The point of intersection is the point where two or more functions meet.
The graphs of the hyperbola and ellipse have 0 point of intersection
The given parameters are:
[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]
To determine the points of intersection, we simply equate both equations.
So, we have:
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]
Cancel out the common terms
[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]
Collect like terms
[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]
[tex]\mathbf{5y^2= - 5y }[/tex]
Divide through by 5
[tex]\mathbf{y^2= - y}[/tex]
Divide through by y
[tex]\mathbf{y= -1}[/tex]
The system of equation does not give room to calculate the x-coordinate at the x-axis.
Hence, the graphs of the hyperbola and ellipse have 0 point of intersection
Read more about points of intersection at:
https://brainly.com/question/13373561
Answer: 0
Explanation: Took the test
7556 divided by 3
Answer:
The answer is 2518.66666667.
Step-by-step explanation:
Answer:
If you meant 7556 divided by 3, then the answer is 2518 2/3
Step-by-step explanation:
PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM
Use the function f(x) = 2 sin x-1 to identify the following.
A. amplitude =
B. period =
C. midline=
Answer:
See below for answers
Step-by-step explanation:
Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?
Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].
Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].
Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.
A can of juice has a radius of 5 inches and a height of 8 inches. What is the volume of the can?
Answer:
use your formula and plug it in and solve it
Step-by-step explanation:
What’s the difference between length and dimension? pls provide some examples too.
Answer:
length is longer
Step-by-step explanation:
length is llonger than dimensions
Answer:
length, is how tall it is....... dimensions is like lenght width and depth
Step-by-step explanation:
a line going up would eb the length,
dimentsions....l lengths...._ width ..... depth /
23 points!!!!!!
If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.
2.5 cm
2 cm
1 cm
4 cm
Answer:
2.5cm and 4cmStep-by-step explanation:
According to Triangle Inequality Property:
Measurement of any two sides of the triangle should be greater than the third side
So,
For 2.5,
6 + 4 = 10 > 2.5
4 + 2.5 = 6.5 > 6
6 + 2.5 = 8.5 > 4
For 4,
6 + 4 = 10 > 4
4 + 6 = 10 > 4
4 + 4 = 8 > 6
While for 1 and 2,
4 + 1 = 5 < 6
and
4 + 2 = 6 = 6
Hence,
Only 2.5 and 4 are the possible measurements.
Find the area of the triangle
Answer:
32
Step-by-step explanation:
because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32
Am I correct?
Please please please help this is due tommorow and if you help you will have good luck
Answer:
yes
Step-by-step explanation:
Type the correct answer in each box. Round your answers to the nearest dollar.
These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:
R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391
The maximum profit of $ Blank
can be made when the selling price of the dog food is set to $ Blank
per bag.
there are two answers
Answer:
$10,277.32
Step-by-step explanation:
Given the revenue and cost function
R(x) = -31.72x^2 + 2,030x
C(x) = -126.96x + 26,391
The profit function is expressed as;
P(x) = R(x) - C(x)
P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,156.96x - 26,391
To have maximum profit, d
The maximum profit dP/dx = 0
dP/dx = -63.44x+2156.96
-63.44x+2156.96=0
63.44x = 2156.96
X = 2156.96/63.44
x = 34
Get the profit
P(34) = -31.72(34)² + 2,156.96(34)- 26,391
P(34) = -36668.32+73336.64-26391
P(34) = 10,277.32
Hence the maximum profit that can be made is $10,277.32
Anyone know how to do this?
Answer:
60.22in^2.
Step-by-step explanation:
First, find the area of the rectangle. 14.1x7=98.7.
Then, we need to find the area of the circle and subtract it from the area of the rectangle.
The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).
Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.
Find rectangle area: 14.1 x 7 = 98.7
Find areas of semicircles: a = 3.14(3.5)^2 = 76.96
Subtract area of semicircles: 98.7 - 76.96 = 21.74
Given f(x) = 3x2 + kx + 19, and the remainder when
f(x) is divided by x + 3 is 37, then what is the value of k?
Answer:
[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]
A point (–2, 6) is translated 4 units up. What are the coordinates of the new point?
Answer:
(-2,10)
Step-by-step explanation:
In a bag, there are 16 marbles: 4 green, 2 yellow, 9 orange, and 1 blue. What is the probability of randomly choosing a green marble?
Answer: 4/16 or 1/4 (simplified)
Answer:
1/4
Step-by-step explanation:
put # of green over total # of marbles in bag
4/16 and simplify by dividing both by 4
1/4
Can yall pls answer just number 2 for me pls Its due late and im rlly tryna make up my work ill definetly give brainliest just pls : (
Answer:
24y + 16
Step-by-step explanation:
If your searching for number 2 itself, the answer will be 24y + 16, because because you have to multily whats out of the brackets by whats in the brackets. 3y+2 is in the brackets so 8 times whats in the braackets gives u the answer.
A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground, what is the angle that the telephone pole makes with the ground?
Answer:
45°
Step-by-step explanation:
made a special triangle 45-45-90,
Answer:
45.6 degrees
Step-by-step explanation:
see image
Help please...NO LINKS
1, 3, 5, 7,...
Find the 50th term of the sequence.
Answer:
99
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99
Just go up 2 numbers 50 times
Jimmy buys 5 notebooks that each cost the same amount and 1 binder that costs $7.50. The total cost is $18.75. How much does each notebook cost?
Choices:
A. $2.25
B. $5.24
C.$2.52
D.$3.80
Answer:
A. $2.25
Step-by-step explanation:
If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.
Hope this was useful.
Answer:
The answer would be $2.25
Step-by-step explanation:
If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75
What would be formed by a cross-section parallel to the base of a octagonal pyramid?
A. octagon
B. circle
C. trapezoid
D. triangle
Answer:
A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.
the locus of points in a plane
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
Answer:
y = 1.
Step-by-step explanation:
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
LAST QUESTION!!!!!!!!!!!
segment AB had a mid point at (-1,-1). point A coordinates (3,2). what are the coordinates of B?
Answer:
Just put the opposite coordinates on the other side of the segment and thats your answer!
Step-by-step explanation:
what is the next term of the geometric sequence?
WILL MARK BRAINLIEST
Answer:
-12
Step-by-step explanation:
I believe they multiply each term by -3/1
4/1 * -3/1 = -12/1 = -12
36abc + 54ad = ? im struggling with math
Answer:
18a(2bc+3d)
Step-by-step explanation:
36abc + 54ad = ?
Rewrite as ;
=2*18abc+3*18ad
Factor out common term 18a
18a(2bc+3d)
I HOPE THIS HELPED!!!
What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.
Answer:
The alternative hypothesis is; Hₐ;
[tex]\hat p[/tex] > 60%
Step-by-step explanation:
The given hypothesis of the number of Americans that vote in the presidential election is;
Hypothesis; At most 60% of Americans vote in the presidential elections
Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%
The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =
The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%
Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.
Can somebody help meeeeeeee
Answer:
C is the answer
Step-by-step explanation:
Answer:
It's C
Step-by-step explanation:
PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?
Answer:
Step-by-step explanation:
Assuming the parking lot is along both widths of the field and only once along the length:
the length is (300 - 2x)
the width is (200 -x)
the area is (300-2x)(200-x) = 30000
60000 -300x - 400x +2x^2 = 30000
2x^2 -700x + 30000 = 0
x^2 - 350x + 15000 = 0
(x - 300 )(x - 50 ) = 0
x = 300 or x=50
x=300 results in negative measures.
the parking lot is x=50 wide
the length of the field is 200, the width of the field is 150
Let A be the set of cities in the U.S.A., and let B be the set of the 50 states in the U.S.A. Define the relation R by specifying that (a, b) belongs to R if a city with name a is in the state b. For instance, (Boulder, Colorado), (Bangor, Maine), (Ann Arbor, Michigan), (Middletown, New Jersey), (Middletown, New York), (Cupertino, California), and (Red Bank, New Jersey) are in R.
Yesterday, there were 100 problems assigned for math homework. Deb did 70% of them
correctly. How many problems did Deb get right?
problems
Submit
Worltout
Answer:
70 problems are correct
Step-by-step explanation:
convert five whole five over eight from fraction to decimals
Answer:
5.625 is the correct answer to convert five whole five over eight from fraction to decimals.
Step-by-step explanation:
=5/8+5
=0.625+5
=5.625#
The distance between second and third bases on a regulation baseball field is 90 feet. Scott says he needs to multiply to find the number of yards between the second and third bases. Do you agree? Support your answer
Answer:
Yes, distance in yards can be obtained by multiplication.
Step-by-step explanation:
Given that the distance between tow points is 90 feets, The distance between these two points in yards can be obtained either by multiplication or division.
I foot = 0.3333 yards
To convert distance between the second and third bases from feet to yard ;
Multiply distance in feets by 0.3333 to obtain the corresponding distance in yards ;
90 * 0.3333 = 29.997 = 30 yards
7x + 2y - 3 = 0 in slope intercept form.
Answer:
y=(-7/2)x+3
Step-by-step explanation:
7x+2y-3=0
7x+2y=3
2y=-7x+3
y=(-7/2)x+3
Answer:
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )
2y = - 7x + 3 ( divide each term by 2 )
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form