Center : ( –7 , –3 )Focus 1: (–7 + √7 , –3 )Focus 2: ( –7 –√7 , –3 )
[tex] \frac{(x + 7)^{2} }{16} + \frac{(y + 3) ^{2} }{9} = 1 \\ \frac{(x - h)^{2} }{ {a}^{2} } + \frac{(y - k)^{2} }{ {b}^{2} } = 1[/tex]
a= 4 , b= 3 , k = – 3 , h = –7 The center: ( h , k ) —> ( –7 , –3 )[tex]c = \sqrt{ {a}^{2} - {b}^{2} } = \sqrt{ {4}^{2} - {3}^{2} } \\ = \sqrt{16 - 9} = \sqrt{7} [/tex]C = √7Focus 1: ( h + c , k ) —> ( –7 + √ 7 , –3 )Focus 2: ( h – c , k ) —> ( –7 –√7 , –3 )
I hope I helped you^_^
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
3166.7
Step-by-step explanation:
Volume=pi*r^2*h
=pi*12^2*7=3166.7
Answer:
3166.7
Step-by-step explanation:
Volume of a cylinder= pi × radius² × height
3.14 × 12² ×7 = 3166.7
Find the least common multiple of 4 and 10
Answer:
LCM of 4 and 10 is 20
Step-by-step explanation:
yes that is the answer
Answer:
Step-by-step explanation:
Factor 4 and 10 into primes
4: 2 * 2
10:2 * 5
Number of 2s = 2 twos
Number of 5s = 1 five
LCM of 4 and 10 = 4 * 5 = 20
HELPPPP MEE IM BEING TIMED
Answer:
4th option
Step-by-step explanation:
The range is the values of y covered by the graph
The lowest value is a solid dot at y = 2, indicating that y can equal 2.
The graph then increases upwards to infinity.
The range is all real numbers greater than or equal to 2
Answer:
all real numbers greater than or equal to 2
Step-by-step explanation:
The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.
1/a+b + 1/a-b +2b/a^2-b^2 simplify
Answer:
[tex]\frac{2}{a-b}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] + [tex]\frac{2b}{a^2-b^2}[/tex] ← a² - b² is a difference of squares
= [tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] = [tex]\frac{2b}{(a-b)(a+b)}[/tex] ← LCD is (a - b)(a+b)
= [tex]\frac{a-b+a+b+2b}{(a-b)(a+b)}[/tex]
= [tex]\frac{2a+2b}{(a-b)(a+b)}[/tex]
= [tex]\frac{2(a+b)}{(a-b)(a+b)}[/tex] ← cancel common factor (a + b) on numerator/ denominator
= [tex]\frac{2}{a-b}[/tex]
Surface Area of Cylinders
Radius = 10ft
Height = 6ft
The area of most three-dimensional geometric shapes is
A = a · h
Area = area of the base · height of the figure.
In this case, the area of the base is the area of a circle, so a = πr²:
a = 10²π
a = 100π ≅ 314
Now, all we have to do is multiply the area of the base to the height:
A = 100π · 6
A = 600π ← In terms of "π"
A ≅ 1884 ← Rounded answer
Given: A and B are complementary angles. B and C are complementary angles. Prove: A C
Answer:
see below
Step-by-step explanation:
Complementary means that they add to 90 degrees
<A + <B = 90 given
<B + <C = 90 given
<A + <B = <B + <C substitution property of equality.
<A = <C subtraction property of equality
It takes a word processor 22 minutes to word process and spell check 8 pages. Find how long it takes her to word process and spell check 36 pages.
Answer:
99 minutes
Brainliest, please!
Step-by-step explanation:
22/8 = x/36
11/4 = x/36
36(11)/4 = x
396/4 = x
x = 99
Part C Next, find the length of BC place point F at (4,4) and draw BF and FC now you hav the right ∆BFC with BC as the hypotenuse find BC and FC ising the coordinates of B,C, and,F then use the Pythagorean theorem to find BC show your work need help ASAP giving thanks and points away I just need these answer fast ???
Answer:
BF = |4 – 1| = 3
FC = |4 – 0| = 4
Using the Pythagorean Theorem to find BC:
BC2 = BF2 + FC2
BC2 = 32 + 42
BC2 = 9 + 16
BC = sqaure root 25
BC = 5
Step-by-step explanation:
The length of BC is 5 unit.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.
Using the Pythagorean Theorem to find BC:
BC^2 = BF^2 + FC^2
BC^2 = 32 + 42
BC^2 = 9 + 16
BC = √25
BC = 5
So, BF = |4 – 1| = 3
FC = |4 – 0| = 4
Learn more about Pythagoras theorem here:
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Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)
3
1
-1
5
Answer:
5
Step-by-step explanation:
This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.
I need help, please come answer this
Answer:
[tex]8 \times \frac{15}{5} - (5 + 9) \\8 \times 3 - (14) \\ 24 - 14 \\ = 10[/tex]
I hope I helped you^_^
HELP!!
Resolve into factors:
8 – 6а – 9a^2 + 27a^3
[tex]\\ \sf\longmapsto 8-6a-9a^2+27a^3[/tex]
[tex]\\ \sf\longmapsto 27a^30-9a^2-6a+8[/tex]
Take 3a common[tex]\\ \sf\longmapsto 3a(9a^2-3a-2)+8[/tex]
Hence done3(4p - 2) +3 = 2p - 5
no solution, one solution or infinitely many solutions?
Answer:
3(4p-2) + 3= 2p-5
12p-6 +3 = 2p-5
10p-3=-5
10p=-2
p=-1/5
There is one solution.
hope this helps!
Answer:
one solution
-0.2
Step-by-step explanation:
3(4p - 2) +3 = 2p - 5 Remove the brackets on the left
12p - 6 + 3 = 2p - 5 Combine
12p - 3 = 2p -5 Subtract 2p from both sides
12p - 2p - 3 = -5 Combine
10p - 3 = - 5 Add 3 to both sides
10p = -5 + 3
10p = - 2 Divide by 10
p = - 0.2
What is the simplified equation of 3 divided by the sum of the square root of 8 and the square root of 5?
Answer:
3/root8+root9
Step-by-step explanation:
3/root8+root9
Me ajudem
1- a) 5 ( x – 1) = 30
b) 3 (x + 10 ) – 2 ( x – 5 ) = 0
Answer:
a)7, b)-40
Step-by-step explanation:
a) 5(x-1)=30
=>5x -5=30
=>5x=30+5
=>5x=35
=>x=35/5
so, x=7
b)3(x+10)-2(x-5)=0
=>3x+30-2x+10=0
=>x+40=0
so,x=-40
I really need this answered!
Answer:
Its AA similaroty theorem
24 is between what integers
Answer:
23 and 25
Step-by-step explanation:
Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.
Answer:
Positive 23 and positive 25
Step-by-step explanation:
What does the lines mean around the x: |x|
Answer:
absolute value
Step-by-step explanation:
Answer:
This shows the absolute value of an integer.
Step-by-step explanation:
When you see the lines | | around a number, it should always give you the answer of that number's positive integer. So lets say I out | -2 | the answer for this equation should be 2.
PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.
Answer:
Hello,
p=0.1024
Step-by-step explanation:
The probability is the ratio of the areas of the 2 circles:
[tex]p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024[/tex]
Answer:
64/625.
Step-by-step explanation:
Probability = area of small circle / area of the large one
= 8^2 / 25^2
= 64/625
Evaluate ∫4x cos(2-3x)dx
Answer:
[tex]{ \sf{ \int 4x \cos(2 - 3x) dx = {4x}^{2} \cos(2 - 3x) + c }}[/tex]
Step-by-step explanation:
From integration by parts:
[tex]{ \boxed{ \bf{ \int u \: \frac{dv}{dx} = uv - \int v \: \frac{du}{dx} }}}[/tex]
let u be cos(2-3x) and let dv/dx be 4x:
[tex]{ \sf{ \frac{du}{dx} = 3 \sin(2 - 3x) }} \\ \\ { \sf{ v = \int 4x = 2 {x}^{2} }}[/tex]
Substitute in formular box:
[tex]{ \sf{ = (2 {x}^{2} \times \cos(2 - 3x)) - \int 2 {x}^{2} .3 \sin(2 - 3x) dx}} \\ = { \sf{2 {x}^{2} ( \cos(2 - 3x) - 3 \int \sin(2 - 3x)dx }} \\ { \sf{ = 2 {x}^{2} ( \cos(2 - 3x) - 3( - \frac{1}{3} \cos(2 - 3x) ) + c}} \\ { \sf{ = {4x}^{2} \cos(2 - 3x) + c}}[/tex]
Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form
Answer:
5/12
frsjnjjuvvffklomjyyrx
which of the following represents 10 on a number line
Answer:
don't understand....................
help?!?!??!!?!?????!
Answer:
[tex]n=10[/tex]
Step-by-step explanation:
[tex]\frac{4^8}{(4^2)^-^3}\ / 4^4=4^n[/tex]
Simplify, remember, an exponent raised to the power of another exponent is equal to the product of the two exponents,
[tex]\frac{4^8}{(4^2)^-^3}\ / 4^4=4^n[/tex]
[tex]\frac{4^8}{4^-^6}\ / 4^4=4^n[/tex]
Now bring the term in the denominator (number under the fraction bar) to the numerator (number over the fraction bar). This can be done by multiplying the exponent of the denominator by (-1).
[tex]\frac{4^8}{4^-^6}\ / 4^4=4^n[/tex]
[tex]4^8(4^(^-^1^)^(^-^6^))\ / 4^4=4^n[/tex]
Simplify,
[tex]4^8(4^6)\ / 4^4=4^n[/tex]
Remember, multiplying two numbers of the same base is the same as adding their exponents, apply this property here,
[tex]4^8(4^6)\ / 4^4=4^n[/tex]
[tex]4^1^4\ / 4^4=4^n[/tex]
Dividing two numbers of the same base is the same as subtraction their exponents,
[tex]4^1^4\ / 4^4=4^n[/tex]
[tex]4^1^0=4^n[/tex]
Thus, the following statement can be made,
[tex]4^1^0=4^n[/tex]
[tex]n=10[/tex]
HELP PLS HELPIf the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center are the foci located?
Answer:
4
Step-by-step explanation:
The distance between the center are the foci located 8 units.
It is required to find the focus is c.
What is ellipse?A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant.
Given that:
The length of the major axis is 2a,
length of the major axis
2a=10
a=5
The length of the minor axis is 2b.
Length of the minor axis
2b=6
b=3
The distance between the center and either focus is c,
c^{2} =a^{2} -b^{2}
c^{2} =5^{2} -3^{2}
c^{2} =25-9
c=8
So, the distance between the center are the foci located 8 units.
Learn more about ellipse here:
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what do you mean by Transformation?
Plz explain q22 in detail, and if you could the fastest way to do it.
Answer:
Hello,
Step-by-step explanation:
30°=π/6 (rad)
[tex]L=\theta*R=\dfrac{\pi}{6} *120\\\\=20*\pi\\\\\approx{20*3=60\ (cm)}[/tex]
2
50
70
85
96
Christina earned 70 on the test. Describe how the scores of Christina's
classmates compared to Christina's score.
A. about 1/4 scored higher, about 3/4 scored lower
B. about 314 scored higher, about 1/2 scored lower
C. about 3/4 scored higher, about 1/4 scored lower
D. about 1/2 scored higher, about 1/2 scored lower
Reset Selection
Given the five number summary, christina has scored 70 marks which is equal to the median of the test scores, therefore about [tex]\frac{1}{2}[/tex] class scored higher than her and [tex]\frac{1}{2}[/tex] class scored lower than her, making option (d) correct.
The five number summary is the descriptive summary of a data where in you are provided the lowest observation, first quartile, median, third quartile and the maximum observation.
Here, the first quartile is the observation which lies at a point in the ordered data that 25% observations are lesser than it and 75% are greater than it.
the median is the observation which lies at a point in the ordered data that 50% observations are lesser than it and 50% are greater than it.
the third quartile is the observation which lies at a point in the ordered data that 75% observations are lesser than it and 25% are greater than it.
As given in the data,
Christina's marks = 70
median marks = 70
christina's marks = median marks
therefore, by definition of median, about half class scored lower than christina and half more than her.
Learn more about median here
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The complete question is given below:
Given the five number summary as:
minimum = 2
first quartile = 50
median = 70
third quartile = 85
maximum = 96
Christina earned 70 on the test. Describe how the scores of Christina's
classmates compared to Christina's score.
A. about 1/4 scored higher, about 3/4 scored lower
B. about 314 scored higher, about 1/2 scored lower
C. about 3/4 scored higher, about 1/4 scored lower
D. about 1/2 scored higher, about 1/2 scored lower
Find the coordinates of a point that divides the directed line segment PQ in the ratio
5:3.
A) (4,5)
B) (-6, 6)
C) (2, 2)
D) (4,1)
Answer:
C
Step-by-step explanation:
Let the coordinates be (m, n) then by using the section formula we have
m=(5*8+3*(-8))/(5+3)=2
n=(5*(-1)+3*(7))/(5+3)=2
The point is (2,2)
Which of the following functions is graphed below?
15
10
5
-8 -6 -4 -2 0
2
4 6 8
ch
[x® -3,xs 2
A. y =
1x2 +6, x> 2
O B. y -
[x2 -3.x > 2
1x2 +6, 52
O c. y-{X-3,x<2
1x2 +6, xs 2
x < 2
O D. y =
(x² – 3, x<2
(x2 +6, x2 2
___________________A
The function that represents the inequality of the given graph is;
Option A
Graph Inequalities
From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.
Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.
Looking at the options, option A is right and we will prove it thus;
for y = x³ - 3
At x = 2, we see that;
y = 2³ - 3
y = 5
This corresponds with the given equation
For the second curve, for y = x² + 6;
At x = 2, we have;
y = 2² + 6
y = 4 + 6
y = 10
This corresponds with what is given and is thus correct.
Thus, option A is the correct answer
Read more about graphed inequalities at; https://brainly.com/question/11234618
Can someone help me on this math question its confusing ill give brainly when right!!!
Answer:
it is <
Step-by-step explanation:
Please help ASAP !!!☹️
Answer: quit
Step-by-step explanation:
it’s really easy .
