Factor [tex]x^2-81[/tex] by using the difference of two squares.
[tex]x^2-y^2=(x+y)(x-y)[/tex]
Our x is x
Our y is 9 (As y² = 81, therefore a single y would be 9)
[tex](x+9)(x-9)[/tex]
Thus, the final answer is (x+9)(x-9)
What fraction would represent the ratio of the cost
of gas and oil to the total cost of running a car in
1994? Write your fraction in simplest form.
Gas and Oil- $750
Other-$2,250
Total cost-$3,000
12 and 35 Pythagorean theorem
Answer:
Hypotenuse = 37
Step-by-step explanation:
Let the base is 12 and height is 35.
We can use Pythagorean theorem to find the third side (hypotenuse or the longest side). The Pythagoras theorem can be given by :
[tex]H^2=b^2+h^2\\\\H^2=12^2+35^2\\\\H^2=1369\\\\H=\sqrt{1369} \\\\H=37[/tex]
Hence, the hypotenuse is 37 units.
3^x=1/9
What does x equal?
Answer: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Step-by-step explanation:
enter the value for x
Step-by-step explanation:
or, 2x° + (3x +5)° = 90° [ Complementary angles]
or, 5x° + 5 = 90°
or, 5x° = 90°- 5
or, x = 85/5
: x=17°
Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
y = 2x – 15
y = 5x
Can anyone tell me the steps how to solve this and the answer
PLEASE HELP!!!
Fill in the blank:
The value of 8 dimes is ____ % the value of a dollar. (Remember, 60 cents = 60% the value of a dollar)
List a combination of coins that is 130% the value of a dollar. _____
Blank 1:
Blank 2:
Answer:
80%
Step-by-step explanation:
This is because if 60 cents is 60% of a dollar then 80 is 80% of a dollar. I got 80 because a dime is worth ten cents and 8 times 10 equals 80. so that would be 80%
19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =
Use PEMDAS for this.
Also it's a made up question
PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, subtract the numbers in the parentheses, then multiply by 11.
(12 - 9) = (3)
3 x 11 = 33
19 + 11 - 12^2 ÷ 3(33) - 7
Now, just multiply 33 by 3, and then square 12 (12 x 12).
19 + 11 - 144 ÷ 99 - 7
Now, you can divide 144 by 99, this is an infinite number, so..
144 ÷ 99 = 1.455
19 + 11 - 1.455 - 7
Finally add, then subtract.
30 - 1.455 - 7
28.545 - 7
The final answer is 21.545.
I need help pleasssssss
Answer:
49.5%
Step-by-step explanation:
A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
What is 20% of $10
Can anyone help me with this? If u are going to answer please know what u are doing
Answer:
x- intercept (5, 0)
y- intercept (0, 2)
Step-by-step explanation:
x- intercept occurs at y= 0.
To find the x- intercept of the linear equation, substitute y= 0 into the equation.
4x +10y= 20
When y= 0,
4x +10(0)= 20
4x= 20
x= 20 ÷4 (÷4 on both sides)
x= 5
Thus, the x-intercept is (5, 0).
y-intercept occurs at x= 0.
4x +10y= 20
When x= 0,
4(0) +10y= 20
10y= 20
y= 20 ÷10 (÷10 on both sides)
y= 2
Thus, the y-intercept is (0, 2).
Explain how to do this please show your work
Answer:
(x- 5)(x - 3)
x(x - 3) -5(x - 3)
x^2 - 3x - 5x + 15
x^2 - 8x + 15
What is the measure of the smallest angle in degrees?
Answer:
Step-by-step explanation:
2x-6+3x+5+2x+20=180
7x=180-19=161
x=161/7=23
angles are 2×23-6,3×23+5,2×23+20
or 40,74,86
smallest angle=40°
A recipe calls for 3 cups of water for every 4 cups of flour.
What is the unit rate of water to flour, written as a decimal?
Select the correct answer. If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?
OA The lines in a system cannot be parallel.
OB There is no solution. OC There is exactly one solution.
OD There are infinitely many solutions.
Answer:
a
Step-by-step explanation:
Answer:
B: There is no solution
Step-by-step explanation
The lines are parallel so there is no way the lines can cross and have a solution so there's no solution
what is 16 - 2t = t + 9 +4t
Answer:
t=1
Step-by-step explanation:
16-2t = t + 9 +4t
combine like terms
16-2t = 5t + 9
add 2t to both sides
16-2t+2t = 5t+9+2t
combine like terms
16=7t+9
subtract 9 from both sides
16-9=7t+9-9
combine like terms
7=7t
divide both sides by 7
t=1
Answer:
16=t+9+4t+2t
16=9+7t
16-9=7t
7=7t
t=1
A store advertises 15% off an item that regularly sells for $300.
What is the sale price of the item?
Regular price = 300
Sale = 15%
Price after sale
= 300 - 15%(300)
= 300 - 15/100 x 300
= 300 - 15 x 3
= 300 - 45
= 255
Matt was babysitting for friend's parents Saturday morning and was paid $10 per
hour for 3 hours. Later that evening, he was babysitting for another couple that paid
him $20 per hour for 5 hours. What was Matt's average rate of pay per hour for the
day?
Answer:
Matt was paid an average of $10 per hour of babysitting for the day.
Step-by-step explanation:
He babysat in the morning for 3 hours being paid $10 per hour. He later babysat in the evening for 5 hours being paid $20 per hour. Since he was being paid two different amounts throughout the day, the average would be $10. He was being paid atleast $10 per hour for babysitting because even though he was being paid $20 in the evening, the lowest amount of money that he was paid, was $10 making that the average.
Determine the X Intercept of the following graph:
4
-2
0
2
Which expressions have a value of 128 when x=4?
Answer: Create equivalent expressions in the equation that all have equal bases.
2
2
x
=
2
7
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2
x
=
7
Divide each term by
2
and simplify.
Divide each term in
2
x
=
7
by
2
.
2
x
2
=
7
2
Cancel the common factor of
2
.
Cancel the common factor.
2
x
2
=
7
2
Divide
x
by
1
.
x
=
7
2
The result can be shown in multiple forms.
Exact Form:
x
=
7
2
Decimal Form:
x
=
3.5
Step-by-step explanation: Brainless, please
Correct expressions : [tex]x^4/2[/tex] and [tex]8x^2[/tex] .
Hence option B and E are correct .
Given, expression will yield 128 when x = 4 .
Expression B :
[tex]x^4/2[/tex]
Put x = 4
[tex]\frac{4^4}{2}\\ = 128[/tex]
Expression E :
[tex]8x^2[/tex]
Put x = 4
[tex]8(4^2)\\= 128[/tex]
Therefore option B and E are correct .
Know more about expressions,
https://brainly.com/question/22535683
#SPJ6
WILL MARK THE BRAINLIE
Answer:
b
Step-by-step explanation:
Find the slope of the line shown on the graph to the right.
The slope of the line is
(Type an integer or a simplified fraction.)
Answer:
The slope is 1.
The entrance to a business is 4 feet above the ground. The business
1
w
is required to build an accessibility ramp with a slope of How far
12
from the entrance will the ramp need to begin?
Answer: 11.3 feet
Step-by-step explanation:
The question is not structured properly but assuming the ramp should have a slope of 12 feet then this can be solved with the Pythagorean theorem.
a² + b² = c²
a is the height above the ground
b is the distance of the ramp's beginning from the entrance
c is the slope
4² + b² = 12²
16 + b² = 144
b² = 144 - 16
b² = 128
b = √128
b = 11.3 feet
simplify the following expression and write in standard form: 3 x (6y - 4y + 5x) PLEASE HELP
Answer: 15x^2+6xy
Step-by-step explanation: 3x(6y−4y+5x)
(3x)(6y+−4y+5x)
(3x)(6y)+(3x)(−4y)+(3x)(5x)
18xy−12xy+15x^2
15x^2+6xy
x^3 -4 divided by +2
Answer:
3x ^2
Step-by-step explanation:
x ^3-2
Answer:
x^3-2
Step-by-step explanation:
[tex]\frac{X³-4}{2} \\x³-2[/tex]
Which expression is equivalent to 6^-2 x 6^4
Answer:
6^2 or 36
Step-by-step explanation:
Here we have two powers of the same base (6).
The pertinent rule is b^c * b^d = b^(c + and so here we have
6^(-2) * 6^4 = 6^(4 - 2) = 6^2 or 36
Mr. Ruiz has 200 students who are interested in joining the marching band. He decides to have 80% of the band be
made up of brass instruments. How many of the 200 students would play brass instruments?
A. 16 students
B. 60 students
C. 160 students
D. 280 students
Answer:
160 students
Step-by-step explanation:
As, 80% of 200 students instruments are of brass
So 80% of 200
= 80/100 x 200 = 160
So 160 students
Solve for x and find NM
Answer:
x = 9, NM = 41
Step-by-step explanation:
Since KL = ML then the triangle is isosceles and LN is a perpendicular bisector, thus
NM = NK , substitute values
7x - 22 = 3x + 14 ( subtract 3x from both sides )
4x - 22 = 14 ( add 22 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Thus
NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41
find the value of x^2 +xy if x =4 and y = 3
