Answer:
Step-by-step explanation:
x²/a² - y²/b² = 1
center (0,0)
vertex (3,0), so a = 3
focus (9,0)
e = 9/a = 3
directrices: x = ±a/e = ±1
The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
What is the general equation of hyperbola?The general equation of the hyperbola is in the form of
x²/a² - y²/b² = 1
We have been given center (0,0)
vertex (3,0),
so a = 3
focus (9,0)
So, e = 9/a = 3
The equation of directrices:
x = ±a/e = ±1
Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
Learn more about hyperbola here:
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quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
It is not multiple choice
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.
The system of equations 2y = 14 - 2x and y=-x+ 7 is
graphed. What is the solution to the system of equations?
yt
14
13
12
(0,-7)
11
10
9
(0,0)
8
7
6
2y = 14 - 2x
y = -x + 7
infinitely many
solutions
5
4
3
2.
1
no solution
0
0 1 2 3 4 5 6 7 8 9 10 11 12 x
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
2y = 14 - 2x y = -x + 7Divide the first equation by 2 and rearrange:
2y/2 = 14/2 - 2x/2y = 7 - xy = -x + 7We got the same equation with the second one. It means we have two of the same lines overlapping.
This gives us infinitely many solutions.
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
Work out the percentage change to 2 decimal places when a price of £200 is increased to £210.99.
Answer:
Let percentage be x%
According to the question
200+x%of 200=£210.99
X%of 200=£210.99-200
X/100×200=10.99
X=10.99/2=5.495% is required percentage.
Step-by-step explanation:
The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?
Answer:
4 teachers for 28 students
Step-by-step explanation:
28/7 = 4
The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now?
Answer:
$21 is the correct answer
Answer:
Step-by-step explanation:
First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35
0.35 (40) = 14
35 - 14 = 21
So, the discounted price is now $21.
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
I NEED HELP ASAP
FIND THE VALUE OF X IN THE FOLLOWING FIGURE
Answer:
x= 8
90+40=130
180-130=50
50-2=48
48/6=8
MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE
Answer:
54
Step-by-step explanation:
2/3(7-16)^2
2/3(-9)^2
2/3*81
54
Just wondering does anyway else do vava? 8th grade
Answer:
I have heard of it but I myself do not
Answer:
What's vava just wondering also your in 8th grade?
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
2(3x - 32y) + 3(-2x - 4y)
The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?
Answer:
[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]
I need help please!!
2x + 3x + 3x + 12 = 180° [Sum of all angles of a triangle is 180°]
=> 7 x = 180° - 12°
=> 7 x = 168°
=> x = [tex]\frac{168}{7}[/tex]°
=> x = 24°
[tex]\\[/tex]
? = 2x + 3x
=> 2×24° + 3×24°
=> 48° + 72°
=> 120°[tex]\\\\\\[/tex]
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
Solve for x (use steps i need to learn this pls)
Answer:
x = 14
Step-by-step explanation:
The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:
24*x = 21*16
24x = 336
Divide both sides by 24
24x/24 = 336/24
x = 14
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer:
299.25
Step-by-step explanation:
Im pretty sure this is correct!!
Answer:
$100
Step-by-step explanation:
399.99 * 0.25 = 99.9975 (100)
399.99 - 100 = 299.99
$299.99 = Cost after discount
What is the value of x
Answer:
180
Step-by-step explanation:
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
What is the area of this?
I need step by step
Answer:
Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feetSee diagram below.
====================================================
Explanation:
Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.
I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.
The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.
-------------------
If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.
Need help please in number 5
Answer:
HL (Hypotenuse-Leg)
x = 13
Step-by-step explanation:
hypotenuse GJ is shared by both triangles.
∠H and ∠K are right angles so they are right triangles.
leg HG = leg KG
so HL theorem
x + 5 = 8
x = 13
(Right angle, hypotenuse and side theorem)
By this theorem GK = GH ,
=> x + 5 = 8
=> x = 8-5
=> x = 3HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
what is 7/8 - 4/7 as a fraction
Answer:
17/56
7/8 - 4/7 = 17/56
Answer:
17/56
Step-by-step explanation:
Multiply 7 by 7 and get 49
Then Multiply 4 by 8 and get 32
Then we Multiply the Denominators 8×7= 56
that's how u get /56
now u look at the numerators 49/56 32/56
49-32= 17
thats how u Get 17/56
(2) what is being cooked in a preserve cooker?
Answer:
Rice and other items are being cooked in pressure cookers
I hope it helps you
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
please show your work:
A crew of highway workers paved 3/15 miles in 15 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
a. 3/225
b. 4/5
c. 3/5
d. 1/20
Answer:
b . 4/5
60 :15 minute : 4
3 /15 x 4 = 12/15 = 4/5
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
Which one is not a characteristic of all parallelograms?
Answer:
Consecutive angles are supplementary is not character of parallelograms
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
which expression is equivalent to 20c-8d
Step-by-step explanation:
Your question is incomplete please edit it.