Answer:
the answers are three sides, closed figure and at least two sides the same length
Step-by-step explanation:
The attributes that represent the isosceles triangle should include three sides, a closed figure, and at least two sides of the same length.
What is an isosceles triangle?In terms of geometry, the isosceles triangle refer to the triangle where it does have two sides of the equal length. Also, it have exactly two sides of equivalent length.
Therefore, we can conclude that The attributes that represent the isosceles triangle should include three sides, a closed figure, and at least two sides of the same length.
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Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times the inverse tangent of the quantity x squared divided by 4, plus C one fourth times the natural log of x to the 4th power plus 16, plus C one fourth times the inverse tangent of the quantity x squared divided by 4, plus C the product of negative one fourth and 1 over the quantity squared of x squared plus 16, plus C
Answer:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]
Required
Solve
Let
[tex]u = \frac{x^2}{4}[/tex]
Differentiate
[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]
[tex]du = 2 * \frac{x}{4}\ dx[/tex]
[tex]du = \frac{x}{2}\ dx[/tex]
Make dx the subject
[tex]dx = \frac{2}{x}\ du[/tex]
The given integral becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 4u[/tex]
Square both sides
[tex]x^4= (4u)^2[/tex]
[tex]x^4= 16u^2[/tex]
Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]
Simplify
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
In standard integration
[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]
So, the expression becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
Help me with this. 30 points. Don't put bad answer please.
Answer:
The answer is A
Step-by-step explanation:
No 30 points put I ranked up
Thx
Ratio 7/11 two other ways
Answer:
Isn't it 7:11 and 7 to 11
Step-by-step explanation:
Determine the correct value of 3x + 2 when x = 5. Show your work
Answer:
17
Step-by-step explanation:
3 multiply by 5 (which is x) = 15+2
The value of function 3x + 2 at x = 5 will be 17.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The function is,
⇒ 3x + 2
And, The value of x = 5
Now,
The value of the function 3x + 2 at x = 5 is find as;
The function is,
⇒ 3x + 2
Substitute x = 5 in above equation as;
⇒ 3x + 2
⇒ 3 × 5 + 2
⇒ 15 + 2
⇒ 17
Thus, The value of function 3x + 2 at x = 5 will be 17.
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Look at the triangles shown below.
z
2
6
E
А
3 D
Which statement is true?
(Ity)
O SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2 6
(aty)
SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2
9 3
o SinceAAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
6 3
o Since AAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
NOH OH
T
Answer:c
Step-by-step explanation:
The statement which is true for the given expression triangle is, 9/(x + y) = 3/x. So option c is correct.
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔAEC
one segment BD which is intersecting sides AC & AE
ΔAEC has one similar triangle inside, which is ΔADB
Triangle ΔAEC and ΔADB similar,
So, we can say ΔAEC ≈ ΔADB
For the given similar triangles,
we can use angle-angle similarity property,
so, AE/AC = AD/AB
⇒ (3+6)/(x + y) = 3/x
⇒9/(x + y) = 3/x
Hence, the Statement C is correct
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BRAINLIEST Write an equation that represents the line
Use exact numbers
Answer: Steep. Its 50% steep.
What is the image of (-10,-6) after dilation by a scale factor of 1/2 centered at the origin?
The coordinate of resulting image after dilation is (-5, -3)
Dilation and scale factorsGiven the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))Image = (-5, -3)From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)
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sorry i answerd the wrong question.
the verified answer is correct
5-3The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD
Answer:
D. [tex] 9 \sqrt{2} [/tex]
Step-by-step explanation:
Side length of square = Perimeter/4 = 36/4 = 9
Length of diagonal (x)
[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]
rewrite 4.4.6.4.4.6 using exponents
Answer:
[tex]4^{4}[/tex]×[tex]6^{2}[/tex]
Step-by-step explanation:
There is 2 of the same number 6 and there is 4 of the number 4
I hope this helps
given f(x)=3x-5, find f(x+2)
Answer:
Step-by-step explanation:
Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function
f(x+2) = 3(x+2) - 5
= 3x + 6 - 5
=3x + 1
integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?
true or false? help pleasee
4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1
Answer:
D. 25p² - 1
Step-by-step explanation:
Each side length of a square = 5p
Length of rectangle = 5p + 1
Width of the rectangle = 5p - 1
Area of rectangle = Length × Width
Area of rectangle = (5p + 1)(5p - 1)
= 5p(5p - 1) +1(5p - 1) (distributive property)
= 25p² - 5p + 5p - 1
Area = 25p² - 1
PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.
Parking at the posh center costs d dollars per hour during the off hours and an extra $3 per hour during peak hours. During holidays, the basic rate of d doubles. Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?
PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.
THINGS TO REMEMBER:
the variable d represents dollarsCosts an extra $3 per hour during peak hoursWhile holiday's are going on the amount of d doublesFind how much parking would cost on a holiday during peak hour's-----
Question: Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
-----
Answer: 3d × 2 or 3d + 3d
-----
Explanation: This is because during holidays the amount of d doubles. However since this is on a holiday DURING peak hours it would be 3d × 2
-----
Question 2: Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?
-----
Answer: $15
-----
Explanation: Since d represents dollars we would multiply 2.50 times 3 which would give us 7.5 then we double this since it is during holidays giving us $15
-----
NOTE: I AM SO SORRY IF THIS IS WRONG AND I MISSED SOMETHING. IF IT IS WRONG THEN PLEASE MAKE SURE TO TELL ME SO I CAN FIGURE OUT WHAT I MISUNDERSTOOD
Again I'm sorry but I hope I helped a little bit.
The sum of three consecutive numbers is 405. What is the
3rd numbers
Answer:
136
Step-by-step explanation:
Let the three consecutive numbers be a, a + 1, a + 2
Therefore,
a + a + 1 + a + 2 = 405
3a + 3 = 405
3a = 405 - 3
3a = 402
a = 402/3
a = 134
Third number = a + 2 = 134 + 2 = 136
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
help, i need you to find the area
Answer:
98
Step-by-step explanation:
Formula Base * Height
7*14=98
Answer:
77 inches
Step-by-step explanation:
The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.
Hope it helps!
What times what equals -40 and add to make -3
Answer:
-8 and 5
Step-by-step explanation:
-8 × 5 = -40
-8 + 5 = -3
what is the answer of this question?
Answer:
Its B.
Step-by-step explanation:
Because [tex]11^{2}[/tex] + [tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]
121 + 144 [tex]\neq[/tex] 225
265 [tex]\neq[/tex] 225
Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the same amount of fruit. Maylin believes the greatest number of baskets they can make is 6, and Nina believes the greatest number of baskets they can make is 9. Determine who is correct. Explain how you know.
describe the error made by the person who was incorrect
Then determine the number of each fruit that will be in each basket. Show your work
Answer:Nina
Step-by-step explanation:
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
What is the value of X.
Answer:
x=5.25 or x=5 1/4
Step-by-step explanation:
These two angles are the same because they are vertical angles. We can write an equation to express this.
x+16=4x-5
Then solve.
x+16=4x-5
-x -x
16=4x-5
+5 +5
4x=21
x=5.25 or 5 1/4
in which table is y a linear near function of x will mark brainest
possibly c, I'm not that good with math
pls give brainliest
PLS HELP ME!!! this is my third time posting this! FIND X!
Answer:
You are looking at a pair of parallel lines (a and b) and a transversal that crosses them both.
Now that you know what think back to when you learned the relationship between angles formed by a transversal and a set of parallel lines.
You can have same side exterior, same side interior, alternate interior and alternate exterior. Which set of these are these angles?
Remember same side interior and same side exterior angles are supplementary (they have a sum of 180 degrees). Alternate interior and alternate exterior angles are congruent. Knowing this how can an equation be written using the expressions in the image?
Step-by-step explanation:
Answer:
x = 3.4
Step-by-step explanation:
Since these two angles are opposite exterior angles, they are equivalent. that means that 5x - 2/3 = 3 1/3x + 5, from here you should simplify the terms so you have all of x on one side and all of the number on ther other, it should be 1 2/3x = 5 2/3, then all you have to do is divide both sides by 1 2/3 to get x which is 3.4 or 3 2/5
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?
Answer:
let length be l and breadth 1/4×l
perimeter of the rectangle =600ft
2(l+1/4×l)=600ft
(4l+l)/4=600/2
5l=300×4
l=1200/5=240ft
Step-by-step explanation:
240ft is the length of a rectangular.
What is the largest of three consecutive odd integers whose sum is 105.
Write 60% as a
fraction in lowest terms.
Answer:
3/5
Step-by-step explanation:
60%
write as fraction 60/100
simplfy by 20 60÷20= 3
100÷20= 5
In a shop, a TV has a normal price of £500
The shop has a sale.
On Monday, the normal price of the TV is reduced by 1/10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%
Chris wants to buy the TV.
He has £400 to spend on the TV.
Does Chris have enough money to buy the TV on Tuesday?
Answer:
400> 360
Step-by-step explanation:
1/10 X 500 = 50
500 - 50 = 450
10% = 450/ 10 = 45
20% = 45 x 2 = 90
450 - 90 = 360
Chris does have enough 400> 360
HELP PLEASE!!
100 POINTS!!
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]
First, by the quotient property:
[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]
Since they both have the same base, their exponents must be equivalent:
[tex](-x+4)-(-3)=2x+1[/tex]
Solve for x. Simplify:
[tex]-x+7=2x+1[/tex]
Therefore:
[tex]3x=6\Rightarrow x=2[/tex]
Answer:
x=2
Step-by-step explanation:
:]
Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.
Answer:
عربيععربيعربيع ربيعربيعربيعربي
Step-by-step explanation: