Answer:
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Step-by-step explanation:
Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:
PA + PB = 2a
PA = 2a - PB
PA² = 4a² + PB² – 4a ∙ PB
PA² – PB² = 4a² – 4a ∙ PB
[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB
-4hc = 4a² – 4a∙PB
a ∙ PB = a² + hc
Taking square
a² ∙ PB² = (a² + hc)²
a² [(h + c)² + (k - 0)²] = (a² + hc)²
a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²
a²h² – h²c² + a²k² = a⁴ – a²c²
(a² – c²)h² + a²k² = a² (a² – c²)
h²/a² + k²/(a² – c²) = 1
Therefore, the required equation to the locus of P is
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Please help me quick!!!!!!!!!!!!!!!!!
Answer:
a. Yes, the evidence supports the hypothesis
Step-by-step explanation:
The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D
Please I need help with this questions.....
Answer:
Correct
Step-by-step explanation:
This report is correct because the most people finished in 4 hours
Answer:
I think you are correct. I hope this helps please tell me if you get it right or wrong.
Step-by-step explanation:
Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?
Answer:
$20.30
Step-by-step explanation:
There are 4 people so 81.20/4 = 20.30
Answer: $20.30
Step-by-step explanation:
There are 4 people and so you need to divide the cost by the amount of people to see what each person owes
There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960
Answer:
20,480
Step-by-step explanation:
5x2^12
Answer:
20480
Step-by-step explanation:
got it right on edge
The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43
Answer: the answer is A
Step-by-step explanation:
1st:subtract 42-14=28(the difference)
2nd: divide 42÷14=3
Help with homework! Basic area question.
Answer:
254.502
Step-by-step explanation:
IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!
Answer:
i believe the answer is: 69.498 cm
Step-by-step explanation:
PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5
Answer:
We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.
Answer:
4, -1
Step-by-step explanation:
2x-3=5
x=4
2x-3=-5
x=-1
Please help me i dont understand this lol thank you
Answer:
Positive Correlation
Step-by-step explanation:
The Points on the graph are increasing upward, which would make this a positive correlation.
the 14th hole at riverwoods golf course is 378 yards long how long would it be on a model with a scale of 0.5 inches to 75 yards
Answer:
2.52 inches
Step-by-step explanation:
Model: 1 inch =150 yds
378/150=2.52
Length of model: 2.52 inch
When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)
Simplify the expression:
3x (4x-6)
—————
2x(3x)
Answer:
[tex]=\frac{2x-3}{x}[/tex]
Step-by-step explanation:
[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]
pls help this is due tmr pls help:(
Answer:
The correct answer is 4 (0.72n)
Total notebook = 70
Total cost = 50.4
now
cost of one note book = total cost / total no notebook
= 50.4/70
= 0.72
The mathematical sentence 2x + 1 = x + 5 is a/an ______. Is it an inequality or an equation.
It's an equation.
(Btw i luv your profile pic :))
Answer:
It's an equation.
Step-by-step explanation:
[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value
for an example,
[tex]4 < 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)
Answer:
w = - 5, w = - 3
Step-by-step explanation:
Given
w² + 8w + 15 = 0
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)
The factors are + 5 and + 3 , since
5 × 3 = 15 and 5 + 3 = 8 , thus
(w + 5)(w + 3) = 0 ← in factored form
Equate each factor to zero and solve for w
w + 5 = 0 ⇒ w = - 5
w + 3 = 0 ⇒ w = - 3
A right cylinder has a diameter of 40 mm in a high of 30 mm as soon what is the volume of the cylinders
________________________________
Hey!!
Solution,
Diameter=40 mm
Radius=40/2=20mm
Height=30mm
Volume of cylinder=?
Now,
Volume of cylinder=pi (r)^2 h
= 3.14*(20)^2*30
=3.14*400*30
=37,680 mm^3
So the right answer is of option A
hope it helps
Good luck on your assignment
__________________________________
Answer:
37,680 mm3
Steps:
Formula: Volume = Area * height
1: = (pi/4)*D^2 * h
2: = (pi/4)*(40)^2 * 30
3: = 37,680 mm3
Description:
We know that r is the radius and h is the height. So the
radius of the cylinder going to be r=40/2=20mm
Height of cylinder: 30mm
Meaning when you add up all the numbers answer will come as 37,680 mm3. So a is the right answer for this question.
Answer: A. 37,680 mm3
Please mark brainliest
Hope this helps.
What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)
Answer:
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
Step-by-step explanation:
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
:)
The vertices of the triangle after rotation are:-
E' (3, 1)
F' (-2, -1)
G' (-1, 4)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.
The rule for rotating 180° is (x, y) ⇒ (-x, -y)
E is at (-3, -1). When the rule is applied, E' is at (3, 1)
F is at (2, 1). When the rule is applied, F' is at (-2, -1)
G is at (1, -4). When the rule is applied, G' is at (-1, 4)
Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).
To know more about translation follow
https://brainly.com/question/28393968
#SPJ2
What is the answer of 135=-9x+9?
Answer:
x=-14
Step-by-step explanation:
move all the terms that don't contain x to the right side and solve.
(idk if this is correct but i hope it helps)
Answer:
Please mark me brainliest and I hope this helped!
X = -14
Step-by-step explanation:
First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:
x = -14
The equation of the line of best fit is y = 10x + 40. What does the y-intercept represent?
A.
the total number of questions on the test
B.
the average number of hours the students spent studying
C.
the total number of hours the students spent studying
D.
the test score of a student who did not study
Answer: D
Step-by-step explanation:
For a student who did not study for the test you will still score 40 on the test by using you own knowledge.
Which of the following is a TRUE statement about the triangle below?
Answer:
it is an acute triangle
Step-by-step explanation:
angle M is 180 - 44 - 77 = 59
since all angles are less than 90 degree, thus is an acute triangle
Help please!!!! It geometry and i have no clue wht im doing
Step-by-step explanation:
21. supplementary angles (add up to 180°)
22. vertical angles (congruent)
23. vertical angles (congruent)
24. supplementary angles (add up to 180°)
25. supplementary angles (add up to 180°)
26. supplementary angles (add up to 180°)
27. supplementary angles (add up to 180°)
28. supplementary angles (add up to 180°)
29.
(complementary angles)
[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]
30.
(supplementary angles)
[tex]9x-4+4x-11=180[/tex]
[tex]13x-15=180\\13x=195\\x=15[/tex]
31.
(vertical angles)
[tex]x-15=60\\x=75[/tex]
32.
(supplementary angles)
[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]
33.
(complementary angles)
[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]
Hope this helps!
PLS HELP!! IT"S DUE SOON! An iron bar that weighs 2 1/4 lb. is cut into smaller bars that weigh 6 ounces each. How many smaller bars are there?
Answer:
There are 6 smaller bars
Which is a possible turning point for the continuous
function f(x)?
HELP ASAP
Answer: B. (-2, -1)
Step-by-step explanation:
(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.
Answer:
b
Step-by-step explanation:
Please help. i am being timed
Answer:
About 2.38 square feet of extra fabric: 1.25 of dark blue and 1.13 of light blue
Need $13.75 to complete template for white fabric
Step-by-step explanation:
Template requires 18 square feet of white, 20 square feet of light blue and 21 square feet of dark blue.
She has more than enough for both shades of blue fabric.
She needs 5.85 square feet more of white fabric
Since it is $2.35 per square feet of white fabric, 2.35 * 5.85 = $13.75.
It will cost her $13.75 for more white fabric
Hope this helps!
A triangle has angle measurements of 36°, 90°, and 54°. What kind of triangle is it?
A. acute B. right C. obtuse
Answer:
Right
Step-by-step explanation:
when a triangle has a 90 degree angle it is always right
Answer:
right angle triangle
Step-by-step explanation:
triangle consists of 90° causing it to be right angledplease come in clutch and help me please and thank you!
Answer:
3/20
Step-by-step explanation:
its 3/20 because its really the only possible answer that has 20 has its denominator
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.
Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.
Answer:
17
Step-by-step explanation:
It's the only number that repeats and I also took the test :)
Are the following two figures similar or congruent?
A. Congruent
B. Similar
Please help me with this
Answer:
B. Similar
Step-by-step explanation:
Congruent triangles have to be the same size. Similar triangles need to have the same angles but are not the same size.
Answer:
B. Similar
Step-by-step explanation:
What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2
Answesr:
À
Step-by-step explanation:
A cube has faces of equal measurements so u multiply the area of one face with 6
(5×5)6=150
Answer:
150 m 2
A
Step-by-step explanation:
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem
you could download 2 more songs.
X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song
PLEASE HURRY I DONT KNOW THE ANSWER
Answer:
20
Step-by-step explanation:
We can use similar triangles
12/3 = x/5
x = 20
Answer:
VS = 20
Step-by-step explanation:
ST/SV = RT/QV
SV = ST×QV/RT
= 12×5/3
= 60/3
= 20