If an electric circuit is not grounded, it is best to reach out and touch it to
provide the ground.
O A. True
O B. False
Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?
Answer:
A'(7,3), B'(11,7) and C'(9,5).
Step-by-step explanation:
The vertices of given triangle are A(4,5), B(8,9), and C(6,7).
Given rule of translation is
[tex](x,y)\rightarrow (x+3,y-2)[/tex]
We need to find the vertices of triangle A'B'C'.
Now,
[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]
[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]
[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]
Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
If you draw a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8} A. 2 B. 3 C. 4 D. 5
Answer:
if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8
Step-by-step explanation:
there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8
Answer:
4 possible outcomes
Step-by-step explanation:
please mark me brainliest!
Another question worth brainliest and 30 points!
But give me correct answers and i’ll give it to u
Write 18 in lowest terms
30
A. 3/10
B. 3/5
C. 4/5
D. 6/10
Answer:
B. 3/5
Step-by-step explanation:
I actually dont know how to explain srry
Answer: B; 3/5
Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.
First, 18/30=.6
Now we have to convert the following multiple choice into decimals to find out which is equivalent.
3/10=.3 --> This is not .6 so this is incorrect
3/5=---->.6, so this is one choice we could pick
4/5--->.8, so this is incorrect
6/10---> which is also .6, so this option qualifies.
But then, in the question it states the lowest terms. So your answer would be 3/5.
hope this helps
-Carrie
P.S. be sure to mark BRAINLIEST
Simplify. 12x^4y^5+8x^3y^7-16x^2y^6 over 4xy^5
Answer:
3x^3+2x^2y^2-4xy
Step-by-step explanation:
You should Photomath really good for math problems
Please answer the question stated below
Answer:
76.58 feet.
Step-by-step explanation:
A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.
Answer:
132.25 feet
Step-by-step explanation:
total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75
additional rope needed= 300-167.75= 132.25
Step-by-step explanation:
What is the area of the composite figure?
(6pi+4) cm
O(6pi+16) cm
0 (12pi +4) cm
0 (12pi+16) cm
2 cm
Answer: [tex]6\pi +4[/tex]
Step-by-step explanation:
The normal formula for area of a circle is [tex]\pi r^2[/tex] so remember it. Itll be important for the rest of your life. Now this isnt a normal circle, this is a semi circle. So, you should divide by 2.
Three Semi-Circles:
We are given the radius which is 2 cm. [tex]\frac{\pi2^2 }{2} =2\pi[/tex]
Now we gotta multiply that answer by 3 because there are three semi circles.
[tex](2\pi )(3)=6\pi[/tex]
Area of a Square:
This is simple, do [tex]s^2[/tex] to get 4
Pls, help! I really need it! THANKS!! I'm giving 15 points + BRAINLIEST
THANK YOU NOW PLS HELP ME
Answer:
k= 112
Step-by-step explanation:
12y = 7z
y= 7z/12
_________
3x =8y
3x= 8× 7z/12
3×=56z/12
36x=56z
x=56z/36
_________
zk=72x
zk= 72 ×(56z/36)
k= (72×56)/36
k=112
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month? The prepaid phone plan will have a steeper line and lower y-intercept. The contracted phone plan will have the same steepness and a higher y-intercept. The prepaid phone plan will have a less steep line and the same y-intercept. The contracted phone plan will have a steeper line and same y-intercept.
Answer: A; The prepaid phone plan will have a steeper line and lower y-intercept.
"The prepaid phone plan, whose cost is $0.20 per minute, will means the usage increases as time increases means that this will have a steeper line and lower y-intercept since it has no monthly fee, Contracted phone plan, whose fee is still $0.02 would have a less steep line and a higher y-intercept because the plan requires monthly fee of $50."
Hope this helps
-Carrie
Please mark brainliest :)
A. The prepaid phone plan will have a steeper line and lower y-intercept.
What are given here ?Grace is comparing plans of cell phone.
A prepaid phone plan costs $0.20 per minute and has no monthly fee.
A contracted phone plan costs $50 per month and $0.20 per minute
What will be the type of graph ?Time increases as usage of the prepaid phone increases, which cost $0.20 per minute. So, the line will be steeper. There is no monthly plan in prepaid phone, so lower y-intercept seen in the graph.
The cost of contracted phone is $0.20 per minute, so the line is less steeper. Again, contracted phone has monthly plan of $50 per month, so the y intercept will be higher.
Learn more about graph here :
https://brainly.com/question/14323743
#SPJ2
what is the volume of a prism with a height of 4 feet and a base area of 9 square feet?
Answer:
36 units³
Step-by-step explanation:
To find the volume of a prism, you must multiply the base times the height. 4×9=36.
Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the solution to the inequality 8(7 - x) < 64?
a. X<-1
b. x<1
C. X > -1
d. x > 1
Answer:
C) x > - 1
Step-by-step explanation:
8(7 - x) < 64
56 - 8x < 64
56 - 64 < 8x
- 8 < 8x
- 1 < x
x > - 1
Answer:
The answer is c, or x > -1.
Step-by-step explanation:
Problem: 8(7-x) < 64
Distributive Property - So multiply 8 by both 7 and x individually
56 - 8x < 64
Subtract 56 from both sides
-8x<8
Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.
x>-1
Hope that helped!
Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5
Answer:
1
Step-by-step explanation:
Answer:
B. x=8
Step-by-step explanation:
The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.
(12x+8)+(8x+12)=180
Combine like terms. Add all the terms with a variable, then the terms without a variable.
(12x+8x)+(8+12)=180
20x+20=180
Now, solve for x by isolating x. Perform the inverse operation to both sides.
20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.
20x+20=180-20
20x=180-20
20x=160
x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.
20x/20=160/20
x=160/20
x=8
x is equal to 8, and B is the correct answer.
The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?
Hey there! I'm happy to help!
The perimeter is all of the sides of a shape added up.
Since all of the sides on a square are the same and we know one side, we just multiply it by four.
2.59(4)=10.36
Therefore, the patio is about 10.56 meters.
I hope that this helps! :D
Answer:
The best estimate is 10. Trust me, I did this assessment too.
Step-by-step explanation:
2.59 x 4 = 10.36. So it's 10.
What additional information could be used to prove that
AABC - ANML? Check all that apply.
O ZB ZM
O AABC is a right triangle.
AABC was rotated and dilated by a scale factor
between 0 and 1.
AABC was translated right and down.
OLC ZL
Answer:
A
C
E
that's the answer I got it right
on Edg
i cant get the symbold so i had to do it like this :)
Answer:
b
Step-by-step explanation:
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
Which statements are symmetric reflexive or transitive
Answer: 1st is reflexive
Step-by-step explanation:
Kim is 4/5 as old as Alan. In four years, she will be 5/6 as old as he will be. How old is each now?
(Please show all your work, with statements)
Answer: Kim is 16 and Alan is 20
Kim => x
Alan => y
Kim is 4/5 as old as Alan => [tex]x=\frac{4}{5}y[/tex]
In four years, she will be 5/6 as old as he will be => [tex]x+4=\frac{5}{6}(y+4)[/tex]
Solving the system we obtain x=16 and y=20
plz plz plz i really need this will mark biranleast
Triangle ABC is to be reflected across line m to create triangle A'B'C'.
Which best describes the location of B'?
4 units to the right of line m.
4 units to the left of line m.
8 units to the right of line m.
8 units to the left of line m.
Answer:
8 units to the right of line m
Step-by-step explanation:
when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.
Answer:
4 units to the left of line m
Step-by-step explanation:
that's how I'm seeing it
Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.
Answer:
C = 1.25n
Step-by-step explanation:
From the given table,
There is a common difference of $1.25 in every successive term to the previous term of the total cost,
Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25
Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25
Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
= 1.25 + (n -1)(1.25)
Or, C = 1.25 + 1.25n - 1.25
C = 1.25n
Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answer:
7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 5 ÷ 2/3 = 5 × 3/2= 15/2= 7 1/2
help me please i need it !
Answer:
A
Step-by-step explanation:
There is 2 of the same number on the Y
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Step-by-step explanation:
a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
A probability experiment consists of rolling a fair 16 sided die. Find the probability of the event below, rolling a 12
Answer:
1/6
Step-by-step explanation:
I think that is the answer if not sorry, have a nice day!
Pls pick me as brainliest!
HELP ME PLZ!!
What is the maximum number of Go Math textbooks that can fit in Tier 1 given the measurements of the textbook below? Your answer must have work on how you did it OR an explanation.
Answer:
Step-by-step explanation:
lets find the volume of a go math book
V=LWH
V=10.75*8.5*1
V=10.75*8.5
V=91.375 inches^3
the amount of Go Math books that can fit in tier 1 is
(tier 1's volume)/91.375
then , round to the smallest whole number
(how many whole books you can fit in
I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.
Which phrase describes the algebraic expression B2+7?
the product of 8 and 7 more than a number
the quotient of 8 and 7
8 times the sum of a number and 7
8 times a number plus 7
Answer:
8 times a number plus 7
Step-by-step explanation: