What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
The slope is 1/3
Rise/run
rises 1 and runs 3.
Positive slope.
Hope this helps and branliets would be appreciated
Related Questions
Integrate the following:
[tex]\displaystyle \int \frac{x^2}{x^2+x+3}\, dx[/tex]
Answers
Answer:
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx = - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Completing the SquareRearranging VariablesAlgebra II
Long DivisionCalculus
U-Substitution[Integration Trick 1] Numerator Split[Integration Trick 2] Completing the SquareIntegration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Rule 2: [tex]\int {f(x)+g(x)} \, dx =\int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Integration 1: [tex]\int {\frac{1}{u} } \, du =ln|u| + C[/tex]Integration 2: [tex]\int {\frac{du}{u^2+a^2} } = \frac{1}{a} arctan(\frac{u}{a} )+C[/tex]Integration 3: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} +C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx[/tex]
Step 2: Simplify Function
We do long division to simplify the function inside the function.
See Attachment for Long Division Work.
Once we do long division, our function becomes [tex]1-\frac{x+3}{x^2+x+3}[/tex]
Now we rewrite our Integral: [tex]\int ({1-\frac{x+3}{x^2+x+3} }) \, dx[/tex]
Step 3: Integrate Pt. 1
Distributive Integral [Int Rule 1]: [tex]\int {1} \, dx - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Integrate 1st Integral [Int 3]: [tex]x - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Step 4: Identify Variables Pt.1
Set variables for u-substitution.
u = x² + x + 3
du = (2x + 1)dx
Step 5: Integrate Pt. 2
Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} \int {\frac{2(x+3)}{x^2+x+3} } \, dx[/tex]Distribute 2 [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+6}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+1+5}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Int Trick 1]: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{x^2+x+3} } \, dx ][/tex](2nd Int) Complete the Square: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{(x+\frac{1}{2})^2 + \frac{11}{4} } } \, dx ][/tex]Step 6: Identify Variables Pt. 2
Set variables for u-substitution for 2nd integral.
z = x + 1/2
dz = dx
a = √(11/4)
Step 7: Integrate Pt. 3
[Integrate] U-Substitution: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + \int {\frac{5}{z^2 + (\sqrt{\frac{11}{4}})^2} } \, dz ][/tex]Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 1st Integral [Int 1]: [tex]x - \frac{1}{2} [ln|u| + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 2nd Integral [Int 2]: [tex]x - \frac{1}{2} [ln|u| + 5(\frac{1}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ) ][/tex]Distribute 5 [Alg]: [tex]x - \frac{1}{2} [ln|u| + \frac{5}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ][/tex]Distribute -1/2 [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5}{2\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Rationalize [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5\sqrt{11} }{11}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Resubstitute variables [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{x+\frac{1}{2} }{\sqrt{\frac{11}{4} } } )[/tex]Simplify/Rationalize [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} )[/tex]Rewrite [Alg]: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x[/tex]Integration Constant: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]And we have our final answer! Hope this helped you on your Calculus Journey!
hope this will help you........
You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.
Answers
Answer:
47.3feet
Step-by-step explanation:
The set up will give a right angled triangle.
The distance of the dog away from the cliff = 130 feet = adjacent side
Angle of depression = 20°
Height of the cliff = Opposite = x
Using the SOH, CAH, TOA trigonometry identity;
According to TOA;
tan theta = opposite/adjacent
tan 20 = x/130
Cross multiply;
x = 130tan20
x = 130(0.3639)
x = 47.3 feet
Hence the height of the cliff to the nearest tenth is 47.3feet
Help. Examine the figure below. Determine which of the following angle measures are correct PICK up 2 answers
Answers
Answer:
RPQ = 30 and QRP = 75
Step-by-step explanation:
First we need to find "x".
Since we know that all the angles of a triangle must equal 180 and we know that angles PQR and QRP are the same (Due to the fact that two of the lengths of the triangle are the same) we can set up an equation.
x + (2x + 15) + (2x + 15) = 180
1. we can drop the parentheses (when there is a + in front of an expression in parentheses, the expression remains the same)
x + 2x + 15 + 2x + 15 = 180
2. We can collect the like terms to simplify the equation. (x and 2x and 2x combine to equal 5x) (Remember that there is a hidden 1 behind an "x" without a number next to it)
(the two 15's add together to make 30)
This leaves us with this equation
5x + 30 = 180
3. Now we suptract the constant from 180 (The constant is 30)
5x = 180 - 30
5x = 150
4. Now we devide both sides by 5
x = 30
Next we can find all of the angles
PRQ = (2x + 15)
1. PRQ = (2(30) + 15)
2. PRQ = (60 + 15)
3. PRQ = 75
RQP = (2x + 15)
1. RQP = (2(30) + 15)
2. RQP = (60 + 15)
3. RQP = 75
RPQ = x
RPQ = 30
What is 2*9*10? This is for fun! The second answer gets brainiest!!
Answers
Answer:
180 ahhahaahahhahaahahahhaa
Answer:
180
Hope your having a good day, Love :)
Stay strong.
It is given that the lengths of two sides of a triangle are both 7 and the length of the remaining side is an integer. Find the maximum possible and the minimum possible perimeters of the triangle.
Answers
Answer:
Have you tried |-7|?
Step-by-step explanation:
what is 6+ 4 - 2 first to answer gets brainlist
Answers
Answer:
8
Step-by-step explanation:
Answer:8
Step-by-step explanation:
Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x
Answers
Answer:
i think it is 105
Step-by-step explanation:
180-125=55
180-(55+25)=105
*second 180 is triangle's total interior angle
can i plz get help wit 5(6x-10y+7)
5(6x−10y+7)
Answers
Answer:
5(6x -10y +7) (use the distributive property)
30x -50y +35 (simplest form)
Step-by-step explanation:
How can you evaluate 2º?
Answers
Can someone pls help me
Answers
Answer: x = 7
Step-by-step explanation:
7x+9=58
8x+2=58
These are congruent angles so they are the same value.
what’s the answer to this question ?????????????
Answers
Answer is is 2 .........
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answers
Answer:
22meter per second
Step-by-step explanation:
374/17=22
Answer:
Could I have branliest please and heart answer is below <>
Step-by-step explanation:
22
374meters. 17
(/). divided by (/)
17seconds 17
Equals 22 meters per second
There were 640 gallons of water in a 1,600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour.
If t stands for hours and the pool is being filled using the equation: 1600=320t+640, how many hours will it take to fill the pool?
Answers
Answer:
4
Step-by-step explanation:
do 320 +320 untill you get to 1,600
If f(x)= x+4/x, g(x) = x-2, and h(x)= 4x-1, what is (fohog)
Answers
Answer:The answer is d (fohog)= 4x-5/4x-9
Step-by-step explanation:
HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP
Answers
Answer:
Why do you need a step by step
Step-by-step explanation:
y=-3x+4
y=2x-1
what’s the solution?
Answers
Answer:
use desmos graphing calc. our teacher reccomended it to us
Step-by-step explanation:
PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1
Raise m to the 5th power, then multiply 8 by the result
Answers
Answer:
8m⁵
Step-by-step explanation:
m to the 5th power = m × m × m × m × m
= m⁵
Then multiplied by 8 = 8 × m⁵
= 8m⁵
Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.
Given f(x)= 10-2x, find f(7).
o -4
O 3
o 7
O 56
Answers
The value of f(7) is -4 for the function f(x) = 10-2x. option A is correct.-
The given function is f(x)=10-2x.
In the equation, the x represents the variable.
We have to find the value of f(7).
To find the value of f(7), we need to replace x as the value 7.
Plug in x as 7 in the function:
f(7)=10-2(7)
Solve the above equation:
f(7)=10-14
When 14 is subtracted from 10, we get -4.
f(7)=-4
Hence, the value of f(7) is -4 for the function f(x)= 10-2x.
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At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up. If Davonne at 11 slices, then how many slices did the runner-up eat?
Answers
Answer:the runner up ate 3.5 slices
Step-by-step explanation:
How many terms are in this expression ?-3x + 7y - 6 *
Answers
Answer:
3 terms in the expression
2x + 6 = 10 is an example of
A) Algebraic Inequality
B) Algebraic Expression
C) Verbal Expression
D) Algebraic Equation
Answers
2x + 6 = 10 is an example of Algebraic Equation
Answer:
D is the answer for the question
Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min
Answers
Answer:
If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️
Above sum solution....
one angle =x
other angle =y
According to question
x+y= 90°......(1)
x-y=22°......(2)
from one and two ....by eliminating method...
2y=68
y=68/2
y=34
put y in equation 1
x+y=90°
x+34=90°
x=90°-34
x= 56...
To verify add both
sum = 90°
Hence ..verified...
Step-by-step explanation:
hope its helps u...☺️✌️✌️
Answer:
13 degrees
Step-by-step explanation:
Find the slope of the line that passes through A(–2, –1), B(–1, 1)
A)1/2
B)-1/2
C)-2/1
D)2/1
Answers
Find the measure of each angle indicated
Answers
Answer:
D) 45 degrees
Step-by-step explanation:
145 = 100 + x
Subtract 100 from both sides
45 = x
OR
180 - 145 = 35
<FEG = 35
100 + 35 + x = 180
135 + x = 180
Subtract 135 from both sides
x = 45
Can someone help me on this? this one is confusing....
Answers
Answer:
The one you have selected is right
Step-by-step explanation:
A constant speed is a number being added or subtracted at the same right. In this case its 50 each time
50+50= 100
100+50=150
etc
The 2nd one is being multiplied by 10 and the 3rd one is adding 100 which wouldnt be right since you started out with 50.
Hope this helps (:
I'd love some help with this, and I'll mark brainliest! :))
Answers
Answer:
He will work out for a total of 2,835 min or 47.25 hours
He will not meet his minimum workout time for the18 week period
Step-by-step explanation:
The pattern is tat he adds 15 min each week to his work out regime:
Wk1: 30min Wk11:180min
Wk2: 45 min Wk12: 195in
Wk 3: 60 min Wk 13:210min
WK4: 75min Wk 14: 225 min
Wk5 90 min Wk15: 240min
Wk6: 105 min Wk16: 255 min
Wk7; 120min Wk17: 270min
Wk8: 135min Wk 18: 285min For a total of 2,835 min and divide by
60 to get the number of hours= 47.25 hours
Wk9: 150min
Wk 10: 165 min
On a coordinate plane, 2 lines intersect at (0, 1).
By observation, what is the solution to this system?
(–1, 0)
(1, 0)
(0, 1)
(0, –1)
Answers
Answer:
(0,1)
Step-by-step explanation:
i just did it
Answer:
(0,1) ur welcome!!
Step-by-step explanation:
George places $5,000 into an account that earns a simple interest of 4.3%. John places $5,500 into an account that earns 4%. Who has earned the most interest at the end of 6 years?
Answers
Answer/Step-by-step explanation:
George:
4.3% ÷ 100 = 0.043
0.043 × 5000 = 215
John:
4% ÷ 100 = 0.04
0.04 × 5500 = 220
End of 6 years:
George: 215 × 6 = 1290
John: 220 × 6 = 1320
John has earned the most interest at the end of 6yrs. $1320
[[[PLEASE HELP]]] I need to submit this in a few minutes
Answers
Answer:
3rd choice) $25.97
Step-by-step explanation:
24.50 * 1.06 = 25.97
Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48
Answers
Answer:
C. 8√3
Step-by-step explanation:
Please mark me as brainlest!
Thanks!
48√2 in the simplest form of the expression √192.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the √192 by factoring it into its prime factors:
192 = 2 × 2 × 2 × 2 × 2 × 3 × 3
Then, we can group the prime factors into pairs of two:
192 = (2 × 2) × (2 × 2) × (2 × 3) × 3
Simplifying each pair of factors under the square root gives:
[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]
Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:
[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]
Therefore,
48√2 in the simplest form of the expression √192.
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