Answer:
(0, - 5)
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
if the vertex is at:
(h, k)
Then the focus is at:
(h, k + 1/(4*a))
Here we have the parabola:
x^2 = -20*y
if we isolate y, we get:
y = (-1/20)*x^2
First, we need to find the vertex.
remember that for a general quadratic equation
a*x^2 + b*x + c = 0
the x-value of the vertex is at:
x = -b/2*a
in this case we have b = 0, then our vertex is at x = 0.
If we evaluate the function at x = 0 we get:
y = (-1/20)*0^2 = 0
Then the vertex is at (0, 0)
Thus the focus will be at:
(0, 0 + 1/(4*a))
and we have
a = -1/20
then:
1/(4*a) = -20/4 = 5
Then the focus is:
(0, 0 -5) = (0, - 5)
Answer:
(0,-5)
Step-by-step explanation:
Did the test on Edge
Please help!!
The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?
Answer:
[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]
Step-by-step explanation:
We can use slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So:
[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]
We are given that this equals 1/8. Therefore:
[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]
Solve for w. Cross-multiply:
[tex]-4(1)=8(4-w)[/tex]
Distribute:
[tex]-4=32-8w[/tex]
Isolate:
[tex]-8w=-36[/tex]
So:
[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]
So I am rolling a standard dice once. Is rolling 3 or 4 mutually exclusive events? Please help me understand this.
Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
Math help due soon thanks
Answer: The figures appear to be similar
============================================================
Explanation:
You'd need to use a protractor, or perhaps some trig tricks that I can't think of right now, to determine that the angles are the same. They appear to be the same so, let's assume that the angles are the same.
That means we just need to focus on the sides being proportional or not. We simply divide the corresponding sides in the correct order. If we get the same result each time, then we have similar figures.
I've marked your drawing adding color coded circles to show which sides are corresponding. We'll divide the red values together, the green values together, etc like so
2.5/2 = 1.253.75/3 = 1.255/4 = 1.256.25/5 = 1.252.5/2 = 1.255/4 = 1.25I started with the stuff in red, moved to stuff in green, working clockwise around each figure. We get the same result each time, so it seems to suggest we have similar figures. Again, we have to assume the angle measures are the same for the two figures to officially be considered similar.
Consider function h. Complete the statements describing the y-values of function h.
1. The end behavior of function h is described by (an oblique, no, or absolute) asymptote.
2. The range of function h is all y-values (less than or equal to 4,1,-4, or 0) and (greater than 1, 0, -4, or 4)
Answer:
1) The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.
2) The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.
Step-by-step explanation:
1) The end behavior of the function is defined by a horizontal asymptote, that is the values of [tex]y[/tex] when [tex]x[/tex] tends to [tex]\pm \infty[/tex]. Answer: The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.
2) The range of the function is the set of values of [tex]y[/tex] associated with the function. The existence of two vertical asymptotes give the following solution for the range: [tex]Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty)[/tex] Answer: The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron's sketch? 36 48 81 84
Answer: 36 inches
Step-by-step explanation:
From the information given in the question, we are informed that Yuron is sketching a scale drawing of a famous painting and that the painting is 54 inches wide and 72 inches long.
We are further informed that he used a scale factor of ⅔ to make his sketch, then the measure of the width of the sketch will be ⅔ of the original width and this will be:
= ⅔ × 54 inches
= 36 inches
The width of Yuron's sketch is 36 inches.
How many inches wide is Yuron's sketch?
We know that the original painting is 54 inches wide and 72 inches long, and Yuron makes a sketch that uses a scale of 2/3 of the original dimensions.
Then the width of Yuron's sketch will be 2/3 times the original width:
W = (2/3)*54 inches = 36 inches.
The width of Yuron's sketch is 36 inches.
If you want to learn more about scales, you can read:
https://brainly.com/question/15891755
Please help. It’s a multiple choice question. I’ve my answer, but I’m not sure.
Answer:
66 degree
Step-by-step explanation:
given:
angle FAB = 48 degree
angle ECB = 18 degree
in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.
so angle H = 48 degree
in triangle HBC
angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)
48 + 18 = angle ABC
66 = angle ABC
Can y’all please help me which equation has an infinite number
Answer:
B
Step-by-step explanation
: )
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
11, 8, 11?
A.10
B. 11
C. 12
D. none of the above
Answer:
11
Step-by-step explanation:
mode is the number that is most frequent
11
Answer:
11
Step-by-step explanation:
Mode means the highest repeated observation in the data set,
Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set
Put these numbers in order from greatest to least.
0.32,1/2,0.66, and 0.45
Perform the transformations
Evaluate
tan 332°30'
Cos 229°47'
and sec(-38°22')
HELPPP
The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions
Answer:
no solution
Step-by-step explanation:
y = x+1 and y = x + 2 don't touch because they are parallel
if you don't know what parallel means, just search it up, but i can explain it to you:
parallel means same slope or same steepness of line
HELP HELP HELP HELP HELP HELP
Answer:
148 Degrees
Step-by-step explanation:
32-180=148
148+32=180
how many joules of work are done against a cart when a force of 50N pushes it 1000m anway
Dr. Cal Coolis wants to determine which of three e-learning packages leads to the most improvement in mathematical ability. Sixty high-achieving students from a local school volunteer to test the software. Twenty randomly chosen students use each package for six months, after which their improvement in mathematical ability is measured and compared. In designing this experiment, Dr. Coolis violated the guiding ethical principle of
Answer: justice
Step-by-step explanation:
The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.
In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.
Solve the following system:
-2x + 2y + z = 14
3x – 2y +z = -5
-x + y - 2z = -8
PLEASE HELP
Answer:
Read explanation
Step-by-step explanation:
Use elimination
Add them all up
y = 1 ( everything else cancels )
-2x + 2(1) + z = 14
3x - 2(1) + z = -5
-x +(1) - 2z = -8
simplify
-2x + z = 12
3x + z = -3
-x -2z = -9
U can't use elimation because it would turn into 0 = 0
change last equation
x + 2z = 9
x = -2z + 9
plug that in
-2(-2z+9) + z = 12
3(-2z+9) + z = -3
-(-2z+9) - 2z = -9
4z - 18 = 12
-6z + 27 + z =-3
2z - 9 - 2z = -9
simplify
4z = 30
-5z = -30
0 = 0
z = 6
y = 1
x = -3
please help me guys I am in trouble
You will take a test with multiple choice questions and short answer questions. The multiple choice questions are worth 1 point and the short answer questions are worth 3 points. There is a total of 100 points on the test and 70 total questions. How many questions of each type? Set up a system and solve. Let x = number of multiple choice questions and y = number of short answer questions.
9514 1404 393
Answer:
15 short answer (3 points)55 multiple choice (1 point)Step-by-step explanation:
Your system of equations will be ...
x + y = 70 . . . . . . . there are 70 total questions
x + 3y = 100 . . . . . there are 100 total points
__
We can use the first equation to write an expression for x that can be substituted into the second.
x = 70 -y
(70 -y) +3y = 100
70 +2y = 100 . . . . . . collect terms
2y = 30 . . . . . . . . . . subtract 70
y = 15 . . . . . . . . . . . divide by 2
x = 70 -15 = 55
The test has 15 short answer questions and 55 multiple-choice.
Assignment
1
Which is rational?
a. 64
b. 17
C. 67.714819...
22. Which is irrational?
a. 75.106
c. 101
Identify each of the following as Rational or Irrational.
3 -42
4 65.4279
5
98
16
6
25
7 57.013013..
8
18.44333777...
9
-139.04
24
10
A gallon of paint covers 400 square feet. How many square feet will 2 __ 3 8 gallons of paint cover?
Answer:
2 gallons of paint
Step-by-step explanation:
If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.
By knowing this, you can just make up your own expression
(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)
Hoped this helped you :3
Answer:
30,400 sq ft
Step-by-step explanation:
1 gallon = 400 sq ft
2×38=76 gallons
76×400=
30,400sq ft
HELLPPP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
The Letter B
Which inequality is true? Please help!
Answer:
second one
Step-by-step explanation:
4[tex]\pi[/tex] = 12.56
that's greater than 12
Help me thanks bsbsbs
Answer:
4.56, 4,65, 5,46, 5.64, 6.45 and 6.54
Step-by-step explanation:
start with the whole number and find the smallest one!
It would be 4 then find the number with the smallest amount
Keep doing this to all of the numbers
pls explaing by tep by step
Answer:
a = 3
Step-by-step explanation:
If (x+3) is a factor of f(x) = x³+ax²+x+3,
From remainder theorem,
When we substitute -3 into the expression, we equate to zero
That is,
F(-3) = 0
(-3)³+a(-3)²+(-3)+3 = 0
-27+9a-3+3 = 0
9a = 27
divide both sides by the coefficient of a
a = 27/9
a = 3
Hence the value of a = 3
Find the volume of this sphere.
Use 3 for TT.
Using the formula shown replace r with 11 and pi with 3:
Volume = 4/3 x 3 x 11^3
Volume = 5,324 in^3
For EASY BRAINLIEST!!!
Answer that question
Step-by-step explanation:
my answer is in the image above
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Answer:
27583.78 s
Step-by-step explanation:
Use the orbit equation to get v, then v=distance/time to get time.
Correct on Acellus
What is the product on this Brainly test
Answer:
I have no clue to be honest
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
============================================================
Explanation:
Point H is at (-2,2) and J is at (4,-2)
Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.
The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.
The midpoint is at (1,0). That's why the answer is choice C.
--------------------------
This next section is optional.
Points I and K are located at (4,3) and (-2,-3) respectively
Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1
Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0
We end up with the same midpoint (1,0)
The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.
Answer:
C is the correct answer
Step-by-step explanation: