We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.
We will see that it is the equation of the ellipse.
Now let's see why that is the correct answer.
The general conic equation is of the form:
[tex]A*(x - a)^2 + B*(x - b)^2 = R^2[/tex]
Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.
For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.
If we write:
A = 1/C
B = 1/K
(both are positive, because "it has two squares with the same signs").
Then we get the equation:
[tex]\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2[/tex]
We get the equation we wanted.
The same sign in both square parts and different leading coefficients.
The above equation is the general equation of an ellipse.
If you want to learn more, you can read:
https://brainly.com/question/10311514
Hi, need help on this please, will give 5 stars and a thanks if you get it correct (:
Answer:
Move the decimal point in 407.26 three places to the left = 0.407283
Step-by-step explanation:
Answer:
3, left
Step-by-step explanation:
When you're dividing a number by any power of 10 that is a whole number (10, 100, 1000, etc.), you move the decimal point to the left as many times as there are zeroes in the digit.
Examples:
30.22 ÷ 100 = 0.3022
There are two zeroes in 100, so move the decimal point two spaces to the left.
568.9 ÷ 10000 = 0.05689
There are four zeroes in 10000, so move the decimal point four spaces to the left.
The given equation in the problem is 407.26 ÷ 1000, so you move the decimal point 3 spaces to the left to find the correct answer.
If 1040-x=3y and x-880=y what is y
HELP FAST
y = x - 880 ==》 x = y + 880 ( ☆ )
_________________________
3y = 1040 - x =☆=》 3y = 1040 - ( y + 880 )
====》 3y = 1040 - y - 880
====》 3y + y = 1040 - 880
====》 4y = 160
====》 y = 160 ÷ 4
====》 y = 40
What is 98,248 written as a number name?
Answer:
ninety eight thousand two hundred forty eight
Answer:
Ninety-eight-thousand-and-two-hundred-and-forty-eight
Step-by-step explanation:
The following chart shows the number of concert tickets sold and the profit earned. Find an equation that defines the profit with respect to the number of tickets sold.
Tickets Sold Profit (dollars)
50 100
100 250
150 400
200 550
1.) P = 2T
2.) P = 3T + 50
3.) P = 2T – 50
4.) P = 3T – 50
Answer:
it's 4
Step-by-step explanation:
because
let's say
a. P = 100
T = 50
P = 3T - 50
= 3(50) - 50
= 150 - 50
= 100
and the same for the others
The equation of the profit will be P = 3T – 50. Then the correct option is 4.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The following chart shows the number of concert tickets sold and the profit earned.
Tickets Sold Profit (dollars)
50 100
100 250
150 400
200 550
The equation that defines the profit (P) with respect to the number of tickets sold (T) will be
m = 250 – 100 / 100 – 50
m = 150 / 50
m = 3
Then the equation will be
y = 3m + c
For T = 150, P will be 400.
400 = 150 x 3 + c
400 = 450 + c
c = –50
Then the equation of the profit will be
P = 3T – 50
Then the correct option is 4.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ5
A coin is tossed and a die is rolled. What is the probability of tossing heads and rolling either a 5 or 6?
Answer:
The probability of tossing heads and rolling either a 5 or 6 is possible (or unlikely). This because the probability of tossing heads is 1/2 and the probability of rolling a 5 or 6 is 1/6 so combined would be unlikely.
A figure has been dilated from center O by a scale factor of r = 3/10 scale factor would magnify the dilated figure back to the original size?
Answer: The new scale factor needs to be 10/3
Explanation:
Consider a line segment that is 10 units long. Apply the scale factor 3/10 to it, and now it's 3 units long because (3/10)*10 = 3.
To get it back to 10 units, we multiply by the scale factor 10/3 which is the reciprocal of the original scale factor. Note that (3/10)*(10/3) = 1. Those two scale factors multiply to 1 to indicate no change has been made overall.
So what’s the easiest way to get the answer? 80 = 720 divided by?
Answer:
57,600
Step-by-step explanation:
720 * 80 = 57,600
Answer:
9
Step-by-step explanation:
You divide the answer with the first number and you'll get the answer, 9.
At a fabric store, 3 yards of fabric cost $18.50. If Terry needs 5 yards, how much will she pay? Round to the nearest cent.
Answer:
answer = $30.85
Step-by-step explanation:
3 yards of fabric = $18.50 so 18.50 : 3 = 6.17 (dollars) for one yard of fabric the, just multiply it by 5, 6.17 x 5 = 30.85 dollars
PLZ HELP ME!! GUYS i need help on my homework!!
Answer:
The answer is 24
Step-by-step explanation:
Answer:
The answer is 24 or D
Step-by-step explanation:
Well, first you need to figure out the equation in these [ ].
[-5 (2-4) ÷ 2]
[-5 (-2) ÷ 2] ---> -5(-2) = -5 x -2
[10 ÷ 2]
[5]
Then, you need to complete the equation in these { }
{3+[5]} OR {3+5}
{8}
Then, you need to finish the equation!
{8} · 3 OR 8 x 3
24__________________________
Hope this helped!
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary,
$7.30 is what percent of $58.20?
In accordance with the query, we have 12.6% of $58.20. The closest tenth of one percent.
What percentage is 20%?It really is 100 * 20 / 100 = 20percent . In this circumstance, percentages are useful. When describing a change from one % to another, we use percentage points. The difference between 10% and 12% is four percent respectively (or 20 percent).
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary, we have following :
$7.30 is what percent of $58.20.
rate = (7.30 / 58.20) * 100
rate = 0.126034483 * 100 = 12.6%
Rounding to the nearest tenth of a percent, the rate is 12.6%.
So $7.30 is 12.6% of $58.20.
To know more about Percent visit :
https://brainly.com/question/28670903
#SPJ1
Help asap please.. Brainliest to correct!
Answer:
Step-by-step explanation:
x + 6 I x³ + 2x² - 10x + 84 I x² - 4x + 14
x³ + 6x²
- -
-4x² - 10x
-4x² - 24x
+ +
14x + 84
14x + 84
- -
0
P(x) =(x +6)* ( x² - 4x + 14) + 0
Why do people hate math?
Help Asap! I will give brainliest
Through (4, -3); perpendicular to 3y = x-6
Answer:
its=> 3×4=-3-6(use a caculator now)
What is the slope of the line that passes through
the points (1, -3) and (4. 2)?
A. 5/3
B. 3/5
C. -3/5
D. -5/3
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{2+3}{4-1} \\\frac{5}{3}[/tex]
So the slope is 5/3
Hope this helps you!
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
Suppose that P(A) = 0.42, P(B) = 0.5, and events A and B are independent.
What is P(A and B)? Do not round your answer.
O 0.05
O 0.21
0.275
O
0.95
Answer:
.21
Step-by-step explanation:
Just took on Edge
The value of P(A and B) = 0.21
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
P(A) = 0.42, P(B) = 0.5
As, events A and B are independent.
so, P(A and B)
= P (A) . P(B)
= 0.42 x 0.5
= 0.21
Hence, the value of P(A and B) = 0.21
Learn more about Probability here:
https://brainly.com/question/11234923
#SPJ2
Find x ASAP you’ll get lots of points
Answer:
x=4
Step-by-step explanation:
Its an equilateral triangle so all angles and side lengths are the same.
2x-1=x+3
x=3+1
x=4
checking the work
4+3=8-1
7=7
Please Help as soon as Possible. I will give brainliest! thank you.
Answer:
The slope is -5/3.
The y-intercept is (0,10).
Step-by-step explanation:
1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Since -5/3 is in the place of m, the slope, that makes -5/3 the slope.
3. The y-intercept of a graph is the point where the graph intersects/crosses the y-axis. The x-coordinate of a point in any y-intercept will ALWAYS be 0.
4. Since 10 is in the place of b, the y-intercept, and given the information above, the y-intercept is (0,10).
For the following line, one endpoint and midpoint is given. Find the
other endpoint.
Line EF given E(-6,-5) and Mef(-2,6).
lo
Answer:
ewan ko sayo tanong ka sa mama mo
Hello! I really need help on these two questions please!
Answer:
1. y-4=1/3(x-3)
used (3,4)
2. y-7=3(x-3)
used (3,7)
solve 3/4 h - 12= 8 5/8
Answer:
27 1/2
Step-by-step explanation:
8 5/8 + 12 = 20 5/8
3/4h = 20 5/8
Divide 20 5/8 by 3/4 = 27 1/2. Therefore h = 27 1/2.
Answer:
h=55/2
Step-by-step explanation:
3/4h-12=69/8 simply 8 5/8
+12. +12. add 12 to each side
multiply each side by 4/3
h=55/2 or 27 1/2
plz help me i really need help these problems are really hard for me to understand so if anybody helps it would be highly appreciated
Answer:
51.5; the originStep-by-step explanation:
TranslationFor the translation find the distance between corresponding points of A and A'. It is 5 units.
DilationWe see the figures A' and A'' are symmetrical and the sides on the x-axis overlap. It means the center of dilation is the origin, the point (0, 0).
Find the scale factor by dividing the corresponding x- or y- coordinate of A'' to the one of A'.
Take points (-2, 0) of A' and (-3, 0) of A''.
The scale factor is:
k = -3/-2 = 1.5please help
the answer is not 16
Answer:
18
Step-by-step explanation:
1 litre is approximately 1.75 pints 1 gallon = 8 pint calculate the approximate number of gallons that are equal to 48 000cm^3
Answer: 27428.571
Step-by-step explanation:
i just divided 1 by 1.75 then timesed it by 48000
Solve 31-X + (2 x + 1)] = x - 1.
Answer:
x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)
Step-by-step explanation:
31 - X + (2x+1) = x - 1
or, 2x+1 = x - 1 - 31 + X
or, 2x - x = -1 -31 + X -1
or, x = -2 -31 + X
or, x = X - 33
MULTIPLE CHOICE:
Jen and David owe $21,000 in loans for their two cars. The amount of the loan for Jen's car is $2,000 less than twice the amount of the loan for David's car. How much is each car loan? (Let j represent the amount of Jen's loan and let d represent the amount of David's loan.)
A. d + j = 21,000
2d − 2,000 = j
B. j + d = 21,000
2j − 2,000 = d
C. j + d = 21,000
2j + 23,000 = d
D. j + d = 2,000
2j − 21,000 = d
E. d + j = 2,000
2d − 21,000 = j
9514 1404 393
Answer:
A. d + j = 21,000; 2d − 2,000 = j
d = $7,666.67; j = $13,333.33
Step-by-step explanation:
The relationships given in the problem statement are ...
d + j = 21,000 . . . . . the total of the two loans is $21,000
2d -2000 = j . . . . . . Jen's is $2000 less than twice David's
__
These equations can be solved by substituting for j:
d +(2d -2000) = 21000
3d = 23000 . . . . . . . . . . . add 2000, collect terms
d = 23000/3 = 7666.67 . . . divide by the coefficient of d
j = 21000 -d = 21000 -7666.67 = 13333.33
Jen's loan is $13,333.33; David's loan is $7,666.67.
what is the slope of (29,11) and (-3,-7)
Answer:
The slope is [tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.
The slope can be calculated from two points with the slope formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
We have two points given, but let's label their values to avoid any confusion when we actually calculate:
[tex]x_1=29\\y_1=11\\x_2=-3\\y_2=-7[/tex]
Now substitute into the formula (m is the slope).
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-7-11}{-3-29}[/tex]
Subtract
m=[tex]\frac{-18}{-32}[/tex]
Reduce the fraction
m=[tex]\frac{9}{16}[/tex]
The slope is [tex]\frac{9}{16}[/tex]
Hope this helps!
Solve the following inequality: -3x > 6 or 2x + 3 > 9
Answer:
I think the first one is x < 2 and the second is x > 3
Give the slope of the graph and the unit rate. Express your answers as simplified fractions, if necessary.
Jorge: 5 miles every 7 hours
Answer:
The slope of the graph is 7/10
the area of a triangle is 54cm². if the height of the triangle is 6cm, find it's base.
Answer:
18cmStep-by-step explanation:
triangle area = b*h/2
base = 2*area : h
2 * 54 : 6 =
18
-------------------------------------
18*6:2= 54
the answer is good