Part A
4x10 – 64x2
= 4x2 * x8 – 4x2 * 16
= 4x2 * (x8 – 16) by distributive property
Part B
x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.
4x2 * (x8 – 16)
= 4x2 * (x4 + 4) * (x4 – 4)
x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.
= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)
Answer:
Below.
Step-by-step explanation:
The GCF = 4x^2
So its 4x^2(x^8 - 16)
This can be further factored
= 4x^2(x^4 - 4)(x^4 + 4)
= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)
Find the value of the variables for the given special parallelogram.
Please help I need help with this right triangle problem
Answer:
sorry that looks like a test and i do not no
Suppose that a phone that originally sold for $800 and is worth 3/5 of its value each year after it is released. Write an equation for the value of the phone, y years after it is released.
Answer:
v = 800 - 3/5y
Step-by-step explanation:
v = value
y = years
The original cost/value was 800 dollars which means you would have to subtract the 3/5 decrease in value each year.
v = 800 - 3/5y
Answer:
800/(y*3/5)
Step-by-step explanation:
Mr. Jackson decides to build a planter in the shape of a cube for his wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.
The question is incomplete. Here is the complete question.
Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.
How many square feet of material does Mr Jackson need to build the planter?
(a) 27 square feet
(b) 45 square feet
(c) 60 square feet
(d) 720 square feet
Answer: 45 square feet
Step-by-step explanation: A cube is a regular solid with six square faces.
Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.
Perimeter is the sum of all the sides. For a square, perimeter is given by
P = 4s
Then, side of the bottom is
[tex]s=\frac{P}{4}[/tex]
[tex]s=\frac{12}{4}[/tex]
s = 3
Area of a square is
[tex]A=s^{2}[/tex]
[tex]A=3^{2}[/tex]
A = 9
The planter is a cube with 5 faces, because the top is open. Then, total area is
[tex]A_{t}=9+9+9+9+9[/tex]
[tex]A_{t}=[/tex] 45
Mr Jackson will need 45 square feet of material to build the planter.
Answer:
45 feet
Step-by-step explanation: A cube is a regular solid with six square faces.
Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.
Perimeter is the sum of all the sides. For a square, perimeter is given by
P = 4s
Then, side of the bottom is
s = 3
Area of a square is
A = 9
The planter is a cube with 5 faces, because the top is open. Then, total area is
45
Mr Jackson will need 45 square feet of material to build the planter.
Determine m∠DFG :))))
=========================================================
Explanation:
We can apply the remote interior angle theorem.
The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.
The remote interior angles add to this exterior angle.
(angle FGH) + (angle GHF) = angle DFG
(89) + (5x-7) = 14x+1
5x + 82 = 14x + 1
82-1 = 14x-5x
81 = 9x
9x = 81
x = 81/9
x = 9
If this is the case, then,
angle DFG = 14*x+1 = 14*9+1 = 127
HELP PLEASE!
A large pine tree was struck by lightning and fell as shown by the diagram below. Which equation could be used to find the length of the fallen part of the tree
Answer:
Option C should be the answer.
The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.
Answer:
30, 60
Step-by-step explanation:
The sum of a triangles angles should be 180.
Subtract 90 because it's a right triangle.
180 - 90 = 90
Now we know the sum of the other angles should be 90.
x + 2x = 90
Solve for x.
3x = 90
x = 30
Now you substitute 30 for x.
(30), 2(30)
30, 60
Does 2,4,5 make a right triangle
Answer:
No
Step-by-step explanation:
The formula is a² + b² = c²
2² + 4² = 5²
4 + 16 = 25
20 ≠ 25
20 is not equal to 25, so 2, 4, 5 does not make a right angle triangle.
Answer: Yes.
Step-by-step explanation:
2 + 4 > 5
2 + 5 > 4
4 + 5 > 2
A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.
True or False
True
Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails. It doesn't change the percentage of it landing on either side. So in that case, it is true.
Hope this helps!
The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.
What is probability?The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.
here, we have,
we know that,
The higher the likelihood, the more likely it is that the event will take place. A definite occurrence has a chance of 1 while an impossible event has a probability of 0.
we have,
When a coin is flipped the probability of getting a heads and a tail is 50%.
Hence, without the consideration of the flips and the result the theoretical probability that the next coin flip will be heads is 50%.
The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.
Learn more about probability here:
brainly.com/question/30034780
#SPJ2
The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.
Answer:
7 inches and 5 inches
Step-by-step explanation:
The length the length and width of the rectangle be l and b.
Accodrding to question,
Width, b = l-2
Perimeter, P = 24 inches
We know that,
The perimeter of a rectangle is given by :
P = 2(l+b)
24 = 2(l+l-2)
12 = 2l-2
14=2l
l = 7 inches
Width, b = 7-2 = 5 inches
Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.
I need this done! Decent amount of points! And chance of Boeing marked brainleist! O:
Answer:63
Step-by-step explanation:
I know this its 63
Answer:
Step-by-step explanation:
a) 21 divided by 3 = 7
answer = 7
b)21+21=42
answer = 2
c) 7+6 = 13
answer = 7
d) I don't know or it could be -8-8= -16 (I am not sure)
e) 3 x 30= 90
answer= 90
f)-7-6 = -13
answer= -13
what% of $700,000 = $525,000
Answer:
$525,000/$700,000×100%=75% is required %.
Line A is perpendicular to line B.
If the slope of line A is -1/7, what is the slope of line B?
Answer:
7.
Step-by-step explanation:
The slope of a line perpendicular to a line of slope m is -1/m.
So the answer is -1 / -1/7
= -1 * 7/-1
= 7.
261, 256,251,... what would be the 46th term
Answer:
36
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answer:
ABCD is a rhombus => AC is perpendicular with BD
=> AC = 2(2n + 5) = 30
<=> 2n + 5 = 15
=> n = 5
with n = 5 => AC/2 = 15
BD/2 = 4.5 - 3 = 17
BC² = (AC² + BD²)/4 = 514/4 = 128.5
=> BC = 11.34
Answer:
Step-by-step explanation:
The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.
AC = 30
2n + 5 = 30 Subtract 5 from both sides.
2n = 30 - 5
2n = 25 Divide by 2
n = 25/2
n = 13.5
====================
BD = 4n - 3
BD = 4*13.5 - 3
BD = 54 - 3
BD = 51
Amy has 4 pounds of ground pork to make meatballs. She uses 5/8 pound per meatball to make 6 meatballs. How many 1/8 -pound meatballs can amy make with the remaining ?
The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?
what is 3 3/5 + 6 3/10
Answer:
18/5 or 3 3/5
Step-by-step explanation:
Write a formulation for the 9th term of the sequence below 5, 15, 45, 135
Answer:
a ^5 = 405
I dont really know the answer
Help ASAP I will give you 15 points and help with any of your questions
Answer:
1/2
Step-by-step explanation:
the distance from 6 to 18 is 12 and and 12 is halfway in between 6 and 18 so its 1/2
sorry if im wrong have a blessed day:)
PLZZ HELP WILL GIVE BRAINLIEST
Answer:
x=2 y=4
Step-by-step explanation:
Answer:
(2,4)
Step-by-step explanation:
substitute the [tex]y = 2x[/tex] for the [tex]y[/tex] in [tex]x = -y + 6[/tex]
[tex]x = -(2x) + 6[/tex]
[tex]x = -2x + 6[/tex]
[tex]3x = 6[/tex]
[tex]x = 2[/tex]
next take [tex]x = 2[/tex] and input it into [tex]y = 2x[/tex]
[tex]y = 2(2)[/tex]
[tex]y = 4[/tex]
so if [tex]x =2[/tex] and [tex]y = 4[/tex], the ordered pair solution is:
[tex](2,4)[/tex]
I need help ASAP plz help me
Answer:
3 - 9 = -6
6(3) - 3(9) = -9
Answer: (3,9)
Help and please make sure the answer is right? :)
Answer:
8
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
hello again lol
these are alternate interior angles so they are equal
5x + 5 = 45
5x = 40
x = 8
Is 16=3 one, no, or many solutions?
And if the lines were graphed, would they be the same line, intersecting, or parallel
Answer:
No solutions; parallel
Step-by-step explanation:
The equations x=16 and x=3 both have a slope of 0. So when graphed, they would be parallel and there are no solutions between parallel lines.
A produce manager is deciding whether there is customer demand for expanding the organic food section of her store. How could she obtain the information she needs?
Answer:
Step-by-step explanation:
The best way to gather this information is to create a survey that asks all the pertinent information regarding organic food and surveying a large population of the individuals that enter her store. This selected population would need to be selected at random so that the sample group accurately represents the choices of the entire population of customers. Otherwise, the data would be biased and not valid.
Need help with this please
Answer:
158 correct
Step-by-step explanation:
158
Step-by-step explanation:
which of the following is equivalent to (5)^7/3? 5^-4
5^4
^7squroot5^3
^3squroot5^7
Answer:
^7 squroot5^3
Step-by-step explanation:
5x2= 10
7÷ 3= 2.5
Will give brainlist if right! Number 13 and 14 plz
Answer:
13 - 14
14 - base area 30 and height 19
base area 285 and height 2
Step-by-step explanation:
1428/17/6=14
The price of a watch was increased by 20% to £198
What was the price before the increase?
using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up
Answer:
g(x) = 2^x + 6Step-by-step explanation:
Parent function:
f(x) = 2^xTranslation 6 units up:
g(x) = f(x) + 6or
g(x) = 2^x + 6