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Related Questions
Which of the following are properties of the incenter of a triangle? Check all that apply. A. The incenter is where all of the bisectors of the angles of the triangle meet. B. The incenter of a triangle is always inside it. C. The incenter of a right triangle lies on the side opposite the right angle. D. The incenter is where all of the perpendicular bisectors of the sides intersect.
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Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect. So, the correct options are A) and B).
Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect.
According to the definition of incenter the correct statement from the given options will be:
A). The incenter is where all of the bisectors of the angles of the triangle meet.
B). The incenter of a triangle is always inside it.
For more information, refer the link given below:
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Option A and B
Incenter of a Triangle Properties:
A. The incenter is where all of the bisectors of the angles of the triangle meet.B. The incenter of a triangle is always inside it.Step-by-step explanation:
The incenter is where the angle bisectors intersect, making choice A true.The incenter lies inside the triangle, making choice B accurate.The incenter doesn't necessarily lie on the right triangle's side opposite the right angle, making choice C incorrect.The incenter is not where all the perpendicular bisectors of the sides intersect, making choice D false.-6•(-18).......help this is due tomorrow
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108 is the answer
hope this helped, xx
Remember : A negative times a negative is a POSITIVE.
So, the negatives cross each other out.
So, we simply pretend that there are NO negatives in this question.
So, what is 6 × 18?
6 × 18 = 108
Therefore, -6·(-18) = 108
~Hope I helped!~
Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K
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Area of garden = length × width
Area of garden = [3x + 5] × 3x
Area of garden = 3x[3x+5]
Area of garden = 9x² + 15x
Area of pond = [x-2] × x
Area of pond = x[x-2]
Area of pond = x² - 2x
Area to be re-sod = Area of garden - Area of pond
Area to be re-sod = 9x² + 15x - [x² - 2x]
Area to be re-sod = 9x² - x² + 15x + 2x
Area to be re-sod = 8x² + 17x
The amount of sod needed to be bought would depend on how much in each packaging they are being sold.
The quotient of (x^5-3x^3-3x^2-10x+15) and a polynomial is (x^2-5). What is the polynomial
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Answer:
The polynomial is [tex]x^3+2x-3[/tex].
Step-by-step explanation:
The quotient stands for division, so when we are told that the quotient of [tex]x^5-3x^3-3x^2-10x+15[/tex] and a polynomial, we have to think of a division which result is [tex]x^2-5[/tex]. The goal of this exercise is to find the value of such polynomial that is divisor.
Solving for the divisor
We can write the quotient in a general way using proper naming as follows:
[tex]\cfrac{\text{dividend}}{\text{divisor}}=\text{result}[/tex]
Solving for the divisor we have
[tex]\text{dividend}=\text{divisor} \times\text{result}\\\cfrac{\text{dividend}}{\text{result}}=\text{divisor}[/tex]
So the goal is to work with that division to find the polynomial, that is
[tex]\cfrac{x^5-3x^3-3x^2-10x+15}{x^2-5}[/tex]
Long division
In order to set up for long division, we have to realize that the dividend or numerator has not the [tex]x^4[/tex] term, so we can fill it with [tex]0x^4[/tex]
So we will have
[tex]x^5+0x^4-3x^3-3x^2-10x+15[/tex]
Please check the attached image file to see the steps for the long division that will be explained here in text.
The first step is to divide always the first term of the dividend that is the [tex]x^5[/tex] by the first term of the polynomial we are dividing by, that is [tex]x^2[/tex], so we get
[tex]\cfrac{x^5}{x^2} =x^3[/tex]
We write that on top and then we multiply it times the polynomial we are dividing by that is
[tex]x^3(x^2-5) = x^5-5x^3[/tex]
We write that below the dividend and proceed subtracting each column, that will give us
[tex]2x^3-3x^2-10x+15[/tex]
So we can continue with the division, just looking at first terms we get
[tex]\cfrac{2x^3}{x^2}=2x[/tex]
Then we continue multiplying
[tex]2x(x^2-5) = 2x^3-10x[/tex]
And we write that below as can be seen on the attached image, so the subtraction of each column give us
[tex]-3x^2+15[/tex]
Finally we can work with the last division of first terms.
[tex]\cfrac{-3x^2}{x^2}=-3[/tex]
And we write that -3 on top, and we multiply
[tex]-3(x^2-5) = -3x^2+15[/tex]
And work with the last division and we get 0. Getting 0 is a way to verify that there is no remainder and that our work is correct for the quotient.
Lastly the expression on top is the original polynomial of the quotient, we can conclude that the polynomial is [tex]x^3+2x-3[/tex]
Which set of side lengths is a Pythagorean triple?
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11² = 121
60² = 3600
121 + 3600 = 3721
√3721 = 61
6.
(05.05 LC)
A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting gym equipment for x number of days:
Gym Equipment Rentals
Number of Days
(x) (y)
0 25
1 40
2 55
What is the fixed amount charged? (1 point)
$2
$15
$25
$40
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The fixed amount is a price you pay before using equipment. So, it is the price you pay at the 0-th day: 25$.
Then, after one you pay 15 more dollars (25+15=40), and after another day you pay 15 extra dollars again (40+15=55).
So, we can see that the pattern is that you start from $25 (fixed price), and then you pay $15 per day (renting price per day)
Answer:
The answer is 25
Step-by-step explanation:
i did the quiz :)
What is the answer to -n+9n+3-8-8n
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You're just adding and subtracting like terms
answer for 10 points/other drop downs are x value and y values
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The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?
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So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81
Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81
the difference of 3 times a number and 20 is greater then 10
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WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!
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29 out of 74 do not like rap
29/74 = 0.39
31 out of 74 do not like hip hop
31/74 = 0.42
0.39+0.42 = 0.81
answer is 0.81
Describe how the sizes of the 1/2 strip and the 1/6 strip compare. Then descrube how the denominators of the fractions 1/2 and 1/6 are related
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In order to have a clear understanding of how to write 500 words essay, you need to have at least the foggiest idea of what 500-word scholarship essay actually is! Let’s have a closer look at this type of the academic assignment.
The 1/2 strip is larger than the 1/6 strip because dividing something into fewer parts results in larger parts. The relationship between the denominators 2 and 6 is based on the number of equal parts into which a whole is divided, with 6 being a multiple of 2, indicating smaller parts for 1/6.
To compare the sizes of the 1/2 strip and the 1/6 strip, we should visualize the strips as portions of the same whole. Imagine a bar divided into 2 equal parts; one of those parts is the 1/2 strip. Now imagine the same bar divided into 6 equal parts; one of those parts is the 1/6 strip. It's evident that the 1/2 strip is larger than the 1/6 strip because when you divide something into fewer parts, each part is larger.
The denominators of the fractions 1/2 and 1/6 are related through the concept of divisibility and the number of equal parts into which a whole is divided. The denominator 2 in the fraction 1/2 tells us that the whole is divided into 2 equal parts, while the denominator 6 in the fraction 1/6 indicates that the whole is divided into 6 equal parts. Because 6 is a multiple of 2, each part of the 1/6 strip is smaller than each part of the 1/2 strip.
True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
Explanation:A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.
To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.
Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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do the opposite angles in a parallelogram have the same measure please explain why
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Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.
Explanation:Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.
In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.
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Find the area of a triangle with a base of 10 meters and a height of 6 meters
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A = (1/2) * 10 * 6 = 30 m²
given
base=10
height=6
area=1/2 times 10 times 6
area=5 times 6
area=30 squaer meters
A six-sided die with sides numbered 1 through 6 is tossed 2 times. What is the probability that the product of the two toss results will be even?
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The probability of the product being even when two six-sided dice are rolled is 3/4 or 0.75, since there is a 1/2 chance of rolling an even number on each die, and the only way to have an odd product is if both dice show odd numbers.
Explanation:To solve this problem, we will find the probability that the product of two rolls of a six-sided die is even. The product of two numbers is even if at least one of the numbers is even. In the case of a six-sided die, there are 3 even sides (2, 4, 6) and 3 odd sides (1, 3, 5).
For the first roll, the probability of rolling an even number is 3 out of 6, or 1/2. The second roll is independent of the first, so the probability of rolling an even number again is also 1/2. To find the probability that at least one roll is even, we can use the complement rule which states that the probability of an event 'E' is 1 minus the probability of the event's complement. The only way not to get an even product is to roll two odd numbers.
The probability of rolling an odd number on the first toss is 3/6, and similarly 3/6 for the second toss. Therefore, the probability of both being odd is (3/6) × (3/6) which simplifies to 1/4. Hence, the probability of at least one die being even (and therefore the product being even) is 1 - 1/4 = 3/4.
The final answer is that the probability of getting an even product from two rolls of a six-sided die is 3/4 or 0.75.
n someone answer this question for me please : how can I write repeated multiplication using powers ?
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A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.
A=(4-g) 1.5
B=(4-g) + 1.5
C= 4g-g(1.5)
D=(4-g)g
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Answer:
A=(4-g) 1.5
Step-by-step explanation:
Let g be the amount of glycerin in the lotion. We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.
The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.
Answer:
the awnser is A
Step-by-step explanation:
I did the test
Simplify 5 • 2 • (–4) + 6 ÷ 2
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paranthesis
exponents/roots
multiplication/division
addition/subtraction
so your question: 5 x 2 x (-4) + 6 divided by 2
5 x 2 x (-4)= -40
-40 / 2 = -20
-20 + 6 = -14
your answer is -14
hope this helps :D
what is a function?
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it is an expression involving one or more variables
examples:
2x +5
x^2
a+b
Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?
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Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)
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m+5n=20
m=n-4
sub n-4 for m in other equation
n-4+5n=20
6n-4=20
add 4 both sides
6n=24
divide by 6 both sides
n=4
sub back
m=n-4
m=4-4
m=0
(m,n)
(0,4)
Answer:
(m,n) = (0,4)
Step-by-step explanation:
We have
m + 5n = 20 -----------------------eqn 1
m = n - 4 ----------------------------eqn 2
eqn 1 - eqn 2
m + 5n - m = 20 - ( n- 4 )
6n = 24
n = 4
Substituting in eqn 2
m = 4 - 4
m = 0
So the correct set is (0,4)
(m,n) = (0,4)
An auditorium has 40 rows. the first row has 20 seats and each row after has 2 additional seats. How many seats are there total?
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a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
The sum of an arithmetic sequence is the average of the first and last terms times the number of terms.
s(n)=(a+a+d(n-1))(n/2)
s(n)=(2a+dn-d)(n/2)
s(n)=(2an+dn^2-dn)/2
We are told that the initial term a=20 and that the common difference, d=2 so:
s(n)=(40n+2n^2-2n)/2
s(n)=(2n^2+38n)/2
s(n)=n^2+19n, so for 4o rows the total number of seats will be:
s(40)=40^2+19(40)
s(40)=1600+760
s(40)=2360
Answer: 20, 22, 24, 26
An arithmetic sequence
a1=20
d=2
98 seats
an arithamtic series
2,360 total seats
Step-by-step explanation:
Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2
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If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A.
Answer:
it is abtuse triangle
Step-by-step explanation:
no step
Write an expression that is equivalent to
(23.6-7.1a-4.2b)-(5.8b-9a)
Answers
(23.6 - 9a - 5.8b)
Explanation:Steps to simplify the expression:
Combine constant terms:
(23.6 - 7.1a - 4.2b) - (5.8b - 9a) = 23.6 - 7.1a - 4.2b - 5.8b + 9a
Group terms by variable:
(23.6 - 4.2b - 5.8b) + (-7.1a + 9a)
Combine like terms:
19.6 - 10b + (-7.1a + 9a) = 19.6 - 10b + 2a
Rewrite the expression with the simplified terms:
(19.6 - 10b) + 2a
Therefore, the equivalent expression is (19.6 - 10b) + 2a.
Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2
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Solve the compound inequality. 7x > -35 and -5x > -50
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x > -35/7
x > -5
-5x > -50
x < -50/-5
x < 10
-5 < x < 10 <==
Solve the system algebraically.
3x - 2y - 1 = 0
y = 5x + 4
What is the solution?
{(-9/7,-17/7)}
{(9/7,17/7)}
{(9/7,-17/7)}
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3x - 10x -9 = 0
3x - 10x = 9
-7x = 9 x= 9/-7 x=-9/7
y = 5(-9/7) + 4
y= -17/7
The answer is A
workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. paint in all
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80% = 0.80
divide the area done by the percentage:
920/0.80 = 1150
total area is 1150 square feet
4x5 – 12x4 + x3 – 52x2 – 60x – 16 = 0
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The question provided is a fifth-degree polynomial equation in mathematics, specifically algebra, which requires solving for variable x. Higher-degree polynomial equations like this may require numerical methods or synthetic division to solve. The solutions may include both real and complex numbers.
Explanation:The given question is a polynomial equation that requires solving for the variable x. In mathematics, specifically in algebra, solving polynomial equations can sometimes be achieved through factoring, applying the rational root theorem, or using synthetic division. However, the provided equation 4x5 – 12x4 + x3 – 52x2 – 60x – 16 = 0 is a fifth-degree polynomial, which might not have a straightforward solution method such as factoring or simple root identification.
To solve higher-degree polynomials, one can use numerical methods, attempt to factor by grouping (if that results in a solvable factorization), or apply the synthetic division repeatedly to find possible real roots. If the equation can be factored down to quadratic factors, the quadratic formula ax² + bx + c = 0 could be applied to find the roots of those quadratic factors. It's important to note that a fifth-degree polynomial will have five roots according to the Fundamental Theorem of Algebra, which can be real or complex numbers.
Other examples provided in the question seem to be related to solving quadratic equations or conditions for quadratic expressions which are not directly applicable to the fifth-degree polynomial but showcase general algebraic problem-solving techniques.