The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant
is a A. Hyperbola.
What is a hyperbola?A hyperbola is symmetric along its conjugate axis and resembles the ellipse in many ways.
Examples of the hyperbola that are frequently seen include the path taken by the tip of a sundial's shadow, the scattering trajectory of subatomic particles, etc.
We all know the pictorial representation of a circle, ellipse, parabola, and hyperbola.
A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity.
The given diagram and statements represent a hyperbola.
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Which of the following trigonometric ratios are correct?
Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacentNow that we know three basic ratio. Let's check each choices!
sin50° = d/cThis choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
sin50° = c/xThis choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
tan50° = d/cThis choice is correct! As ratio states, tanA = opposite/adjacent.
tan50° = x/cThis choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
cos50° = x/dThis choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
cos50° = c/xThis choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
tan50° = d/ccos50° = c/xQuestions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
Expand (2+x)(2-x). If necessaty combine like terms
Answer:
Step-by-step explanation:
(2+x)(2-x)
2(2-x)+x(2-x)
4-2x+2x-x^2
4-x^2
You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05
On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?
Answer:
7.8 miles.
Step-by-step explanation:
5.2 x 1.5 = 7.8
Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)
Answer:
-500 (I think)
Step-by-step explanation:
laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?
Answer:
Laura needs to try 36 more times before the lock is sure to open.
Step-by-step explanation:
Alright, with a three digit lock, there are 9 possible numbers for each digit:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Since the first one is 3, lets move onto the second digit, which is prime.
Of the numbers between 1-9,
2, 3, 5, and 7 are prime.
With the last digit, it can be any number 1-9.
With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.
Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?
Answer:
The volume of the cylinder is324 п cm
The area of the base of the cylinder is 81 п cm
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
n x (9^2) x 4 = 324n
Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π
please help i’ll give brainliest!!! thanks
Answer:
Lack of order
Step-by-step explanation:
Find the circumference of the circle using C = pi•D
Answer:
The correct answer is the third choice, 14 pi.
The choice you selected is wrong.
Circumference = πD
= diameter is 14, so its 14π
i need help write expression in exponential from
Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined
Answer:
Its A
Step-by-step explanation:
Because if you add 3+5 that is 8 so 8/8
y=x
2
+3x+2 & y=4x+4
Answer:
Step-by-step explanation:pho;np9yil.gboil k,
What is the probability of spinning an even number?
Answer:
3/5
Step-by-step explanation:
there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg
True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times
Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation:
Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
4
Step-by-step explanation:
Which is the graph of f(x) = 2(3)x ?
Answer:
A
Step-by-step explanation:
the rest are inccorect
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
26x + 10x = 180°
36x = 180
x = 180/36
x = 5
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation:
Find the measure of angle b. PLZ HELP AND SHOW WORK
Answer:
1) A because of vertical angle theorem (VAT), which means that b=37 degrees
2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees
3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees
4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees
5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees
Pls help will mark brainliest
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
What kind of triangle is this?
54°
95°
31°
acute
right
obtuse
54° is acute
95° is obtuse
31° is acute
The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.
Answer:
x + 22x - 3 = 4 (5x) + 3 (x-1)
Step-by-step explanation:
x + 22x - 3
23x - 3
20x + 3x - 3
5x + 15x + 3x - 3
5x (1 + 3) + 3 ( x - 1)
4 (5x) + 3 (x-1)
estimate 12 8/9 - 10 1/6
Answer: 49/18
Step-by-step explanation:
what is 4.13 to the nearest tenth
Answer:
4.1
Step-by-step explanation:
HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
In bottle 1/4 of chlorine solution is left in bottle.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.
And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.
Now,
Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8
= 5 / 2 × 1/4 - 3/8
= 5 / 8 - 2 / 8
= 1 / 4
Thus, In bottle 1/4 of chlorine solution is left in bottle.
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The complete question is this;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?
What is the square root of 200 in a whole
Plz answer
Answer:
The square root of 200 can be simplified as 10√2.
Step-by-step explanation:
hope i helped
Answer:
10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2^{3} * 5^{2} }[/tex]
[tex]\sqrt{2^{2} *2*5^{2} }[/tex]
[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]
[tex]2\sqrt{2} *5[/tex]
10[tex]\sqrt{2}[/tex]
If 75% of a number is 300 and 20% of the same number is 80, find 95% of that number.
Answer:
380
Step-by-step explanation:
380/400 is 95%
simplify 3+4(y-7)+5y
Answer:
9y-25
Step-by-step explanation:
Answer:
9y-25
Step-by-step explanation:
Math
a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?