PLEASE
Solve for x and y by graphing the system of linear equations.
y=-7/2x+3
y=-3/2x-1
Answers
Answer:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Step-by-step explanation:
hope its right
Related Questions
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )
x = 7 ± 6
then
x = 7 - 6 = 1
x = 7 + 6 = 13
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answers
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
40 is what percent of 20
Answers
Answer:
200%
Step-by-step ex
Answer:
200%
Step-by-step explanation:
x% of 20 = 40
x/100 × 20 = 40
x/10 × 2 = 40
x/5 = 40
x = 40×5
x = 200
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.
A student programs a robot to move across a flat surface over the time interval 0 ≤ t ≤ 20 seconds. The position of the robot at time t seconds is given by the parametric equations x (t) = 3t + sin t and y(t) = 3 cos(t - sint), where x (t) and y(t) are measured in meters. The derivatives of these functions are given by ' (t) = 3 + cos t and y (t) = -3 sin (t – sint).(1 - cost)
(a) Write an equation for the line tangent to the path of the robot at time t = 4 seconds. (b) Find the speed of the robot at timet = 10 seconds (c) Find the acceleration vector of the robot at the time when the robot is at the point with a-coordinate 50. (d) Find the average speed of the robot from timet 50conds to timet 20 seconds
Answers
An equatiοn fοr the line tangent is y = 1.37x - 15.34, speed οf the rοbοt at time t = 10 secοnds is 2.16 m/s, acceleratiοn vectοr οf the rοbοt is -0.56 i - 2.63 j, the average speed οf the rοbοt frοm time t 50cοnds tο time t 20 secοnds is 2.07 m/s.
What is derivatives?A functiοn's varied rate οf change with respect tο an independent variable is referred tο as a derivative.
(a) Tο find the equatiοn οf the tangent line at time t = 4 secοnds, we need tο find the values οf x(4) and y(4), as well as the values οf dx/dt and dy/dt at t = 4.
x(4) = 3(4) + sin(4) ≈ 12.24
y(4) = 3cos(4 - sin(4)) ≈ 2.67
dx/dt = 3 + cos(4) ≈ 2.65
dy/dt = -3sin(4 - sin(4))(1 - cos(4)) ≈ 1.37
Using the point-slope form of the equation for a line, we have:
y - y(4) = dy/dt * (x - x(4))
y - 2.67 = 1.37(x - 12.24)
y = 1.37x - 15.34
(b) The speed of the robot at time t = 10 seconds is given by the magnitude of the velocity vector at that time:
\(|v(10)| = \sqrt{[(dx/dt)}^2 + (dy/dt)^2] \\\\=\sqrt{[(3 + cos(10))^2} + (-3sin(10 - sin(10))(1 - cos(10)))^2] \\\\=2.16 m/s\)
(c) To find the acceleration vector at the time when the robot is at the point with a-coordinate 50, we need to find the values of t, x(t), y(t), dx/dt, and dy/dt when x = 50. We can solve for t as follows:
50 = 3t + sin(t)
sin(t) = 50 - 3t
t ≈ 5.59 seconds
Using this value of t, we can find x(5.59) and y(5.59):
x(5.59) = 3(5.59) + sin(5.59) ≈ 18.49
y(5.59) = 3cos(5.59 - sin(5.59)) ≈ -1.68
Finally, the acceleration vector at this point is given by:
\(a = (d^2x/dt^2) i + (d^2y/dt^2) j\)
= (-sin(5.59)) i + (-3cos(5.59 - sin(5.59))cos(5.59) - 3sin(5.59 - sin(5.59))sin(5.59) - 3sin(5.59 - sin(5.59))(1 - cos(5.59))) j
≈ -0.56 i - 2.63 j
(d) The average speed of the robot from time t = 5 to time t = 20 is given by:
(1/15) * ∫[5,20] √[(dx/dt)² + (dy/dt)²] dt
≈ 2.07 m/s
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find the equation of the line tangent to the graph of f at (1,4), where f is given by f(x)=2x^3-3x^2+5
Answers
Answer:
\(y = 4\)
Step-by-step explanation:
First, find the derivative of f:
\(\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ 2x^3 - 3x^2 + 5\right] \\ \\ & = 6x^2 - 6x \\ \\ & = 6x(x-1)\end{aligned}\)
Find the instantaneous slope at x = 1:
\(\displaystyle \begin{aligned} f'(1) & = 6(1)((1)-1) \\ \\ &= 0 \end{aligned}\)
From the point-slope form, find the equation of the line:
\(\displaystyle \begin{aligned}y - y_1 & = m(x-x_1) \\ \\ y - (4) & =(0)(x-(1)) \\ \\ y & = 4 \end{aligned}\)
In conclusion, the equation of the tangent line is y = 4.
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
TrianglesABC and DEF are
Similar
Not similar
Answers
Answer:
Similar
Step-by-step explanation:
We can say that the triangles are similar by looking at the angle measurements
Angle B = 35
Angle F = 55
Both angles A and D = 90 because these are right triangles
We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180
Same rule applies to angle C
Hi can someone who is good at this please help I'm struggling here.
if there were 100 males and 200 females how many flies of each would have red eyes?
Answers
Answer:
The cross-over diagram is correct. The number of flies of each sex with red eyes will depend on the genotype of the parents.If a red-eyed male mates with a white-eyed female, all of the offspring will be female and have red eyes (XRXr).If a red-eyed male mates with a red-eyed female, half of the offspring will be male and have red eyes (XRY) and half will be female and have red eyes (XRXr).If a white-eyed male mates with a white-eyed female, all of the offspring will be white-eyed (XrXr).Therefore, if there are 100 males and 200 females, the number of flies of each sex with red eyes will be:Males: 50Females: 150I hope this helps!
permieter of 2 rectangles is 54 cm.
work out the area of a square
Answers
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
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which value of x makes this inequality true? x+9<4x
Answers
Answer:
Step-by-step explanation:
x+9
Let x, be 4
4+9=13
given condition,
x+9<4x
4+9<4(4)
13<16
The answer is:
x > 3Work/explanation:
Our inequality is:
\(\sf{x+9 < 4x}\)
Flip it
\(\sf{4x > x+9}\)
Solve
\(\sf{4x-x > 9}\)
Combine like terms
\(\sf{3x > 9}\)
Divide each side by 3
\(\sf{x > 3}\)
Hence, x > 3Katie wants to include stickers in the gift bags for a party. Stickers come in packs of 25. She wants to give each of the 17 guests at least 10 stickers. How many packs of stickers will she need?
10.1 Write and solve an inequality that describes this situation.
Answers
Answer:
7
Step-by-step explanation:
170/25
170 divided by 25
= 6.8
round it up to 7
ReWrite 2/3 and 3/4 with a common denominator
Answers
Answer:
8/12 and 9/12
Step-by-step explanation:
2/3 = 8/12 and 3/4 = 9/12
To get two fractions with common denominators you can find the least common multiple of the denominators or you can multiply 2/3 x 4 and 3/4 x 3
The lowest common denominator between 4 and 3 is 12
To get from 4 to twelve we multiplied by 3. Whatever you do to the bottom you do to the top. The top number is 3.
3 x 3 = 9
So your new fraction is 9/12. If you simply this you get 3/4 so this checks out ✔️
Now we need to do the other fraction
To get to from 3 to twelve we multiply by 4
3 x 4 = 12
Whatever you do to the bottom you have to do it the same to the top
2 x 4 = 8
Now you get 8/12. 8/12 simplified is 2/3 so this Plato’s checks out ✔️
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answers
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
Jacob bought 7 Tshirts for $32.90.Kyle bought 12 shirts for $60.00. Kyle says he paid less per Tshirt than Jacob. Is Kyle correct.
Explain your answer
Answers
Kyle: 60.00/12 = $5 per one T-shirt
Jacob paid less per T-shirt than Kyle.
Therefore, Kyle was wrong.
Matt ran 8 laps in 1,256 seconds. If he ran each lap in the same amount of time , how many seconds did it take him to run 1 lap
Answers
Matt takes 157 seconds to run 1 lap.
What is ratio?Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to run 8 laps = 1,256 seconds
To find time taken to run 1 lap, use the ratio property,
8 laps = 1256 seconds
1 lap = 1256/8 seconds
1 lap = 157 seconds
Matt takes 157 seconds to run 1 lap.
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Find 2 numbers if their difference is 16 and their ratio is 5:7
Answers
Answer:
40 and 56.
Step-by-step explanation:
x - y = 16 where x is the greater number
If the ratio is 5:7 one number must be 7/12 of the total of the 2 numbers, so:
x = 7/12(x + y)
From first equation x = y + 16, so substituting for x:-
y + 16 = 7/12( 2y + 16)
Multiplying through by 12:
12y + 192 = 7(2y + 16)
12y + 192 = 14y + 112
2y = 192 - 112 = 80
y = 40
So x = 40+ 16 = 56.
Answer:
The numbers are:
56 and 40
Step-by-step explanation:
a - b = 16 eq. 1
5a = 7b eq. 2
from eq. 1:
a = 16 + b
relacing this last eq. in eq. 2
5(16+b) = 7b
5*16 + 5*b = 7b
80 + 5b = 7b
80 = 7b - 5b
80 = 2b
80/2 = b
40 = b
From eq. 1
a - b = 16
a - 40 = 16
a = 16 + 40
a = 56
Check:
from eq. 2:
5a = 7b
5*56 = 7*40 = 280
which must be true in order for the relationship zyx~wvu to be correct
Answers
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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Solve the following inequality’s graphically on the set of axes below.
y≥3x−5 and y<−x−1
Answers
Answer:
(-11,-3)
Step-by-step explanation:
check is the stetmint is true . -3 grter or eqoule -33+5 that true
The number of animals in a population at the start of year t is Pt
The number of animals at the start of year 1 is 400
Given that
Pt + 1 = 1.01Pt
work out the number of animals at the start of year 3
Answers
Therefore, the number of animals at the start of year 3 is approximately 408.04.
What is equation?An equation is a mathematical statement that shows the equality of two expressions, usually with an equal sign "=" in between them. An equation can contain variables, constants, and operators. The variables are represented by letters and can take on different values, while constants are fixed values that do not change. Operators include mathematical symbols like plus, minus, multiplication, and division, as well as exponents and logarithms.
Here,
We are given that the population at the start of year 1 (P1) is 400. Using the recurrence relation Pt + 1 = 1.01Pt, we can find the population at the start of year 2 (P2) and year 3 (P3) as follows:
P2 = 1.01 * P1 = 1.01 * 400 = 404
P3 = 1.01 * P2 = 1.01 * 404 = 408.04
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Helppppp meeeee pleaseeee?
Answers
Answer:
D
Step-by-step explanation:
A. The domain is not all real numbers since the domain of the inverse is the range of the square root function which is not all real numbers.
B and C. The domain is not x >= -4, that's the range since the domain and range are swapped relative to the original square root function which had a domain x >= 4 and a range x >= 0
D. This is true since the range of the square root function is x >= 0 which is now the range of the inverse.
Solve for r 1+3r>10 please I need this solved aspap
Answers
The solution to the inequality 1 + 3r > 10 is r > 3.
This means that any value of r greater than 3 will satisfy the inequality.
To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.
Let's begin by subtracting 1 from both sides of the inequality:
1 + 3r - 1 > 10 - 1
This simplifies to:
3r > 9
Next, we can divide both sides of the inequality by 3 to solve for r:
(3r)/3 > 9/3
This simplifies to:
r > 3
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Find p and q, if Definition area is [3;10]
![Find p and q, if Definition area is [3;10]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/SJy1S6bDj3kqx4mLI8xZ0dRSV3qGkRey.png)
Answers
\(\\ \tt\longmapsto y=\sqrt{-x^2+px+q}\)
Put(3,10)\(\\ \tt\longmapsto y^2=-x^2+px+q\)
\(\\ \tt\longmapsto 10^2=-(3^)2+3p+q\)
\(\\ \tt\longmapsto 100=-9+3p+q\)
\(\\ \tt\longmapsto 3p+q=109\)
Use hit and trial method.Let p,q be (27,28)
Apply
\(\\ \tt\longmapsto 3(27)+28=81+28=109\)
Verified
help with this please
Answers
Answer:
a) cannot be determined
b) a triangle can be drawn, but its dimensions cannot be determined
Step-by-step explanation:
a)The vertical axis is labeled in units of kilometers. The horizontal axis is labeled as distance, with no units given. The line shown appears to descend from 12 units above ground level over a distance of 34 units along ground level. One could argue the slope is 12/34 = 6/17, but there is no indication the horizontal units are the same as the vertical units.
The slope of the graph cannot be determined, because we don't know the horizontal units.
__
b)You can draw the triangle, but you cannot determine its dimensions.
what is the daily average snowfall
Answers
Answer:
you know i say ummm bout 10
1. Mother bought 13.5 kg of sugar and then she repacked the sugar in several bags. If she put 1.5 kg in each bag, how many bags of sugar did she have? only numbers
Answers
13.5/1.5=9 bags
Emma buys a game for $26.84. She gives
the clerk $30.00. List Emma's change using the least
number of coins and bills.
Answers
Answer:
3 1-dollar-bills. 1 dime. 1 nickel. 1 penny
$3.16 in return.
4x – 22 = -14 pls help again
Answers
Answer:
x = 2
Step-by-step explanation:
Given equation,
→ 4x - 22 = -14
Now the value of x will be,
→ 4x - 22 = -14
→ 4x = -14 + 22
→ 4x = 8
→ x = 8/4
→ [ x = 2 ]
Hence, the value of x is 2.
A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
Answers
The 95 percent confidence interval is (0.20, 0.32).
a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:
Let p = proportion of yellow peas = 155/595 = 0.26
Sample size = n = 595
Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03
95% confidence interval = p ± 1.96 × SE
= 0.26 ± 1.96 × 0.03
= 0.26 ± 0.06
So, the 95% confidence interval is (0.20, 0.32).
b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.
Therefore, the 95 percent confidence interval is (0.20, 0.32).
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3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony
Answers
Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.
What number of seats does the theatre have?The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.
The total number of seats in the theatre are:
= Number of seats on balcony / Proportion of seats this represents
Solving gives:
= 120 ÷ 1/5
= 120 ÷ 0.2
= 600 seats
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