Answer:
Since they both have the same slope, they are Parallel.
Step-by-step explanation:
We will have to calculate slope for this equation using this formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
For line 1 our points are:
(-3,-1) and (2,4)
Substitute:
[tex]\frac{4+1}{2+3}[/tex]
[tex]\frac{5}{5}[/tex]
The slope for the first line is 1.
For line 2 our points are:
(2,-6) and (7,-1)
Substitute:
[tex]\frac{-1+6}{7-2}[/tex]
[tex]\frac{5}{5}[/tex]
The slope for this equation is 1.
For these lines to be parallel, they would need their slopes to be the same.
For these lines to be perpendicular, they would need to be opposite reciprocals.
Since they both have the same slope, they are Parallel.
Answer:
Parallel
Step-by-step explanation:
(-3, -1) and (2,4) -
First find the slope of the line using the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex] : [tex]\frac{4-(-1)}{2-(-3)}[/tex]
Add the numbers : [tex]\frac{5}{5}[/tex]
Simplify: 1
Using one of the given ordered pairs find the y-intercept: 4 = 1(2) + b
Caluclate the product : 4 = 2 + b
Move the variable to the left-hand side and change its sign: -b = 2 - 4
Calulate the diffrence and change the signs: b = 2
Using the slope and y- intersept creat your equation : y = 1x + 2
(2, -6) and (7, -1)-
First find the slope of the line using the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex] : [tex]\frac{-1-(-6)}{7-2}[/tex]
Add the numbers : [tex]\frac{5}{5}[/tex]
Simplify: 1
Using one of the given ordered pairs find the y-intercept: -6 = 1(2) + b
Caluclate the product : -6 = 2 + b
Move the variable to the left-hand side and change its sign: -b -6 = 2
Calulate the sum and change the signs: b = -8
Using the slope and y- intersept creat your equation : y = 1x + -8
Parallel lines have the same slope and different y-intercepts
Please help me with this,............
Answer:
[tex]a_{n}[/tex] = 5n - 22
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = - 12 , then
a₁ + d = - 12 , that is
a₁ + 5 = - 12 ( subtract 5 from both sides )
a₁ = - 17
Thus
[tex]a_{n}[/tex] = - 17 + 5(n - 1)
= - 17 + 5n - 5
= 5n - 22
5/6 x 18 =
?please help me
Answer:
15
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
I used a calculator lol
what is the value of y when x = 43
A. 87
B. 85
C. 49
D. 45
Answer:
A x
=
3
,
−
1x
=
3
,
−
1
Step-by-step explanation:
x
=
3
,
−
1
Expense
Percent of Budget
40%
11.7%
Item
Rent
Food
Transportation
Utilities
Insurance
Taxes
Monthly Total
Annual Expenses
$350
$150
$400
13.3%
1
2
How much will Paul pay in Rent? $1200
How much will Paul pay
What percent will Paul pay for Food?
type your answer....
What percent of Paul's
−5y−25= -40 solve for y
Answer: y= -3
Step-by-step explanation:
First you would at 25 to -40 to get -15.
Next you would divide -5 by -15 to get -3 as your y.
Hope this helps!
Answer:
y = -3
Step-by-step explanation:
Add 25 to -40. Becomes -5y = -15. Divide -15 by -5. You get -3. y = -3
Which of the following is the graph of y = StartFraction 1 Over x + 2 EndFraction + 1?
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.
Answer: C
Step-by-step explanation:
Use the graph ln the left side.
The description of the graph of the function [tex]y = \frac{1}{x + 2} + 1[/tex] is the description (c)
How to determine the graph of the equation?The equation is given as:
y = StartFraction 1 Over x + 2 EndFraction + 1?
Rewrite properly as:
[tex]y = \frac{1}{x + 2} + 1[/tex]
The above equation is the translated equation from an inverse function
The graph of the function pass through the points (0,1.5) and (-3,0)
Hence, the graph of f(x) = √x is (c) On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = -2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left, and it crosses the x-axis at (-3, 0).
Read more about functions at:
https://brainly.com/question/4025726
#SPJ2
During flag rugby, attacking players (offensive players) are NOT allowed to do the following: (Select all that apply)
Group of answer choices
Kick the ball
Flag guard
Run with the ball
Hand the ball to another player
Answer:
Flag guard, kick the ball, and hand the ball to another player
Step-by-step explanation:
Just did the P.E. quiz our teacher assigned us. I've seen you in our classes, dude.
What is the value of -16 divided by 2.5
I need a girl and yes I understand I’m on the wrong website please don’t report smh
Answer:
lol, what for?
Step-by-step explanation:
Answer:
So the answer would be B.
Step-by-step explanation:
This is not the right site like you said also no one knows your age or what you look like so good luck buddy.
(Ill give brainliest, Pls help me! Also, Pls write at least 3 sentences to explain why. Ty :) )
67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
Answer: it would be less
Step-by-step explanation: it is less because it is split into more pieces and it is not as big as 67,124
Divide the binomial by the monomial to find the quotient.
Answer:
9x²-36[tex]y^{5}[/tex]
Step-by-step explanation:
PLEASE HELP ME ASAP
Answer:
The answer is Option D
Step-by-step explanation:
Supplementary angles are angles that sum up to 180 °
The boundary of a lamina consists of the semicircles y = 1 − x2 and y = 64 − x2 together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is proportional to its distance from the origin.
Answer:
The center mass of the lamina = [tex]{\begin {pmatrix} 0, \dfrac{1755}{146 \pi } \end {pmatrix}[/tex]
Step-by-step explanation:
Let take a look at the boundary of the lamina that comprises of the semicircles [tex]y = \sqrt{1-x^2}[/tex] and [tex]y = \sqrt{64-x^2}[/tex]
We are also informed that the density at any point is proportional to its distance from the origin.
Thus, the main task required is to find the center mass of the lamina.
In as much as the density is proportional to the distance from the origin;
Then;
[tex]\rho (x,y) = k \sqrt{x^2 + y^2} = kr[/tex]
Thus; the mass of the lamina is determined as:
[tex]m = \iint \limits _ D \rho (x,y) \ dA= \int ^{\pi}_{0}\int ^{8}_{1} kr.r dr d \theta[/tex]
[tex]m = \int ^{\pi}_{0}\int ^{8}_{1} kr^2 dr d \theta[/tex]
[tex]m = k \int ^{\pi}_{0} \begin {bmatrix} \int \limits ^8_1 r^2 dr \end {bmatrix} d \theta[/tex]
[tex]m = k \int ^{\pi}_{0} \begin {bmatrix} \int \limits\dfrac{r^3}{3} \end {bmatrix} ^8_1d \theta[/tex]
[tex]m = k \int ^{\pi}_{0} \begin {bmatrix} \dfrac{512}{3}- \dfrac{1}{3} \end {bmatrix} d \theta[/tex]
[tex]m = \dfrac{511 \ k}{3} \int \limits ^{\pi}_{0} \ d \theta[/tex]
[tex]m = \dfrac{511 \ k}{3} \bigg (\theta \bigg ) ^{\pi}_{0}[/tex]
[tex]m = \dfrac{511 \ k \pi}{3}[/tex]
Now, about the y-axis, the moment of the entire lamina can be computed as:
[tex]M_y = \iint \limits _D x\rho (x,y) \ dA = \int \limits^{\pi}_{0} \int \limits ^{8}_{1} r cos \theta kr .r \ dr \ d \theta[/tex]
[tex]M_y = k \int \limits ^{\pi}_{0} \int ^{8}_{1} \ cos \theta . r^3 \ dr \ d \theta[/tex]
[tex]M_y = k \begin {bmatrix} \int \limits ^{\pi}_{0} cos \theta d \theta \end {bmatrix} \begin {bmatrix} \int \limits ^8_1 r^3 dr \end {bmatrix}[/tex]
[tex]M_y = k (sin \ \theta )^{\pi}_{0} \begin {bmatrix} \dfrac{r^4}{4} \end {bmatrix}^8_1[/tex]
[tex]M_y = k(sin \pi - sin 0 ) \bigg ( \dfrac{8^4}{4}- \dfrac{1^4}{4} \bigg)[/tex]
[tex]M_y = 0[/tex]
Similarly; about the x-axis, the moment of the entire lamina can be computed as:
[tex]M_x = \iint \limits _D y \rho (x,y) \ dA = \int \limits^{\pi}_{0} \int \limits ^{8}_{1} r sin \theta kr .r \ dr \ d \theta[/tex]
[tex]M_x = k \int \limits ^{\pi}_{0} \int ^{8}_{1} \ sin \theta . r^3 \ dr \ d \theta[/tex]
[tex]M_x = k \begin {bmatrix} \int \limits ^{\pi}_{0} sin \theta d \theta \end {bmatrix} \begin {bmatrix} \int \limits ^8_1 r^3 dr \end {bmatrix}[/tex]
[tex]M_x= k (- cos \ \theta )^{\pi}_{0} \begin {bmatrix} \dfrac{r^4}{4} \end {bmatrix}^8_1[/tex]
[tex]M_x = k(-cos \pi +cos 0 ) \bigg ( \dfrac{8^4}{4}- \dfrac{1^4}{4} \bigg)[/tex]
[tex]M_x = \dfrac{4095}{2}k[/tex]
Hence, The center mass of the lamina is:
[tex]( \overline x, \overline y) = \bigg ( \dfrac{M_y}{m}, \dfrac{M_x}{m} \bigg )[/tex]
[tex]( \overline x, \overline y) = \begin {pmatrix} \dfrac{0}{\dfrac{511 \ k \pi}{3}}, \dfrac{\dfrac{4095 \ k}{2}}{\dfrac{511 \ k \pi}{3}} \end {pmatrix}[/tex]
[tex]( \overline x, \overline y) = \begin {pmatrix} 0, \dfrac{1755}{146 \pi } \end {pmatrix}[/tex]
3/2:1/4 as a unit rate
Answer:
25
Step-by-step explanation:
Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?
Answer:
x = 13.5 weeks
Step-by-step explanation:
Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.
189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.
help on picture 15 points
Answer:
2/3
Step-by-step explanation:
Ramen noodles. There are 20 ramen noodle packages in a bag. There are 10 beef flavored, and the other 10 are chicken flavored. What is the probability of getting at least one chicken and at least one beef flavor when you grab 3 packages randomly?
Answer:
0.789
Step-by-step explanation:
Number of beef flavored Ramen noodles = 10
Number of chicken flavored Ramen noodles = 10
Total number of noodles = 20
Number of ways to select 3 packages:
[tex]_{20}C_3= \dfrac{20\times 19\times 18}{3\times 2\times 1}=1140[/tex]
Number of ways to select two beef flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45
Number of ways to select one chicken flavored Ramen noodle = 10
Number of ways to select two chicken flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45
Number of ways to select one chicken flavored Ramen noodle = 10
Total number of ways so that one chicken and one beef Ramen selected = 450 + 450 = 900
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Required probability is:
[tex]\dfrac{900}{1140} = 0.789[/tex]
Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.
HELP!!!!!!!!!!!!!!!!!
Answer:
Answer is C. not 95.
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
<AIN is equal to <FIL because they are vertically opposite.
Graph the data below and then answer the questions that follow. year 1=$20,000, year 2=$21,750, year 3=$23,500, year 4=$25,250, year 5=$27,000. is this an arithmetic sequence? How do you know?
Answer:
Since the difference between the value for each year is constant, this is an arithmetic sequence.
Step-by-step explanation:
Year 2 - Year 1 = 21,750 - 20,000 = 1,750
Year 3 - Year 2 = 23,500 - 21,750 = 1,750
Year 4 - Year 3 = Year 5 - Year 4 = 1,750
PLEASE HELP :( which side is adjacent to
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
Marc earns $45,000 per year. If he does not work for 2 months in a year, how much money would he earn?
Answer:
$37500
Step-by-step explanation:
45000 divided by 12 = 3750
3750 is how much he earns each month.
3750x2=7500
7500 is how much he earns in 2 months
45000-7500=37500
Answer:
37,500
Step-by-step explanation:
if he makes 45,000 a year, we need to find out how much he makes per month.
divide 45,00 by 12= 3750 per month
3750 times 2 months= 7500
45,000-7,500= 37,500
ahhh sorry i didnt realize someone else already answered while i was typing this
2. Use the Pythagorean theorem to find the missing side of the following right triangles.
Round to the nearest tenth if needed.
2
B
a = 9
C
b = 12
Answer:
Pythagorean theorem which is a²+b²=c2
9²+12²=c²
225=c2
c=√225
c=15
the length of a rectangular sign is 4 times it's width. if the sign's perimeter is 30 inches, what is the area?
Answer:
36
Step-by-step explanation:
Width = x
Length = 4x
Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)
30 (because 30 is given as the perimeter) = x + x + 4x + 4x
30 = 10x
x = 3
Width = 3
Length = 4(3) = 12
Area = Width * Length
Area = 3 * 12 = 36
The area of the rectangular sign is equal to 36 square inches, if its perimeter is 30 inches.
Let the length of the rectangular sign be L.Let the width of the rectangular sign be W.Given the following data:
Perimeter of rectangular sign = 30 inches.Translating the word problem into an algebraic equation, we have;
[tex]L = 4W[/tex]
Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P = 2(L+W)\\\\30 = 2(4W + W)\\\\30 = 2(5W)\\\\30 = 10W\\\\W = \frac{30}{10}[/tex]
Width, W = 3 inches
For its length:
[tex]L = 4W\\\\L = 4(3)[/tex]
Length, L = 12 inches.
Now, we can determine the area of the rectangular sign by using the formula:
[tex]Area = LW\\\\Area = 12(3)[/tex]
Area = 36 square inches.
Therefore, the area of the rectangular sign is equal to 36 square inches.
Find more information: brainly.com/question/897975
3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.
Answer:
well you could do 26 groups of 6 people
Step-by-step explanation:
4) Jamar is driving cross-country from California to Florida over seven day. Each day from
Monday through Friday, he drives 451.15 miles. On Saturday and Sunday, he drives half this
distance each day. How many miles will Jamar drive in the entire week? Tell me how you got the answer for Brainlyest
Answer:
2,706.9
Step-by-step explanation:
451.15 × 5 = 2,255.75
451.15 ÷ 2 = 225.575
2,255.75 + 225.575 = 2,481.325
2,481.325 + 225.575 = 2,706.9
total= 2,706.9
What is the length of the missing side of this triangle? *
Answer:
8.9
Step-by-step explanation:
- there are two given sides and its a right angle triangle so you can use pythagoras
- 12^2 = 8^2 + y^2
- rearrange
y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]
y = 8.9
In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP
Answer:
-150 points cause 200-350= -150
Step-by-step explanation:
Can i have brainliest i've never got one before
To attend the football game, it costs $8 for parking plus $59 per ticket. If Bryan paid $362, how many tickets did he purchase?
Answer:6 tickets
Step-by-step explanation:
X= number of tickets
59x+8= 362
59x= 362-8
59x= 354
X= 354/59
X= 6
Bryan bought six tickets, hope this helps!!!!