Answer:
[tex]i) \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] = \frac{y {}^{1} - y {}^{2} }{x {}^{1} - x {}^{ {}^{2} } } [/tex]
[tex] = \frac{ - 5 - ( - 1)}{ - 8 - ( - 2) } [/tex]
[tex] = \frac{ - 4}{ - 6} [/tex]
[tex] = \frac{2}{3} [/tex]
Find the distance between points (1, 3) and (9, 18) on the coordinate plane.
find 3 values of x and y that satisfy the equation y = 3x - 2
Answer:
x = 1, y = 1
x = -2, y = -8
x = 3, y = 7
Step-by-step explanation:
find the postive value of x when y = 25
please help me thank you
Answer:
2.4 cm
Step-by-step explanation:
1.2/3 = 0.96/x
x = (3 *0.96) / 1.2
x = 2.4 cm
Convert a mark of 72 out of 120 to a mark out of 300
Answer:
180 out of 300
Step-by-step explanation:
Basically,
300÷120=2.5
Thereof,
72×2.5=180.
Hope this helps!
tag brainliest please...
Which tenths is 8.275 between
Answer:
8.3
Step-by-step explanation:
5.) Dynasti works in a department store selling clothes. She makes a guaranteed salary of
$1250 per week and is paid a commission of 15% of her sales. Write an equation to model the
situation
How much money will Dynasti make if she sells $4,000 worth of clothing?
Answer: y = .15x + 1250
y = weekly salary
x = sales
Step-by-step explanation:
14/25, 29/50, 53/100, 13/20, 3/5. Convert them into decimals
Answer:
14/25=0.56
29/50=0.58
53/100=0.53
13/20=0.65
3/5=0.60
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the
cost, C, after h, hours of babysitting. How much will Nicole make after babysitting for 10
hours?
[tex] \sf \: please \: answer \: and \: do \: not \: spam[/tex]
¢αяσυѕєℓ :)
It's based on integrals....
Hello Carousel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve the integral.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex]
First, let's take I as ⇨ [tex]\tt \:\int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x + 1}} \: dx \\ [/tex].
[tex]\tt \:I = \int \: \frac{ x + 2 }{( {x}^{2} + 3x + 3) \sqrt{x +1}} \: dx \\\tt \: I =\int \: \frac{ x + 2 }{( {x}^{2} + 2x + 1 + x + 2) \sqrt{x + 1}} \: dx \\ \tt \:I =\int \: \frac{ x + 2 }{( ({x + 1}^{2}) + x + 2) \sqrt{x + 1}}[/tex]
Let, x + 1 = m² => dx = 2mdm.
[tex]\tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: m} 2mdm \\ \tt \:I =\int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 \cdot \: \bcancel{ m}} 2 \bcancel{m}dm \\ \tt \: I = \: \int \: \frac{ {m}^{2} + 1}{ {m}^{4} + {m}^{2} + 1 } 2dm[/tex]
Now, divide the numerator & denominator by m²....we'll get it as...
[tex]\tt \:I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{ {m}^{2} + 1 + \frac{1}{ {m}^{2} } } \: dm \\\tt \: I =2\int \: \frac{ 1 + \frac{1}{ {m}^{2} } }{( {m}^{2} + \frac{1}{ {m}^{2} } - 2) + 3} \: dm \\\tt \: I =2\int \: \frac{ (1 + \frac{1}{ {m}^{2} }) \: dm }{ ({m} - \frac{1}{ m } ) ^{2} + 3} [/tex]
Now, let m - 1/m be t => (1 + 1/m²) dm = dt
[tex]\tt \:I =2\int \: \frac{ dt}{ {t}^{2} + 3 } \\ \tt \:I = 2\int \: \frac{ dt}{ {t}^{2} + ( \sqrt{3}) ^{2} }[/tex]
We know, [tex]\tt \:\int \: \frac{dx}{ {x}^{2} + a ^{2} } = \frac{1}{a} tan ^{ - 1} (\frac{x}{a} ) + c[/tex]...therefore...
[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{t}{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 1}[/tex]
Now, substitute the value of 't' in eq. 1..we'll get..
[tex]\tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{m - \frac{1}{m} }{ \sqrt{3} } ) + c \: \rightarrow \boxed{ \tt \: eq. \: 2}[/tex]
Now, substitute the value of 'm' in eq. 2...we'll get...
[tex] \tt \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{ \sqrt{x + 1} - \frac{1}{ \sqrt{x - 1} } }{ \sqrt{3} } ) + c \\ \tt \:I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x + 1 - 1}{ \sqrt{3} \sqrt{x - 1} } ) + c \\ \boxed{\boxed{ \bf \: I = \frac{2}{ \sqrt{3} } {tan}^{ - 1} ( \frac{x }{ \sqrt{3 (x - 1} )} ) + c }}[/tex]
The correct answer is Option B.__________________
The question is really long & tricky but once you get the hang of it you'll be good. Good luck!__________________
Hope it'll help you!
ℓu¢αzz ッ
please help me. i dont know how to do it.
Answer:
[tex]A = 48.815[/tex]
Step-by-step explanation:
[tex] \frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } [/tex]
[tex] \frac{12.5}{ \sin(A) } = \frac{15.4}{ \sin(68) } [/tex]
[tex]12.5 \sin(68) = 15.4 \sin(A) [/tex]
[tex] \frac{12.5 \sin(68) }{15.4} = \frac{15.4 \sin(A) }{15.4} [/tex]
[tex] \sin(A) = \frac{12.5 \sin(68) }{15.4} [/tex]
[tex] A=\sin ^{ - 1} ( \frac{12.5 \sin(68) }{15.4} ) [/tex]
[tex]A = 48.815[/tex]
How much will it cost for him to buy 3 dozen using the rate $12.00 for 20 cookies?
what is one third of 16
Answer:
It is 16over 3or 5.333333333333
Step-by-step explanation:
1/3*16=16/3
16/3=5.33333333333333
14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.
Answer:
b = 2S/n - a.
Step-by-step explanation:
S=n/2(a + b)
a + b = S / n/2
a + b = 2S/n
b = 2S/n - a.
If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].
What is an arithmetic sequence ?An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.
Here, a and b are the first and the last terms respectively and n is the number of terms.
Therefore, the sum of the arithmetic sequence is:
S = n/2(a + b)
⇒ 2S/n = (a + b)
⇒ b = (2S/n) - a
Learn more about an arithmetic sequence here: https://brainly.com/question/25715593
#Tag #SPJ2
A rectangle has dimensions x and x + 5. Determine the value of x that gives the rectangle an area of 36 cm^2.
a) 9
b) 4
c) 6
d) none of these
none of these i guess
help fast pleaseee
NO RANDOMS
Answer:
a)-30
b)-60
c)98
d)-54
Step-by-step explanation:
320/-4
-180/3
-14X-7
6X-9
Given the function f(3) = -2x + 5. What are three possible points?
Answer:
(3,-1)
Step-by-step explanation:
Please answer the question for brainliest!
Answer:
x = 14
Step-by-step explanation:
10x-30+5x = 180
Combine like terms
* 15x-30 = 180
Add 30 from both sides
* 15x 30+-30 = 180+30
Divide 15 both sides
* 15x/15x = 210/15x
x = 14
Hope this helps :)
hhhhhhhhhhhheeeeeeeeeelllllpppppppppp me
Answer:
m<b=107º
Step-by-step explanation:
180-41-32=107
D and B are congruent
i need help please with this
Answer:
Thus, width is 6 and length is 25.
Step-by-step explanation:
Let us assume the width is x, then, the length is (4x+1).
Therefore, 2x + 2(4x+1) = 62
Or, 2x + 8x + 2 =62
Or, 10x = 60
Or, x = 6
Answer:
27 units.
Step-by-step explanation:
The perimeter is equal to 2 x length + 2 x width.
If the width is 4 then:
62 = 2 x length + 2 x 4
62 = 2 x length + 8
Then, we can subtract 8 from both sides.
54 = 2 x length
Next, divide both sides by 2
27 = length
so,
The length is 27 units.
8 and 10 in independent practice please
Answer:
8.) Rational
10.) Irrational
Step-by-step explanation:
8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.
10.) This is irrational because it is a repeating decimal with seemingly no pattern.
42 divided by (-7) =
the answer is -6.
the negative 7 turns the answer negative.
what is
m(x)=4x+15; m(x)=7
Answer:
x = -2
Step-by-step explanation:
m(x) = 4x+15; m(x) = 7
7= 4x+15
7-4x=15
-4x=15-7
-4x=8 / :(-4)
x= -2
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°
will give brailist to correct answer and if you show the work
The sum of the measure of angle of a triangle = 180° .
Given two angles = 92° and 72°
_________________________92° + 72° = 164°
180° - 164° = 16° (Ans)
Answer:
the answer is 16!
help please, please anybody
Answer:
the answer is the third one 3
what is the answer?
8^-3
Answer:
-72
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]a^{-m}=\dfrac{1}{a^{m}}\\\\8^{-3}=\dfrac{1}{8^{3}}=\dfrac{1}{8*8*8}=\dfrac{1}{512}[/tex]
PLEASSEEE HELP THIS DUES ON MONDAY AND I CAN'T FIGURE IT OUT PLS HELP PLSSSSSSSSS
Answer:
carltzy Poland in ngayon
Please help me as soon as you can.I will give you 30points and who answers the quickest will be the brainiliest
PLZ HELP MEEEEEE
Kaltin will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $75 and costs an additional $0.70 per mile driven. The second plan has no initial fee but costs $0.90 per mile driven. How many mlles would Kaltlin need to drive for the two plans to cost the same?
Answer:
x equals 375
Step-by-step explanation:
75+0.70x=0.90x
[tex]\sf 3x+44=50[/tex]
Answer:
2
Step-by-step explanation:
1) Subtract 44 from both sides of the equation
3x + 44 - 44 = 50 - 44
2) Simplify
a. Subtract the numbers
3x = 50 - 44
b. Subtract the numbers
3x = 6
3) Divide both sides of the equation by the same term
3x/3 = 6/3
4) Simplify
a. Cancel terms that are in both the numerator and denominator
x = 6/3
b. Divide the numbers
x = 2