = 5
Answer:
[tex]x=-9\pm6i[/tex]
Step-by-step explanation:
[tex]6x^2+108x+707=5[/tex]
[tex]6x^2+108x+702=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}[/tex]
[tex]x=\frac{-108\pm\sqrt{-5184}}{12}[/tex]
[tex]x=\frac{-108\pm72i}{12}[/tex]
[tex]x=-9\pm6i[/tex]
the three altitudes of a triangle intersect at the:
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.
is y in y + 2z + 45 + 5x a constant?
Answer:
See below
Step-by-step explanation:
No, a constant is a number without a variable ( variables are represented with a letter )
y is a variable as it is a letter.
The constant in y + 2z + 45 + 5x would be 45 as it has no variable.
What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?
Elizabeth took out a 3year loan to buy a car at 4.4% simple interest rate. If she initially borrowed $1,400 how much interest will she have to pay
Answer:
is 61.6 on there? because if so I believe it's that
Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.
(sin^2(0)) I really need help with this asap
Answer:
Asapa
[tex] (sin2(0) [/tex]
SOS, I really need help! I accidentally slept in.
Dynamite blue fire red grape purple
In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X
Answer:
x=6
Step-by-step explanation
So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.
If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.
Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!
A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?
Alma was definitely correct to say that the tickets are $14 each.
The total amount in dollars the class have for tickets to the science museum
is $140.
The teacher writes as follows:
140 ÷ 10 = 14Alma says the tickets are $14 each.
Mohammed says that 14 students are going for the trip
The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.
The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.
Therefore, Alma was definitely correct.
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I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!
Answer:
Step-by-step explanation: there you go
in the diagram below, what is the value of X?
Answer:
x=15
Step-by-step explanation:
Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.
What is the quotient? StartFraction 3 y 2 Over 3 y EndFraction divided by StartFraction 6 y squared 4 y Over 3 y 2 EndFraction StartFraction 1 Over 2 y EnDfraction StartFraction 3 y 2 Over 6 y squared EndFraction StartFraction 1 Over y EndFraction StartFraction 2 (3 y 2) Over 3 EndFraction.
The quotient of the expression is [tex]\frac{1}{2y}[/tex]
The expression is given as:
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2}[/tex]
Divide 3y^2 by 3y
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \div \frac{6y^4}{3y^2}[/tex]
Rewrite the equation as a product
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{3y^2}{6y^4}[/tex]
Divide 6 by 3
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{y^2}{2y^4}[/tex]
Multiply y and y^2
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{y^3}{2y^4}[/tex]
Divide y^3 by y^4
[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{1}{2y}[/tex]
Hence, the quotient of the expression is [tex]\frac{1}{2y}[/tex]
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Answer:
its B
Step-by-step explanation:
Please help me with this question.
Answer:
TrueTrueStep-by-step explanation:
Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.
Line CD does not go through P, so C'D' is distinct and parallel to it (True).
Angles B and B' are congruent. (True)
[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!
Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby eucalyptus tree is 20 feet long. Write and solve a proportion to find the height of the tree.
Answer:
25 feet long
Step-by-step explanation:
this is because the ratio is 4:5
so if one side is 20 then the other side must be in proportion to 4:5
multiply both sides by 5 and u get 20:25
hope that helps
Help please!!
Question in picture!
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.
Party. Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.
Find a number of plates and cups that meet her requirement.
How many packs of each supply will she need to buy to get that number?
Name two other quantities of plates and cups she could get to meet her requirement.
Tiles. A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.
How many of these largest size tiles are needed?
Name more tile sizes that are the whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.
Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school’s hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5).
Name three lockers that will get both stickers.
After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.
Kits. The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.
What is the largest number of kits the nurse can make?
How many bandages and lozenges will be in each kit?
What kind of mathematical work was involved in each of the previous problems? Put a checkmark to show what the questions were about.
Evaluation: What Kind of Problem?
1. For each problem, tell whether finding the answer requires finding a greatest common factor or a least common multiple. You do not need to solve the problems.
a. Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
b. A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third second. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?
c. A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she order both kinds of flowers on the same day?
d. Noah has 12 yellow square cards and 18 green ones. All the cards are the same size. He would like to arrange the square cards into two rectangles—one of each color. He wants both the yellow and green rectangles to have the same height and to be as tall as possible. What is the tallest possible height for the two rectangles?
2. Explain how you know which problem(s) involves finding the greatest common factor.
PLZ SOMEONE HELP ME
NO LINKS PLz
Answer:
-11[tex]\leq[/tex]x[tex]\leq[/tex]8
Step-by-step explanation:
The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.
8. Phil received a commission of 5% on
the sale of a house. If the amount of
his commission was $4780, what was
the selling price of the house?
What’s the answer
Answer:
$95,600
Step-by-step explanation:
the question can be rephrased as '4780 is five percent of what number'?
we can use the ratio of 'is/over' = %/100 to solve
'is' = 4780
'of' = selling price of house ('p')
4780/p = 5/100
now cross-multiply:
5p = 478000
p = 95600
1 point
4.) Tom's goal is to save an average of $55 a week for six weeks. For the
first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he
can save in week 6 to meet his goal?
80
55
95
65
Verify whether:
p(x)= 3x+1 has x=-1/3 as a factor
Hey there!
p(x) = 3x + 1
y = 3x + 1
y = 3(-1/3) + 1
y = -1 + 1
y = 0
Therefore, your answer SHOULD be: y = 0
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help me!
ty :)
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps
Find the side lengths in the following triangle.
Answer:
I'm not too sure which one you need, so choose what answer needs to go in the box!
JL= 44.5
JK=23.3
KL=23.3
Step-by-step explanation:
Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:
V N
4x - 10.7 = 2x + 6.3
+10.7. +10.7
_________________
4x = 2x + 17
-2x -2x
2x = 17
So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.
2x = 17
÷2. ÷2
_______
x = 8.5
So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.
4 × 8.5 = 34
34 - 10.7 = 23.3
Since JK and KL are equal, they are both 23.3.
5 × 8.5= 42.5
42.5 + 2 = 44.5
JL=44.5
y=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation
Answer:
(3,3)
Step-by-step explanation:
To find the y - value that corresponds to x=3 , substitute the x - value in the equation.
y=4x-9
y=4*3-9
y=12-9
y=3
Therefore, (3/3) is the solution to the equation.
I hope it helps.
Answer:3,3
Step-by-step explanation: bc khan