Answers
Answer:
x = 45°, y = 85°
Step-by-step explanation:
x = 45° ( Alternate angles )
y = 85° ( Corresponding angles )
Related Questions
The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.
Answers
Answer:
[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]
[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]
The parabola opens to the right (horizontally)Step-by-step explanation:
We need to note a few basic rules about focuses and directrix’s of a parabola.
1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry
2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola
3. The directrix is always the same distance away from the vertex as the focus
If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)
These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!
The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.
Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.
So our vertex is at [tex](-3, 2)[/tex].
We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]
In conclusion
The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)Hope this helped!
∠A and \angle B∠B are complementary angles. If m\angle A=(8x-23)^{\circ}∠A=(8x−23)
∘
and m\angle B=(7x-7)^{\circ}∠B=(7x−7)
∘
, then find the measure of \angle A∠A.
Answers
Answer: 41
Step-by-step explanation:
No❤️
Can somebody please help me with this algebra assignment thank youu
Answers
Answer: you answer is -$150
Step-by-step explanation:
450 minus 200 minus 200 minus 200 and you get -$150
An object was dropped off the top of a building. The function
f
(
x
)
=
−
16
x
2
+
256
f(x)=−16x
2
+256 represents the height of the object above the ground, in feet,
x
x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
f(−1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
1.5
)
=
f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
6
)
=
f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .
Answers
Answer:
What is the equation, it’s hard to understand
Step-by-step explanation:
Andrew is descending 57 feet underwater while scuba diving. If he descends at a rate of 3 feet per second, how many seconds will it take Andrew to descend the full distance?
Answers
Answer: 19 seconds
Step-by-step explanation:
From the question, we are informed that Andrew is descending 57 feet underwater while scuba diving and that he descends at a rate of 3 feet per second.
The number of seconds that it will take Andrew to descend the full distance will be 57 divided by 3. This will be:
= 57/3
= 19 seconds
It'll take Andrew 19 seconds to descend the full distance
You plan to invest $100 per month for the next 10 years into an account that pays 8% with daily compounding. How much will you have in the account in 10 years?
Answers
Answer:
FV= $18,213.18
Step-by-step explanation:
First, we need to calculate the monthly real interest rate:
Daily interest rate= 0.08/360= 0.00022
Monthly interest rate= (1.00022^30) - 1
Monthly interest rate= 0.0066
Assuming a year of 360 days, and months of 30 days.
Now, we can determine the future value of the investment:
Monthly deposit= $100
Number of periods= 10*12= 120
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0066^120) - 1]} / 0.0066
FV= $18,213.18
A 56 inch of pipe is cut into two pieces. One piece is 8 inches longer than the other. How long is each piece?
Answers
Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert
Answers
Answer:
No
Step-by-step explanation:
Given that:
Plastic sleeves needed = 250
Number of baseball cards = 3084
Sleeves held per card = 12
To determine the number of sleeves needed ;
Number of baseball cards / number of sleeves per card
= 3084 / 12
= 257
No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257
A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the games? The player had nothing hits in the rest of the games.
Answers
Answer:
[tex](61-h)[/tex]
Step-by-step explanation:
Total number of hits by baseball player in one season = 61
Number of hits in one game = [tex]h[/tex]
To find:
The expression to represent the number of hits that the player got in the rest of the games = ?
Solution:
Number of hits that the player got in one game = [tex]h[/tex]
Let the number of hits that the player got in rest of the games = [tex]x[/tex]
As per the given question statement,
The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.
[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]
Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.
3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2
Answers
B. 8x-1
C. 6x+12
D. 3x +4
E. 13x-7
The like terms combined and equivalent expressions are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given are the following expressions -
a. 4x + 3x
b. 3x + 5x – 1
c. 5 + 2x + 7 + 4x
d. 4 - 2x + 5x
e. 10x – 5 + 3x – 2
We have -
[A] -
4x + 3x
4x + 3x = 7x
[B] -
3x + 5x – 1
3x + 5x – 1 = 8x - 1
[C] -
5 + 2x + 7 + 4x
5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)
[D] -
4 - 2x + 5x
4 - 2x + 5x = 3x + 4
[E] -
10x – 5 + 3x – 2
10x – 5 + 3x – 2 = 13x - 7
Therefore, the like terms combined and equivalent expressions are given above.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ5
Jen waked 1/4 of a mie in 1/3 of an hour. At this rate, how long will it take her to wak 2 miles to the park?
A. 2 hours
B. 2 1/3 hours
C. 2 2/3 hours
D. 3 hours
E. 3 1/3 hours
Answers
Manuel has already sold $20 worth of tickets to the school play. He has 4 tickets left to sell at $2.50 per ticket. Write a function for the total amount collected from ticket sales
Answers
Answer:
The function is C(t)=20 + $2.50X
Total amount is $30
Step-by-step explanation:
Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket
It means he sell 1 ticket for $2.50
Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.
If He has 4 tickets left to sell at $2.50 per ticket
Then he will sell at ($2.50×4)=$10
Then total tickets sold= $10+$20= $30
LET US WRITE THE FUNCTION NOW
The function for the total amount collected from ticket sales can be written as
C(t)=20 + $2.50X
Where X is the number of tickets to be sold
C(t) = total amount
$20= initial sold
If He has 4 tickets left to sell then
C(t)=20 + $2.50(4)
C(t)= 20+10= $30
Find m angle 1 and m angle 2.
Answers
Answer:
1=87°
2=93°
Step-by-step explanation:
angle 1 is the alternate interior angle of 87
angle 1 and angle 2 are supplementary angles
180-87=93
hopefully this helps :)
plz frist to answer will be brainliest
Answers
Answer:
D
Step-by-step explanation:
p^2
Are u confused, depressed, and need help with homework?
Too bad, so am i
it's ok.
Answers
Answer:
true, i feel ya.
PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p
Answers
Answer:
-10
Step-by-step explanation:
So its A :}
an equation of the line with a slope of 2 and y-intercept of 9
Answers
Answer:
y = 2x + 9
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 9
Step 2: Write linear equation
Slope-Intercept Form: y = 2x + 9
An airplane is descending at a rate of 2500m per minute. How much higher was the
plane 10 minutes ago?
Answers
Answer:
25000 Meters high
Step-by-step explanation:
2500 x 10 = 25000
What is the y-intercept of f(x)
= (3/5)^x?
Answers
Answer:
(0,1)
Step-by-step explanation:
its right
Ms. Fritze can eat 8 apples in 15 minutes. How long does it take her to eat 16 apples at the same rate?
Answers
Answer:
30 minutes it’s just the numbers of Apple times 2
Step-by-step explanation:
Does anyone know this ?
Answers
Answer:
if im not mistaken AACB
Step-by-step explanation:
To include the personal assets and transactions of a business's owner in the records and reports of the business would be in conflict with the
Answers
Answer:
Khgiqjdbdnekjfjwjehsio
slope from two points
Answers
Answer:
- 5/7
Step-by-step explanation:
y2 - y1 / x2 - x1
(-3 - 2) / (3 + 4)
- 5/ 7
which expression can be used to find the slope of a line containing the points (-3,7) and (7,-1)
Answers
Answer:
y2- y1
x2- x1
which would be,
-1 - 7
7- (-3)
Steps:
(-3, 7) (7, -1)
(x1,y1) (x2,y2)
Answer:
slope is delta y over delta x. In other words change in y over change in x. so if you take -3 (this is x) and 7 (this is also x) and you find the change. in this example it is positive 10. now you set that number aside and work on y now. so you now take 7 (this is y) and -1 (this is also y) and you find the change. It is -8. Finaly, since slope is delta y over delta x your answer is -8/10. -8/10 is your slope.
Hope this helped!
how to change percentage to degree
Answers
Answer:
A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.
Step-by-step explanation:
If bill gates gave everyone in the world his money EQUALLY how much would each person have?
Not serious question. You dont have to answer it if you dont want to i just wanted to know.
Answers
Answer:
It's five hundred thousand each.
Step-by-step explanation:
This is for everyone in the United states so everyone would get five hundred thousand ultimately ending poverty. But The only way top end out is for them to end poverty is people get a job and house and decent car.Plz give Brainliest!!!
What is the multiplicative inverse of One half
Answers
Answer:
2
Step-by-step explanation:
The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...
A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos? Define your variables then write and solve a
system of equations.
Answers
Answer:
1 bedroom = $280
2 bedroom = $400
3 bedroom = $560
Step-by-step explanation:
Given that :
Total rent received = 1240
Rent amount of 3 bedroom = 2 times rent of 1 bedroom
Let 1 bedroom = x
2 bedroom = y
3 bedroom = 2x
x + y + 2x = 1240
3x + y = 1240 ---(1)
Repair cost :
10% of x = 0.1x
20% of y = 0.2y
30% of 2x = 0.6x
0.1x + 0.2y + 0.6x = 276
0.7x + 0.2y = 276 - - - (2)
From (1)
y = 1240 - 3x
0.7x + 0.2(1240 - 3x) = 276
0.7x + 248 - 0.6x = 276
0.1x + 248 = 276
0.1x = 28
x = $280
1 bedroom = $280
3 bedroom = $280 * 2 = $560
2 bedroom = $1240 - $840 = $400
The function g(x) = |x – 6| – 8 is graphed. What is the range? {y | y > –8} {y | y ≥ –8} {y | y < –8} {y | y is all real numbers}
Answers
Answer:
The answer is B {y | y ≥ –8}
Step-by-step explanation:
I just did it
Answer:
(B) {y | y ≥ –8}
Step-by-step explanation:
On a coordinate plane, an absolute value graph has a vertex at (6, negative 8).
The function g(x) = |x – 6| – 8 is graphed. What is the range?
{y | y > –8}
{y | y ≥ –8}
{y | y < –8}
{y | y is all real numbers}
me being dumb ✌️
The number 93 6_2 is divisible by 4. What are the possibilities for the missing digit?
Answers
Answer:
3
Step-by-step explanation:
you can do it sequentially and find a potential solution; when you divide the thing, it looks like this
__2_3_4_0_8________________
4 | 936_2
4
_________
13
12
__________
16
16
-________
0
0
________
32
32
_______
0
Answer:
1, 3, 5, 7, 9
{I guess it's just odd numbers}
Happy Thanksgiving!