Answer:
The question is written kinda bad, so i take the next two assumptions:
The original line is:
y = 5*x + 23
And we want to find a perpendicular line that passes through the point (-40, 2012)
Suppose that we have a linear equation:
y = a*x + b
A perpendicular line to this one, will have a slope equal to -(1/a)
Then a random perpendicular line to the one above, is:
y = -(1/a)*x + c
In this case, we start with the line:
y = 5*x + 23
Then the family of perpendicular lines to this one, will be like:
y = (-1/5)*x + c
Where c can be any real number.
Now, we also want this line to pass through (-40, 2012)
This means that when x = -40, the value of y must be 2012
We could replace these values in our equation above and solve it for c.
2012 = -(1/5)*(-40) + c
2012 = 40/5 + c
2012 = 8 + c
2012 - 8 = c = 2004
Then the equation is:
y = -(1/5)*x + 2004.
John is 14 years older than Sam and the product of their ages is 275. How old is Sam?
A. 11
B. 5
C. 3
D. 8
Answer:
A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The answer is A because 11+14=25 and you multiply 25 by 11 to see it equals 275.
A) an = 4 − 3
B) an = 4 + 1
C) an = 4 + 3
D) an = 4 − 1
Mr.Thompson entered a boat race. He rowed 3/12 miles in 12 hours. Find his average speed in mile per hour?
Answer:
it takes him 7/2 thirds to do 12 to find his average speed
Step-by-step explanation:
Order these from biggest to smallest output.
There is a sales tax of S6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before ta
Answer:
$150
Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150
d
Evaluate
arcsin
(6)]
at x = 4.
dx
Answer:
[tex]\frac{1}{2\sqrt{5} }[/tex]
Step-by-step explanation:
Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y
sin(y) = [tex]\frac{x}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)
[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]
cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]
= [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]
= [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]
Therefore, from equation (1),
[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
At x = 4,
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]
[tex]=\frac{1}{\sqrt{20}}[/tex]
[tex]=\frac{1}{2\sqrt{5}}[/tex]
7 x 7 ( __ x 7 ) + ( 2 x 7 )
= __ + 14
=
Answer:
Step-by-step explanation:
1) 5
2) 63
????
Which addition expression is equal to 4 times one-fifth?
One-ninth plus one-ninth plus one-ninth plus one-ninth
One-fifth plus one-fifth plus one-fifth plus one-fifth
Four-ninths plus four-ninths plus four-ninths plus four-ninths
Four-fifths plus four-fifths plus four-fifths plus four-fifths
Answer:
One-fifth plus one-fifth plus one-fifth plus one-fifth
Step-by-step explanation:
1/5 + 1/5 + 1/5 + 1/5 = 4/5 = 4 x 1/5
Answer:
5 'v'
Step-by-step explanation:
2. What is A-2) if f(x)= ?
F.-2
G. 1
H. O
I. 1
Answer:
F.-2...........................................
PLZZZZZZZ HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!! MARKKKK BRAINLEST!!!!!!!!
Answer:
A = 31.68°
B = 109.45°
C = 38.92°
Step-by-step explanation:
Law of cosine: cosA = (b²+c²-a²) / 2bc
a = x = 10 b = 18 c = 12
cosA = (18² + 12² - 10²) / 2*18*12 = 368/432 = 0.851
A = 31.68
cosB = (10² + 12² - 18²) / 2*10*12 = -80/240 = -1/3 = -0.333
B = 109.45
cosC = (10² + 18² - 12²) / 2*10*18 = 280/360 = 0.778
C = 38.92
check: A+B+C = 31.68 + 109.45 + 38.92 =180.05 ≈ 80°
Wish this help!!
7x ( 3 x 4) = ( 7 x 3) x4
what property
Commutative
Identity
Associative
Distributive
i’ll give the brain thing
(0,1) (3,-8) linear equation
Answer:
The answer is
[tex]y = - 3x + 1[/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1} [/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 8 - 1}{3 - 0} = \frac{ - 9}{ \: \: \: 3} = - 3[/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ - 8 = - 3(3) + b \\ - 8 = - 9 + b \\ \frac{ + 9 = + 9 \: \: \: \: \: }{1 = b} [/tex]
➌Third: Plug in.
[tex]y = - 3x + 1[/tex]
What is the value of the expression 4 × (2a − 1) if a = 3?
Answer:
20
Step-by-step explanation:
4 * (2a − 1)
Let a=3
4 * (2*3 − 1)
Simplify inside the parentheses first
4 * (6 − 1)
4 * (5)
20
Expand (−7n)4
A. −n(4⋅4⋅4⋅4⋅4⋅4⋅4)
B. (−7n)⋅(−7n)⋅(−7n)⋅(−7n)
C. −7(n⋅n⋅n⋅n)
D. −7n⋅4
CAN SOMEONE PLS HELP WITHT HSI ASAP
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
what does 11+(r+3) equal to?
Well, if we use the Associative Property, we can switch around the positions of the 11, which is out of the parentheses. So, what we do is we put 11 and 3 into parentheses and r out of the parentheses, which makes:
r + (11 + 3)
So, now we solve the parentheses:
r + (14)
And finally, remove the parentheses. So, therefore, the answer is r + 14.
In the expression below, what is the coefficient?
3y-4
Answer: 3y is the coefficient.
Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.
a worker has installed 65% of the tiles for a tile floor. If they installed 195 tiles so far, how many tiles are there total
Answer:
300 tiles.
Step-by-step explanation:
First, you divide 195 by 65 to get what 1% is. 195/65 = 3. 1% is 3. Then you multiply 3x100 because there is 100%. So that is 300 and that's why there are 300 tiles in total. Hope this helped! :)
please help, my teacher won't respond to email and everyone else is busy
Answer:
16.
x<5
hope this helps!!:)
Step-by-step explanation:
Solve by using elimination. Express your answer as an ordered pair.
answer choice
(3, 5)
(11, 36/7)
(5, 3)
(8, 6)
Answer: (5,3)
Step-by-step explanation:
How many days are there in one week? It is measured in the_______
A. ones
B. tens
C. thousands
D. hundreds
Answer:
A)ones
Step-by-step explanation:
a)How many days are there in one week?It is measured in the ones.
A.ones
CE is a perpendicular bisector. CE bisects the segment AB. If AB = 72 and FB = 5x+1. find X
Answer:
C.
Step-by-step explanation:
took the test
Please help
Answer fast
Answer:
k = 2
Step-by-step explanation:
Based on the right triangle altitude theorem, thus:
4 = √(k*8)
Square both sides
4² = k*8
16 = 8k
Divide both sides by 8
16/8 = 8k/8
2 = k
k = 2
Find the product of 6x and 2y2.
A) 24xy2
B)8x3
C)144x2y2
D)12xy2
What is the perimeter of the square below?
64m^2
plzit explain question the get really don't I
What is the total cost of a $75.00 item with a sales tax of 4%?
Answer:
Step-by-step explanation:
75+[(75*4)/100]=75+3=78
A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will land on an area that is white? *
Answer :
The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]
Explanation :
Given that,
A 7-by-7 foot rug is shown in figure.
Suppose, all parts are equal.
The area of rug is
[tex]A_{r}=7\times7[/tex]
Area of one part of rug is
[tex]A'_{1}=3.5\times3.5[/tex]
We need to calculate the probability that the coin will land on an area that is white
Using formula of probability
[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]
Put the value into the formula
[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]
[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]
[tex]P=\dfrac{1}{2}[/tex]
Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].
ok so i just need help on 23,24,25 and 26!!! i will make brain-list :)
Answer: 23 Yes
24. NO
25. Yes
26 yes
Step-by-step explanation:
What percent of 68 is 34?
Let the unknown number be x.
Answer:
50
Step-by-step explanation:
Lmk if this was the right way to do it or not lol
Please help it’s due tomorrow!