Answer:
90
Step-by-step explanation:
Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5,1). Question 8 options: A) 26 square units B) 20 square units C) 40 square units D) 6.5 square units
Answer:
Area ≈ 20 square units
Step-by-step explanation:
Using Distance Formula to Find the lengths
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Length XY:
=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]
=> [tex]\sqrt{25}[/tex]
=> 5 units
Length YZ:
=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]
=> [tex]\sqrt{64}[/tex]
=> 8 units
Length ZX:
=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]
=> [tex]\sqrt{89}[/tex]
=> 9.4
Perimeter:
=> 5+8+9.4
=> 22.4
Semi-Perimeter:
=> 11.2
Using Heron's Formula to find the area:
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is semi perimeter and a,b and c are side lengths
=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]
=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]
=> Area = [tex]\sqrt{399.9}[/tex]
=> Area = 19.99
=> Area ≈ 20 square units
14. Solve 10 + 6(-9 – 4x) = 10(x - 12) + 8.
O A. X = 17
OB. X = 2
O C. X = -18
O D. X = -6
Answer:
B
Step-by-step explanation:
[tex]10+6(-9-4x)=10(x-12)+8[/tex]
[tex]10-54-24x=10x-120+8[/tex]
[tex]-44-24x=10x-112[/tex]
[tex]-44=34x-122[/tex]
[tex]78=34x[/tex]
[tex]x=2[/tex]
The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode
The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.
The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).
In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:
t = -b / 2a
t = -240 / (2 * -16)
t = -240 / -32
t = 7.5
Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.
Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.
For k(x)= (-x- 1)(x^2 + 3x - 1)(x+2), find the derivative of k(x) at the point = -2 using the product rule.
Answer:
The derivative of that product of functions evaluated at the point x=-2 gives "-3"
Step-by-step explanation:
Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:
(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]
So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2
therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2 to obtain the answer:
[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]
Now, applying the product rule for those two trinomial functions, we get:
[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]
which at x = -2 becomes:
[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]
Which of the following rotations will produce a 12-sided polyhedron? ANSWERS: Rotating a 12-gon about a vertical axis running along one side Rotating a 12-gon about a vertical axis passing through the center No rotation will produce a polyhedron. The solids of rotation are non-polyhedral. Rotating a 12-gon about a horizontal axis passing through the center
Answer:
No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.
Step-by-step explanation:
Solids of rotation will always have a curved face, so they’re always non-polyhedral.
Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE
Answer:
the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
pls help me with this algebra question
Step-by-step explanation:
Since the three given points represent a straight line, we can construct a table to go to the point where x=0, the y-value will be the y-intercept.
-36 -117
-27 -98
-18 -79
We note that for every increase of 9 in x, there is an increase of 19 in y.
so continuing:
-9 -60
0 -41 (y-intercept)
Answer: y-intercept is (0,-41)
Question 1(Multiple Choice Worth 4 points)
(07.06A)
What is the rate of change of the linear relationship modeled in the table?
x
- 2
5
-
4
3
1
2
O-2
0-1
01
Answer:
-1
Step-by-step explanation:
In the picture attached, the question is shown.
To compute the rate of change of the linear relationship we need two points, (x1, y1) and (x2, y2), and the next formula:
rate of change = (y2 - y1)/(x2 - x1)
Selecting points (0,3) and (1,2), notice that other selections are also possible, and replacing them into the equation we get:
rate of change = (2 - 3)/(1 - 0) = -1
Which of the following information would prove the quadrilateral ABCD is a rectangle?
Question 2 options:
a) The length of segment AB and CD is 5 units and length of segment BC and DA is 12
b) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2
c) Slope of AB = 2, Slope of BC = -3/2, Slope of CD = 2, and slope of of DA = -3/2
d) Slope of AB = 2, slope of CD = 2, and the length of segment AB and CD is 5.
Answer:
The correct option is B
B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2
Step-by-step explanation:
A rectangle has the following features:
Opposite sides are equalOpposite side are parallel (same slope)all the interior angle are 90° (adjacent sides are perpendicular)
Considering these point, the best options is B because:
AB || CD = opposite sides have same slope 2 (they are parallel)
BC || DA = opposite sides have same slope -1/2 (they are parallel)
For 2 lines to be perpendicular:
Slope of line 1 = -1/ (Slope of line 2)
Let line 1 be AB and line 2 be BC
Slope of AB = -1/(Slope of BC)
2 = -1/(-1/2 )
2=2
Hence proved
As two points are true, third point will also be true
please help! it would be much appreciated
Answer:
Yes
Step-by-step explanation:
[tex]\sqrt{3} = 1.73205080757[/tex]
Simplified it is 2
24=3(n−5) SIMPLIFY PLEASE ASAP
Answer:
n = 13
Step-by-step explanation:
Step 1: Distribute
24 = 3n - 15
Step 2: Add 15 to both sides
39 = 3n
Step 3: Divide both sides by 3
n = 13
Answer:
3N=39Step-by-step explanation:
3*N 3*-5
24+15=3N
N=13Ronnie surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram
Answer: you need to have a line graph
stay safe
Answer:
Step-by-step explanation:
its a
PLEASE HELP!!!!!
Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR
Answer:
option c is the correct ans as there is given similar sign with two triangle.
PLEASE HELP ASAP!!! What is the standard form for the quadratic function? g(x) = (x + 5)^2 −1
g(x)= x^2 − 10x − 26
g(x)= x^2 + 24
g(x)= x^2 − 26
g(x)= x^2+10x + 24
Answer:
g(x)= x^2+10x + 24.
Step-by-step explanation:
g(x) = (x + 5)^2 −1
= x^2 + 5x + 5x + 25 - 1
= x^2 + 10x + 24
g(x)= x^2+10x + 24 is your answer.
Hope this helps!
Answer:
the answer is g(x)=x^2+10x+24.
Step-by-step explanation:
here,
=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)
=x^2+10x+25_1
=x^2+10x+24... is answer
hope its helpful to uh..
Tell me in your own words: How well do you understand RATE?
Answer:
a measure, quanity or frequency typically one measured against another quantity or measure.
Step-by-step explanation:
i have written in my own words so i would love to be the brainliest i never got one before and i have only 20 points so thank you so much for making me the brainliest if you did so i love u.
Answer:
I do indeed understand rates in math.
Step-by-step explanation:
If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.
Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance
Disability insurance is generally provided by the employers to the employee
What is an Insurance Coverage ?Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.
Generally the employers provide Disability insurance to their employees .
An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .
A railway employee is given a Disability insurance cover and many other normal companies also provide Disability insurance.
Hence Option B Disability insurance is the correct answer.
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Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)
Answer:
The ordered pair (e₁, e₂) is (6, 8).
Step-by-step explanation:
Consider the pathway attached below.
Consider that Fred is at 1.It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.
e₁ : 1 3 5 7 ...
P (e₁) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 1 is:
[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]
The sum series e₁ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₁ is:
[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]
Consider that Fred is at 2.It is provided that Fred always moves to 1 if he at step 2.
e₂ : 2 4 6 8 ...
P (e₂) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 2 is:
[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]
The sum series e₂ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₂ is:
[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]
Thus, the ordered pair (e₁, e₂) is (6, 8).
Answer:
(3, 4)
Step-by-step explanation:
For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.
[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]
This equation eventually equals to 3, so e_1 is equal to 3.
For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.
the probability of spinning an odd number on a spinner is 62 percent . What is the probability of not spinning an odd number?
Subtract the percent of getting odd from 100 percent.
100 - 62 = 38%
Every 7th person who enters a store is given a survey to complete. Which type of sampling method is described in this situation?
A. voluntary sample
B. convenience sample
C. simple random sampling
D. systematic random sampling
Answer:
D. Systematic Random Sampling
Pls mark as Brainliest
What is the measure of angle C?
A. 147°
B. 114
c. 33
D. 66
Answer:
B. 114 deg
Step-by-step explanation:
Since sides AC and BC are congruent, then angles A and B are congruent.
m<A + m<B + m<C = 180
33 + 33 + m<C = 180
m<C + 66 = 180
m<C = 114
What is the solution to the system of equations? 2x – y = 7 y = 2x + 3 (2, 3) (2, 7) no solution infinite number of solutions
Answer:
Option C.
Step-by-step explanation:
Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.
If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.
The given equations are
[tex]2x-y=7[/tex]
[tex]y=2x+3[/tex]
These equations can be rewritten as
[tex]2x-y-7=0[/tex]
[tex]2x-y+3=0[/tex]
Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].
[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.
Hence, option C is correct.
Answer:
ANSWER: C
Step-by-step explanation:
ASAP HELP ASAPFive friends compete in a dart-throwing contest. Each one has two darts to throw at the same circular target, and each individual's score is the sum of the scores in the target regions that are hit. The scores for the target regions are the whole numbers 1 through 10. Each throw hits the target in a region with a different value. The scores are: Alice—16 points, Ben—4 points, Cindy—7 points, Dave—11 points, and Ellen 17—points. Who hit the region worth 6 points?
Answer:
The region worth 6 points was hit by Alice
Step-by-step explanation:
The information given are that the throws throws of the five friends (two each) each have different values
The scores are;
Alice = 16
Ben = 4
Cindy = 7
Dave = 11
Ellen = 17
For Ben, we have the two throws as 1, and 3
For Ellen, 9 and 8
Cindy, 5 and 2
Dave 7 and 4
Alice 10 and 6
Therefore, Alice hit the region worth 6 points.
Solve the equation :
[tex] \cos(x) - \sin(x) = \sqrt{2 } \: cos(3x)[/tex]
Answer:
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Step-by-step explanation:
Step(i):-
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]
Step(ii):-
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]
[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
Step(iii):-
General solution of cos x = cos ∝ is x = 2 nπ+∝
we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
The general solution of [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is
⇒ [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]
⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]
[tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]
final answer:-
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.
Answer:
The first three terms are -30, -27 and -24
Step-by-step explanation:
The formula for nth term of a arithmetic series is given by:
aₙ = a₁ + (n - 1)d
Substitute n = 16 in the given equation:
a₁₆ = a₁ + (16 - 1)d
Where aₙ = a₁₆ = 15. Substitute in the given equation
15 = a₁ + 15d ⇒ Equation (i)
Sum of arithmetic sequence is given by:
Sₙ = n(a₁ + aₙ) / 2
Substitute n = 16 in the above equation:
S₁₆ = 16(a₁ + a₁₆) / 2
Where S₁₆= -120 and a₁₆=15, substitute:
-120 = 16(a₁ + 15)/2
-240 = 16(a₁ +15)
-15 = a₁ + 15
a₁ = -30
Substitute it in Equation (i)
15 = a₁ + 15d
15 = -30 + 15d
15d = 15+30
d = 45/15
d = 3
So
a₁ = -30
a₂ = a₁ + (2-1)d
a₂ = -30 + 3
a₂ = -27
a₃ = a₁ + (3-1)d
a₃ = a₁ + 2d
a₃ = -30 + 2(3)
a₃ = -30 +6
a₃ = -24
The operation *is defined by x*y=2x-y,where x and y are real numbers.Find the value of (i) y,if y *(3*y)=6
Answer:
The value of y = 4
Step-by-step explanation:
Explanation:-
Given the operation *is defined by
x*y=2 x-y,where x and y are real numbers
Given y * ( 3 * y ) = 6
⇒ y * ( 2 (3) -y) = 6 (∵ x*y=2 x-y)
⇒ y * ( 6 - y) = 6
⇒ 2 (y) - (6 - y ) = 6
⇒ 2 y - 6 + y = 6
⇒ 3 y = 6 + 6
⇒ 3 y = 12
⇒ y = 4
Verification:-
Put y =4 in given operation
L.H.S
y * ( 3 * y ) = 4 * ( 3 * 4)
= 4 * (2(3)-4) (∵ x*y=2 x-y )
= 4 * ( 6-4)
= 4 * 2
= 2(4) -2 (∵ x*y=2 x-y )
= 6
=R.H.S
y *(3*y) = 6
∴ y = 4 is satisfied
if a square is dilated by a factor of 2 what is the measure of each individual angle
Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
The measure of each individual angle will be of 90°
What is a quadrilateral ?A quadrilateral is a 2D figure which has 4 sides.
According to the given question a square is dilated by a factor of 2.
Suppose the side of the original square was x cm.
∴ We know the area of he square will be side² which is
= (x)²
= x².
Now the square is dilated by a factor of 2.
∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².
But the measure of each individual angle will be same and they are all of 90°.
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Please answer please correct question
Answer:
EFB is the angle that is adgacent
Answer:
angle AFB
Step-by-step explanation:
Adjacent means next to, so let’s imagine this as sharing a fence with your next door neighbor.
What side does EFA share with?
It shares it with AFB.
That‘s it!
Hope this helped!
Find the number in the form x3579x that is divisible by 42.
Answer:
335790
Step-by-step explanation:
42=2×3×7
unit digit should be even.
sum of digits should be divisible by 3
3+5+7+9=24÷3=8
sum of other two digits should be multiple of 3
let us consider 335790
3+0=3=3×1
also 0 is even.
335790÷42=7995
Add the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4 ). PLS help right now.
Answer:
i belive it is 13.25
Step-by-step explanation:
A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
The sum of 1.25 and (−1 3/4) can be done as,
1.25 + (−1 3/4)
= 1.25 - 1.75
= -0.5
The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,
-0.5 + (-2 1/2)
= -0.5 - 2.5
= -3
Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.
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Note: This is the same question as #3, but the third row of the proof is different!
Statements
Reasons
0
DE || AB
Given
E
B
CDE
Given: DE || AB
Prove: AABC-
ZCE
AABCN
Answer:
ΔABC is similar to ΔCDE
Step-by-step explanation:
Statement Reason
DE ║AB Given
∠CDE ≅ ∠CAB Corresponding Angles Theorem
∠C ≅ ∠C Reflexive property of congruence
ΔABC is similar to ΔCDE AA postulate
The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).
Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).
Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)