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)
Help! It's geometry. :) 35 points.
Answer:
g = 21
h = 8
Step-by-step explanation:
3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)
Simplify to get g = 21.
Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)
Answer:g=21 h = 8
Step-by-step explanation:
That's a rhombus supposedly so the opposite angles are congruent.
This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180
9g=,189 g = 21
now plug this into the first equation
9h-4=3(21)+5
9h-4=63+5
9h=72
h=8
State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality
Answer:
Substitution property of equality
Step-by-step explanation:
Given
[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]
Then
[tex]4(2y + 1) + 9 = 15[/tex]
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If [tex]a = b[/tex] then [tex]b = a[/tex]
In other words, both can replace one another.
So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]
So:
[tex]4x + 9 = 15[/tex] becomes
[tex]4(2y + 1) + 9 = 15[/tex]
Hence, it is substitution property of equality
11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2
Answer:
20 ÷ 10 = 2
or
20 ÷ 2 = 10
Step-by-step explanation:
multiplication is the opposite of division
Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?
Answer:
Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.
Step-by-step explanation:
In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made. Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation 6c - 2.4. Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8. We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8. Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2
−8/9 ⋅ 5/6
What is the product in simplest form?
Fractions btw
please help me with the attachment below, will give brainliest !!!!!!
Melissa wants to put a bird bath in her yard at point (x, y), and wants it to be is inside the enclosed shaded area shown in the graph.
First, she checks that x greater or equal than negative 3 space a n d space y greater or equal than negative 2. What linear inequality must she check to conclude that (x, y) is inside the triangle?
What is the sum of 100 + 578.00
Answer:
678.00
Step-by-step explanation:
hope this helps!
Answer:
678
Step-by-step explanation:
Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number
Explain how could use 8 + 8 to find the sum
Answer:
its 16
Step-by-step explanation:
In DEF, C is the centroid.
If DM = 9, find DC and CM
Please please due in ten minutes !!!!!!!
Answer: Number 9 is 200, number 10 is 40%, number 11 is 80%
Step-by-step explanation:
HELP I NEED HELP WILL GIVE BRAINLYEST LOOK ILL GIVE YOU SO MANY POINTS
Answer:
the answer is -1/2
Step-by-step explanation:
HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture
Answer:
-5+2
Step-by-step explanation:
Answer:
I would say 6 cm too, also can anyone help me on my math? its powers and exponents
Find the matrix A of the reflection in the line L in R2 that consists of all scalar multiples of the vector.
Answer:
hello your question is incomplete attached below is the complete question
answer : 2/13 6/13
6/13 3/13
Step-by-step explanation:
Firstly we will calculate the orthogonal basis L in R^2
attached below is the detailed solution
also assuming β to be the standard ordered basis
hence the matrix A of the reflection in the Line L in R2 =
2/13 6/13
6/13 3/13
The matrix A of the reflection in line L is given by [tex]\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}[/tex] and this can be determined by first evaluating the value of [tex]\rm R^2[/tex] by using the given data.
The orthogonal basis L in [tex]\rm R^2[/tex] is given by:
[tex]r = [u_1,u_2] =\left[\dfrac{1}{\sqrt{39} }\binom{6}{3}, \dfrac{1}{\sqrt{39} }\binom{3}{-6}\right][/tex]
[tex]\rm T(u_1)=u_1[/tex]
[tex]\rm T(u_2)=0[/tex]
[tex]\rm [T]_r = \begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}[/tex]
[tex]\rm Q = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}[/tex]
Now, matrix A is given by the formula:
[tex]\rm A=Q[T]_rQ^{-1}[/tex]
Now, substitute the value of known terms in the above equation.
[tex]\rm A = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}[/tex]
Simplify the above expression.
[tex]\rm A = \dfrac{1}{{39} }\begin{bmatrix}6 & 18\\ 18 & 9\end{bmatrix}[/tex]
[tex]\rm A = \dfrac{3}{{39} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}[/tex]
[tex]\rm A = \dfrac{1}{{13} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}[/tex]
Multiply by 1/13 in the matrix.
[tex]\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/16850761
Need help Pronto! Will give braintliest.
Answer:
the answer is 45 I believe because it is the same exact as j
HELP!!!!!!! The area of the rectangle shown below is 24 square centimeters. What is the area, in square centimeters, of the shaded triangle?
Answer:
is it multiple choice?
Step-by-step explanation:
The area of the rectangle given is 24 square centimeters. Hence, The area of the shaded triangle will be 12 square centimeters.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of the rectangle given is 24 square centimeters.
The area of the rectangle = length × Width
24 = a x b
Also, a = 24/b
The area of the shaded region is equal to the area of the triangle.
So, The area of the triangle = 1/2 x b x h
= 1/2 x (a) x b
= 1/2 x 24
= 12
Hence, The area of the shaded triangle will be 12 square centimeters.
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
4. They were 30 problems on the test, Nancy got 20% wrong. How many
problems did Nancy get wrong?
Answer:
6
Step-by-step explanation:
help on math please.
don´t do any joke answers or anything that not related to the problem only answer if you actually know
Answer: When t = 4.25 R(t) = D(t)
This tells you that at 4.25 seconds into their flights, both the Rocket and the Drone were at a height of 20 feet.
Step-by-step explanation: The point where the two graphed lines cross is where the values are equal.
The Drone has been hovering at 20 feet between 2 and 5 seconds. The Rocket passed through that height for a brief (millisecond) time as it was falling back to the ground.
Without grid lines it is my best estimation (using a ruler to create a verticla line from the intersection of the lines to the time scale) that t = 4.25. It is between 4 and 4.5 seconds.
How do I solve this ?
Answer:
See attachment :D
Step-by-step explanation:
y = 2/3x + 2
This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.
The line intersects with points (-3,0) and (0,2).
Hope this is helpful ^^ Good luck with your test :D
Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .
Answer:
COEFFICENT
Step-by-step explanation:
(-52 + x – 5) – (–70² – 7x – 3)
Answer:
7x+4846
Step-by-step explanation:
You have $15 to spend in a candy store. If Kitkat cost $0.75 each and mini Snickers are $0.25 each.
1) What is the maximum number of mini Snickers you could buy?
2) What is the maximum number of Kitkats you could buy?
3) How do these maximums relate to the x and y-intercepts of the standard form linear equation that could be used to model this situation?
Answer:
1. 60 snickers
2. 20 KitKats
i cannot anwser 3 cause its not showing up somehow. Sorry.
Step-by-step explanation:
Answer:
1) 60 Mini Snickers
2) 20 Kitkats
3) We know that the x intercept is the value of x when y is 0. We also know that the Y intercept is the value of y when x is 0. Both maximums can represent either a y or x intercept because they are the value when you don't have any money left or $0.
Step-by-step explanation:
1) 15 ÷ 0.25= 60
2) 15 ÷ 0.75= 20
PLZ answer iF. U KNOW THE ANSWER
the town wants to build a library five blocks away from the park and four blocks away from the school
(-1,6)
(-5,2)
(-1,-2)
(3,2)
Answer:
(-1,-2)
Step-by-step explanation:
Since the park is at (4,-2), going to the left 5 units will put us at x = -1
Since the school is at (-1,2) going down 4 units will put us at y = -2
(-1,-2)
. Jaime's hourly wage is $16 and her net pay is 65% of her earnings. Jaime spends about $1,300 on her monthly
expenses. If Jaime works 40 hours per week and has no other sources of income, what is her total monthly cash
inflow? (Hint: Assume that there are 4 pay periods per month.)
Answer:
Monthly income is $1664, positive balance each month is $364Step-by-step explanation:
Hourly wage = $16Net pay = 65%Monthly spending = $1300Work hours = 40 hours per week = 4*40 = 160 hours per monthMonthly earning:
160*16 = 2560Monthly net payment:
$2560*0.65 = $1664Remaining balance per month after expenses:
$1664 - $1300 = $364Amy, Dan, and mike are competing in a cooking competition. They all used different amounts of milk from a container holding 6 gallons of milk. Amy used 13
Answer:
2 1/6 containers of milk, if that's what you're asking.
Step-by-step explanation:
HELP!! I WILL GIVE FREE BRAINLIEST TO THE FIRST CORRECT ANWSER!
Answer:
Xbox $544.00 sales tax: 38.08 after tax: 582.08
Airpods $125:00 sales tax: 8.75 after tax: 133.75
Answer:
Xbox before tax: $544.00
Sales Tax: 38.08
Total Price: $582.08
Airpods before tax: $125.00
Sales Tax: $8.75
Total Price: $133.75
Step-by-step explanation:
take .07 and multiply it by 544.00 and you get 38.08. Then add 38.08 and you get 582.08.
Then take .07 and multiply it by 125.00 and you get 8.75. Then add 8.75 to 125.00 and you get 133.75.
The midpoint of AB is M(7, -2). If the coordinates of A are (8, 3), what are the
coordinates of B?
(6,-7)
multiply Midpoint by 2
A plane set off to Portland at a speed of 232 mph. On the
return flight of 12 hours, the plane cruised at 204 mph.
How many hours long was the flight to Portland?
Answer:
The flight to Portland takes 10.6 hours.
Step-by-step explanation:
To find the time of flight to Portland we need to calculate the distance traveled by using the equation:
[tex] x = v*t [/tex]
Where:
v: is the speed = 204 mph (return flight)
t: is the time = 12 h (return flight)
[tex] x = v*t = 204 mi/h*12 h = 2448 mi [/tex]
Now, we can find the time of flight to Portland using v = 232 mph:
[tex]t = \frac{x}{v} = \frac{2448 mi}{232 mi/h} = 10.6 h[/tex]
Therefore, the flight to Portland takes 10.6 hours.
I hope it helps you!
WILL GIVE BRAINLIEST
Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?
Answer:
You will have $1314.27
Step-by-step explanation:
A=1200(1+2.3/100)^4
A=1200(1.0952)
A=$1314.27