Answer:
The equation of the parabola is;
(y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Step-by-step explanation:
Here, we are given the focus (-7,5) and the directix y = -11
We proceed to find the equation of the parabola
That would be in the form;
(y- mx - b)^2 /m^2 + 1 = (x- h)^2 + (y-k)^2
Let’s write the directix in the form y = mx + b
This shows that m = 0 and b = -11
Also h = -7 and k = 5
So let’s substitute;
(y + 11)^2 /(-11^2 + 1) = (x+7)^2 + (y-5)^2
= (y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Answer:
★ The answer is down BELOW
EQUATION : (y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Step-by-step explanation:
Hope you have a great day
The monthly mean salaries and standard deviations of four college students are given below.
Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
Standard Deviation
12.53
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Answer:
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Answer:
A) The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
I took the test on edge
Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?
She is correct. A triangle having at least one acute angle is an acute triangle.
She is correct. The remaining angle of the triangle measures less than 90 degrees.
She is incorrect. The angles measure greater than 90 degrees so the triangle is obtuse.
She is incorrect. The third angle in a triangle with two congruent acute angles is a right angle.
Answer:
She is correct. The remaining angle of the triangle measures less than 90 degrees
Step-by-step explanation:
Edgunity
Anna is correct. The remaining angle of the triangle measures less than 90 degrees.
What are acute angles?Acute angles are angles that measures less than 90 degrees.
Triangle DEF contains 2 congruent acute angles. This means each of those 2 acute angles in the triangle are less than 90 degrees.
The sum of the measure of the two congruent acute angles is greater than 90 degrees.
Therefore,
let
∠D and ∠E be the acute angles.
∠D + ∠E > 90°
An acute triangle:An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.
The sum of angles of a triangle is 180 degrees.
Since ∠D + ∠E > 90°, then ∠F must be less than 90 degrees.
This simply means the triangle is an acute-angled triangle. Therefore,
Anna is correct.
learn more on acute angles here: https://brainly.com/question/1634742?referrer=searchResults
Find the slope from point 0,0 to point 7,12
Slope = m = rise/run
=
y2− y1
x2 − x1
Which statement is true about the parts of this expression?
5/6 + 1/4x - y
The constant is 5/6
The only coefficient is 1/4
The only variable is y.
The terms 5/6 and 1/4X are like terms.
Carl worked 5 hours anand made a total of $42.50. The equation 42.50/5 = 153/x can be used to determine the number of hours, x, it will take him to earn $153. How many hours will Carl need to work to earn $153?
A. 15 hours
B. 17 hours
C. 18 hours
D. 21 hours
Answer: c
Step-by-step explanation: divide 42.50 by 5 and then divide your answer (8.3) to 153
Answer:
C. 18 Hours
Step-by-step explanation:
8y- 10 =
What is y ?
Help needed ASAP will give brainliest and 5 STAR RATE (not a real test)
Answer:
(0,0), (0,1), (1,2), (1,3)
Step-by-step explanation:
To determine what makes ordered pairs a function, we have to make sure each input (x) goes to exactly one output (y).
The reason this is the answer is that each input doesn't have exactly one output. (0 goes to 0 and 1. 1 goes to 2 and 3).
Is 0.2971 irrational?
Answer:
Yes
Step-by-step explanation:
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
Answer:
yes
Step-by-step explanation:
(9-4n)(-4)
Need help simplify this plz
Answer: -36+16n
Step-by-step explanation: Hope this helps!
Solve for z.
4/z
12/5
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]\frac{4}{z} = \frac{12}{5}[/tex]
4 (5) = z (12)
20 = z (12)
20 = 12z
z = [tex]\frac{5}{3}[/tex]
8(b+1)=-3(2+b) simply
Step-by-step explanation:
8(b+1)=-3(2+b)
8b+8=-6-3b
8b +3b = -6-8
11b = -14
b = -14/11
please
3. Napoli's in Gateway Plaza sells a cheese pizza for $12.14, with toppings costing $1.44 each. If Jediah ends up paying $19.34 for his pizza, how many toppings did he get?
Answer: 5
Step-by-step explanation: you subtract 12.14 from 19.44 to get the amount of money he paid for the toppings alone which is 7.4. Then do 7.4/1.44 to get 5 toppings.
Geometry: CC 2015 > Chapter 2: Chapter 2 Test >
Conjecture: Twice the number of units in the length of any side of a rectangle is equal to the number of square units in the area of the rectangle.
The area of ABDE is 4 and 2 X AB = 4
The area of ABCF is 2 and 2 x BC = 2.
The area of ABCF is 2 and 2 x AB = 4
The area of ABDE is 4 and 2 x BD = 4
The statement proves that the conjecture is
Answer:
The area of ABCF is 2 and 2 × AB = 4
The statement proves that the conjecture is false
Step-by-step explanation:
A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information
Given the length of the sides of rectangle ABDE, we have;
Length AB = 2 units
Length DE = 2 units
The area of ABDE = 2 × 2 = 4 unit²
Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE
However, the are of rectangle ABCF = 2 × 1 = 2 unit²
While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.
Therefore;
The area of ABCF is 2 and 2 × AB = 4
The statement (above) proves that the conjecture is false.
A shipping company makes a display to show how many cubes can fit into a large box. Each cube has sides of 2 inches.The large box has sides of 10 inches. Use exponents to express the volume of each cub we and the large box. What is the volume of cube? What is the volume of large box?
Answer:
125cubesStep-by-step explanation:
In this problem, we will determine the volume of the small cubes
and also we will determine the volume of the cube
given that
Each cube has sides of 2 inches.
the volume of the cube is =2^3= 2*2*2= 8inch^3
also,
The large box has sides of 10 inches.
the volume of the box is= 10^3=0*10*10= 1000inch^3
Find out how many cubes will fit in the box
1000/8=125cubes
There are 125 cubes in a box
F(x) = x + 4: find f(4) and f(x) = 10
Answer:
f(4) = 8
f(6) = 10
Step-by-step explanation:
Step 1: Define
f(x) = x + 4
f(4) is x = 4
f(x) = 10
Step 2: Find f(4)
f(4) = 4 + 4
f(4) = 8
Step 3: Find f(x) = 10
10 = x + 4
x = 6
to make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should sarah use? explain
Answer:
She must use the ratio into 5.
Step-by-step explanation:
example- say the ratio is 2:3 so she must use 10:15 .
HELP ASAP: GEOMETRY
The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through each of the parallel segments. A sketch of two parking spaces is shown below.
2 diagonal parallel lines are cut by a horizontal transversal. Where the first parallel line intersects the transversal, the top right angle is angle 1. Where the second parallel line intersects the transversal, the top left angle is angle 2.
If m∠2 = 115°, what is m∠1?
Can somebody help me with the answer to this? I'll mark brainliest!
Answer:
m<1=65°
Step-by-step explanation:
180-115=65°
It would also be 115 degrees because they are the same angle. :)
If you are given the length of the hypotenuse and one leg, does it matter whether you solve for a or b? Explain.
Answer:
No because [tex]a^2 + b^2 = b^2 + a^2[/tex]
Step-by-step explanation:
No it does not matter if you were given a or b because with the equation a²+b²=c² as long as you can substitute in two values you can solve for the unknown value. For example if you had triangle STU having hypotenuse as 41 and value a as 9 you would substitute in the values resulting in the equation 9²+b²=41² then you would solve the exponents 81+b²=1681 then you would subtract 81 having the equation now as b²=1600 then you would √b²=√1600 resulting in
b=40
you could solve that equation the same way if you had b=40 and c=42
2x - 1y = 6
-3y = -6x + 18
please explain how you got your answer thank you :)
Answer: {x,y}={6,21}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] 3x = 18
[2] x = 6
// Plug this in for variable x in equation [1]
[1] 2•(6) - y = -9
[1] - y = -21
// Solve equation [1] for the variable y
[1] y = 21
// By now we know this much :
x = 6
y = 21
We are done
Answer:
y = 2x -6. A dependent system, so all numbers on this line.
Step-by-step explanation:
2x - y = 6
-3y = -6x + 18
In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.
2x - y = 6
In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:
-y = -2x + 6
Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.
[tex]\frac{-y}{-1} =\frac{-2x+6}{-1}[/tex]
We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:
y = 2x - 6
Now, for the other equation. It's simple since y is already isolated.
-3y = -6x + 18
Once again we will be dividing both sides, but this time it's by -3.
[tex]\frac{-3y}{-3} =\frac{-6x+18}{-3}[/tex]
We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:
y = 2x - 6
Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.
Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns 4% interest and Stock B earns 7% interest, and Jim has a total of $32,000 to invest. How much should he invest in each in order to earn $2,000 interest?
Given:
Total amount for investment = $32000
Rate of interest for Stock A = 4%
Rate of interest for Stock B = 7%
Jim is hoping to earn $2,000 in interest.
To find:
The amount of investments in Stock A and Stock B.
Step-by-step explanation:
Let amount of investments in Stock A = $x
Amount of investments in Stock B = $y
Total amount for investment = $32000
[tex]x+y=32000[/tex] ...(i)
Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.
[tex]0.04x+0.07y=2000[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.04x+0.07(32000-x)=2000[/tex]
[tex]0.04x+2240-0.07x=2000[/tex]
[tex]-0.03x=2000-2240[/tex]
[tex]-0.03x=-240[/tex]
Divide both sides by -0.03.
[tex]x=\dfrac{-240}{-0.03}[/tex]
[tex]x=8000[/tex]
Put x=8000 in (i).
[tex]8000+y=32000[/tex]
[tex]y=32000-8000[/tex]
[tex]y=24000[/tex]
Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.
What is 1/8(2-x) -2/3( x - 3/4) + 2x = 13
Answer:
x=10[tex]\frac{4}{29}[/tex]
Step-by-step explanation:
Answer:
x=294/29
Step-by-step explanation:
u simplify and u get
3(2-x)-16(x-3/4)+48x=312
which is
29x+18=312
then u simplify it again
29x=294 which u get
x=294/29
The box plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed
through a busy intersection.
4.
8 12 16 20 24 28 32 36 40 44 48
Answer:
Median is 28
Step-by-step explanation:
Median is 28 smallest value is 8
4.7 x 6.8. help pls
Answer:
4.7 * 6.8 = 31.96
Step-by-step explanation:
Can someone pleaseeee help meee
16.Edwin scored 64 points in 4 games of basketball. At the same rate, how many points
can she score in 15 games?
Answer:
in 15 games, she will score 240 points
Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals are made. Account A earns simple interest. Account B earns interest compounded annually. Compare the amounts in the two accounts after 20 years. Which earns more interest? How much more?
After 20 years, account (A or B) will have earned $____ more.
Answer:
Account B earns more interest.
After 20 years, account B will have earned $171.89 more.
Step-by-step explanation:
Let's calculate the total for each account.
Account A:
Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:
[tex]A=P(1+rt)[/tex]
Where A is the future value, P is the principal, r is the rate, and t is the time in years.
So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:
[tex]A=2000(1+0.02(20))[/tex]
Multiply and add:
[tex]A=2000(1+0.4)=2000(1.4)[/tex]
Multiply. So, the total amount of money in Account A after 20 years is:
[tex]A=\$2800[/tex]
Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of [tex]2800-2000=\$ 800[/tex]
Account B:
Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:
[tex]B=P(1+\frac{r}{n}})^{nt}[/tex]
Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.
So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:
[tex]B=2000(1+\frac{0.02}{1})^{(1)(20)}[/tex]
Simplify this to acquire:
[tex]B=2000(1.02)^{20}[/tex]
Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:
[tex]B\approx\$2971.89[/tex]
Since our principal was $2000, this means that we earned an interest of approximately [tex]2971.89-2000=\$ 971.89[/tex].
So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.
So, Account B earned more interest.
And it earned [tex]971.89-800=\$ 171.89[/tex] more than Account A.
And we're done!
PWEESE HELP!!
To create a graph from an equation, evaluate the function at different ________________________ . Use the input-output pairs to identify and plot ___________________________ on the graph.
Answer: To create a graph from an equation, evaluate the function at different coordinates. Use the input-output pairs to identify and plot points on the graph.
Step-by-step explanation: Finished the assignment.
The answers to incomplete blanks are -
values of input variablecoordinate input-output pointsWhat is a graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
Given is to fill in the blanks and complete the statement below -
"To create a graph from an equation, evaluate the function at different _____ . Use the input-output pairs to identify and plot _______on the graph".
The given statement can be completed as follows -
To create a graph from an equation, evaluate the function at different values of input variable . Use the input-output pairs to identify and plot coordinate input-output points on the graph.
Therefore, the answers to incomplete blanks are -
values of input variablecoordinate input-output pointsTo solve more questions on graphs, visit the link below-
https://brainly.com/question/13298277
#SPJ2
Use the ruler to measure the length of Rs to the nearest centimeter.
cm
1
2
3
4
5
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
7
8
9 10 11
[Not drawn to scale]
The length of RS is
centimeters
Answer:
18cm
Step-by-step explanation:
Find the image to the question attached.
From the ruler, we are to find the distance between R and S i.e RS
From the ruler, R is on 8 and S is on 26.
Initial point R = 8
Final point S = 26
Length of RS = Final point S - initial point R
RS = 26 - 8
RS = 18
Hence the length of RS is 18cm
I've attached a picture plz help
Answer:
Did they say what the a and b are worth
Step-by-step explanation:
Answer:
8a + 6b = 3
Step-by-step explanation:
Simplifying
8a + 6b = 3
Solving
8a + 6b = 3
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-6b' to each side of the equation.
8a + 6b + -6b = 3 + -6b
Combine like terms: 6b + -6b = 0
8a + 0 = 3 + -6b
8a = 3 + -6b
Divide each side by '8'.
a = 0.375 + -0.75b
Simplifying
a = 0.375 + -0.75b
The square root of 215 is between which two whole numbers?
Answer:
14 and 15
Step-by-step explanation:
14.6628782986, this is the square root.
3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost?
Answer:
$2.75
Step-by-step explanation:
Cause $8.25 divided by 3 equals $2.75
hope this helps!
