Answer:(-y/(1/2)) -x/(1/2)=1
Step-by-step explanation:
The coordinates of the focus of the parabola are (2, -1.9375)
How to determine the focus?The equation of the parabola is given as:
[tex]y = \frac 14x^2 - x - 1[/tex]
Express as a vertex form
[tex]y = \frac 14(x - 2)^2 - 2[/tex]
The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is
Focus = (h, k + 1/4 a)
By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:
a = 1/4
h = 2
k = -2
So, we have:
Focus = (2, -2 + 1/4 * 1/4)
Evaluate
Focus = (2, -1.9375)
Hence, the coordinates of the focus of the parabola are (2, -1.9375)
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Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
PLS HELP!!! WILL GIVE BRAINLIST!!!
What is the probability of a customer buying a vegetable that is not an onion at this store?
79%
81%
90%
19%
Change this fraction to an equivalent fraction with multiplication.
4/7 = ______
Sample Answer:
8/14
Step-by-step explanation:
This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value
4/7
4 * 2 = 8
7 * 2 = 14
8/14 = 4/7
Answer:
8/14
Step-by-step explanation:
8x6, then 11x12, 12x8 and 8x12 8x7 than add the answers together
Question:
Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings accounts?
(PLEASE ANSWER IN YOUR OWN WORDS!)
Answer:
Step-by-step explanation:
The bank uses money deposited into savings and other accounts for investments and loans. They need to ensure that the money won’t be withdrawn so they have use of that money.
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
help me please, im trying to get all my missing assignments innn
Answer:
A"= -5,2
B"= -6,-1
C"= -4,0
(I think these are right)
Answer:
A=(5,2)
B=(5,1)
C= (3,0)
Step-by-step explanation:
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️Find the value of x.
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
Mrs. Murphy's students measured their pencils. She made this line plot to show the data. Mrs. Murphy told the students that they should get a new pencil if their pencil length was 4 inches or shorter. How many students will need new pencils?
Answer:
8 students
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for pencils height : pencil height 3 with 3 students, pencil height 4 with 5 students , pencil height 5 with 3 students
So, students having pencil height < 4, ie = 3 & 4 , are 3 + 5 [ total 8 ] students]
The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is the probability of both events occurring, in that order?
P(A) • P(B)
P(A + B)
P(A x B)
P(A) + P(B)
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].
Hence, the correct option is A.
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
Which graph represents the solution to the system of equations?
y = 2x + 5
y = 1/3x - 2
(See Picture)
Answer: Second answer first row
How to: Graph
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Lauren is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client, charging a total of $201. Today, she did 5 haircuts and colored the hair of 1 client, charging a total of $287. How much does Lauren charge for her services?
HURRY!!
In an isosceles triangle, the measure of a base angle is 65º. Find
the number of degrees in the measure of the vertex angle.
Answer:
Your answer is 50 degrees.
Step-by-step explanation:
An isosceles triangles base angles are equal.
A triangle's angles add up to be 180 degrees.
65+65+x = 180
130+x = 180
x = 50
Vertex angle is 50⁰.
What are triangles?A closed two-dimensional figure with three sides, three angles, and three vertices is called a triangle. The smallest polygon with the fewest sides is the triangle. A triangle can be divided into three categories based on its sides:
Scalene Triangle: Each side measures differently.
Isosceles Triangle - Different sides of a triangle are of a similar measure and the excess side has an alternate measure.
An equilateral triangle has three sides that are all the same size.
Given an isosceles triangle,
measure of base angle = 65⁰
in an isosceles triangle two angles are equal and sum of all the angles is 180⁰, the equal angles are called base angle;
let vertex angle be x , according to triangle property
sum of all the angles is 180⁰,
base angle + base angle + vertex angle = 180
65 + 65 + x = 180
x = 180 - 130
x = 50⁰
Hence the the measure of the vertex angle is 50⁰.
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Question 5 of 23 Simplify the expression. –x(6x – 7) A. –6x2 + 7x B. 5x2 – 6x C. 6x + 7x D. –6x – 7x
Answer:
I'm not sure about the options
Step-by-step explanation:
but this is the answer when we simplify
(4rxt – 8r2x + x²) – (6rx² + 5rxt – 2x)
Find the sum or difference
Please help! I’m stuck and can’t figure it out
Answer:
[tex]sum = (4 - 5)rxt - (8 + 6) {rx}^{2} + (1 + 2)x \\ = - rxt - 14 {rx}^{2} + 3x \\ \\ difference = (4 + 5)rxt + (6 - 8) {rx}^{2} + ( - 2 + 1)x \\ = 9rxt - 2 {rx}^{2} - x[/tex]
[tex] \small{ \underline{{ \blue{becker}}}}[/tex]
divisor of number
6?
Answer:
1 2 3 6
Step-by-step explanation:
1x6=6
2x3=6
3x2=6
6x1=6
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2
Answer:
Option D
Step-by-step explanation:
Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)
Measure of AB = 7 - 1 = 6 units
Measure of BC = 7 - 3 = 4 units
Measure of CD = 7 - 4 = 3 units
From the figure attached,
Area of the trapezoid = [tex]\frac{1}{2}(AB+CD)(BC)[/tex] [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]
= [tex]\frac{1}{2}(6+3)(4)[/tex]
= 18 square units
Therefore, Option D will be the correct option.
Determine the explicit formula for the following arithmetic sequence. Put it in the form
an
7, 12, 17, 22,...
What will the 30th term in the sequence be?
Answer:
Tn=5n+2
Step-by-step explanation:
Tn=5n+2
T30=5*30+2
T30=150+2
T30=152
Convert 12/5into a percent
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...‼️‼️HELP PLS HELP ILL MARK YOU BRAINLEST‼️‼️
a) 75°
b) 105°
c) 52.5°
d) 180°
Answer:
52.5
Step-by-step explanation:
180-75=105
105/2=52.5
Answer:
b) 105°
Step-by-step explanation:
Tanvi's favorite holiday activity is making gingerbread houses. She always uses 7 pieces of licorice to make a window. This year, Tanvi used 56 pieces of licorice for the windows on her gingerbread house. How many windows are on tanvi gingerbread house this year
need help please to pass
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
PLEAS EHELP!!!!!’n EXTRA POINTS AND BRAINLIEST
Answer:
Graphing inequalities on a numberline:
38 > x
The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.
10 ≤ x
This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.
28 ≤ X
The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).
16 > x
This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.
In the figure below, points D, E, and F are the midpoints of the sides of LABC,
Suppose DF=34, AC=48, and BC=78.
Find the following lengths.
Answers:
DE = 39AB = 68BE = 34=============================================================
Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
-------
DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
-------
BE = 34 for two reasons
Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent. E is the midpoint of AB, so BE is half as long as AB--------
We don't use the info that AC = 48.
Solve the system. Remember to write your solution in coordinate form. Help please :)
Answer:
(5,-20)
Step-by-step explanation:
How many ways can you arrange the letters in vacuum?