Answer:
C=1
Step-by-step explanation:
5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.
What is
-8/15of21/12
The diagonals of parallelogram abcd intersect at point e. to prove that bae= dce, all of the following could be used, except for which
a.the sum of measures of the interior angles of abcd is 360 degrees
b. abc = cda by sss
c. abc = cde by sss
d. given two parallel lines by transversal, alternates interior angles are congruent.
The only option that cannot be used to prove that the diagonals of parallelogram abcd intersect at point e is; Option C
How to determine quadrilateral proof?
A) The sum of the interior angles of any quadrilateral is 360° and so this is true about the parallelogram.
B) AB = CD and BC = DA from opposite sides of a parallelogram are equal. Also AC = CA because of reflexive property of congruence. Thus, ∠ABC ≅ ∠CDA
C) This is not true because ∠ABC ≅ ∠CDA instead of ∠ABC ≅ ∠CDE.
D) This is true because of the definition of a transversal.
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Find the HCF of
x^2 y and y^2
The highest common factor is [tex]\boxed{y}[/tex].
The fences will be aligned with the exterior angles 1 and 2. what are some other relationships you can see between 1,2,a, and b? (2 points)
please help
1.8.4
The relationships between angles 1, a, b, and 2 can be defined using the angles between parallel lines.
In the diagram, we can see the fences, making angles 1 and 2 with the parallel lines X and Y respectively.
Using the angles among parallel lines, we can state the relationships between angles 1, a, b, and 2 as follows:
Angle 1 and Angle a are adjacent angles, thus their sum is 180°, that is m∠ 1 + m∠ a = 180°.Angle 2 and Angle b are adjacent angles, thus their sum is 180°, that is m∠ 2 + m∠ b = 180°.Angle 1 and Angle b are corresponding angles, thus they are equal, that is m∠1 = m∠ b.Angle 2 and Angle a are corresponding angles, thus they are equal, that is m∠2 = m∠ aAngle 1 and angle 2 are co-exterior angles, thus their sum is 180°, that is, m∠ 1 + m∠ 2 = 180°.Angle a and angle b are co-interior angles, thus their sum is 180°, that is, m∠ a + m∠ b = 180°.These were the relations among angles 1, a, b, and 2, using the parallel lines X and Y.
Refer to the diagram for a better understanding.
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factorise
answer is (a+c) (ca-b²)
Answer:
Step-by-step explanation:
Directions: Find the inverse of each number.
Additive
-2 =
18 =
-30 =
2/5 =
Multiplicative
8/9 =
12/15 =
-6 =
10 =
Answer:
Additive
-2 = 2
18 = -18
-30 = 30
2/5 = -2/5
Multiplicative
8/9 = 9/8
12/15 = 15/12
-6 = -1/6
10 = 1/10
Step-by-step explanation:
an additive inverse is a number you must add to another number to get 0
(think of it as the negative version of the number)
{but WHY? In math, you can imagine comparing numbers on a number line. If we are finding the opposite of a number, we want to find the same distance from 0, but on the opposite side of 0. So, 2 would be two to the right of 0, -2 would be two to the left of 0}
-2 + 2 = 0
18 - 18 = 0
-30 + 30 = 0
2/5 - 2/5 = 0
a multiplicative inverse is a number that you multiply by another number to get 1.
We are finding the "reciprocal" of a number; you are essentially flipping it as a fraction
(reciprocal of 2 = 1/2 {remember, 2 is the same thing as 2/1 } ; reciprocal of 1 / 8 = 8)
note: reciprocal is being used interchangeably with multiplicative inverse here
8/9 · 9/8 = 1
12/15 · 15/12 = 1
-6 · -1/6 = 1 {-6 = -6/1}
10 · 1/10 = 1 {10 = 10/1}
hope this helps!! have a lovely day :)
Answer:
Additive: number that you add to get 0
2
-18
30
-2/5
Multiplicative: number that you multiply to get 1
9/8
15/12
-1/6
1/10
hope this is helpful!! ^u^
can someone please help and explain these problems ??
Answer:
AAA
Step-by-step explanation:
yesss
this is not a right angled triangle, but how do i find the 3rd side of a triangle if one side is 50 and the other side is 30?
Use the Pythagorean theorem.
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Answer:
Group A, because seven children have a forearm length longer than 10 inches
Step-by-step explanation:
Create the dot plots based on the given information (please see attached images).
Group A = blue dots
Group B = red dots
From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length. This is because 7 children have a forearm length of longer than 10 inches.
To calculate the average forearm length, sum all data values and divide by the total number of data values.
[tex]\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11[/tex]
[tex]\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9[/tex]
Thus proving that Group A has the longer average former length.
According to given text data
Average of both groups
A:-
10(3)+11(4)+12(3)/1030+44+36/1066+44/10110/1011B:-
9(3)+5(10)+11(2)/1027+50+22/1049+50/1099/109.9Group A has bigger average
Which of the following points is NOT visible if the viewing window of a graphing utility is set at:
Xmin : 6
Xmaz: 6
Ymin : —6
Ymaz : 6
The points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible the answers are D, E, and H.
What is graphing utility?A graphing calculator is a portable computer that can plot graphs, solve multiple equations at once, and carry out other variable-related activities.
We have points shown in the coordinate plane.
As the window of a graphing utility is set at:
X(min) : -6
X(max): 6
Y(min) : -6
Y(max) : 6
The points out of 6 will not be visible.
We can draw a square as shown in the attached picture.
The points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible.
Thus, the points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible the answers are D, E, and H.
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What is 10 1/2÷214 ?
Answer:
21/428 or 0.04 906542056074...
Step-by-step explanation:
Mike has 63 toys. 18 of them are new and 12 are his favorites, while 4 are new and favorites. Mike is giving away all the toys that are neither new nor favorites. How many toys does mike GIVE AWAY. ASAP ASAP
What is this Simplify as √16y¹6
Answer:
[tex]6y^1^6[/tex]
Step-by-step explanation:
I hope this has Helped :)
What is the measure of angle AFR?
O 124 degrees
O 91 degrees
O 13 degrees
O 117 degrees
Answer:
13°Step-by-step explanation:
AFR = VFN (opposite angle rule)
7x + 33 = 9x + 7
33 - 7 = 9x - 7x
26 = 2x
x = 26 : 2
x = 13°
-----------------
check
7 * 13 + 33 = 9 * 13 + 7 (remember PEMDAS)
91 + 33 = 117 + 7
124 = 124
the answer is good
answer both questions please
Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.
Step-by-step explanation:
I would recommend using pascal's triangle to solve this problem.
*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.
46. Geometry The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.
Answer:
1/3×22/7×r^2h
Step-by-step explanation:
the volume =1/3 ×22/7×r^2×13.5
Hi, please help me find the volume of this sphere :)
Answer: 8788
Step-by-step explanation:
Use the formula and use 3 for pi
13cm is the radius
[tex]13^{3\\[/tex] = 2197
2197 x 3 = 6591
6591 x 4/3 = 8788
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x+ 9.5?
a. it is the graph of y= x where the slope is increased by 9.5 .
b. it is the graph of y= x translated 9.5 units to the right.
c. it is the graph of y= x translated 9.5 units up.
d. it I'd the graph of y= x translated 9.5 units down.
Answer: C
Step-by-step explanation: The graph is going to go up because the +9.5 isn't in any parentheses. If it was, that would mean it would move horizontally. I hope this helps!
The correct statement:
It is the graph of y = x translated 9.5 units up.
The correct option is c.
The equation y = x represents a straight line passing through the origin with a slope of 1. When we have the equation y = x + 9.5, it means that for every x-value, the corresponding y-value is obtained by adding 9.5 to the original x-value. This translation in the y-direction shifts the entire graph upward by 9.5 units.
To visualize this, imagine the original line y = x. Each point on this line has an x-coordinate and a corresponding y-coordinate, which are the same due to the equation y = x. When we add 9.5 to each y-coordinate, the line shifts vertically by 9.5 units without any change in slope or horizontal position.
The other options can be eliminated because the statement does not mention changing the slope or the horizontal position of the graph. Instead, it specifically describes a vertical translation, indicating a movement in the y-direction. Therefore, the correct answer is c.
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3. Use the following diagram to solve for x.
The value of x from the given diagram is -6
Lines and anglesLine is defined as the distance between two points. Given the line RP with the following measures
RP = 17
RQ = x + 14
QP = x + 15
Using the expression
RP = RQ + QP
Substitute
17 = x + 14 + x + 15
17 = 2x + 29
Determine the value of x
2x = 17 - 29
2x= -12
x = -6
Hence the value of x from the given diagram is -6
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What are the solutions of x^2-3x+3=0
Therefore the solution to this equation is imaginary given by x = [tex]\rm \dfrac { 3 \pm \sqrt{-3}}{2}[/tex]
What is a Quadratic Equation ?A Quadratic equation is an equation that can be written in the form of
ax² +bx+c = 0
The solution of the given quadratic equation
x² -3x +3 = 0
the roots of the equation is given by
[tex]\dfrac { -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
here a = 1 , b = -3 , c = 3
Substituting the values
The solution is
[tex]\rm \dfrac { 3 \pm \sqrt{(-3)^2 -4*1 *3}}{2}[/tex]
Therefore the solution to this equation is imaginary
given by
x = [tex]\rm \dfrac { 3 \pm \sqrt{-3}}{2}[/tex]
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This year, a small business had a total revenue of $40,700. If this is 26% less than their total revenue the previous year, what was their total revenue the previous year?
Domain and range of f(x)=3x^2-9x+8
The range of the function lies between (0,8) to (1.5,1.25).
What are domain and range?Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The given function is:-
f(x) = 3x² -9x + 8
The value of the range will be from (0,8) to ( 1.5,1.25). When we plot the graph of the function the value of the range lies between the points (0,8) to ( 1.5,1.25). The graph is attached with the answer.
The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).
Therefore the range of the function lies between (0,8) to (1.5,1.25).
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Identify the value of a and the length of each secant segment.
x= 10, NL= 8 , NP = 12
What is secant?A secant is a line that intersects a curve at a minimum of two distinct points.
Using secant theorem,
NL* NM = NP* NO
(3+5)*3 = (2+x)*2
24= (2+x)*2
12= 2+x
x= 12-2
x= 10
So, NP= 2+x
NP = 12
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im in summer school and i need to pass this please help me
g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
Which statement compares the graph of the two functions?
First, a vertical shift of N units is written as:
g(x) = f(x) + N
if N > 0 the shift is upwards.If N < 0 the shift is downwards.A horizontal shift of N units is written as:
g(x) = f(x + N).
if N < 0, the shift is to the right.If N > 0, the shift is to the left.In this case, we have:
g(x) = f(x + 8) + 4
So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
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PLEASE HELP ASAP!!!!
The polar equation r=7sin(2θ) graphs as a rose.
What is the length of the petals of this rose?
Enter your answer in the box.
============================================================
Explanation:
r = distance from the origin (0,0) to a point on the polar curve
To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).
Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.
Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.
The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.
Which point has coordinates (5,-7pi/6)?
Point A
Point B
Point C
Point D
The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,
L = 10 log(I/I₀)
where I₀ = 10⁻¹² which is the least intensity that a human can hear.
The sound intensity of a dinner conversation= I= 10⁻⁷
Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)
= 10 log(10⁻⁷⁻⁽⁻¹²⁾)
= 10 log(10⁻⁷⁺¹²)
= 10 log(10⁵)
= 10*5
= 50 Db
Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
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The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)
Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
________________________
This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
Answer: f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
Select the correct answer from each drop-down menu. (Will give brainliest)
(Picture below options are 19.5, 29, 58 for both multiple choice)
The angle BAC will be 29 and the angle BOC will be 58.
What is the circle theorem?The angle in a circle's centre is twice that at its perimeter when two angles are subtended by the same arc. So, angle AOB = 2 angle ACB. Angles that the same arc subtends at its circumference are equal. As a result, angles inside a section are equal.
Here the given angle is ∠BDC = 29 so from the given theorem the angle BEC will be equal to the angle BDC.
∠BDC = 29
The centre angle BOC will be twice the angle at the circumference so the angle will be twice.
∠BOC = 59
Therefore the angle BAC will be 29 and the angle BOC will be 58.
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Select all the correct answers.
Which expressions are equal to
Given the data from the question, the expressions that are equal to 10⁵ are
10³ ⋅ 10²10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10To determine the expressions that are equal to 10⁵, we shall evaluate the options given from the question.
How to evaluate (10⁴)¹Recall
(Aᵐ)ⁿ = Aᵐⁿ
Thus,
(10⁴)¹ = 10⁴
How toevaluate 10³ ⋅ 10²Recall
Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ
Thus,
10³ ⋅ 10² = 10³⁺²
10³ ⋅ 10² = 10⁵
How to evaluate 1 / 10⁵Recall
1 / Aᵐ = A⁻ᵐ
Thus,
1 / 10⁵ = 10⁻⁵
How to evaluate (10³)²Recall
(Aᵐ)ⁿ = Aᵐⁿ
Thus,
(10³)² = 10⁶
How to evaluate 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10Recall
Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ
10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10¹⁺¹⁺¹⁺¹⁺¹
10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵
SUMMARY
(10⁴)¹ = 10⁴
10³ ⋅ 10² = 10⁵
1 / 10⁵ = 10⁻⁵
(10³)² = 10⁶
10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵
From the above illustrations, only 10³ ⋅ 10² and 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 are equal to 10⁵
Complete question
See attached photo
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