Answer:
[tex]\frac{y^2}{100} -\frac{x^2}{144} =1[/tex]
Step-by-step explanation:
By looking at the characteristics given, it can be determined that the equation will be vertical.
Being that the center is the midpoint of the vertices, the center is (0,0).
We have determined that the equation is vertical, so the equation used to find the asymptotes is [tex]y= k+\frac{a}{b} (x-h)\\ \\y=k-\frac{a}{b} (x-h)[/tex] . ± [tex]\frac{5}{6}[/tex] x is the asymptote.
We know that a is equal to 10 because of the vertices, so a squared is equal to 100.
[tex]\frac{a}{b} =\frac{5}{6}[/tex]
[tex]\frac{5}{6} =\frac{10}{b}[/tex]
When you cross multiply, and solve for b, you should get 12. Because b is 12, b squared is 144.
Now just fill the vertical transverse axis equation.
[tex]\frac{y^2}{100} -\frac{x^2}{144} =1[/tex]
I need help please ill mark brainiest
Answer:
Step-by-step explanation:
This is exponential growth which has the form
[tex]c=ar^n,\text{ where c=cases, a=initial value, r=common ratio, n=days}\\ \\ c=1000(1.2^n)\\ \\ \text{The sequence for days 2 through 6 is}\\ \\ (2, 1440),(3, 1728),(4, 2073.6),(5, 2488.32),(6, 2985.984)\\ \\ \text{Since these are people we should round to nearest whole person.}\\ \\ (2,1440),(3,1728),(4,2074),(5,2488),(6,2986)[/tex]
Solve for X. Please help! 35 points
pls help :) plssssss
Answer:
I'm kinda guessing 35 degrees.
Step-by-step explanation:
It was simple math and I don't know if there's a certain way you are supposed to do this. Sorry if I'm incorrect.
Answer:
35 degrees im pretty sure
Step-by-step explanation:
goodluckk
Easy but not for me. Help needed
Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3
Which table represents a linear function?
Answer:
wheres the pic tho
Step-by-step explanation:
?????????
Someone please help this is due in 1hr!!!!!!!
Select all the shapes that are cross sections of a cylinder.
It would be
rectangle (verticaly cut)
a line
a circle
an oval
A racehorse as a 3/10 chance of winning a derby. How could you simulate this probability in
order to run chance experiments?
i dont know what this is please help me thx <3
Answer:
x>0
Step-by-step explanation:
since the circle is white and not blue, it is a normal greater than sign and since the arrow is going to the right it is greater than
Answer:
it would be b because the line is showing that x is greater than zero and there is no line under the symbol because the dot is not shaded in.
Step-by-step explanation:
You are hiring counselors for a summer camp. For every 30 campers, you need 4 counselors. You expect to have 180 campers. How many counselors should you hire? (Show your work.) Solve using a double number line.
How many counselors do you need to hire for 90 campers?
How many counselors do you need to hire for 60 campers?
Complete the double number line diagram that represents the situation
b.
a.
c.
d.
Answer: 60 campers = 8 counselors
90 campers = 12 counselors
180 campers = 24 counselors
Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers
Graph this line using the slope and y-intercept:
y=6x+2
Click to select points on the graph.
Answer:
Step-by-step explanation:
two points: (0,2) and (-1, -4)
I am just going to ask this question again because I keep getting a scam answer
Answer:
14.52 seconds
Step-by-step explanation:
5 yd
6 yd
10 yd
2
?
13 yd
Answer:
5yd= 15 ft
6yd= 18ft
10 yd= 30 ft
2yd=6ft
13yd=39ft
Step-by-step explanation:
Find the circumference of a circle with a diameter of 13 meters. Use 3.14 as an approximation for 8. Round your answer to the
nearest whole meter. Enter only the number.
The solution is
Answer:
Step-by-step explanation:
Diameter d = 13 meters
Circumference = πd = 3.14 × 13 = 40.82 meters
A person stands 6 feet tall. The distance from the top of their head to the end of their
shadow on the ground is 10 feet. How long is their shadow? Round to the nearest
tenths where necessary.
Answer:
It's quite simple and there is no need for rounding, the answer should be 8ft
Step-by-step explanation:
Here's why,
This problem can be solved with the Pythagorean Theorem, since in draws a triangle.
The picture should explain it, let's double check:
6^2+8^2=10^2
36+64=100
Looks like it checks out
Answer:
I agree, the answer should be 8ft
If a = 3y + 4z and b - z - 2y, then what is the value of
a + b
Answer:
sin (330) csc (60) cos (390)
Step-by-step explanation:
Help me please!!! ASAP
Answer:
a) 21 √m inches
b) 13√2/2 m
Step-by-step explanation:
a) we want to find the perimeter of an equilateral triangle
An equilateral triangle is one which sides has the same equal length
The perimeter of this triangle is the sum of the lengths of the three sides
Mathematically, we have this as:
7 √m + 7 √m + 7 √m
= 21 √m inches
b) we want to calculate the perimeter of the given rectangle
Mathematically, we can calculate the perimeter of a rectangle using the formula below;
P = 2(l + b)
where l represents the length of the rectangle and b represents the breadth of the rectangle
From the given shape;
l = √50 m, b = 1/2 √32
So, we have the perimeter follows;
2( √32/2 + √50)
= √32 + √50/2
√32 = 4√2
√50 = 5√2
Thus, we have;
4 √2 + 5 √2/2
= (8 √2 + 5 √2)/2 = 13√2/2
what is the constant term in the expression 8 * y + 9x ^ 2 y - 5x -2
A - 5
B - 2
c 8
d 9
answer is
-2
that is option b
What is this plz this is the last thing i need
Answer:
Exactly 1
Step-by-step explanation:
y = 2 x + 1
please help i’m struggling
I really need help with this question
Answer:
32
Step-by-step explanation:
180-116=64
64÷2=32
Help me pls. literally can’t figure it out.
click pic to make it bigger thanks.
simplify.
(14h⁴︎+3h³) - (9h⁴︎+2h³)
Answer:
31874
Step-by-step explanation:
I think that's right?
please tell me
A ladder that is 13 feet long leans against a building .The bottom of the ladder is 5 feeet away from the base of the building .how far up the side of the building does the ladder reach?
Length of the ladder = 13 m
Foot of the ladder from the wall = 5 m.
The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.
In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.
In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.
In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.
So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.
Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m
wall ^ 2 + ground ^ 2 = 13^2 = 169
w^2 + g^2 = 169
w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12
Rate of change of ground distance = dg / dt = 2m/s (given).
In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.
2 w dw/dt + 2 g dg/dt = 0
2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0
dw/dt = -20 / 24 = -5 / 6
Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)
The minus sign denotes that the height of the ladder is falling.
Step-by-step explanation:
find the value of x and classify the triangle
Answer:
x = 91 degrees
It is an obtuse scalene triangle.
Step-by-step explanation:
Right triangle ABC is shown below.
A similar right triangle would be created by a rise of 8 and a run of
Answer:
a run of 6
Explanation:
AB=4 , AC=3
If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6
What conclusion can be drawn from the quiz scores shown below?
Ken's class: 72, 78, 83, 84, 85, 87, 92
Judy's class: 76, 78, 85, 87, 89, 92, 98
Answer:
Ken class has a median of 84 while Judy class a median of 87
Step-by-step explanation:
Ken class has a median of 84 while Judy class a median of 87
Kens class has a mean score of 83, and Judy's class has a mean score of 86.43(rounded) so, judging by the mean, Judy's class is smarter. If we take a look at the median, (Ken: 84, and Judy: 87) then Judy's class is smarter. So, overall Judy's class is smarter than Ken's class.
Which of the following graphs the equation
y = 1/5x + 1
welp i cant help but i can sing ;-;
Step-by-step explanation:
Esgetteit give me a funney joek plox plox
Answer
why cant a orfian play baseball..... they dont know where home is.
Step-by-step explanation: