Find the slope of the line.
Answer:
1. 2, 2. 1, 3. 5/4
Step-by-step explanation:
slope formula = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
1. 0 - 4/0 - 2 = 2
2. 1 - 4/1 - 4 = 1
3. -2 - 3/-3 - 1 = 5/4
help please!!
integrate the following:
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } [/tex]
Answer:
[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]
Step-by-step explanation:
we are given
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } dx[/tex]
we want to Integrate it
notice that, the denominator can be rewritten by using algebraic identity
remember that,
[tex] \displaystyle {a}^{2} - {b}^{2} = ( a + b)(a - b)[/tex]
therefore
rewrite the denominator by using the identity:
[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cos(x) - \cos( \alpha ) ) }{ \cos( x) - \cos( \alpha ) }dx [/tex]
reduce fraction:
[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cancel{ \cos(x) -\cos( \alpha ) ) }}{ \cancel{\cos( x) - \cos( \alpha ) } }dx[/tex]
[tex] \displaystyle \int \cos(x) + \cos( \alpha ) dx[/tex]
recall that,
[tex] \rm\displaystyle \int f(x) \pm g(x)dx =\int f(x) \pm \int g(x)dx[/tex]
by that
we get
[tex] \displaystyle \int \cos(x) dx + \int \cos( \alpha )dx [/tex]
we also know that,
[tex] \displaystyle \int \cos(x) = \sin(x)dx [/tex]
and also the Integration of a constant is always cx
so,
[tex] \displaystyle \sin(x) + x\cos( \alpha ) [/tex]
and of course we have to add constant
[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]
Please help fast!! I need to find x.
Answer:
80°
Step-by-step explanation:
If the intercepted arc is 80°, the angle has to be 80°
PLEASE HELP!!!!
This could be the graph of:
O A. In(x+3)-4
O B. In(x+3)
O c. ln(x) + 4
O d. In(x-3)+4
Answer:
D. ln(x-3) + 4
Step-by-step explanation:
There is a vertical asymptote at x=3, and this matches answer choice D!Answer:
d. ln(x-3) + 4
Step-by-step explanation:
(NO FILES) In a sequence of numbers, a3=7, a4=10, a5=13, a6=16, and a7=19. Which equation can be used to find the nth term of the sequence, an?
an=7n+3
an=3n+7
an=2n−3
an=3n−2
Answer:
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST EXPLANATION PLEASEEEE HAVE A GREAT DAY! :)
Answer:
The volume of this rectangular prism is 225 sqaure centimeters.
Step-by-step explanation:
The formula for finding volume is V = length * width * height
Substitute values in the formula:
5 * 15 * 3 = V
5 * 15 * 3 = 225
Hope this helps; have a great day!
make t the subject of k= t-e/2
Answer:
[tex]t=k+\frac{e}{2}[/tex]
Step-by-step explanation:
[tex]k=t-\frac{e}{2}\\t=k+\frac{e}{2}[/tex]
Angle ABC is inscribed in circle p the length of PC is 12 units the arc length of a c is 68/15 pi what is the measure of angle ABC in degrees
Answer:
68°
Step-by-step explanation:
The formula for arc length when central angle is in degrees =
Arc length = 2πr × θ /360
Arc length = 68/15π
Radius = the length of PC = 12 units
Hence:
68/15π = 68π/15 = 2 × π × 12 × θ /360
68π/15 = 75.4 ×θ /360
Cross Multiply
68π × 360 = 15 × 75.4 × θ
θ = 68π × 360/15 × 75.4
= 67.998398019°
Approximately = 68°
Therefore, the measure of central angle = 68°
Answer:
here is the answer, first find the circumference and then use the formula i've written there
HELP ME AND SHOW WORK PLEASE
Answer:
B) 1693.3
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
V = π7²(11)
V = 49(11)π
V = 539π
V = 1693.3
What is the amount of income tax in dollars and cents if a plumber makes $51,482 and has to pay a 5.5% income tax rate? $2,821.51
Answer:
$2,821.51
Step-by-step explanation:
The amount made be plumber = $51,482
rate of income tax = 5.5%
Therefore, amount of income tax in dollars and cents that would be paid by the plumber would be 5.5% of his amount made
= 5.5% of 51482
= (5.5/100)×51,482
= $2,821.51
PLEASE HELP I WILL MARK BRAINLIEST!! Have a great day:)
Answer:
The answer is D.
Step-by-step explanation:
It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.
Answer:
B
Step-by-step explanation:
B is an equation, not an expression
¿Qué cantidad de chapa se necesita para construir un depósito cilíndrico cerrado de 0,7 m de radio de la base y 1 metro de altura? Dibuja esquemáticamente su desarrollo y señala sobre él los datos necesarios. ¿Cuál es su capacidad en m3?
Answer:
a) 7.48 m²
b) 1.54 m³
Step-by-step explanation:
a) ¿Cuánta chapa se necesita para construir un tanque cilíndrico cerrado con un radio de base de 0.7 my una altura de 1 metro?
Debemos calcular el área de superficie de un tanque cilíndrico cerrado
radio = 0.7 m
Altura = 1 m
La fórmula = 2πr (h + r)
Por eso,
= 2 × π × 0.7 (0.7 + 1)
= 7.47699 m²
Aproximadamente = 7.48m²
b) Debemos encontrar la capacidad del cilindro en m³
Esto significa que debemos calcular el volumen del cilindro.
= π × r² × h
= π × 0.7² × 1
= 1.53938 m³
Aproximadamente = 1.54 m³
промінь ділить розгорнутий кут на два кути. знайди ці кути, якщо один з них на 20градусів більший за другий
Answer:
write it in English so I can understand
Hildie can type an average of 74 words per
minute. If she types for 45 minutes, how many
words has she typed?
Answer:
3,330
Step-by-step explanation:
you multiply 74 and 45
Answer:
3,330 words
Step-by-step explanation:
Hildie can type 74 words per MINUTE. And we know she typed for 45 minute, so we can just multiply 74 and 45.
Find the area of a regular hexagon with an apothem length of 12.1 and a side length of 14
Answer:
area = 520 units²
Step-by-step explanation:
divide the hexagon into 6 equal triangles.
each triangle has a base of 14 and a height of 12.1 so:
the area of one triangles = 1/2BH = 1/2(14)(12.1) = 86.8 units ²
86.8 x 6 triangles = 520.8 units²
PLEASE HELP!! no links please
Answer:
MAD IS THE MEDIUM AND SO THE AVERGE MARK IS 0.8
Step-by-step explanation:
Which of the following points best represent ...
Find the area of the shape shown please please help me find the area:)
Answer:
area = 32 units²
Step-by-step explanation:
area = (4 x 10 x 0.5) + (2 x 2) + (2 x 2 x 0.5) + (6 x 2 x 0.5) = 32 units²
If 2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after 2 years
Answer:
Account Balance = Principal x (1 + interest rate (decimal)) number of years, compounded annually.
Step-by-step explanation:
This is based on the information provided: 2121.80 (1.03)2 = 2000 So, on your initial deposit of 2000, you can collect 121.80 in interest after two years.
Find the area of the polygon with vertices
A(-6,-2), B(-6,5), C(2,5), and D(2,-2).
Answer:
its b or c
i hope this helps! if not im sorry.
Cassidy bought some shirts and pants for $214.She spent $60 on shirts. If Cassidy bought 7 pairs of pants for the same price each,how much was each pair?
A number written in proper scientific notation, a x 10", a is greater than 1 and less than 10. True or false
Could someone help me find an equation ❤️
Answer:
-(2/3)x+4
Step-by-step explanation:
For the slope you do rise over run, since the graph intercepts the y-axis at 4 and goes down to 0 the rise is -4 and from the same point the graph "runs" 6 the rise/run is -4/6 which can be simplified to -2/3. For the y-intercept you simply find where the graph touches the y-intercept and add (or subtract if the number is negative) that to the end of the equation.
What is the growth factor in the equation y=34•4^x
Answer:
so the growth factor is the base of the exponential term, so the base of y = 34 * 4^x is 4.
Find the dimensions of a rectangle if the area of the rectangle is 108 square meters
Answer:
it's your answer
Step-by-step explanation:
plz make me barinly least
5. Abbey represented the perimeter of the rectangle with the expression 8x + 4. Determine if Abbey's
expression is equivalent to Brit's expression. Justify your reasoning.
Answer: I believe it is
Step-by-step explanation: if you add 3x + 3x you get 6x. You would then add the like terms which are x + x ( x is equal to one) and that to 6x and you get 8x then add 2+2=4 and you get 8x + 4
Which expression is equivalent to this equation!!! Look at picture !! pls help !
4e+22 X 3200
4e+22 X 3200= ?
What subject is this in maths
Triangle KLM is similar to triangle NOP. Find the measure of side PN. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
60
P
O
M M
17 1
35
K
N
Answer:
ML/OP=MK/PN since sides of similar traingle are proportional
17/60=35/PN
PN=35×60/17=123.529=123.6 or 124
The measure of the side PN is 123.5.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles
Given that triangle KLM is similar to triangle NOP.
If two triangles are similar, then their corresponding sides will be proportional.
From the figure,
Corresponding side of LM is PO.
Corresponding side of MK is NP.
Corresponding side of LK is ON.
So LM / PO = MK / NP = LK / ON
17 / 60 = 35 / PN = LK / ON
We need the length of PN.
17 / 60 = 35 / PN
17 × PN = 60 × 35
PN = (60 × 35) / 17
PN = 123.5
Hence the measure of the side of the triangle is PN = 123.5.
To learn more about Similar Triangles, click :
https://brainly.com/question/14926756
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