Answer:
[tex] {( {x}^{2} + 3) }^{2} = {4x}^{2} + 12[/tex]
[tex] \bf \purple{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} } [/tex]
[tex] {( {x}^{2}) }^{2} + 2({x)}^{2} (3) + {(3)}^{2} = {4x}^{2} + 12[/tex]
[tex] {x}^{4} + {6x}^{2} + 9 = {4x}^{2} + 12[/tex]
[tex] {x}^{4} = {4x}^{2} - {6x}^{2} + 12 - 9 [/tex]
[tex] {x}^{4} = { - 2x}^{2} + 3[/tex]
[tex]( {x}^{2} \times {x}^{2}) = { - 2x}^{2} + 3[/tex]
[tex]2 \times {x}^{2} = { - 2x}^{2} + 3[/tex]
[tex] = \frac{ { - 2x}^{2} + 3 }{ {2x}^{2} } [/tex]
[tex] = 3[/tex]
do the side lengths 4.1,8.2,and 12.2 for a triangle
Answer:
Step-by-step explanation:
Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.
4.1 + 8.2 > 12.2
12.3 > 12.2
true
They can form a triangle.
Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right
- If [tex]c^2 < a^2 + b^2[/tex]
- if [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse
[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]
The triangle is obtuse.
What is the area of the shape below? Hint: use the formula: A =1/2 h (b1 + b2) *
A. 54.6 yd squared
B. 172.5 yd squared
C. 112.5 yd squared
D. 120 yd squared
Answer:
B. 172.5 yd squared
Step-by-step explanation:
FIrst, we must find half of the height, which is 15/2 or 7.5.
Next we have to multiply 7.5 times (15+8) which is B.
88 out of 132 in fraction form
Answer:
[tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
88 ÷ 44
132 ÷ 44
Reduced fraction:
2
3
Therefore, 88/132 simplified is 2/3
An atom of lithium has 3 protons 4 neurons and 2 electrons.
What is the overall charge on this atom
A) -3
B) -1
C) +1
D) +3
Answer:
positive 1
Step-by-step explanation:
hope it helps.
give me the brain PLZ:)
Corri needs to get milk, eggs, bread, and cereal at the store. Since the bread is close to the cereal, Corri always picks up the cereal right after getting bread. List all of the different combinations of ways she can pick up the items she needs. Use the first letter of each item in your list (M, E, B, C)
Answer:
bread
cereal
milk
eggs
Step-by-step explanation:
Answer:mebc,embc, bcem,bcme.
Step-by-step explanation:
A rectangle is 8 feet long and 9 feet wide. What is its perimeter?
Answer:
34 feet
Step-by-step explanation:
(Length + Width) x 2
Answer:
It would be 34
Step-by-step explanation:
You would add up the sides by doing 8+8+9+9 or (8x2)+(9x2)
What is the domain and range of the graph
Answer:
[tex]D={x,-1<=x<=5}, R={y,-6<=y<=4} [/tex]
Step-by-step explanation:
by graphing interpretation, horizontal range is the domain and vertical range is the range. buat your problem is an oval which not a function.
a student is helping decorate a bulletin board that is 5 feet long and 4 feet tall.. He needs to cut a piece of yarn to run along the diagonal from the top left to the bottom right of the board.
Answer:
6.40312424 feet
Step-by-step explanation:
using the pythagreons theorm you can find the missing side
a^2 + b^2 =c^2
5 x 5 + 4x4 = 41
then you find the square root of 41
the length would be 6.40312424 feet
What is the common ratio of the sequence?
-2, 6, -18, 54,...
0 -3
O -2
3
08
Answer:
Step-by-step explanation:
To find the common ratio
First term=-2
r=6/-2
r=-3
Or
r=54/-18
r=-3
help me pls !!
(Extra points)
And I need to explain it.
Answer:
true
Step-by-step explanation:
1. simplfy the expression to 7^2 *8/7^3=8/7.
2. that'll give u 8/7=8/7
A wire is needed to support a vertical pole 18 feet high. The cable will be
anchored to a stake 10 feet from the base of the pole. How much cable is
needed?
Please help me with #3.
Answer:
Total lateral surface of the pyramid = 54 [tex]cm^{2}[/tex]
which agrees with the first listed answer.
Step-by-step explanation:
Notice that the pyramid has for base an equilateral triangle of base 5 cm, and has three lateral triangles which have all the same dimensions for their base (5 cm - since they are all connected to the base of the pyramid), and their height (7.2 cm).
The actual LATERAL surface, includes only the surface of the three lateral triangles.
We use the formula for the area of a triangle: [tex]Area=\frac{base \,*\, height}{2}[/tex]
to calculate the area of each lateral triangle:
[tex]Area=\frac{5\,cm \,*\, 7.2\,cm}{2} \\Area=18 \,cm^2[/tex]
and then multiply the result by three (to account for the three lateral faces)
Therefore, the total lateral surface is:
Total lateral surface = 3 * 18 = 54 [tex]cm^{2}[/tex]
At Pizza Pi, 64% of the pizzas made last week had extra cheese. If 16 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
There were 25 pizzas made last week.
Step-by-step explanation:
It is given that 64% of the pizzas had extra cheese and 16 pizzas had extra cheese. So it means that 64% is equals to 16 pizzas. In order to find how many pizzas were made, you have to find the remaining percentage of pizzas without extra cheese by subtracting 64% from 100% :
100 - 64 = 36 % of pizzas without extra cheese
64 % = 16 pizzas
1 % = 1/4 pizza
36 % = 9 pizzas
We have found out that 9 pizzas were made without extra cheese. The total pizzas were made last week is 25 pizzas (including extra cheese and no extra cheese) :
Total = Extra Cheese + No extra cheese
= 16 + 9
= 25 pizzas
Please help due at 11:45 I really do t understand please help!!!!
1. C. Exponential form. Exponential form is just taking one number and raising it to another number. Example: 2^3
2. H. Power is correct. A power is the upper number of an exponential.
3. G. Perfect square. Squaring a whole number represents the area of a square, which is where the term comes from.
4. J. Quotient. A quotient is a result of dividing two numbers.
5. D. Expression. An expression is anything that involves numbers and variables. Specifically using the order of operations on them or some kind of math function.
6. i. Product. A product is a result of multiplying two or more numbers or variables.
7. E. Factors. In this case, it shows 12 having the factors: 1, 2, 3, 4, 6, 12. Factors of 12 are numbers that pair up and multiply to get 12, so for instance 3*4 = 12.
8. A. Base. You are correct. Nice work. The base of an exponential expression is the lower number or variable.
9. B. Expanded form. This is showing it being fully factored as much as possible.
10. F. Perfect cube. A perfect cube is a number that results in taking any whole number and multiplying it by itself 3 times. Example: 7 cubed = 7^3 = 7*7*7 = 343
What is the value of x? 6 8 10 12
Answer:
Its 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Work out the area of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
13 cm
The area of the circle is found by substitifying the radius into the formula A = πr². In this case, with a given radius of 6.5 cm and π as 3.142, the calculated area is approximately 132.732 square centimeters.
Explanation:To find the area of a circle, you use the formula A = πr², where A represents the area, π is a mathematical constant whose value is given as 3.142 in this case, and r is the radius of the circle.
Since the radius (r) is not directly mentioned in the question, we should understand that the given 13 cm refers to the diameter of the circle, hence the radius will be half, i.e., 13/2 = 6.5 cm.
Substituting these values into the formula gives: A = 3.142 * (6.5)². When you perform the calculation, the result would be about 132.732 square centimeters.
Learn more about Area of a Circle here:https://brainly.com/question/28642423
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Find the value of x, then use this value to determine the measure of each of the angles.
x =
The measurement of angle AOB = degrees.
The measurement of angle COB = degrees.
Answer:
x=15
AOB= 15
COB= 165
Step-by-step explanation:
What is the probability of picking an orange marble and flipping tails?
there are 7 marble, one of them is orange. and there is one coin next to them
a. 1/7
b. 8/14
c. 2/14
d. 1/14
Answer: D) 1/14
Work Shown:
There is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7. Let A = 1/7 which we'll use later.
The probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total. Let B = 1/2
Multiply A and B
A*B = (1/7)*(1/2) = (1*1)/(7*2) = 1/14
This represents the probability of getting an orange marble and flipping tails.
We are able to multiply the probabilities because the two events (picking a marble and flipping a coin) are independent.
Answer:
The answer would 1/14 :)
Step-by-step explanation:
If a circle has a radius of 17 cm. What is the circumference of the circle ?
Answer:
106.81 cm or 107 cm.
Step-by-step explanation:
The formula for finding the circumference (perimeter) of a circle is 2 times pi times r or the radius of the circle, or you can find the diameter by multiplying the radius by 2, in this case 34 and multiply that by pi. The diameter is 34 so multiply that by pi and you get 106.81 cm as an approximate. Hope this helps!
The circumferences of the circle is 106.76 cm.
What is circumferences?The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre.
Given that, a circle has radius = 17 cm
We know that, circumference = π × diameter
diameter = 2 × radius = 17 × 2 = 34
circumference = 34 × 3.14 = 106.76 cm
Hence, the circumference of the circle is 106.76 cm
For more references on circumference, click;
https://brainly.com/question/28757341
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a(x−b) +bx+c=a+b solve for x helpp
What’s 3/8 off 20 inches
Answer:
I think the answer is 1'8 3'8
Answer:
Step-by-step explanation:
Simplify the expression -2(p+4)^2-3+5p what is the simplified expression in standard form?
Answer
I got p-19 i might be wrong
Step-by-step explanation:
Answer:
brainliet plssssss
Step-by-step explanation:
Let's simplify step-by-step.
−2(p+4)^2−3+5p
Distribute:
=−2p^2+−16p+−32+−3+5p
Combine Like Terms:
=−2p^2+−16p+−32+−3+5p
=(−2p^2)+(−16p+5p)+(−32+−3)
=−2p^2+−11p+−35Melissa is saving $25 that she earned for washing her mom’s car. She earns $10 every week for doing chores, which she also saves. Which function can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores?
Answer:
t = 10n + 25
Step-by-step explanation:
At the end of n weeks, the total amount that Melissa would have can be found by the function, t = 25 + 10n.
Melissa made $25 from washing her mother's car and keeps it aside.
She then makes $10 every week. This means that in n number of weeks, the amount she would have made from chores is:
= Amount per week x number of weeks
= 10 x n
= 10n
The total she would then have in n weeks is:
= Amount saved from mother + Amount earned from chores in n weeks
= 25 + 10n
This total is t, so the total function is t = 25 + 10n.
Find out more at https://brainly.com/question/23241041.
What is the approximate surface area of the sphere?
What is the area of this trapezoid?
Enter your answer in the box.
units2
Answer:
153 units squared
Step-by-step explanation:
A= 1/2 (b1 + b2)h
A= 1/2 (10+24)9
A= 1/2 (34)9
A= 1/2 306
A= 153
Answer:
Step-by-step explanation:
a = 7+10+7 = 24 units
b = 10 unit
h = 9
Area=(a + b)*h / 2
[tex]=\frac{(24+10)*9}{2}\\\\=\frac{34*9}{2}\\\\=17*9\\\\=153 unit^{2}[/tex]
I have a math problem. I don't know were to start here's my problem. You have 3 cards in front of you, on one side there's a letter either R, V or B. On the other side there's a hidden number. Find the 3 number's. Here's the information we already know:
1) R+V=B
2) V+B= 180
3) 5xB=V
I need help!!!
Solve 5 - 2x < 7. Please help me
Answer:
x > -1
Step-by-step explanation:
Answer:
[tex]x>-1[/tex]
Step-by-step explanation:
[tex]5 - 2x < 7[/tex]
[tex]5-2x-5<7-5[/tex]
[tex]-2x<2[/tex]
[tex]$\frac{2x}{2}>\frac{-2}{2}$[/tex]
[tex]x>-1[/tex]
Can someone help me?
I’m stuck
BRAINLEST!!
Answer:
A
Step-by-step explanation:
Lateral surface area = surface area - bases
2(8(11) + 8(5)) =
256 <--- Lateral Surface Area
The bases have areas of 11*5 = 55
Multiply that by 2 and add to 256
256 + 110=
366 <---Surface Area
The radius of a circle is 1 inch. What is its circumference?
Step-by-step explanation:
use the image below to help
What’s the answer????
Answer:
21
Step-by-step explanation:
Answer:
105 pages in 7 minutes
Step-by-step explanation:
cross multiply
hope this helped