The relation written as a set of ordered pair is given as: : {(–2, 2), (0, 0), (3, –3)}. (Option D)
What is an ordered pair?An ordered pair is a in math is one that comprises coordinates of one point in the coordinate system where the first is the x coordinate and the other is representative of the y coordinate.
Thus the correct ordered pair is option D. See the graph attached.
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Need the answer to the question
Solve the equation.
{x-3}{5}=12
Answer: 63
Step-by-step explanation:
I assume you meant (x+3)/5 = 12.
(x-3)/5 = 12 [given]x-3 = 60 [multiply both sides by 5]x = 63 [add 3 to both sides]5b+a-2c when a=2,b=1&c=3
5b+a-2c when a=2,b=1&c=3
5(1) + 2 - 2(3)
5 + 2 - 6
7-6
Answer: 1
Rewrite each expression as a function of a single angle.
sqrt[(1 - cos 170°) / 2]
By using trigonometric rules and expressions we find that the expression [tex]x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }[/tex] is equivalent to single trigonometric expression x = sin 85°.
How to simplify a trigonometric expression
In this question we must apply trigonometric rules to simplify a given number, in which case we can take advantage of this expression:
[tex]\sin \frac{\theta}{2} = \sqrt{\frac{1 - \cos \theta}{2} }[/tex]
If we know that [tex]x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }[/tex], then the rewritten expression is:
x = sin 85°
By using trigonometric rules and expressions we find that the expression [tex]x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }[/tex] is equivalent to single trigonometric expression x = sin 85°.
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Lines CD and DE are tangent to circle A, as shown below:
Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 110 degrees. Point B lies on circle A.
If arc CE is 110°, what is the measure of ∠CDE?
55°
70°
100°
Using the outside angle theorem, the measure of angle CDE is: 70°.
How to Apply the Angle of Intersecting Tangents Theorem?According to the angle of intersecting tangents theorem, we would have the following equation using the diagram given:
Angle CDE = ½(measure of arc CBE - measure of arc CE)
Given the following:
Measure of arc CE = 110°Measure of arc CBE = 360 - 110 = 250°Plug in the values into the equation
Angle CDE = ½(250 - 110)
Angle CDE = 70°
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Answer: Angle CDE = 70°
Step-by-step explanation:
sin 30°-cos 30°÷ sin 60°
Answer:
-1/2
Step-by-step explanation:
sin(30 degrees) = sin (pi/6) = 1/2
cos(30 degrees) = cos (pi/6) = [sqrt(3)]/2]
sin (60 degrees) = sin(pi/3) = [sqrt(3)]/2]
1/2 - [sqrt(3)/2] / [sqrt(3)/2] = -1/2
The area of the square is 36 square cm. Find its side.
Answer:
s = 6 cm
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 36 , then
s² = 36 ( take square root of both sides )
s = [tex]\sqrt{36}[/tex] = 6
Unit 2 Show Your Work, BYU Geometry Part 1
The true statements about ∠MJK and ∠MJL are
The sum of the two angles is 180 degreesJK and JL are opposite raysJK and JL form a straight lineHow to determine the true statements?The statement is given as:
∠MJK and ∠MJL are a linear pair of angles and the angles are also supplementary
As a general rule, linear pair angles are adjacent angles that add up to 180 degrees. This means that:
They are supplementary anglesThey have a sum of 180 degreesThe angles may or may not be congruentThey have opposite rays i.e. straight lineThe above means that, the following options are true:
(e), (f) and (h)
Also, the converse of the statement is:
∠MJK and ∠MJL are supplementary angles and the angles are also linear pair of angles
This is false because not all supplementary angles are linear pair angles
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What's the length of an arc with a central angle of 120and a radius of 5 inches?
Answer:
(10/3)π units
Step-by-step explanation:Mark if it is correct
Answer:
[tex]\frac{10\pi }{3}[/tex] inches
≈ 10.5 inches
Step-by-step explanation:
The formula for arc length is as follows:
Arc length = [tex]\frac{\theta}{360} * 2\pi[/tex]
[tex]\frac{120}{360} * 10\pi \\= \frac{1}{3} * 10\pi \\= \frac{10\pi}{3}[/tex]
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In the number line below, JK is 5, LM is 6, and KL is 4. What is the length of the line segment formed by the midpoint of JK and midpoint of LM?
Answer:
By splitting the line segments into equal parts, we find that the length of the line segment formed by joining the mid-points is 5.5 units.
Step-by-step explanation:
Given lengths show that the length of JK is 5 units, KL is 4 units and LM is 6 units. Let the midpoint of JK be A. This means JK is splited into two equal parts JA and AK. Since the lengths of both the segments are same, it will be 5/2 = 2.5 units.
Now, let the midpoint of LM be B. So, we have two equal line segments LB and BM of length 6/2 = 3 units.
So, the length of the line segment formed by joining A and B will be 2.5 + 3 = 5.5 units
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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
4y^4
Step-by-step explanation:
This polynomial is supposed to be ordered:
-3x^4+4y^4+5x^2y^2-10xy^3+9x^3y
I dont totally understand the question but I hope the ordered polynomial helps
What is the difference of the polynomials?
(x² + x³ + x² + x) - (x²-x³+x²-x)
© 2x2
O 2x³+2x
O x6 +x²
O 2x5+2x²
Answer:
2x³ + 2x
Step-by-step explanation:
(x² + x³ + x² + x) - (x² - x³ + x² - x)
= x² + x³ + x² + x - x² + x³ - x² + x
Gathering like terms...
x³ + x³ +x² + x² -x² - x² + x + x
= 2x³ + 2x
The difference of the polynomials is 2(x³+x).
What is a polynomial?A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Given are two polynomials (x² + x³ + x² + x) and (x²-x³+x²-x), we need to find the difference,
So,
(x² + x³ + x² + x) - (x²-x³+x²-x)
= x² + x³ + x² + x - x²+x³-x²+x
= 2x²-2x²+x³+x³+x+x
= 2x³+2x
= 2(x³+x)
Hence the difference of the polynomials is 2(x³+x).
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A(n)______ is a number sentence that shows how two or more expressions are not equal
Answer:
Inequality is the answer
Answer: Inequality ✅
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem!
The answer to your question is "inequality".
An inequality is a number sentence that shows how two or more expressions are not equal.
An example of that is [tex]\sf 4x+4\geqslant3x-5[/tex].
So 4x+4 is greater than or equal to 3x-5, but they're not 100% equal (such is the case in equations).
--
Hope that this helped! Best wishes.
--
What is the area of this trapezoid?
340 cm²
427.5 cm²
440 cm²
487.5 cm²
Answer:
440cm²
Step-by-step explanation:
*Area= (a+b)/2×h
(19+25)/2*20
= _ * 440cm². *_
Answer:
440cm²
Step-by-step explanation:
I believe its right
Drag the fractions to put them in order from least to greatest. 1/2 1/3 1/6 4/9
Answer:
See below
Step-by-step explanation:
If you can't tell just by looking at them, you will need to convert them all to fractions of a common denominator .....in this case (the smallest) common denominator would be 18
1/2 = 9/18
1/3 = 6/18
1/6 = 3/18
4/9 = 8/ 18 so now you can see least to greatest is
1/6 1/3 1/2 4/9
Answer:
To make it best for you, you can find The Lowest common denominator between the fractions by then you can be able to decide which ones is small to biggest.LCD is 18 therfore respectively we have 9[tex] \frac{9}{18} ... \frac{6}{18} ... \frac{3}{18} ... \frac{8}{12} .... \\ therfore \: \frac{1}{6} ... \frac{1}{3} ... \frac{4}{9} .... \frac{1}{2} ...[/tex]could i get help with this equation?
Answer:
10
Step-by-step explanation:
use PEMDAS
PEMDAS order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
2[32 — (4 − 1)³] =
2[32 — (3)³] =
2[32 — 27] =
2[5] =
10
khanacademy
This month is October. Which month will 2451 months be later?
Answer:
January
Step-by-step explanation:
The month October is the 10th month,
there is 12 months in a year
2451 / 12 = 204.25
0.25 of a year, 1/4 of the year so 12/4 = 3
2451 months is 204 years and 3 months
3 months after October is January
10 + 3 = 13 where December is 12 and the 13th month is January
What is the measure of the unknown angle?
image of a two hundred ninety seven degree angle and an unknown angle
60°
63°
64°
70°
Answer:
63
Step-by-step explanation:
A circle is 360 degrees
So, subtracting 297 from 360, we'd get 63 degrees
Calculate the lenth of AC to 1 decimal place in the trapezium below.
Answer:
18.1cm
Step-by-step explanation:
Please refer to the attached photo for a better understanding. Apologies for the terrible drawing.
First we will find the length of BE by using pythagoras' Theorem.
[tex]c^{2} =a^{2} +b^{2} \\AB^{2} =BE^{2} +EA^{2} \\16^{2} =BE^{2} +7^{2} \\256=BE^{2} +49\\BE^{2} =256-49\\BE=\sqrt{207} cm[/tex]
We will leave BE as it is as it is not the final answer.
Since we know CD = BE,
CD = [tex]\sqrt{207} cm[/tex]
Now from the photo, draw a line from C to A or A to C, you will see another triangle.
Now we will use Pythagora's Theorem again to find AC.
[tex]AC^{2} =AD^{2} +DC^{2} \\AC^{2} =11^{2} +(\sqrt{207}) ^{2} \\AC^{2} = 121+207\\AC^{2} =328\\AC=\sqrt{328} \\=18.1cm (1dp)[/tex]
3. a 12 inch apple pie is sliced into 9 slices. what is the area of one slice of pie?
Answer:
4 pi ( = 12.566 in^2 )
Step-by-step explanation:
TOTAL area = pi r^2 = pi (6)^2 = 36 pi in^2
divide into 9 pieces 36 pi / 9 = 4 pi in ^2
find the linear measure of arc vw on circle p, where pv = 32 inches and angle vpw = 84. use 3.14 for pie and estimate your answer to two decimal places.
The linear measure of arc vw as described in the task content is; 46.89in.
What is the linear measure of the arc vw?It follows from the task content that the radius of the circle with center p is given as pv = 32in. and the angle subtended by the arc is; 84.
On this note, the measure of arc vw is;
= (84/360) × 2 × 3.14 × 32
= 46.89 inches.
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What are the values of x and y? A) x = 4sqrt(3) y 8√3 B ) x = 8; y = 4 ) x = 8sqrt(3); y = 4sqrt(3) D) x = 6sqrt(3); y = 3sqrt(3)
Answer:
C.
Step-by-step explanation:
IF YOU SEE A RIGHT ANGLED TRIANGLE APPLY THE TRIG RATIOS*
please helpp (15 points)
We have:
vertex = (-1, 16)vertical intercept = (0, 14)x-intercepts = (-3,83, 0), (.1,83, 0).How to find the vertex of the parabola?
For a parabola like:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 -4x + 14[/tex]
So the vertex is at:
[tex]x = 4/2*(-2) = -1[/tex]
To get the y-value, we need to evaluate in x = -1.
[tex]y = -2*(-1)^2 - 4*(-1) + 14 = -2 + 4 + 14 = 16[/tex]
So the vertex is (-1, 16)
How to find the y-intercept?To do that we just evaluate in x = 0.
[tex]y = -2*0^2 -4*0 + 14 = 14[/tex]
The vertical intercept is (0, 14).
How to get the x-intercepts?Using Bhaskara's formula we get:
[tex]x = \frac{4 \pm \sqrt{(-4)^2 - 4*(-2)*14} }{2*-2} \\\\x = \frac{4 \pm 11.31 }{-4}[/tex]
So the two roots are:
x = (4 + 11.31)/(-4) = -3.83
x = (4 - 11.31)/(-4) = 1.83
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At a pizza restaurant it costs $4 to make a small pizza that sells for $12, and it costs $6 to make a large pizza that
sells for $15. In one week, the restaurant spent a total of $1100 to make pizzas and sold all of them for $2910. How
many small pizzas were sold?
small pizzas were sold?
solve the system of equations and choose the correct ordered pair
3x+5y=6
4x+2y=-6
Answer: The answer is
x= -3
y= 3
Use your knowledge to set up equations and solve for the variables.
Answer:
x = 45 degrees
Step-by-step explanation:
Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:
3x = x + 90
2x = 90
x = 45
6.
(06.01 LC)
Choose the correct classification of 4x4 − 4x3 + 10x6. (1 point)
4th degree trinomial
12th degree trinomial
3rd degree trinomial
6th degree trinomial
Solve the following quadratic by
completing the square.
y = x2 - 6x +2
Answer:
Roots of the equation are (−3−√7) , (−3+√7)
Step-by-step explanation:
For solving a quadratic equation using completing the square method:
set the value of 'y' = 0add and subtract the square of half of the coefficient of x.solve the obtained equation for 'x'given equation:
y = x^2 - 6x +2
0 = x^2 - 6x + 2
0 = x^2 - 3^2 + 3^2 -6x +2
0 = (x-3)^2 -7
7 = (x-3)^2
±[tex]\sqrt{7}[/tex] = x-3
±[tex]\sqrt{7}[/tex] + 3 = x
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Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
Answer:
The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12
Step-by-step explanation:
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
for example :-
3x + 4y – 7, 4x – 10, etc.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign
let the quantity mentioned in the question be 'x'
therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is
⇒2x - 12 (answer)
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what is the correct answer