Answer:
(p -3q )(p -3q )
Step-by-step explanation:
p'2 - 6pq + 9q'2
(p -3q )(p -3q )
find two values that add to give 6 and multiply to 9
p x p =p'2
-3q x p = -3pq -3 x pq = -3pq ...... -3pq - 3pq = -6pq
-3q x - 3q = 9q'2
the sum of the exterior angles of a pentagon equals what
Answer:
360 degrees
Step-by-step explanation:
The sum of the INTERior angles of a pentagon equal
(n-2)(180) = 540
each angle is then 540/5 = 108
each is a supplementary angle to the exterior angle
so EACH exterior angle is 180 - 108 = 72
there are 5 of these 5 * 72 = 360 degrees
Solve the following quadratic function
by utilizing the square root method.
y = 100-x²
X =
= ±[?].
Please help me and please explain step by step 50 points if you do thank you
Answer:
x = ± 10
Step-by-step explanation:
to solve the equation let y = 0 , that is
100 - x² = 0 ( add x² to both sides )
100 = x² ( take square root of both sides )
± [tex]\sqrt{100}[/tex] = x , that is
x = ± 10
Simplify using BODMAS rule :
60÷6[{32÷4(7×2-15+5)}+3]
Step-by-step explanation:
the right answer is 1.714
The coach recorded the scores of nine different basketball players in their last game. ● The median number of points scored by these nine players was 13. ● The mean number of points scored by these nine players was 12. Part A: List 9 values that could represent this data set. Part B: A 10th basketball player on this team scored 12 points in the last game. If her score is added to this data set, how will the median and mean change? Explain your reasoning.
The values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19.
How to calculate the mean?It should be noted that a mean simply means the average of a set of numbers.
In this case, the values that could represent this data set include 5, 6, 9, 10, 12, 10, 4, 6, and 19. Therefore, the mean will be:
= (5 + 6 + 9 + 10 + 12 + 4 + 6 + 19)/9
= 81/9
= 9
When a 10th basketball player on this team scored 12 points in the last game, the new mean will be:
= (81 + 12)/10
= 93/10
= 9.3
Therefore, there's an increase in mean.
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ch statement is true about the graphs of the two lines y=-6 and x =
dx= -1/?
The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope that is
ndefined, and the graph of x = is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y=-6 is a vertical line with a slope that is
ndefined, and the graph of x = is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = -6 is a vertical line with a slope of 0, and th
aph of x = is a horizontal line with a slope that is undefined.
he lines are perpendicular to each other because the graph of y=-6 is a horizontal line with a slope of 0, and
e graph of x = is a vertical line with a slope that is undefined.
Answer:
IT'S A !
Step-by-step explanation:
Took the quiz on edge 2022 .
the correct statement is:
"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Find correct statement is true about the graphs of the two lines y=-6 and x = dx
Since, horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope.
Therefore, the correct statement is:
"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."
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The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2). determine the lengths of the outside edges of the garden. write your answer in
simplest form.
The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
What is the scale factor?In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.
Given that:-
The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)The length and width of the outside edge will be:-
The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-
Length = 3 ( 2x+4 ) = 6x + 12
Width = 3 ( 3x+2 ) = 9x + 6
Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
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Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).
What is the slope of Anya’s line?
The slope of Anya’s line on the graph is 3
How to determine the slope of the line?The equation is given as:
(y−2)=3(x−1)
Remove brackets
y − 2 = 3x − 3
Add 2 to both sides
y = 3x − 1
A linear equation is represented as:
y = mx + c
Where m represents the slope;
By comparison, m = 3
Hence, the slope of Anya’s line is 3
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Answer:
3
Step-by-step explanation:
its right
What are some examples of a linear system
Answer:
Describe the middle class of Central America. Mention jobs, homes, and education.ury
Step-by-step explanation:
make r the subject of the formula in V= ⅓π r²h
Answer:
switch the position
1/3πr²h=v
multiply all through by 3
3•1/3πr²h=3•v
3 will cancel out 3
πr²h=3v
divide both sides by πh
r²=3v/πh
root both sides
r=±√3v/πh
James defines a circle as the set of all the points equidistant from a given point. His statement is not precise enough because he should specify that.
A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:
Center
Radius
Diameter
Points in a plane
The complete question is as follows:-
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
A circle includes its diameter
The set of points is in a plane
A circle includes its radius
The set of points is collinear
What is a circle?A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.
Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).
As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:
the set of points on a line
the set of points in a plane
the set of points in a region
Etc
Of these numerous possible interpretations, James should have specified that the set of points is in a plane
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2x – y = 3
ayuda por favor
A physical therapist claims that 75% of people lose their balance if they close their eyes while standing on one foot. A gymnast feels that the rate is less than 75%. To test this, she randomly selects 100 people and finds that 80 of them lose their balance while standing on one foot. To determine if these data provide convincing evidence that the proportion of people who lose their balance while standing on one foot and closing their eyes is less than 75%, 150 trials of a simulation are conducted. The gymnast is testing the hypotheses: H0: p = 75% and Ha: p < 75%, where p = the true proportion of people who will lose their balance while standing on one foot and closing their eyes. Based on the results of the simulation, what is the estimate of the P-value of the test? A dotplot. A number line labeled simulated sample percentage of people who lose balance goes from 64 to 88 percent. 64, 3; 66, 3; 67, 4; 68, 8; 69, 5; 70, 7; 71, 8; 72, 11; 73, 15; 74, 12; 75, 11; 76, 8; 77, 18; 78, 10; 79, 10; 80, 5; 81, 4; 82, 2; 83, 2; 84, 1; 85, 2; 87, 1. 0.1133 0.17 0.887 0.92
Answer:
75
Step-by-step explanation:
becAUSE IF YOU TEST IT THATS UR ANSWER
In ΔDEF, sin D=24/25. What is cos E? [Worth 20 points]
A. 24/25
B. 7/25
C. 25/7
D. 7/24
The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
TrigonometryFrom the question, we are to determine the value of cos E
From the given information, we have
[tex]sin \ D=\frac{24}{25}[/tex]
By SOH CAH TOA
Opposite = 24
Hypotenuse = 25
Thus, considering the diagram
/EF/ = 24
and
/DE/ = 25
By SOH CAH TOA
[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]
∴ [tex]cos \ E =\frac{24}{25}[/tex]
Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]
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Which of the following is the equation of the function below? y=2sec (x+pi/6)+2 y=sec2(x+pi/6)]+2 y=sec[2(x+2)] + pi/6 y=2sec(x+2) + pi/6
The equation of the function is y = sec(2(x + π/6)) + 2
How to determine the equation of the function?From the graph, we have the following parameters:
Local maximum = 3Local minimum = 1Period = 2Phase shift = π/6A secant function is represented as:
y = A sec(b(x + c)) + d
Where:
A = 0.5 * (max - min) = 0.5 * (3 - 1) = 1
b = Period = 2
c = Phase shift = π/6
d = 0.5 * (max + min) = 0.5 * (3 + 1) = 2
So, we have:
y = 1 * sec(2(x + π/6)) + 2
Evaluate
y = sec(2(x + π/6)) + 2
Hence, the equation of the function is y = sec(2(x + π/6)) + 2
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Answer
The answer is B on Edgenuit
Step-by-step explanation:
Desmos
Find the first 3 iterates of the function f(x) = 0.80x when x^0= 150
Based on the calculations, the first three (3) iterations of the given function are 120, 96 and 76.8.
How to find the first three iterations?In this exercise, you're required to find the first three (3) iterations of the given function. Thus, we would substitute the value of x₀ into the function and then evaluate as follows:
First iteration:
f(x) = 0.80x
f(x₀) = 0.80x₀
f(150) = 0.80 × 150
f(150) = 120.
Second iteration:
f(x) = 0.80x
f(x₁) = 0.80x₁
f(120) = 0.80 × 120
f(120) = 96.
Third iteration:
f(x) = 0.80x
f(x₂) = 0.80x₂
f(96) = 0.80 × 96
f(120) = 76.8.
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Factor: 5x2 – 15x – 20.
(a) 5(x-4)(x+1),
(b) -2(x-4)(x+5),
(c) -5(x+4)(x-1),
(d) 5(x+4)(x+1).
Answer:
[tex]a)~5(x-4)(x+1)[/tex]
Step-by-step explanation:
[tex]~~~5x^2 -15x -20\\\\=5(x^2 -3x -4)\\\\=5(x^2 -4x +x -4)\\\\=5\textbf{[}x(x-4) +(x-4)\textbf{]}\\\\=5(x-4)(x+1)[/tex]
Select the correct answer.
Which function is a linear function?
OA 1-3xy
OB. y+7=5x
OC. ³+4=y
OD. 9(x²-y)=3
OE y-x³=8
Answer:
linear equation is the equation having degree 1 like ax+by=c so option B is correct ..
y+7=5x will be treated as the linear function. Thus, option B is correct.
What is a linear function?Any formula with one or two variables and no exponents is said to be linear. On the coordinate plane, this property depicts a straight line. In order to maintain the same function's linear illness, extra variables in a function must be constant.
y+7=5x
This equation can be written in a proper form:
y=5x-7
As this equation does not have any power therefore this will be treated as a linear function.
Therefore, option B is correct.
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What is the value of x in the figure?
X
40⁰
OA. 40°
OB. 70°
OC. 80°
OD. 120°
OE. 150°
70⁰
Answer:
E 150
Step-by-step explanation:
The coordinates of the mid - point of the line AB is (-1, -5).
What is mid - point?A midpoint is a point that divides a given line into two equal parts.
Given is that AB has endpoints at A(4, -8) and B(-6, -2). It is asked to find the coordinates of the midpoint of AB.
We can write the coordinates of the midpoint of AB as -
{x} = (x₁ + x₂)/2
{x} = (4 - 6)/2
{x} = - 2/2
{x} = -1
{y} = (y₁ + y₂)/2
{y} = (-8 - 2)/2
{y} = - 10/2
{y} = - 5
Therefore, the coordinates of the mid - point of the line AB is (-1, -5).
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Make c the subject:
A=b+cd
Answer:
C = A/d - b/d or C = (A - b)/d
Step-by-step explanation:
A = b + cd
A - b = cd
A/d - b/d = c
HURRY please answer this
Which expression is represented by the model?
Fred's teacher gave the class the
quadratic function f(x) = 4x² + 16x+9
State two different methods Fred could use to solve the equation f(x) = 0.
Using one of the methods stated in part a, solve f(x) = 0 for x, to the nearest
tenth.
Two methods Fred could use to solve the equation are
The completing the square method The formula methodThe solution for the function is x ≅ -0.7 OR x ≅ - 3.3
Solving quadratic equationsFrom the question, we are to solve the given quadratic equation
Two methods Fred could use to solve the equation are
The completing the square method The formula methodThe given quadratic function is
f(x) = 4x² + 16x+9
Now, we are to solve f(x) = 0 for x
That is,
4x² + 16x+9 = 0
Using the formula method to solve the equation
[tex]x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]
In the equation,
a = 4, b = 16, and c = 9
∴ [tex]x =\frac{-16 \pm \sqrt{16^{2}-4(4)(9) } }{2(4)}[/tex]
[tex]x =\frac{-16 \pm \sqrt{256-144 } }{8}[/tex]
[tex]x =\frac{-16 \pm \sqrt{112 } }{8}[/tex]
[tex]x =\frac{-16 \pm 10.58 }{8}[/tex]
[tex]x =\frac{-16+ 10.58 }{8}[/tex] OR [tex]x =\frac{-16- 10.58 }{8}[/tex]
[tex]x =\frac{-5.42 }{8}[/tex] OR [tex]x =\frac{-26.58 }{8}[/tex]
x = -0.6771 OR x = - 3.3229
x ≅ -0.7 OR x ≅ - 3.3
Hence, the solution for the function is x ≅ -0.7 OR x ≅ - 3.3
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Which of the following is true about a function that is constant?
It is a horizontal line.
It moves in an upward direction.
It moves in a downward direction.
It is a curve.
A function assigns the values. The correct option that describes a constant function is that It is a horizontal line.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The correct option that describes a constant function is that It is a horizontal line.
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Answer: the answer is A the others are linear or higher
It moves in a horizontal line. Its 'y value' does not change.
Step-by-step explanation:
What should your units on your base area calculations be, and why? How is this different from the units on your volume calculations? Explain in two to three sentences.
The units on a base area calculations is known to be cm² or m² while units on your volume calculations is known to be m³ or cm³.
Why use the unit about?The unit above is used because in base area calculation, only 2 sides are calculated while in volume calculation, 3 sides are involved.
Note that in base area, square unit is often used in its calculations via the use of two dimensions length and breadth (cm² or m² ).
In terms of volume, cubic unit is used in its calculations through the use of three dimensions length, breadth and height ( m³ or cm³.).
Note also that Area is seen as the space taken by a two dimensional flat object while volume is seen as the space taken by the three-dimensional object and as such The units on a base area calculations is known to be cm² or m² while units on your volume calculations is known to be m³ or cm³.
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I forgot how do do these anyone remember please
Answer:
x ≤ 1/2
Step-by-step explanation:
Domain: input values (x-values)
We cannot take a square root of a negative number, therefore
3 - 6x ≥ 0
Solving the inequality:
⇒ 3 - 6x ≥ 0
⇒ 3 ≥ 6x
⇒ 1/2 ≥ x
⇒ x ≤ 1/2
Therefore, the domain is x ≤ 1/2
will give 25 points for a short answer
No, to be parallel the two given angles would need to be the same(corresponding angles)
The two lines are not parallel.
As the 1920s progressed, it became for farmers to make a living.
answer: more difitcul
Answer:
While most Americans enjoyed relative prosperity for most of the 1920s, the Great Depression for the American farmer really began after World War I. Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery.<3
Step-by-step explanation:
Answer:
more difficult
Step-by-step explanation:
Find the measure of the three missing angles in the rhombus below.
Explain it.
The measure of the three missing angles in the given rhombus are:
x = 122°
z = 58°
y = 122°
What is a Rhombus?A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.
x and 58° are adjacent angles and are therefore supplementary.
x = 180 - 58 = 122°
z = 58° (opposite angles)
y = x = 122° (opposite angles)
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Translate the shape A four squares right and two squares down.
please don't delete this question iltae668.
What are the coordinates of the vertices of the image?
An isosceles right triangle has an area of 8cm^2. What is the length of its hypotenuse?
Answer:
Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.
If triangle ABC has vertices A(1, 2), B(-1, -1), and C(0, -2), which of the following coordinates is B’ of the dilation using the scale factor 4?
Answer: B'(-4, -4)
Given : A(1, 2), B(-1, -1), C(0, -2)
"Focusing on B coordinates"
If the points are dilated with a scale factor of 4
Then new coordinates : (-1, -1) × 4 = B'(-4, -4)
Answer:
B' = (-4, -4)
Step-by-step explanation:
Dilation: A type of transformation that makes the pre-image larger or smaller without changing its shape.
Center of a dilation: a fixed point about which all points are dilated.
Given:
A = (1, 2)B = (-1, -1)C = (0, -2)Scale factor = 4For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)