Answer:
Use points (4,1) and (3,-1)
Step-by-step explanation:
Let's say the other coordinates are (x,y).
Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:
[1-(-1)]/(4-3)=2/1=2
So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.
Explain the step by step process of finding a function for a hyperbola given the center (1,4), vertices (-7,4) and (9,4), and a point on the hyperbola at (-11, -6). Make sure to include the location of the foci.
NO LINKS!!
Answer:
(x -1)²/64 -(y -4)²/80 = 1foci (-11, 4) and (13, 4)Step-by-step explanation:
The standard form of a hyperbola whose transverse axis is horizontal is ...
(x -h)²/a² -(y -k)²/b² = 1 . . . . center (h, k); transverse axis 2a; conjugate axis 2b
The distance between the two vertices is given as (9 -(-7)) = 16 = 2a, so the value of a is 8 and we have the partial equation ...
(x -1)²/8² -(y -4)²/b² = 1
Filling in the given point value gives us an equation for b².
(-11 -1)²/8² -(-6 -4)²/b² = 1
9/4 -100/b² = 1
5/4 = 100/b²
b² = 80
So, the equation is ...
(x -1)²/64 +(y -4)²/80 = 1
__
The distance between the foci is 2c, where c² = a² +b².
c² = 64 +80 = 144 = 12²
c = 12, so the foci are at ...
(x, y) = (1 ±12, 4) . . . . . . . 12 units either side of the center
The foci are (-11, 4) and (13, 4).
_____
Additional comment
The steps are ...
use the given information to fill in as much of the equation as you can.use any given points or additional information to find the unknown values in the equationdetermine any additional information asked for (foci, asymptotes, ...)The relevant relations are ...
2a = length of transverse axis (distance between vertices)
2b = length of conjugate axis (distance between co-vertices)
±b/a = slope of asymptotes, which are lines through the center
2c = distance between foci, where c² = a² +b²
The equation is (x -h)²/a² -(y -k)²/b² = 1 for a hyperbola that opens horizontally with center (h, k). Swapping variables x and y will give a hyperbola that opens vertically. If the figure opens vertically, the asymptotes will have slope ±a/b.
The distances from a point to the foci have a constant difference of 2a.
The model represents an equation. What value of x makes the equation true?
A) -3
B) -9
C) 3
D) 9
For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?
Answer:
B is empty
Step-by-step explanation:
help i made it worth a lot of points
Answer:
36x^6/y^10
Step-by-step explanation:
First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6
y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r
final answer should be 36x^6/y^10
hope this helps :')
Answer:
[tex] \dfrac{36x^6}{y^{10}} [/tex]
Step-by-step explanation:
First, deal with the exponent 2 outside the parentheses.
Raise each factor to the second power.
[tex] (\dfrac{6x^3}{y^5})^2 = [/tex]
[tex] = \dfrac{6^2(x^3)^2}{(y^5)^2} [/tex]
To raise a power to a power, multiply the powers.
[tex] = \dfrac{36x^6}{y^{10}} [/tex]
Circle A has a circumference of 9 cm. Circle B has a radius of 5 cm.
Which circle has the larger circumference?
About how many centimeters larger is it?
Answer:
B has a bigger circumference.
It is larger by 69.5 cm
Step-by-step explanation:
B: 3.14×5²=78.5
A: 9
Pls look at the picture for question.
Answer:
Only option A is correct
Step-by-step explanation:
Positive numbers are always greater than negative numbers no matter the quantities. Also, the greater the negative number is, the less it becomes.
Hope this helps :D
HELP! Due in 5 minutes
ANSWER:
the first one: 30x+48
The second one: x y^2(10 y + 15)
The third one: 30 x y - 5 x^2
Hope this helped!
sorry if im wrong. :)
GOOD LUCK!! <3
Help help math pelsss please please
Answer:
162 the answer i think bye have fun
Step-by-step explanation:
An angle measures 136°. What is the measure of its supplement?
Answer:
44⁰.
Step-by-step explanation:
Its supplement = 180 - 136
= 44 degrees.
What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1?
Answer:
3rd degree
Step-by-step explanation:
factors are
a(x + 3)(x + 3)(x - 4)
polynomial is
a(x² + 6x + 9)(x - 4)
a(x³ + 2x² - 15x - 36)
where (a) could be any real number
Please help me in this 4th grader question, its a homework and i was sick over the weekend
Answer:
what is your question ask then I shall answer you
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answer:
Step-by-step explanation:
Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
[tex]d=\sqrt{61}[/tex]
Step-by-step explanation:
The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]
anyone willing to help??
Given f (x) = x² + 4x + 5, what is
Answer:
8+h
Step-by-step explanation:
Simply substitute x = 2+h and x = 2 in.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]
Therefore, the answer is h+8 or 8+h.
Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.
The definition of derivative is:
[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]
Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.
Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.
[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]
Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]
Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?
A.
5
6
miles per hour
Answer:
7 miles / hour
Step-by-step explanation:
I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.
Givens
d (distance ) = 3.5 miles
t (time) = 1/2 hour
r (rate) = ?
Formula
r = d/t
Solution
The easiest way to do this is to change the fractions to decimals.
t = 1/2 = 0.5 hours
r = 3.5 / 0.5
r = 7 miles per hour.
The x-value of the vertex of f(x) = x2 - 10x + 3 is
Answer:
x- coordinate = 5
Step-by-step explanation:
Given a parabola in standard form , f(x) = ax² + bx + c ( a ≠ 0 ) , then
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² - 10x + 3 ← is in standard form
with a = 1 , b = - 10 , then x- coordinate of vertex is
x = - [tex]\frac{-10}{2}[/tex] = 5
(05.03 LC) What is the initial value of the function represented by this graph? (1 point)
Answer:
0
Step-by-step explanation:
The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.
(a) Develop the appropriate null and alternative hypotheses.
a) H0: μ = 1
b) Ha: μ ≠ 1
a) H0: μ > 1
b) Ha: μ ≤ 1
a)H0: μ ≥ 1
b) Ha: μ < 1
a) H0: μ < 1
b) Ha: μ ≥ 1
a) H0: μ ≤ 1
b) Ha: μ > 1
(b)What is the type I error in this situation? What are the consequences of making this error?
a) It is claiming μ < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.
b) It is claiming μ > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.
c) It is claiming μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
d) It is claiming μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
(c) What is the type II error in this situation? What are the consequences of making this error?
a) It is concluding μ > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.
b) It is concluding μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
c) It is concluding μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
d) It is concluding μ < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.
Find the perimeter of the rectangle
Answer:
70Step-by-step explanation:
Find the perimeter of the rectangle
add the lengths of the rectangle's four sides
24 + 11 + 24 + 11 = 70
Rewrite in simplest terms: (4x + 4) - (-4x - 9)
Answer:
Submit Answer
Answer:
8x+13
Step-by-step explanation:
do you need this part?
If the letters in the word NEIGHBOR are
randomly rearranged, what is the probability
that the arrangement ends with the letter B?
Stuck on this, need help on this.
Answer:
Domain: (-∞ , ∞)
Range: y <= 8 [8 , -∞)
Step-by-step explanation:
x = 2
f(x) = 8
x<=2
f(x) <=8
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a dessert for $7.99. You had amazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
The total bill after the tip, discount, and tax is $37.76.
The total cost of the order is reduced by the coupon and increased by the tax paid and tip.
Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert
$2.99 + $9.99 + $11.50 + $7.99 = $32.47
Value of the tip = 20% x $32.47 = $6.49
Cost of the items after the coupon: (100% - 10%) x $32.47
90% x $32.47
0.9 x $32.47 = $29.22
Cost of the items after the tax: (1.07) x $29.22 = $31.27
Total cost of the items = $31.27 +$6.49 = $37.76
To learn more about taxes, please check: https://brainly.com/question/25311567
What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work.
y = -2x - 7
y = 2x + 17
y = 1/2x + 8
y = -1/2x + 2
Answer:
y = m x + b equation for a straight line
m m' = -1 for perpendicular lines
Thus m' = -1/2 is required
Check:
-1/2 * -6 + 2 = = 3 + 2 = 5 = y for the last equation give
In an economics class, 4 students earned an A, 6 earned a B, 5 earned a C, 5 earned a D, and 3 earned an F. If a single student is picked at random, what is the probability that they earned an B or C?
Provide your answer as a simplified fraction.
Answer:
11/23
Step-by-step explanation:
B = 6
C = 5
6+5=11
11/23
Please help me prove that RST is congruent to RUT!
Answer:
See image
Step-by-step explanation:
On line 3, the reason is filled in that "All right angles are congruent" so kind of working backwards, the statement must say that two right angles are congruent. Use the angles in the previous two statements. Line 4 has the statement completely filled in, the reason is bc it is given in the list of given statements beside the diagram. Line 5 says that RT is congruent to itself. That is reflexive property, like a reflection in a mirror. Same ~= same.
You can see from the markings on the image that you have Angle-Side-Angle, which is one of several ways that we can show that triangles are congruent. ASA is what is shown in statements 1-5. See image.
Help help help help math
Answer:
158
Step-by-step explanation:
We know the supplement of angle 6 is 22, due to the fact that they are corresponding angles. Simply subtract 22 from 180 to get the answer. 180-22=158
Answer:
158 degrees
Step-by-step explanation:
Angle 6 has a same side interior relationship with the 22 degrees, so the sum of these angles are equal to 180 degrees.
To find the missing angle, subtract 180 by 22 degrees.
180-22= 158
NEED NOW PLEASE.....
pleaseeeeeeeee help me
Answer:
2⁴ = 16
Step-by-step explanation:
