Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
Does anyone know the solution to this question
Answer:
Graph A
Step-by-step explanation:
3x+y=5
y=-3x+5
4x-y=2
-y=-4x+2
4=2x-2
a school district collected 14,621 pounds of recyclables during last year. This year was 3,943 more pounds of recyclables than it collected last year. How many pounds of recyclables did the school district collected last year?
Answer:
14,621 lbs.
Step-by-step explanation:
It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.
Rainfall was 6 inches in September and 4.9 inches in October. What was the difference in rainfall?
Answer:
1.1
Step-by-step explanation:
6-4.9=1.1
Hope I helped!
Please mark Brainliest!!!
Answer:
1.1
Step-by-step explanation:
it's easy you just subtract.
Which of the following expressions is equivalent to the one below? 3x + 6y
A.
6(2x + y)
B.
6x + 3y
C.
3(x + 2y)
D.
9(x + y)
i need help plzzzzzzz :))
Answer:
C. Both Functions Have a y-intercept of -2
Step-by-step explanation:
In Function F it shows us that it has a y-intercept of -2, and in the equation of Function G it shows us that you would subtract 2 out of what the initial value would be:
(3 x 0 = 0)
0 - 2 would be -2 so it would have a y-intercept of -2.
G(x)=2x -3
What is the value of
G(2) - g(3)
Answer:
-2
Step-by-step explanation:
You plug the values in. 2(2)-3=1, and 2(3)-3=3
1-3=-2
Hope I helped!
round 0.918 to the nearest whole number
how can you tell how many solutions you'll get for a trigonometric equations? does it depend on the value of theta or the range?
Answer: Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is \displaystyle 2\pi2π. In other words, every \displaystyle 2\pi2π units, the y-values repeat. If we need to find all possible solutions, then we must add \displaystyle 2\pi k2πk, where \displaystyle kk is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is \displaystyle 2\pi :2π:
\displaystyle \sin \theta =\sin \left(\theta \pm 2k\pi \right)sinθ=sin(θ±2kπ)
There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.
What is the fractional form of 0.8 repeating ? A 8/10 B. 1/8 C.8/9 D 8/11
Answer:
C
Step-by-step explanation:
8 divided by 9 = 0.8888...
David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.
Answer:
.68.0314 m/s
.42.272752125mph
68.0314km/h
Step-by-step explanation:
Jason left for school and forgot his math homework on the kitchen table. His mother found the homework 10 minutes after Jason left, and started driving 36 mph to catch him. Jason bikes 12 mph.
a.How long will it take Jason's mother to catch him?
b. How many miles has Jason biked when his mother catches him?
c. If Jason's school is 2.5 miles from his apartment, how fast must his mother drive to catch him at the school door?
Answer: 5 minutes
Step-by-step explanation:
a. Jason's mother to catch him after time of 5minutes.
b. Jason biked for distance of 3miles when his mother catches him.
c. Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.
What is speed?
" Speed is defined as the total distance travelled per unit time."
Formula used
[tex]Speed = \frac{total distance travelled}{total time taken}[/tex]
According to the question,
Speed of Jason bike = 12mph
1hour = 12miles
60minutes = 12miles
1minutes = [tex]\frac{12}{60}[/tex] miles
Speed of Jason's mother bike = 36mph
Time after mother found the homework = 10 minutes
After 10 minutes
Jason is at distance = [tex]\frac{12}{60} (10)[/tex]
=2miles
After 15 minutes = [tex]\frac{12}{60} (15)[/tex]
= 3miles
To cover three miles mother has to drive for
1hour = 36miles
60minutes = 36miles
1miles = [tex]\frac{60}{36}[/tex] minutes
3miles = [tex]\frac{60}{36} (3)[/tex]
= 5minutes
If Jason's school is 2.5 miles from his apartment,
Time taken by Jason to reach school door = [tex]\frac{2.5}{12.5} (60)[/tex] minutes
= 12.5 minutes
Time in which mother has to cover distance of 2.5miles
= [tex](12.5-10)[/tex]minutes
= 2.5minutes
Substitute the value in the formula we get,
Speed of mother's bike = [tex]\frac{2.5}{2.5} (60)[/tex] mph
= 60mph
Hence,
a. Jason's mother to catch him after time of 5minutes.
b. Jason biked for distance of 3miles when his mother catches him.
c. Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.
Learn more about speed here
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Which number is the additive inverse of
-4 1/4
Joey can walk at a rate of 3 meters per second. How long would it take him to walk 300 meters.
Answer:
100s
Step-by-step explanation:
Find the slope of the line that asses through the pair of oints (17,11) and (21,19)
Answer:
The slope of the two points is 2. (8/4)
Answer:
The slope of the two points is 2. (8/4)
Step-by-step explanation:
thats it
Two lines are represented by the equations:
y = 4x + 1
y - 4x = -9
Which statement below is true?
a
They are the same line.
b
They have zero slopes.
c
They have reciprocal slopes.
d
They have the same slope.
Answer:
d. have same slope
Step-by-step explanation:
Round to the nearest 100 of 6,850..
Solving systems of linear equations algbraically.
Answer:
(3,-6)
Step-by-step explanation:
[1] x - 2y = 15
[2] 2x + 4y = -18
Graphic Representation of the Equations :
-2y + x = 15 4y + 2x = -18
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 2y + 15
// Plug this in for variable x in equation [2]
[2] 2•(2y+15) + 4y = -18
[2] 8y = -48
// Solve equation [2] for the variable y
[2] 8y = - 48
[2] y = - 6
// By now we know this much :
x = 2y+15
y = -6
// Use the y value to solve for x
x = 2(-6)+15 = 3
Solution :
{x,y} = {3,-6}
Write a formula for the total cost (T), in pence, of 5 cups of lemonade and 2 chocolate bars.
Answer:
[tex] T = 5l + 2c [/tex]
Step-by-step explanation:
Lemonade = l pence per cup.
Cost of 5 cups of Lemonade = [tex] 5 \times l = 5l [/tex]
Chocolate bar = c pence per bar
Cost of 2 Chocolate bars = [tex] 2 \times c = 2c [/tex]
Total cost (T) = Cost of 5 cups of Lemonade + Cost of 2 Chocolate bars
✔️The formula for the total cost would be:
[tex] T = 5l + 2c [/tex]
Henry has 15 lawns mowed out of a total of 60 lawns. What percent of the lawns does Henry still have to mow?
Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.
How do you do the last two questions?
Answer:
P = 6200 / (1 + 5.2e^(0.0013t))
increases the fastest
Step-by-step explanation:
dP/dt = 0.0013 P (1 − P/6200)
Separate the variables.
dP / [P (1 − P/6200)] = 0.0013 dt
Multiply the left side by 6200 / 6200.
6200 dP / [P (6200 − P)] = 0.0013 dt
Factor P from the denominator.
6200 dP / [P² (6200/P − 1)] = 0.0013 dt
(6200/P²) dP / (6200/P − 1) = 0.0013 dt
Integrate.
ln│6200/P − 1│= 0.0013t + C
Solve for P.
6200/P − 1 = Ce^(0.0013t)
6200/P = 1 + Ce^(0.0013t)
P = 6200 / (1 + Ce^(0.0013t))
At t = 0, P = 1000.
1000 = 6200 / (1 + C)
1 + C = 6.2
C = 5.2
P = 6200 / (1 + 5.2e^(0.0013t))
You need to change the exponent from negative to positive.
The inflection points are where the population increases the fastest.
Jason is 22 years older than his sister Ann. In 4 years, he will be twice as old as Ann. How old is each of them now?
Answer:
im not sure if this is rite
Step-by-step explanation:
jason=a+22
ann=a
a+22+4=2a+4
a+26=2a+4
a=22
Could you please help me
Answer:
4 3/4
Step-by-step explanation:
cueluisghvreiuasghfe;ahfuiealw
Answer:
Step-by-step explanation:
[tex]4\frac{3}{4}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]4\frac{9-4}{12}[/tex] = [tex]4\frac{5}{12}[/tex] feet
may someone help me find A H AND K ?
Answer:
a = -2
h = -1
k = -6
Step-by-step explanation:
This is called the vertex form of a quadratic:
y = a(x – h)2 + k
To arrive at the answer, simply locate where each variable would be in place of the number.
I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer as Brainliest. It would be a big help! Have a great day! :)
3. Which equation fits the transformed quadratic
graph below.
A. y = (x + 1)2 + 2
B. y = (x - 1)2 + 2
C. y = (x + 1)2 – 2
D. y = (x - 1)2 – 1
12 less than the product of negative 8 and n
12 < -8n
(I'm not hundred percent sure I'm sorry but that's what I came up with)
A number increased by 35
Answer:
x+35
Step-by-step explanation:
What is the total amount of paper, glass, and plastic waste not recovered
Answer:
63,630,000 tons not recovered
Step-by-step explanation:
Paper generated = 71,310,000 tons
Paper recovered = 44,570,000 tons
Glass generated = 11,530,000 tons
Glass recovered = 3,130,000 tons
Plastics generated = 31,040,000 tons
Plastics recovered = 2,550,000 tons
Total generated = 113,880,000 tons
Total recovered = 50,250,000 tons
113,880,000 - 50,250,000 = 63,630,000 tons not recovered
You move up 1 unit and down 7 units. You end at (-5, -2). Where did you start?
hi there! heres my answer for you...
Answer:
you started at (-5, 4)
Step-by-step explanation:
do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.
hope this helps. have a good one!
The coordinate of the point from where we started will be (1, -2).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
You move up 1 unit and down 7 units. You end at (-5, -2).
Let the initial coordinate be (x, y). Then the transformation is written as,
(-5, -2) → (x + 1 - 7, y)
Compare the abscissa, then we have
- 5 = x + 1 - 7
x = - 5 - 1 + 7
x = 1
Compare the ordinate, then we have
y = -2
Then the coordinate of the point from where we started will be (1, -2).
More about the transformation of a point link is given below.
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HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.
What is the value of b?
Answer:
[tex]b=2[/tex]
Step-by-step explanation:
We know that the line passes through the point (16, -10).
And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]
Notice that the slope of this line is -3/4
Remember that parallel lines have the same slope.
Therefore, the slope of our new line is also -3/4
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:
[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]
Distribute:
[tex]y-(-10)=-\frac{3}{4}x+12[/tex]
Simplify:
[tex]y+10=-\frac{3}{4}x+12[/tex]
Subtract 10 from both sides:
[tex]y=-\frac{3}{4}x+2[/tex]
This is in the form y=mx+b.
Therefore, our b is 2.
And our final answer is 2.
Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.