Step-by-step explanation:
Given parameters:
Coordinate = (-4, 0)
Equation of the line given; y = -3x - 1
Unknown:
The equation of the line perpendicular to this = ?
Solution:
To find the equation of the line perpendicular to the given line, we need to obtain the value of the slope from this equation first.
The slope of the perpendicular line will be the negative inverse of the one given;
Every straight line can be written as;
y = mx + c
Given line;
y = -3x - 1
the slope of this line = -3
A perpendicular line to this line will have a slope of;
[tex]\frac{1}{3}[/tex] a negative inverse of (-3)
Now,
Let us go ahead and find the intercept c;
y = mx + c
0 = [tex]\frac{1}{3}[/tex] x (-4) + c
c= [tex]\frac{4}{3}[/tex]
insert parameters:
y = [tex]\frac{1}{3}[/tex]x + [tex]\frac{4}{3}[/tex]
Multiply through by 3;
3y = x + 4
List the elements of the set given below.
{xlx is a digit in the number 241,532 }
Can someone help me please
Answer:
The set = {1, 2, 3, 4, 5}
Step-by-step explanation:
Let us explain how to solve this question
∵ The set = {x : x is a digit in the number 241,532)
→ That means the elements of the set are the digits of the given number
∴ The elements in this set are the digits of the number 241,532
∵ The digits of the number 241,532 are 2, 4, 1, 5, 3, 2
→ In any set of numbers,
Do not repeat any numberArrange the numbers∴ The elements of the set are 1, 2, 3, 4, 5
∴ The set = {1, 2, 3, 4, 5}
Let f be a differentiable function such that f(3) = 2.345 and f' (x) = ln (x^2+ 1). What is the value of f (5)?
A) 3.301
B) 5.631
С) 6.950
D) 7.976
Use a linear approximation to [tex]f(x)[/tex] centered at [tex]x=3[/tex]:
[tex]f(x)\approx f(3) + f'(3)(x-3)[/tex]
Then
[tex]f(5)\approx2.345+\ln(3^2+1)(5-3)\approx6.95[/tex]
which makes C the most likely choice.
Here we want to solve the differential equation, by finding the Taylor expansion of the function and evaluation we will find that f(5) = 6.950, so the correct option is C.
Taylor series the equation:Here we must start by doing a Taylor expansion of the function, remember that the Taylor expansion is given by:
f(x) = f(a) + f'(a)*(x - a) + ...
The series has more terms, but we can work with two to get an estimation, if we use a = 3 we get:
f(x) = f(3) + ln(3^2 + 1)*(x - 3) = 2.345 + ln(10)*(x - 3)
Now we evaluate this in x = 5 to get:
f(5) = 2.345 + ln(10)*(5 - 3) = 6.950
So the correct option is C.
If you want to learn more about Taylor series, you can read:
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Which is the correct form of the partial fraction decomposition for the expression 4x^3+3^2/(x+1)^2(x^2+7)^2
it's A
Answer:
A. StartFraction A Over x + 1 EndFraction + StartFraction B Over (x + 1) squared EndFraction + StartFraction C x + D Over x squared + 7 EndFraction + StartFraction E x + F Over (x squared + 7) squared EndFraction
Step-by-step explanation:
edge 2020
Given a = 4, b = -2 and c = 8, evaluate ab - bc. -4 -24 8
Answer:
-244
Step-by-step explanation:
(4)(−2)−(−2)(8)−4−248
Answer:
8
Step-by-step explanation:
ab - bc
(4)(-2) - (-2)(8)
= 8
F(x)=2(x-3)(x-2)(x+1)
Answer:
2x^3-8x^2+8x+12
Step-by-step explanation:
split them up
use distributive property
2x-6(x-2)
2x^2-4x-6x+12(x+1)
use distributive property again
2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12
simplify
2x^3-8x^2+8x+12
I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules
If you divide it by 2, then the answer is
x^3-4x^2+4x+6
{PLSSSSSSSSSSSSSSSSS I NEED HELPPP :((( Im giving away 30 POINTS
A train left a station at 8:00 am going at 45 mph. A second train left the station at 10:00 am going in the same direction at 55 mph. At what time will the second train catch up with the first train?
Answer:
at 12 pm they will meet
Step-by-step explanation:
common sense.
monica says the slope of a vertical line is 0. describe how you would explain mathematically, that she is correct
Answer: monica says the slope of a vertical line is 0. describe how you would explain mathematically, that she is correct
Step-by-step explanation: As she loads the boat with the supplies she will need, she ... What is the vertical change between: ... What do you notice about the slope of the line in Items 4a, 4b, and 4c? 6. ... 88 SpringBoard® Integrated Mathematics I, Unit 2 • Linear Functions ... 0 c. Does the function have a constant rate of change? If so, what is it? d.
Two trucks leave a factory at the same time. One travels east at 60 mph, and the other travels west at 30mph. In how many hours will they be 150 miles apart ?
7x+1 + 4x-3= 42
I need help on how to find x
7x + 1 + 4x - 3 = 42
11x - 2 = 42
add 2 to both sides
11x = 44
divide both sides by 11
x = 4
Hope this helps!
The distance between -18 and 15 is equal to _____.
18 - 15
-18 - 15
15 - 18
15 - (-18)
Answer:
15 -(-18)
Step-by-step explanation:
a double negative is basically a + sign. The distance between -18 & 15 is 33, so 15- (-18) or 15 + 18 is 33 is equivalent
Answer:
15 -(-18)
Step-by-step explanation:
Ilke is deciding whether to take his girlfriend on a dinner date or on a movie date the probability of this having a successful dinner is 55%. the probability of this having a successful movie day is 0.45.
Which of these events is more likely?
Answer:
The dinner date
Step-by-step explanation:
Solve the inequality below.
10x – 4 < 6x
Answer:
x<1
Step-by-step explanation:
Answer:
x<1
Step-by-step explanation:
you have to isolate the variable by dividing each side by factors that dont contain a variable
Do Instagram have a where to see who screenshot your story?
what is the name of the country highlighted in red
Answer:
well we need a map or a picture of what is hilighted in red
If you wrote 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative?
The exponent would be negative because the original number is greater than one.
The exponent would be positive because the original number is greater than one.
The exponent would be negative because the original number is less than one.
The exponent would be positive because the original number is less than one.
Answer:
the exponent would be negative because the original number is less than one
Step-by-step explanation:
example: 0,1= 1.10^-1
The exponent would be negative because the original number is less than one. Option 3 is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
0.0009763 can be written as a single-digit time power of ten by the following representation,
0.0009763 = 9.763×10⁻⁴
The power of the integer 10 is shown as the exponent. Here the value of the power of 10 is -4, as a result, the value of the exponent would be negative and it is due to the fact that the original number is less than one.
Thus, the exponent would be negative because the original number is less than one. Option 3 is correct.
Learn more about the integer exponent here:
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Can someone pls help ?
Which polygon has an interior angle sum of 1080°?
A polygon has 8 sides.
A polygon has 10 sides.
A polygon has 9 sides.
A polygon has 7 sides.
Answer:
first answer A
Step-by-step explanation:
it's the only one that has 8 sides
For a polygon to have an interior angle sum of 1080°, number of its sides will be 8.
Option A) polygon has 8 sides is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the sum of interior angles of a polygon is;
S = ( n − 2 ) × 180°
Where n is the number of sides.
Given that;
The sum of the interior angles S = 1080°Number of sides n = ?We substitute the value of the sum into our above equation.
S = ( n − 2 ) × 180°
1080° = ( n − 2 ) × 180°
( n − 2 ) = 1080° / 180°
n − 2 = 6
n = 6 + 2
n = 8
Therefore, for a polygon to have an interior angle sum of 1080°, number of its sides will be 8.
Option A) polygon has 8 sides is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
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Which only lists multiples of 18?
1, 2, 3, 4, 6, 9, 18
1, 2, 3, 6, 9, 18
18, 27, 36, 45
18, 36, 54, 72
Answer row 2
Step-by-step explanation:
Num
Which is more, 1 pound or 12 ounces?
Answer: 1 pound
Step-by-step explanation:
Need help ASAP.... only have 20 mins left
Answer:
-2
Step-by-step explanation:
one to the right and 2 down
rise over run so
2/1 equals 2 since down two there should be a negative
C = 2πr and C = 24, what is the value of r?
Answer:
3.81971863421
Step-by-step explanation:
24=2πr
12=πr
r=3.81971863421
Please hurry its urgent Thank you
Answer:
I'm sure it's D
can you also please mark me as brainliest?
thanks
sin 3A = cos (A – 70ᵒ), where A is an acute angle then
A = ________________ ᵒ.
Answer:
A = 40°
Step-by-step explanation:
[tex] \sin 3A = \cos (A – 70ᵒ) \\ \\ \cos(90 \degree - 3A) = \cos (A – 70ᵒ) \\ \{\because \: \cos(90 \degree - \theta) = \sin \theta \} \\ \\ (90 \degree - 3A) = (A – 70ᵒ) \\ \\ 90 \degree + 70ᵒ = 3A + A \\ \\ 160 \degree = 4A \\ \\ A = \frac{160 \degree}{4} \\ \\ \huge \red{ \boxed{A = 40 \degree}}[/tex]
this is the other one for that one i couldn't hold it
Answer:
d
Step-by-step explanation:
Add.
8/9x +11/15x
please help
Answer:
The answer should be 73x/45
sorry if I'm wrong
Step-by-step explanation:
Order the integers {0, |-20|, -3, 19, -13} from least to greatest
Answer:
-13, -3, 0, 19, 20
Step-by-step explanation:
Since |-20| equal 20 so -13 is the lowest
then -3
then 0
19; 20.
4y + 15 = 6y - 11 and 5p + 6 = 4p - 8
Explain how to solve
Answer:
The first one: y = 13
The second one: p = -14
Step-by-step explanation:
4y + 15 = 6y - 11
Add 11 to both sides.
4y + 26 = 6y
Subtract 4y from both sides.
26 = 2y
Divide both sides by 2
y = 13
5p + 6 = 4p - 8
Add 8 to both sides
5p + 14 = 4p
Subtract 5p from both sides.
14 = -1p
Divide both sides by -1
p = -14
Hope I helped :)
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Write this number in scientific notation 38200000
Look at attachment down below
Answer:
3.82 × 107
Step-by-step explanation:
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
Sally has $21.40 in dimes and quarters. There are a total of 200 coins. How many of each kind of coin does Sally have?
Solving by Systems - What is x and y?
( x = dimes ) ( y = quarters )
Answer:
x = 24 <-----------> y = 76
-----------------------------------------
24 dimes and 76 quarters. Hope this helps! :)
Later you have another chocolate bar. This time, after you give away 1/3 of the
bar, a friend breaks off 3/4 the remaining piece. What part of the original
chocolate bar do you have left?
Answer:
chocolate bar - 1 (whole number)
Step-by-step explanation:
[tex]1 - \frac{1}{3} \\ > \frac{3}{3} - \frac{1}{3} = \frac{2}{3} [/tex]
[tex] \frac{2}{3} - \frac{3}{4} \\ > \frac{2 \times 4}{3 \times 4} - \frac{3 \times 3}{4 \times 3} \\ \\ \\ > \frac{8}{12} - \frac{9}{12} [/tex]
so I switch it become
[tex] \frac{9}{12} - \frac{8}{12} = \frac{1}{12} [/tex]