Answer:
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
Step-by-step explanation:
We are given the following parametric equations:
[tex]x = t^2 + 1[/tex]
[tex]y = t^2 - 1[/tex]
We want to eliminate the parameter t. From the first equation:
[tex]x = t^2 + 1[/tex]
[tex]t^2 = x - 1[/tex]
Replacing in the second equation:
[tex]y = x - 1 - 1[/tex]
[tex]y = x - 2[/tex]
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
(20 Points)
In circle P, M^ ADB is 25°.
What is the m^ APB ?
☁︎
A:65
☁︎
B:40
☁︎
C:25
☁︎
D:50
Given:
In circle P, m∠ADB is 25°.
To find:
The m∠APB.
Solution:
Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.
From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.
By using the central angle theorem, we get
[tex]m\angle APB=2\times m\angle ADB[/tex]
[tex]m\angle APB=2\times (25^\circ)[/tex]
[tex]m\angle APB=50^\circ[/tex]
Therefore, the correct option is D.
A triangle has sides with lengths of 4 meters, 5 meters, and 6 meters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
because no pythagoras formula work here
Answer:
Lets solve it by phythagoras therom
[tex]alt^{2}[/tex] + [tex]base^{2}[/tex] = [tex]hypo^{2}[/tex]
[tex]6^{2}[/tex] = [tex]4^{2}[/tex] + [tex]5^{2}[/tex]
so, [tex]4^{2}[/tex] + [tex]5^{2}[/tex] would be equal to [tex]6^{2}[/tex]
[tex]4^{2}[/tex] + [tex]5^{2}[/tex] = 16 + 25
= 41
[tex]6^{2}[/tex] = 36
41 is not equal to 36
So it is not a right angled tringle.
Hope it helps
Please mark me as the brainliest
thank you
Find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text.(a) 11 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rules. (b) 8x1 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rules. (c) 3x31 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rule
Answer:
a) This integral can be evaluated using the basic integration rules. [tex]\int 11x^{4}dx = \frac{11}{5} x^{5}+C[/tex]
b) This integral can be evaluated using the basic integration rules. [tex]\int 8x^{1}x^{4}dx=\frac{4}{3}x^{6}+C[/tex]
c) This integral can be evaluated using the basic integration rules. [tex]\int 3x^{31}x^{4}dx=\frac{x^{36}}{12}+C[/tex]
Step-by-step explanation:
a) [tex]\int 11x^{4}dx[/tex]
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:
[tex]\int kx^{n}=k\frac{x^{n+1}}{n+1}+C[/tex]
so in this case we would get:
[tex]\int 11x^{4}dx=11 \frac{x^{4+1}}{4+1}+C[/tex]
[tex]\int 11x^{4}dx=11 \frac{x^{5}}{5}+C[/tex]
b) [tex]\int 8x^{1}x^{4}dx[/tex]
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:
[tex]\int 8x^{1}x^{4}dx=\int 8x^{1+4}dx=\int 8x^{5}dx[/tex]
So we can now use the power rule of integration:
[tex]\int 8x^{5}dx=\frac{8}{5+1}x^{5+1}+C[/tex]
[tex]\int 8x^{5}dx=\frac{8}{6}x^{6}+C[/tex]
[tex]\int 8x^{5}dx=\frac{4}{3}x^{6}+C[/tex]
c) The same applies to this problem:
[tex]\int 3x^{31}x^{4}dx=\int 3x^{31+4}dx=\int 3x^{35}dx[/tex]
and now we can use the power rule of integration:
[tex]\int 3x^{35}dx=\frac{3x^{35+1}}{35+1}+C[/tex]
[tex]\int 3x^{35}dx=\frac{3x^{36}}{36}+C[/tex]
[tex]\int 3x^{35}dx=\frac{x^{36}}{12}+C[/tex]
How do you differentiate y = 3x3 - 2x-4
Answer:
y' = 9x^2 + 8x^-5
Step-by-step explanation:
General Principle
y' = ax^b
y' = a*b * x^(b-1)
Solution
3x^3 = 3*3x^(3-1)
3x^3 = 9x^2
-2x^-4 = -2*-4 x ^(-4 - 1)
-2x^-4 = 8 x ^-5
Answer
y' = 9x^2 + 8x^-5
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
3 inches / 1.25 miles = x inches / 10 miles
x = 24 inches
Answer:
24 inches
Step-by-step explanation:
create a proportion of inches/miles = inches/miles
let x = # inches in 10 miles
3 / 1.25 = x / 10
cross-multiply:
1.25x = 30
x = 30/1.25
x = 24
Solve for n.
5 (n+11) = 5 • 9 + 5 • 11
4 less tha the product of a 5 and a number
Answer:
5+n(-4)
Step-by-step explanation:
this is the equation if that helps??
Answer:
5*N-4 five times a number n minus four
Ashley has a points card for a movie theater.
• She receives 25 rewards points just for signing up.
• She earns 2.5 points for each visit to the movie theater.
• She needs 45 points for a free movie ticket.
How many visits must Ashley make to earn a free movie ticket?
Answer:
8
Step-by-step explanation:
45 points for a free movie - 25 points = 20 remaining points needed
20 / 2.5 = 8
She would need 8 visits to earn a free movie ticket.
Answer:
8
Step-by-step explanation:
25+2.5x=45
subtract 25 from each side
2.5x=20
divide both sides by 2.5
x=8
Which equation matches the hanger diagram?
Answer:
D
Step-by-step explanation:
You can see that the hanger is perfectly balanced
So that means that:
5 ones = 2 x's
So:
1+1+1+1+1=x+x
simplified
2x=5
D
M M m Given the following triangle with the following angle values, solve for X,
Answer: x = 32
Step-by-step explanation:
Triangle angle sum theory states that the interior angles of a triangle sum to 180. Add all three angles up and set equal to 180 to solve.
33+ 37 + (3x+14) = 180. Combine like terms
84 +3x = 180. Subtract 84 from both sides.
3x = 96. Divide both sides by 3.
X = 32
A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?
I need help with this please
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=66°, and NO = 60 feet. Find the length of MN to the nearest tenth of a foot.
Answer: 65.7
Step-by-step explanation:
sinM=
hypotenuse
opposite
=
x
60
sin
66
=
60
x
sin66=
x
60
x
sin
66
=
60
xsin66=60
x
sin
66
sin
66
=
60
sin
66
sin66
xsin66
=
sin66
60
x
=
60
sin
66
=
65.6782
≈
65.7
feet
x=
sin66
60
=65.6782≈65.7 feet
Answer:
67
Step-by-step explanation:
Write 6^4 in expanded form. Then evaluate.
Answer:
expanded form: 6x6x6x6
answer: 1296
Step-by-step explanation:
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:
Answer:
[tex]\%Rate = 0.0142\%[/tex]
Step-by-step explanation:
Given
[tex]Population = 183000[/tex]
[tex]New\ Cases = 26[/tex]
[tex]Active\ Cases = 264[/tex]
Required
The incidence rate
This is calculated as:
[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]
[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]
[tex]\%Rate = 0.0001420765 * 100\%[/tex]
[tex]\%Rate = 0.01420765\%[/tex]
[tex]\%Rate = 0.0142\%[/tex] --- approximated
Hence, the incidence rate is 0.0142%
Multiply (x+2y)(x^2-xy+3y)
The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
Given that, (x+2y)(x²-xy+3y).
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
The product of two given polynomials is as follows
(x+2y)(x²-xy+3y)
= x(x²-xy+3y)+2y(x²-xy+3y)
= x³-x²y+3xy+2x²y-2xy²+6y²
= x³+x²y-2xy²+6y²+3xy
Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
To learn more about the product of polynomials visit:
https://brainly.com/question/16037613.
#SPJ2
5. Let f(x) = 3x3/4 and g(x) = -2x314 Find (f + g)(x). Please show work.
Answer:
I don't have a clue
Step-by-step explanation:
Add and Subtract Linear Expressions
1. Subtract m + 8 from 5m + 11.
Enter your answer in the box.
2. Add the two expressions.
−4.2x+3 and 2.5x−6
Enter your answer in the box.
Answer:
1. 4m + 3
2. -1.7x - 3
Somebody help me please,
When solving equations algebraically, Meghan and Meredith each got a different solution. Who is correct? Why did the other person not get the correct answer..?
Answer:
Meghan is correct, y=8
Step-by-step explanation:
8/2 = 4, 2/2 doesn't equal 4. When writing this algebraically, you would multiply 2 to leave the y alone. What happens to one side has to happen to the other, so you would multiply 4 by 2. You're left with y=8
Answer:
wanted my points
Step-by-step explanation:
Tell me the Definition of each Word listed (math)
Someone please help me
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
5x2( 2x + 7 ) − 2( 2x + 7 ) that's it.
Answer:
b
Step-by-step explanation:
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
which function is equivalent to F(x)=-4(x+7)^2-6?
[tex]\huge\mathfrak\orange{answer}[/tex]
Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.
[tex]f(x) = \red{-4(x+7)^2 - 6}[/tex]
[tex]f(x) = -4(x^2 + 14x + 49) - 6[/tex]
[tex]f(x) = -4x² - 64x - 196 - 6[/tex]
[tex]\underline{f(x) = -4x² - 64x - 202}[/tex]
(good luck :) and mark me brainliest if you're satisfied with my answer)
Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word
Answer:
You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.
Explanation:
3x² + 24x - 15 = 0
3(x² + 8x - 5) = 0
[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]
Then you can either use the box or pq method (since a is 1) to find working factors.
x² + bx + c → (x + p)(x + q).
p + q = b.
pq = c.
In this case with 3(x² + 8x - 5), b is 8 and c is -5.
This means we need two numbers that add up to 8 and multiply to -5.
Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.
1 + -5 = -4 ≠ 8
-1 + 5 = 4 ≠ 8.
Since we cannot find rational solutions, this cannot be factored, and so we must use another method.
ES LA OPERACION DE MOVER LOS EJES COORDENADOS EN EL PLANO COORDENADO A UNA POSICION DIFERENTE, MANTENIENDOLOS PARALELOS A LOS ORIGINALES Y EN EL MISMO SENTIDO
two classrooms held 62 desks. at this rate, how many desks would be needed for 15 classrooms?
HELPPPP PLEASE ASAP
Answer:
465
Step-by-step explanation:
If a classroom averages 31 desks (62/2=31) for 1 classroom, 31 multiplied by 15 is 465
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
4.4
2.1
E
С
Answer: 61.5
Step-by-step explanation: gave up on deltamath
Sam has $35 in his wallet. He spent 2/5 on his wallet. How many dollars does he have left?
Answer:
15
Step-by-step explanation:
Answer:
2/5×$35 = 2/1×$7 = 2×7 = $14