Answer:
Option B is answer.
Step-by-step explanation:
Hey there!
Given;
f(X) = X(X+5)(x-8)
According to the factor theorem, f(X) = 0;
Or, X(X+5)(x-8) = 0
Either;
x = 0
Or;
(x+5)= 0
X = -5
Or;
(x-8)= 0
x = 8.
Therefore, the zeros of the polynomial are: 0,-5,8.
Hope it helps!
Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice
Answer:
2/6 chance the dice be rolled to the total of 12
Hans withdrew 40 dollars from his checking account write a signed number to represent this change in his account
Answer:
-40
Step-by-step explanation:
I assume a signed number means a number with a positive or negative sign in front of it. If you withdraw cash from your checking account, your checking account amount decreases, so it would be like subtracting 40 dollars, or -40.
Hope this helps (●'◡'●)
What is the area, in square centimeters, of the isosceles trapezoid below
Answer:
A = 39.48 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4.2, b₁ = 13.5, b₂ = 5.3 , then
A = [tex]\frac{1}{2}[/tex] × 4.2 × (13.5 + 5.3) = 2.1 × 18.8 = 39.48 cm²
1. Slope and the properties of perpendicular and parallel can be used to confirm that a polygon is a specific type of
quadrilateral.
What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.
2. Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use
properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of
quadrilateral you chose. Be sure to clearly state the properties that you need to use.
Please number your responses to the questions as they are shown (1 and 2).
NOTE from Ms. Kliban:
I found this answer on the Internet. *If it were an original answer, below is how I would grade it and why
1. The two would be rectangle and trapezium
2. You can determine with the properties that are given, that it's a polygon because with the slope already known that gives
a in to see which lines are perpendicular to which lines and which aren't. Also, with the properties you can tell if everything
Is parallel lines with the slope formula. Some slopes might be different but doesn't mean the polygon Isn't perpendicular
because two sides can have the same slope and the other two won't
GRADE: First off, in the United States, we don't use the word "trapezlum."
For part 2, it says, you can determine with the properties that are given." What properties? There are no properties given.
There are shapes. The next thing said in part 2 is that the slope is already known. No, it's not. You have to find the slope.
PLEASE HELP!!!!! 70 points !!!!
The grammar is bumpy. In other words, I stumbled over it when I tried to read it.
In order to do well on this assignment, part one only needs to have two quadrilaterals stated. You don't even have to have it
In a sentence.
For part 2. you do need to use complete sentences. You need to explain how to find slope and why you need to find the
slope. Then also explain how parallel and perpendicular lines help you to make sure you have the shape you stated in part
sat
Answer: Rectangle and Trapezium
Step-by-step explanation:
If you have the slopes, then you can tell when two lines are parallel.
A rectangle has two pairs of parallel sides
A trapezium has exactly one pair of parallel sides
We can determine whether a quadrilateral is a rectangle or a trapezium using the slope and the properties of parallel and perpendicular lines.
2. How are the slopes of perpendicular sides related?Product of the slopes of perpendicular lines = -1.
M₁ * M₂ = -1 .
How are the slopes of parallel sides related?Slopes of parallel lines are equal.
M₁ = M₂.
How do we determine a rectangle?Suppose we have a quadrilateral ABCD.
AB and CD are one pair of opposite sides.
BC and DA are another pair of opposite sides.
AB is adjacent to BC. BC is adjacent to CD. CD is adjacent to DA. DA is adjacent to AB.
Slope AB = M₁
Slope BC = M₂
Slope CD = M₃
Slope DA = M₄
For ABCD to be a rectangle, by properties opposite sides need to be parallel and adjacent sides need to be perpendicular.
∴ If M₁ = M₃, M₂ = M₄ (for opposite sides to be parallel)
and if M₁.M₂ = -1, M₂.M₃ = -1, M₃.M₄ = -1, and M₄.M₁ = -1 (for adjacent sides to be perpendicular) then the given quadrilateral ABCD is a rectangle.
Learn more about quadrilaterals, the slope of parallel lines, and the slope of perpendicular lines at
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help with explanation please
Answer:
MBC=FTTHSGUSJHHUYYVSVHEJSJEVEJDJDHB=**?!1235849
Step-by-step explanation:
M is dead so B is going to collect money. thanks for the update and for some of my friends and for some reason and t and I will get you the information you requested and for your and your and I have a lot going to get you a copy of my CV and I have to be there by and pick it up tomorrow if the update I was just going to text you but the information I need to text me if the is no longer a part y to be y to be y to text or to be there by and pick up tomorrow at noon so we will be able or to be y be able or willing and for the first week of my e to text you and I hope to hear back from the guy I was telling you but you are not a good time to text or to be there by to pick up tomorrow if the update and the update I was just wondering if everything goes well and that the information you have a good ii
i need this answered soon!! please help!! 20 points and brainliest!!!
Answer:
graph 1
Step-by-step explanation:
if it's all the times BETTER
then it shouldn't include 15
Answer:
Graph 3.
Step-by-step explanation:
.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 10.7
Step-by-step explanation:
We have:
[tex]\frac{x}{sin 90}[/tex] = [tex]\frac{9.2}{sin59}[/tex]
=> x × sin59 = 9.2 × sin90
=> x × sin59 = 9.2
=> x = 9.2 ÷ sin59
=> x = 10.733027...
=> x = 10.7 (Round to the nearest tenth)
<3 Have a nice day!!
a^2-2(a+b)-b^2. plzz help plzz solve this factorization plzzzzzz
[tex]\displaystyle\bf \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]
Answer:
Step-by-step explanation:
a² -2(a+b) - b² = a² - 2a - 2b -b²
= a² - b² - 2a - 2b
= (a+b)(a-b) - 2 (a+b)
= (a+b)(a - b - 2)
What is the surface area
The sum of the first six terms of an A.P is 72 and second term is seven times the fifth term. find the first term and common difference.
Hello,
if A.P means arithmetic progression then
let's say a the first term and r the common difference.
[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]
If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)
(x-(7+i))
(x-(-7-i))
(x+(7+i))
(x+(7-i))
Answer:
f(x) = [x-(7-2i)][x-(7+2i)]
= [(x-7)+2i][(x-7)-2i]
= (x-7)2 - (2i)2
= x2 - 14x + 49 - 4i2 = x2 - 14x + 49 +4
= x2 - 14x + 53
Answer:
[tex](x-(7-i))[/tex]
Step-by-step explanation:
For a polynomial with roots [tex]a[/tex] and [tex]b[/tex], the polynomial [tex]f(x)[/tex] can be written in factored form [tex](x-a)(x-b)[/tex]. That way, when you plug in any of the roots, [tex]f(x)[/tex] returns zero.
Since the polynomial has at least two roots-9 and 7-i, two of its factors must then be:
[tex](x-(-9)\implies (x+9)\\(x-(7-i))\impli[/tex]
Therefore, the desired answer is [tex]\boxed{(x-(7-i))}[/tex]
I 그
If minor arc AB measures 97 inches, what is the length
of the radius of circle C? If necessary, round your
answer to the nearest inch.
O 6 inches
O 12 inches
O 18 inches
O 24 inches
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the minor arc = 9 inches
We need to find the length of the radius of circle C.
Let the angle is 0.75 radians.
So,
Radius,[tex]r=\dfrac{l}{\theta}[/tex]
Put all the values,
[tex]r=\dfrac{9}{0.75}\\\\r=12\ inches[/tex]
So, the radius is 12 inches.
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's start by using the formula for the combined work of two people:
1/t = 1/3 + 1/2
Here, t represents the number of hours it would take to clear the field together.
To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:
1/t = (2/6) + (3/6)
1/t = 5/6
To isolate t on one side of the equation, we can take the reciprocal of both sides:
t/1 = 6/5
t = 1.2
Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.
To learn more on Equation:
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Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
Step-by-step explanation:
The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)
The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)
Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;
W(-4, 2) rotated 180° about the origin gives W'(4, -2)
X(-3, 4) rotated 180° about the origin gives X'(3, -4)
Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)
Z(0, 2) rotated 180° about the origin gives Z'(0, -2)
Therefore, we get;
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).
Answer:
Its A
Step-by-step explanation:
i just took the test.
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find the
factors of f(x)
Answer:
-26
Step-by-step explanation:
Insert the f(-1) into the equation.It'll be f(-1) = 6(-1) + 13(-1) + 2(-1) - 5After you times all of it. You'll get 7-13-2-5Solve it and you'll get -26ANSWER PLZ ILL GIVE BRAINLEST
Answer:
y is 4
Step-by-step explanation:
x is 3
y is 4 coordinate is (3,4)
Answer:
4
Step-by-step explanation:
determine the value of x.
x=-7
x=7
x= 2.33
x=29
Answer:
where is the figure?
u should upload the figure too
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
Find the area of a rectangle with a length of 10 cm and a width of 7 cm.
70 cm
17 cm2
70 cm2
17 cm
Quadratic equation with root 1 is :-(A) 2x ^ 2 + x - 1 = 0 (B) 2x ^ 2 - x - 1 = 0 (C) 2x ^ 2 + x + 1 = 0 (D) 2x ^ 2 - x + 1 = 0
Answer:
option b is correct
tag me as brilliaiest
Evalute f (3) if(x) = -4x+5
Answer: f(3)=-7
Step-by-step explanation:
To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.
f(3)=-4(3)+5 [multiply]
f(3)=-12+5 [add]
f(3)=-7
Now, we know that f(3)=-7.
Which are correct Representation of the any quality 6x>_3+4(2x-1)?select three options
Answer:
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio
Step-by-step explanation:
The given inequality is presented as follows;
6·x ≥ 3 + 4·(2·x - 1)
By expanding the right hand side of the inequality, we get;
6·x ≥ 3 + 8·x - 4
4 - 3 = 1 ≥ 8·x - 6·x = 2·x
∴ 1 ≥ 2·x
1/2 ≥ x
Therefore, the correct options are;
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram
Describe how you would simplify rootof300. Be thorough and clear in your explanation.
How many possible outcomes do you have when you role 4 dice
Answer:
1296
Step-by-step explanation:
6^4
if a/b = 2 /5, b/c = 3 /8, a/c =??
Answer:
3/20
Step-by-step explanation:
By question it's given that ,
[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]
[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]
And we need to find out the value of a/c .For that Multiply both of them , we have ;
[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]
Hence the required answer is 3/20 .
Find the area of the triangle
What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.
Reflected over the x-axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x-axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 9
Answer:
Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer:
Reflected over the x‒axis and reflected over the y-axis
Step-by-step explanation: pls mark me as brainly
A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that exactly 8 of them are strikes? Insert the correct symbol to represent this probability.
Answer:
The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199
Step-by-step explanation:
The given probability that the pitcher throws a strike, p = 0.507
The number of pitches thrown by the pitcher = 15 pitches
The probability that the pitcher does not throw a strike, q = 1 - P
∴ q = 1 - 0.507 = 0.493
By binomial theorem, we have;
[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]
When X = r = 8, and n = 15, we get;
The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows
P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199
On an English test, John scored 50 points on the essay portion. The test also had short-answer questions worth 2.5 points each. Choose an expression for John’s total points if he answered r short-answer questions correctly.
Answer:
2.5x+50
Step-by-step explanation:
