Answer:
[tex]\displaystyle \frac{x^2}{12}-\frac{y^2}{24}=1[/tex]
Step-by-step explanation:
Since the directrices are vertical lines:
Use the hyperbola equation [tex]\displaystyle \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex] Foci are [tex](\pm c,0)[/tex][tex]a^2+b^2=c^2[/tex][tex]a[/tex] and [tex]b[/tex] are half the lengths of the tranverse and conjugate axes respectivelyDirectrices are located at the lines [tex]\displaystyle x=\pm\frac{a^2}{c}[/tex]We assume the center to be [tex](h,k)\rightarrow(0,0)[/tex]Since we already know our directrices are at the lines [tex]x=\pm2[/tex] and we know that [tex]c=\pm6[/tex] from our foci, we can solve for the value of [tex]a^2[/tex]:
[tex]x=\frac{a^2}{c}\\\\2=\frac{a^2}{6}\\\\12=a^2[/tex]
This allows us to solve for the value of [tex]b^2[/tex]:
[tex]a^2+b^2=c^2\\\\12+b^2=6^2\\\\12+b^2=36\\\\b^2=24[/tex]
Thus, our equation for the hyperbola is [tex]\displaystyle \frac{x^2}{12}-\frac{y^2}{24}=1[/tex].
Classify
3x5 + 5x4 7x3 + 15 by
number of terms.
O polynomial of 5 terms
O polynomial of 4 terms
O binomial
O trinomial
Answer:
b. polynomial of 4 terms
Step-by-step explanation:
Events A and B are independent. Let P(B)=0.4 and P(A and B)=0.13. Find P(A). Write your answer as a decimal rounded to the nearest thousandth.
The probability value represented by P(A) is 0.325
How to determine the probability value P(A)?The given parameters are:
P(B) = 0.4
P(A and B) = 0.13
Given that the events A and B are independent, we have:
P(A and B) = P(A) * P(B)
So, we have:
0.13 = P(A) * 0.4
Divide both sides by 0.4
P(A) = 0.325
Hence, the probability value of P(A) is 0.325
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Consider the diagram below. Find the value of w.
Answer: 63
Step-by-step explanation:
The acute angles of a right triangle are complementary, so [tex]w+27=90 \longrightarrow w=63[/tex]
What is the recursive formula of the geometric sequence?
1, 5, 25, 125, 625, ...
The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1
How to determine recursive formula of a geometric sequence?Given: 1, 5, 25, 125, 625, ...
first term, a = 1Common ratio, r = 25/5= 5
n = number of termsan = a × r^(n - 1)
= 1 × 5^(n - 1)
an = (1) × (5)^(n - 1) for n ≥ 1
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2.Select all the expressions that are equivalent to 6-X.
Equivalent to 6 - x
a. X- 6
b. 6 + -x
c. -x + 6
d. -6 + x
e. 6 + x
[tex]\textbf{b.)} ~ 6+(-x)\\\\\textbf{c.)} ~ -x+6\\[/tex]
can someone help me with this.........asap
The diameter of a circle is 26 cm. Find its area to the nearest whole number.
Answer:
531
Step-by-step explanation:
The area of a circle can be determined by the equation: A = πr².
The "r-value" represents the radius, which is half of the diameter. Since the diameter is in cm, the area will have the unit cm².
d = diameter r = radius π = 3.14..... A = area
d / 2 = r
26 / 2 = r
13 cm = r
A = πr²
A = π(13)²
A = 169π
A = 530.929.... cm²
A = 531 cm²
As you can see, the radius was determined to be 13 cm. When you plug that value into the area equation, you get 530.9 cm². Rounding to the nearest whole number would bump the 0 to 1, making the final answer 531 cm².
What is the equation of the line graphed below
Answer:
The correct answer is A.
can anyone please solve this and tell me if it's correct please
Answer:
Q1. 15
Q2. You're correct
Q3. 3.60
Q4. 2 Correct
Step-by-step explanation:
80 dollars for 16 tickets written as a unit rate, what is it?
Answer:
5 dollars a ticket. Divide 80/16 to get tour answer.
Step-by-step explanation:
If p= -1,-1 find the image p under the following rotation 70 degrees counterclockwise
I know
Step-by-step explanation:
I wish I it but i dont and i think that other person will
Help me answer this please
Answer:
1. d
2 c
3 a
4 g
5 h
6 e
7 b
8 f
9 i
10 j
Step-by-step explanation:
What does 5 - 4 1/8 equal?
Ben measured the math table using his linking cube stick to determine how many cubes long the table was. This is an example of using: a. A standard measure to determine the length of an object. b. A non-standard measure to determine the length of an object. c. An expression of Ben’s creativity.
Answer:
A
Step-by-step explanation:
The given statement is an example of a standard measure to determine the length of an object.
What is the standard measure of length?The standard unit for measurement of length exists meter. Apart from the meter, we have different units such as a meter, kilometer, millimeter, feet, inches, and so on. Meter stands are also named the SI unit of length or base unit of length.
Therefore, the correct answer is option a. A standard measure to determine the length of an object.
To learn more about standard measures
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If data is normally distributed and has μ = 90 and o-10, what is the z-score for a data value of 75?
Answer:
The z-score for this data is -1.5
Step-by-step explanation:
Step 1: For the specified distribution and data point,
μ = 90, σ = 10, and x = 75 (given)
Step 2: We now apply the z-score formula:
z = x − μ / σ
z = 75 - 90 / 10
z = - 15 / 10
z = -1.5
We can take it a step further:
A z-score table shows the percentage of values (usually a decimal figure) to the left of a given z-score on a standard normal distribution
percentage of value = 0.0668
What triangle congruence method is used for this triangle?
SSS
side - side - side
side - BD - commonside - BC = ADside = BA is parallel to DCHOPE IT HELPS...!!!
luke buys shares for £15.26 each they decrease in value by 3.5% work out the new share price
Answer:
New price is $14.73 Per share
Step-by-step explanation:
(1 - 3.5%) × 15.26 = 14.7259
Round to the nearest hundreth
New share price = $14.73
Pls help, will mark brainliest!!
1. Phil is about to take a test that contains matching questions worth 10 points each and essay questions worth 25 points each. He must do at least 3 matching questions, but time restricts doing more than 12. Phil must do at least 4 essays, but time restricts doing more than 15. If no more than 20 questions can be answered, how many of each type should Phil do in order to maximize his score?
a. Define variables and write constraints for this problem.
b. Write an equation for what you want to maximize or minimize.
Answer:
hope you can understand
Can someone help I don’t understand.
Answer:
that is reading my friend
Step-by-step explanation:
Answer:
Sidney is shallow but busy. One common boating hazard in this city are the rocks, stingrays, and sharks. Rounf trip fair: $2000 hotel cost: 250 for 1 night and and or 2500 for 10 nights. total travel expense: $4500.
Step-by-step explanation:
Sidney is shallow but busy. One common boating hazard in this city are the rocks, stingrays, and sharks. Rounf trip fair: $2000 hotel cost: 250 for 1 night and and or 2500 for 10 nights. total travel expense: $4500.
Correct answer only giving Brainly
Answer: should be 74?
Step-by-step explanation:
add 140 and 146 and minus that answer by 360??
Find the angle x on the line. a triangle has 38 at the top and 101 on the outside of it.
Answer:
x=79°
Step-by-step explanation:
[tex]x + 101 = 180( < \: on \: str \: line = 180) \\ x = 180 - 101 \\ x = 79[/tex]
Ann weighs 259 pounds but is only 5 feet 3 inches tall. Betty is 6 feet tall. How much would you expect Betty to weigh if they have the same height/weight ratio?
A. 226.62 LBS
B. 24 LBS
C. 518.00 LBS
D. 296.00 LBS
I WILL GIVE BRAINLELIST
Answer:
D. 296.00 LBS
Step-by-step explanation:
We convert both heights to inches.
1 ft = 12 in.
5 ft 3 in = 5 × 12 in. + 3 in. = 63 in.
6 ft = 6 × 12 in. = 72 in.
[tex] \dfrac{63~in.}{259~lb} = \dfrac{72~in.}{x} [/tex]
[tex] \dfrac{63x}{259} = 72~lb [/tex]
[tex] x = \dfrac{259 \times 72~lb}{63} [/tex]
[tex] x = 296~lb [/tex]
Answer: D. 296.00 LBS
simplify negative square root of 72
Sam works at a factory. He wraps 6 pieces of taffy every minute. How many pieces of taffy will he wrap in 10 minutes?
Answer:
60
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
Multiply 10 By 6
6. someone pls help
73".
x?
Answer:
hi po
Step-by-step explanation:
download math scaning po
Mica is making a paste for an art project. He mixes 8 cups of water with glue. If he wants to make a double batch how many quarts of water does he need?how much water is that in gallons?
He needs one more quart. That is half of a gallon.
Solve x2-9x+14=0
Would appreciate if anyone could help
After buying some skittle for $19.00. Nathan has $7 left. How much money did Nathan have to begin with
Answer:
26.00$
Step-by-step explanation:
add the numbers to get the answer
Answer:
Nathan had $26
Step-by-step explanation:
$19.00+$7.00= $26
please help me with this...........asap
Answer: A
Hope this helps
Answer:
I think it's "Yes, each member has an equal chance of being selected."
Step-by-step explanation:
I think it's that one because he want's to survey the tennis players only so it's yes.
Someone please help me with this!!! (30 points)
Answer:
Step-by-step explanation:
(x-5)(2x+4)
use FOIL , Countess
First, Outside, Inside, Last FOIL
= 2x*x +4*x -5*2x -5*4
= 2[tex]x^{2}[/tex] + 4x -10x -20
= 2[tex]x^{2}[/tex] -6x -20
