Answer:
[tex]d = \sqrt{85}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(5-3)^2+(-1-8)^2}[/tex]
[tex]d = \sqrt{(2)^2+(-9)^2}[/tex]
[tex]d = \sqrt{4+81}[/tex]
[tex]d = \sqrt{85}[/tex]
Factor completely x8 − 16. (x4 − 4)(x4 4) (x2 − 2)(x2 2)(x4 4) (x2 − 2)(x2 2)(x4 − 4) (x2 − 2)(x2 − 2)(x4 − 4).
By using identity we got the factorization form of [tex]x^8-16[/tex] as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
What is factorization?factorization is a way of writing any expression in form of product of some expressions
Given polynomial
[tex]x^8-16[/tex]
We can factorize it as
[tex]x^8-16\\\\(x^4)^2-4^2\\\\(x^4+4)(x^4-4)\\\\(x^4+4)((x^2)^2-2^2)\\\\(x^4+4)(x^2+2)(x^2-2)\\\\(x^4+4)(x^2+2)(x^2-(\sqrt2)^2)\\\\(x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
By using identity we got the factorization form of [tex]x^8-16[/tex] as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
To learn more about factorization visit :brainly.com/question/25829061
Answer:
B. 3x2y(3x2 − 2xy + y2)
Step-by-step explanation:
I just took the test <3
Find the length of KNJ
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
write 16/20 in simplest form
Answer:
Your answer is 4/5
Step-by-step explanation:
. Find the slope of the line through the points (-5, 86) and (95, 16).
The slope's equation is:
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
Since the two points are (-5,86) and (95,16)
⇒[tex]slope = \frac{16-86}{95--5} =-\frac{70}{100} =-\frac{7}{10}[/tex]
Thus the slope is -7/10.
Hope that helps!
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Step-by-step explanation:
Assume the deep end has a larger volume, the difference in volume between the deep end and shallow end is:
Volume of the deep end - Volume of the shallow end
= (2x^2 + 12x + 10) - (4x^2 - 100)
= (2x^2 - 4x^2) + 12x + 10 + 100
= -2x^2 + 12x + 110 ft^3
Lets subtract
[tex]\\ \tt\Rrightarrow 2x^2+12x+10-(4x^2-100)[/tex]
[tex]\\ \tt\Rrightarrow 2x^2+12x+10-4x^2+100[/tex]
[tex]\\ \tt\Rrightarrow 2x^2-4x^2+12x+10+100[/tex]
[tex]\\ \tt\Rrightarrow -2x^2+12x+110ft^2[/tex]
7th grade. reasoning about equations and tape diagrams
Answer:
so...
1. 3(x+6) = 24
2. 6(x+3) = 24
a) 3(x+6) = 24 is diego juice question
6(x+3) = 24 is show question
b) x in equation 1 is 2 because you work the equation backwards and the opposite way, 24/3 then - 6
x in equation 2 is 1 because you work the equation backwards and the opposite way, 24/6 then - 3
sorry but i do not understand question b and c, hope this helps though
i need help asap, pls help!!
Answer:
see below
Step-by-step explanation:
Since the triangles are congruent
<A = <X
< B = < Y
<C = < Z
That means B = Y = 90
And C = Z = 37
The sum of the angles of a triangle are 180
A+ B+ C = 180
A + 90+37 = 180
A +127 = 180
A = 180-127
A =53
A = X = 53
We also know
AB = XY
BC = YZ
AC = XZ
AB = 3 so XY =3
YZ = 4 so BC =4
XZ = 5 so AC = 5
please help no links may attach files or text box explanation
the answer picked may not be the answer please dont assume
Answer:
the rule is adding
Step-by-step explanation:
Answer:
You are right
Step-by-step explanation:
Pattern A: 0, 2, 4, 6, 8, 10
Pattern B: 0, 4, 8, 12, 16, 20
1/2 of 4 = 2
1/2 of 8 = 4
1/2 of 20 = 10
Hope this helps!
What are the values of s and t?
Answer:
s=144
t=36
Step-by-step explanation:
you minus 180 from 36 and you get 144 for s
then you minus 180 from 144 to get t
Answer:
t = 36°
s = 108°
Step-by-step explanation:
FE and DE are congruent. This means that triangle ΔDEF is isosceles.
Base angles (∠EFD and ∠EDF) in isosceles triangles are congurent.
∠EFD is 36°. This means that ∠t is also 36°
The measure of all the angles in a triangle is 180°
[tex]36+36+x=180\\72+x=180\\x=108[/tex]
∠s = 108°
Wrte 25x10^6 in standard form
Answer:
25x10^6= 25000000
Step-by-step explanation:
25000000
Consider the sequence -1,3,-9,27,-81
write an explicit formula to find the nth term.
find the 10th term of the sequence as well
Answer:
I don't know the answer but have a amazing day!<3
Step-by-step explanation:
Be happy.
what’s 1x2x5????
please answer this is urgenttt
Answer:
10
Step-by-step explanation:
2 x 5 = 10, the 1 does nothing to change the answer
Answer:
Its 10 its too easy . why are you asking this type of simple quesrion.
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now on sale for $24.99?
What is the percent change?
Answer:
50% change.
explanation:
original cost: $49.99final cost: $24.99change: $49.99 - $24.99 = $25
[tex]\sf percent \ change: \dfrac{\$25}{\$49.99} *100 \ \ = 50 \%[/tex]
if the cost of 10 books I'd Rs.300 find the cost of 4 books
Answer:
300 divided by 10 is equal too 30
and 30 times 4 is equal too 120
The Answer is 120
Step-by-step explanation:
David spends 3 hours to make a flower vase and 4 electronic toy cars. If he takes 75 minutes to make a flower vase and a toy car, how long is he taking to make a car?
What is the domain of Ax) = 4*?
O A. All nonnegative real numbers
O B. All real numbers greater than 4
O C. All real numbers
O D. All real numbers greater than or equal to 4
Answer: all real numbers!! <3
Step-by-step explanation:
1/3 plus -2 1/4 equals what
Answer:
-1 11/12
Step-by-step explanation:
1/3=4/12 -2 1/4= -9/4 = -27/12
4/12 + -27/12 = -23/12
-23/12 = -1 11/12
How long is 10% of a 24 hour day
Answer:
2.4 hours
Step-by-step explanation:
hsjwkwjwjwwiwjjwjw
Answer:
around 2hours and 24 mintues
Step-by-step explanation:
just divied it
which of these pairs of points defines a line with a slope 3/5
A. (0, 4) and (7, 5)
B. (4, 0) and (7, 5)
C. (4, 0) and (5, 7)
D. (0, 4) and (5, 7)
Answer:
DDD
Step-by-step explanation:
Juan is building a set for the school musical. He has a 3 foot board that he needs to divide into 1/2 foot pieces. How many pieces will he have after he cuts the board?
Answer: 6
Step-by-step explanation:
3 divide 1/2=3x2/1
3x 2/1=6
The diameter of a circle is 26 inches. What is the circle's area?
Use 3.14 for .
i will give brainliest
Answer:
530.66 inches²
Step-by-step explanation:
How do we find the radius?
The radius if 1/2 of the diameter, so 26/2 = 13 inchesHow do we find the area of a circle?
The area of a circle is πr², where r = radius. We are given the radius as 13 inches, and pi is approximated to 3.14.Solving
[tex]3.14*13^2[/tex] [tex]3.14*169[/tex] [tex]530.66[/tex]Therefore, the answer is 530.66 inches².
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Solution:
We know that:
Diameter = 26 in.Radius = Diameter/2Area of circle = πr²Finding the radius of the circle.
Radius = Diameter/2=> Radius = 26/2 = 13 in.Finding the area of the circle.
Area of circle = πr²=> Area of circle = (3.14)(13²)=> Area of circle = 3.14 x 169=> Area of circle = 530.66 in²Please Solve!! WILL GIVE BRAINLY!!
6b+7b<6b
Answer:
b is less than or equal to 0
Step-by-step explanation:
if we replace b with 0, the equation is true. if we take a number less then 0, for example -2, the equation is still true.
Answer:
6b-.6=7b
Step-by-step explanation:
The area of a rectangle is 81 square inches. Given that the length is 9 inches more
than twice the width, find the dimensions of the rectangle.
Answer:
I believe would be 9•3•3=81 I hope that helps
Write the converse of the following statement and determine its truth value:
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
for brainliest
Answer:
The converse is:
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value is:
True
Step-by-step explanation:
The statement can be split into:
p -> If a class has 3 left-handed people and 24 right-handed people,
q -> the ratio of lefties to righties is 1:8
The converse of a conditional statement is:
if q then p
So, we have the converse to be;
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value.
For p, we have.
Ratio = 3 : 24
This can be simplified to.
Ratio = 1 : 8
For q, we have:
Ratio = 1 : 8
Since both are true, then the truth value is true
As it emerges from the cross multiplication performed, the statement is correct.
Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:
1 = 3 8 = X 8 x 3 = X 24 = X
Therefore, as it emerges from the cross multiplication performed, the statement is correct.
Learn more in https://brainly.com/question/1504221
What is the simplified form of the following expression? 13[62 ÷ (52 – 42) + 9]
Answer:
197.6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write expression
13[62 ÷ (52 - 42) + 9]
Step 2: Brackets - Parenthesis (Subtract)
13[62 ÷ 10 + 9]
Step 3: Brackets - Division
13[6.2 + 9]
Step 4: Brackets - Addition
13[15.2]
Step 5: Multiply
197.6
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer: 3, 4, 5
Step-by-step explanation:
(1) False, those two angles added together would be equal to angle 1, not 4.
(2) False. Angles 2, 3, 5 added together would make 180, not 3, 4, 5.
(3) True, an interior angle and its corresponding exterior angle are supplementary.
(4) True by the exterior angle theorem.
(5) True because the angles in a triangle add to 180 degrees
If a(x)= 2x -4 and b(x) = x + 2, which of the following expressions produces a quadratic function? O (ab)(x) O(a/b)(x) O(a-b)(x) O(a+ b)(x)
Answer:
(ab)(x)Step-by-step explanation:
Given are 2 linear functions
Only their product can produce a quadratic function
So the correct option is
(ab)(x)Officer Brimberry wrote 24 tickets for traffic violations last week, but only 21 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
The percent decrease is %?
Answer:
12.5% decrease
Step-by-step explanation:
decrease = [(old - new) ÷ old] 100
d = [(24 - 21) ÷ 24]100
d = [3 ÷ 24]100
d = [0.125]100
d = 12.5%
The answer is 12.5 _ _ _ _
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hi i need help asap
A=
B=
Answer:
[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]
explanation:
[tex]\rightarrow \sf \sqrt[3]{x^{10}}[/tex]
insert -2 as x
[tex]\rightarrow \sf \sqrt[3]{(-2)^{10}}[/tex]
simplify
[tex]\rightarrow \sf \sqrt[3]{1024}}[/tex]
breakdown
[tex]\rightarrow \sf \sqrt[3]{2 * 8^3}}[/tex]
final answer
[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]
→ This a = 8 and b = 2
Answer:
[tex]8\sqrt[3]{2}[/tex]
Therefore, a = 8 and b = 2
Step-by-step explanation:
Substitute [tex]x=-2[/tex] into the expression:
[tex]\implies \sqrt[3]{(-2)^{10}}[/tex]
Apply exponent rule [tex](-a)^n=a^n[/tex] if n is even:
[tex]\implies \sqrt[3]{2^{10}}[/tex]
Apply exponent rule [tex]a^{b+c}=a^b \cdot a^c[/tex]
[tex]\implies \sqrt[3]{2^9\cdot2^1}[/tex]
Apply radical rule [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]
[tex]\implies \sqrt[3]{2^9}\sqrt[3]{2}[/tex]
Apply radical rule [tex]\sqrt[n]{a^m} =a^{\frac{m}{n}}[/tex]
[tex]\implies 2^{\frac{9}{3}}\sqrt[3]{2}[/tex]
Simplify:
[tex]\implies 2^3\sqrt[3]{2}[/tex]
[tex]\implies 8\sqrt[3]{2}[/tex]
Therefore, a = 8 and b = 2
Write the equation in standard form for the circle with radius 9 centered at the origin
Answer:
x² + y² = 81
Step-by-step explanation:
Standard form for the equation of a circle: (x - h)² + (y - k)² = r²
(where (h, k) is the center and r is the radius)
Given:
radius (r) = 9center of circle = (0, 0)⇒ (x - 0)² + (y - 0)² = 9²
⇒ x² + y² = 81