Answer:
therefore 25 numbers lie inbetween.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.
Answer:
[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].
Step-by-step explanation:
We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.
[tex]x=4cos (t)[/tex]
[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]
[tex]y=4sin (t)[/tex]
[tex]\dfrac{dy}{dt}=4cos (t)[/tex]
Now,
[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]
[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]
[tex]\dfrac{dy}{dx}=-\cot t[/tex]
So, slope of the curve is [tex]-\cot t[/tex].
[tex]-\cot t=\dfrac{1}{2}[/tex]
[tex]-\tan t=2[/tex]
[tex]\tan t=-2[/tex] ...(1)
Using [tex]\sec^2t=1+\tan^2t[/tex], we get
[tex]\sec^2t=1+(-2)^2[/tex]
[tex]\sec^2t=1+4[/tex]
[tex]\sec t=\pm \sqrt{5}[/tex]
[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]
Now,
[tex]\sin^2t=1-cos^2t[/tex]
[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]
[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]
[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]
It equation (1), tan(t) is negative. So, sin and cos have different signs.
If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].
[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]
[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]
If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].
[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]
[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]
Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].
Given: 2x/4 = 5x+8/2 Prove: X =-2
alessialol I will add you back on snap and um I forgot y password to my other acc. so ya and whats the google classroom code?
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1. Sum of two numbers = 15
Difference of the numbers = 3
Find the numbers.
What is their product?
8+1/2(12)=x
Solve please
Answer
14
you have to simplify
8+1/2(12)
14
Please help! This is due at 11:59pm (the problem is stated in the photo)
Answer:
y=-5x
Step-by-step explanation:
this is because slope intercept form is y=mx+b
if m= -5 and b=0 the answer would be
y=-5x+0
simplified it would be
y=-5x
Please Help!! 10 Points!! Brainliest answer
Answer:
XW since it matches the same as IH
Step-by-step explanation:
example if it asked another question saying what corresponds with XY. XY is on the last part of the statement so it would correspond with IJ
are intersecting lines always coplanar
Answer:
yes
Step-by-step explanation:
Find the length of DE if D is between points C and E, CD = 6.5 cm and CE = 13.8 cm
Answer:
DE= 7.3
Step-by-step explanation:
you subtract the length if CE - CD to get DE
13.8 - 6.5 = 7.3
Algebra 1 9th grade
-2x=-18/3
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Step-by-step explanation:
F(g(x)) = -10x-13
First blank: -10
Second blank: -13
math 3- Piecewise defined function
Step-by-step explanation:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
Under the Declaration of Independence ordinary citizens have the right to do what and why?
Answer:
yes, ordinary netizens have a right to do what they want or what opinion they want to say. Declaration of Indepence is not just for powerful people but also for ordinary netizens in order for them to spek the truth
Find the value of x of this triangle.
Answer:
12x
Step-by-step explanation:
Answer: x = 35°
Step-by-step explanation:
A triangle adds up to 180°. Therefore, the equation to find the value of x is 110+2x = 180.Subtract 110 on both sides. 2x = 70Divide by 2 on both sides. x = 35°Whats value of x is in the solution set of 2(3x-1)>4x-6 A.-10 B.-5 C.-3 D-1
Answer:
B. -5
Step-by-step explanation:
3x-1 > 4x-6
+1
3x>4x-5
-4x
-x>-5
/-1 /-1
x>-5
16+24/8-6 is equal to________
Answer: The answer is 28. Hope this helps:)
Answer:
-1
hope this helps
plz mark brainleist
You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money
Answer:
The answer would be 18 years
Step-by-step explanation:
hope this helps:)
COMBINING LIKE TERMS: Challenge 7 – 3ab + 2a + 6ab + 5 – 4a + 3a – ab
Answer:
Hope this helps;))
Step-by-step explanation:
-3ab+6ab=3ab
2a-4a+3a=1a
7+5=12
12+3ab+1a
Answer:
-2+2ab-a
Step-by-step explanation:
Never combine unlike terms
Ex. Never combine a and ab
By following those rules, you will get -2+2ab-a as your answer.
27x^0y^-2 for x=4 and y=3
Answer:
A3=44 56-7
Step-by-step explanation:
Write an expression to represent the perimeter of the triangle below in simplest form
Answer:
Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Step-by-step explanation:
Perimeter of a polygon = Sum of the measures of all sides of the polygon
From the picture attached,
Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side
P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]
= [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]
= [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]
= [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]
= [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
60% of a class studied for the quiz. 70% of the class passed the quiz. If 12 people did not study for the quiz, how many students passed the quiz
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
solve for x. ax-bx=k
Answer:
x= k/a-b
Step-by-step explanation:
Move all terms to the left side and set equal to zero as well as each factor.
Hope this helps.
The value of x is k/ (a-b).
What is Algebra?algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
ax-bx=k
x(a-b)=k
x= k/ (a-b)
Hence, the value x is k/(a-b)
Learn more about algebra here:
https://brainly.com/question/24875240
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URGENT PLS HELP
BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.
order fruits from least to greatest according to the unit prices 0.84, 2.25, 1.17
Answer:
0.84, 1.17, 2.25
Step-by-step explanation:
Answer:
.84, 1.17, 2.25
Step-by-step explanation:
You can answer this on your own by finding which numbers are farther away from zero. So the farther you get from zero, the more you have.
Round to the number of decimal places stated in bracket.
2.374 [2]
Answer:
2.37
I hope this helps, also next time make sure your question makes sense
#2 - Simplify the expression. Type your answer with all lowercase letters and no spaces. * 3h - e + 2h - 5e
Answer:
5h-6e
Step-by-step explanation:
3h - e + 2h - 5e =
= 3h + 2h - e - 5e
= 5h-6e
Answer:
5h - 4e
Step-by-step explanation:
Add 3h and 2h to get 5h then subtract e from 5e which equals 4e
Hope this helps!
Convert 6 7/20
into a decimal
Hey there!
ANSWER: [tex]0.35[/tex]EXPLANATION:[tex]6 \frac{7}{20}[/tex] as a decimal
The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.
[tex]0.35(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Express in simplest form: 12 (2 + ) − (4 + )
Answer:
20
Step-by-step explanation:
12 (2 + ) − (4 + )
24-4
=20
Answer:
20
Step-by-step explanation:
William just accepted a job at a new company where he will make an annual salary of
$60000. William was told that for each year he stays with the company, he will be
given a salary raise of $5000. How much would William make as a salary after 5
years working for the company? What would be his salary after t years?
Salary after 5 years:
Salary after t years:
Answer:
Salary after 5 years: 60000+(5000)5= 85000
Salary after T years: 6000+(5000)t
Step-by-step explanation:
The way that you would find the amount of money needed after 5 years is by multiplying the 5000, since that is William's raise per year, and then adding 60000, which is the original salary.
In order to find William's salary after t years, since you do not have a number, but have t, you would want to multiply 5000, which is the yearly raise, and t, hich can be any amount of years. After that, you would want to add William's original income to find an answer.
Tier: Homework 1
Solve 2(4y - 5) = 14 983
Answer:
y = 1874.25
Step-by-step explanation:
2(4y - 5) = 14 983
2*4y + 2*-5 = 14983
8y - 10 = 14983
8y = 14983 + 10
8y = 14993
y = 14993/8
y = 1874.25
Answer:
Step-by-step explanation:
2(4y - 5) = 14
8y - 10 = 14
8y = 24
y = 3