The equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
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Directrices at [tex]x = \pm 2[/tex]Foci at [tex]x = \pm 4[/tex]They are both in the x-axis, and the center is (0,0), which means that the equation is:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex] means that:
[tex]\frac{a^2}{c} = 2[/tex]
-----------------------------------------
Foci at [tex]x = \pm 4[/tex] means that:
[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]
Thus:
[tex]a^2 = 2c = 2(4) = 8[/tex]
-----------------------------------------
For b, we have that:
[tex]a^2 + b^2 = c^2[/tex]
[tex]8 + b^2 = 16[/tex]
[tex]b^2 = 8[/tex]
-----------------------------------------
Thus, since a and b have been found, the equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
A similar problem is given at https://brainly.com/question/20409089
What is a simpler form of the following expressions?
(7m2 - 5)(7m2 + 5)
(This is a rushed one so pls help?)
Answer:
49m^4 - 25
Step-by-step explanation:
The simpler expression can simply be found by expanding
The kind of expansion we have here is the difference of two squares
(a + b)(a-b) = a^2 - b^2
Thus, we have it that;
(7m^2-5)(7m^2 + 5)
=
49m^4 - 25
Explain ASAP PLEASE!!!!!!
Answer:
C
Step-by-step explanation:
you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base
the bases of the triangle would be 2 and 5
so that gives sqrrt 29
What type of triangle is this
Answer:
isosceles
Step-by-step explanation:
Answer:
An isosceles
Help quick!!!
What is the distance between the following points:
A ( 25,20 ) B ( 5, 20 )
Answer:
(20,0)
Step-by-step explanation:
I think that's it sorry if I am wrong:(
Will Mark Brainliest
Solve each system by elimination. Show your work
3х – 10 y = 14
3х – 9y = 15
Answer:
subtracting both equations
3x-10y=14
3x-9y=15
- - =-
_________
0-y=-1
y=1
then putting the value of y in first eqn
3x-10×1=14
3x=24
x=8
so x is 8and y is 1
In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.
34.23 times one year is ....
Answer:
410.76
Step-by-step explanation:
34.23 * 12= 410.76
1 year = 12 months
Tisha wants to plant a garden in the widest corner of her triangular backyard. The backyard is bordered by
the back of the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest measure?
Answer:
in think it's fence b okm
Enter your answer and show all the steps that you use to solve this problem in
the space provided.
The two figures shown above are congruent. Identify the corresponding sides and
angles.
Answer:
Step-by-step explanation:
they're the same figure but turned 90 deg
congruent sides:
AD and RQ
BA and SR
BC and SP
PQ and CD
congruent angles:
D and Q
R and A
B and S
C and P
haven't done this in a minute sorry if this is wrong
what is the slope of the line?
Find the value of x that makes m || n
Answer:
x = 60
Step-by-step explanation:
if m and n are parallels, that means that x and 2x would be same side interior angles.
same side interior angles add up to 180
x + 2x = 180
3x = 180
x = 180/3
x = 60
From the graph shown, what is an approximate solution of the system of equations?
PLEASE HELP ASAP!!!!!!!
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1 \frac{1}{2} * \frac{3}{4}}{2}=\frac{9}{16}[/tex]
What is the difference between a system of equations and a system of inequalities?
Expressions can be expressed as equations or as inequalities.
The difference is that the variables in a system of equation have one solution each, while in a system of inequalities, the variables have a range of values.
Let the system of equation be:
[tex]\mathbf{ax + by = c}[/tex]
[tex]\mathbf{dx + ey = f}[/tex]
Let the system of inequality be:
[tex]\mathbf{ax + by < c}[/tex]
[tex]\mathbf{dx + ey > f}[/tex]
Both systems can be solved using the same method, such as: graphs, substitution and elimination.
However, the difference is that:
In a system of equation, the variables can have one solution each, while in a system of inequalities, the variables have a range of values.
Read more about system of equations and inequalities at:
https://brainly.com/question/11476486
3. Abdoul has $100 in his bank account and he adds $50 each month.
Answer:
$600
Step-by-step explanation:
Multiply 50, 12 times, you get 600. Add 100, and you get 700.
Answer is $700
A group of seven friends went out for dinner together and they each paid the same amount for their meal. Their total bill was $68.95 what was the cost of one meal
Please answer I really need it <3
Answer:
9.85
Step-by-step explanation:
$68.95 Divided by seven friends = 9.85
You're Welcome :D
Solve for X.
x+3
4
8
Answer:
First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"
Work out the area of this circle with radius 11.2 take pie to be 3.142 and give your answer to 2 decimal places
Answer:
394.13 to 2 D.P.s
Step-by-step explanation:
Area = pi r^2
= 3.142 * 11.2^2
= 394.132.
The area of this circle up to 2 decimal places will be 394.13 square units.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of the circle is 11.2 units and takes π to be 3.142. Then the area is given as,
A = π x (11.2)²
A = 3.142 x 125.44
A = 394.13 square units
The area of this circle up to 2 decimal places will be 394.13 square units.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
#SPJ5
Classify the triangles as acute obtuse or right
Answer:
Acute
Obtuse
Right
Acute
Step-by-step explanation:
To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:
Let a and b be the shorter sides, c be the longest side.
If a^2+b^2 > c^2, then the triangle is acute.
If a^2+b^2 = c^2, then the triangle is right.
If a^2+b^2 < c^2, then the triangle is obtuse.
Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?
Answer:
18%
Step-by-step explanation:
63/350 × 100 = 18
hope this helps
Will mark as brainliest
Answer:
p = 1
Step-by-step explanation:
Δ JKH ≅ Δ JIH
therefore KJ corresponds with IJ so you can set both sides equal to each other
10p = p+9
9p = 9
p = 1
Let u=-4i-5j and v=3i-6j
Solve the following proportion for u.
3/17 = u/13
Answer:
2.294117647
Step-by-step explanation:
3/17 = u/13
Cross multiply:
3 * 13 = 17 * u
Simplifying
3 * 13 = 17 * u
Multiply 3 * 13
39 = 17 * u
Solving
39 = 17u
Move all terms containing u to the left, all other terms to the right.
Add '-17u' to each side of the equation.
39 + -17u = 17u + -17u
Combine like terms: 17u + -17u = 0
39 + -17u = 0
Add '-39' to each side of the equation.
39 + -39 + -17u = 0 + -39
Combine like terms: 39 + -39 = 0
0 + -17u = 0 + -39
-17u = 0 + -39
Combine like terms: 0 + -39 = -39
-17u = -39
Divide each side by '-17'.
u = 2
Simplifying
u = 2.294117647
Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().
Answer:
We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]
We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))
We would simply subtract f(x) and g(x)
[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]
So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
find the equation of the line shown
Answer:
[tex]y = - 1x + 9[/tex]
Step-by-step explanation:
Remmeber:
[tex]Slope = \frac{rise}{run} [/tex]
Find:-
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree
Given :
Some angles in degree.
To Find :
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree
Solution :
We know, two angles are complement when their sum is 90 degree.
1) Complement of 75 degree is, 90 - 75 = 15 degree.
2) Complement of 40 degree is, 90 - 40 = 50 degree.
3) Complement of 71 degree is, 90 - 71 = 19 degree.
4) Complement of 101 degree is, 90 - ( -101 ) = 191 degree.
Hence, this is the required solution.
This is some question pizza circles in math
Step-by-step explanation:
Diameter : 10
Radius : 5
Area :
[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]
Diameter: 18
Radius : 9
Area :
[tex]\pi {9}^{2} = 254.47[/tex]
Diameter: 11
Radius: 5.5
Area:
[tex]\pi {5.5}^{2} = 95.03[/tex]
Diameter: 12
Radius : 6
Area:
[tex]\pi {6}^{2} = 113.09[/tex]
Factor each polynomial: 9x-6
Answer:
3(3x−2)
Step-by-step explanation:
CAN YOU PLEASE HELP ME!!....
Answer:
I have no idea sorry :c
Step-by-step explanation:
Could you help me on this, I need to submit soon as well :)
Answer:
6
Step-by-step explanation:
Answer: 9
Step-by-step explanation: