Prove (n + 6)² – (n + 2)² is always a multiple of 8
Step-by-step explanation:
(n+6)^2-(n+2)^2=(n+6-n-2)*(n+6+n+2)=4*2*(n+4)=8*(n+4) so it is always a multiple of 8
What number is the same as distance from 0 on a number line as 1 1/2
Answer: What is the distance from 0 on a number line called?
The distance between a number's place on the number line and 0 is called the number's [absolute value]. To write the absolute value of a number, use short vertical lines (|) on either side of the number.
Step-by-step explanation:
Here's a hint. I hope this helps.
What are the coordinates of the points after a 90 rotation about L? Counterclockwise
Answer:
The answer is L'(-2,2), M' (-6,4), and N' (-5,-4)
Step-by-step explanation:
Mapping Rule for 90 Counterclockwise Rotations
1) switch the x and y coords
2) multiply the new x coords by -1
3) Simplify
(x,y) --> (-y,x)
Example Problem
Rotate the point N(2,-4) 90 counterclockwise around the origin.
N(2,-4) --> N' (4,2)
I hope this helps you. I know the example problems always helped me understand.
x and y are two non-zero real numbers such that: x²-y²=15 and x+y=3√5. then x-y=
A. √15
B. √5
C. -3√5
Answer:
[tex](x-y)=\sqrt{5}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that:\\x^2-y^2=15\\x+y=3 \sqrt{5}\\Now,\\We\ know\ that,\\If\ x\ and\ y\ are\ two\ real\ numbers,\\Then:\\(x+y)(x-y)=x^2-y^2\\Here,\\Substituting\ (x+y)=3\sqrt{5}\ in\ the\ LHS\ and\ (x^2-y^2)=15\ in\ the\ RHS,\\(x+y)(x-y)=x^2-y^2\\3\sqrt{5} (x-y)= 15\\Hence,\\(x-y)=\frac{15}{3\sqrt{5} } \\(x-y)=\frac{5*3}{3\sqrt{5} }\\(x-y)=\frac{5}{\sqrt{5} } [Cancelling\ 3\ from\ the\ numerator\ and\ denominator]\\(x-y)=\frac{\sqrt{5}*\sqrt{5} }{\sqrt{5} }\\(x-y)=\sqrt{5}[/tex]
A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answer:
1.1×10^-4
Step-by-step explanation:
we move the point from where to in between 1.1 and counts the number of numbers it has crossed..in this case it 4...which should be -4
What is a correct procedure for solving the equation above?Need now♀️
Look at this angle:
What is the vertex?
A) W
B) None
C) X
D) Y
Answer:
C (x)
Step-by-step explanation:
The Vertex of an angle is the point at which the angle is located on, so in this case the vertex is X.
The cost of 5 pounds of bananas is $3.25. What is the constant of proportionality that relates the cost in dollars, y, to the numbers of pounds of bananas, x?
Answer:
X = Cost of the bananas
Step-by-step explanation:
While y represents the weight (in pounds) of the bananas, x represents the cost of the bananas proportional to the weight.
Answer:
0.65
Step-by-step explanation:
the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.
Answer:
approximately 684 employees
Step-by-step explanation:
So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,
[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].
After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.
Which of the following graphs represents the equation y- 4 =3(x-1)
A. Graph A.
B. Graph B
C. Graph
D. Graph D
please help
Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
NEED HELP PLSS!!!
pls dont answer if you dont know
Answer:
the second one is 343 to the 5 power
Step-by-step explanation:
thats all i know
srry honey
Answer:
[tex]16 {x}^{14} [/tex]
[tex] {7}^{15} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASgiven:(8x⁸)(2x⁶)(7³)⁵tips and formulas:[tex]( {hx}^{a} )(g {x}^{b} ) = hg {x}^{a + b} [/tex][tex]( {x} ^{a} )^{b} < = > {x }^{ab} [/tex]let's solve:[tex](8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} [/tex]
[tex]( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} [/tex]
Expression 10 x (250 + 45) years
Answer:
2950
Step-by-step explanation:
the answer is 2950 the reason why is if u solve the given problem this is what you get
Answer:
250+45=325 x 10=3250
Step-by-step explanation:
What is the commutative property? (Please don't copy and paste from go.ogle I need a good explanation)
Answer:
it basically means that the order in how you multiply doesnt matter. so wether u type 5 x 4 or 4 x 5 in ur calculator, you'll get the same answer either way. this works for when you want to multiply and divide, but not when you wanna subtract or divide.
Step-by-step explanation:
its basically a property that says that if you wanna swap the numbers/variables that are on one side of this specific type of equation (multiplication and addition), you can!
Answer:
yooo
Step-by-step explanation:
the communitive property is when you have the same number or same equation but just reverse it. For example, (5x+67) with the communitive property could be (67+5x). Its just the equation you are given but reversed and since they are the same numbers, you will get the same answer either way you do the problem, hope this helps you lol.
Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will the guitar be valued at $768?
Answer:
4 years
Step-by-step explanation:
Hope this helps
Answer:
4 years
Step-by-step explanation:
do 1,875 divided by 768
Solve for the variable. (g + 6)/3 = 11
solve the variable:-[tex]\sf{\dfrac{(g+6)}{3}=11 }[/tex]
Answer:
[tex]\green{\boxed{g=27 }}[/tex]
Explanation::[tex]\longrightarrow \bold{\dfrac{(g+6)}{3}=11 }[/tex]
:[tex]\longrightarrow \bold{ g+6=11\times 3 }[/tex]
:[tex]\longrightarrow \bold{g+6=33 }[/tex]
:[tex]\longrightarrow \bold{ g=33-6 }[/tex]
:[tex]\dashrightarrow\bold{g=27 }[/tex]
NEED HELP PLEASE 20 POINTS
Brian borrowed money from a credit union for 3 years and was charged simple interest at an annual rate of 9% . The total interest that he paid was $135 . How much money did he borrow?
Answer:
135/3 = 45
45/9 X 100 = 500
Brian borrowed $500
Which set of numbers could represent the side lengths of a right triangle?
Answer:
B
Step-by-step explanation:
PLEASE HELPPPP QUICK 100 POINTS ASAP PLEASEE
Graph a line representing the proportional relationship with slope 3 containing the point (2,6)
-9 + 4 =
How many negative chips ?
How many positive chips?
How many zero pairs?
Final answer:
Answer:
-9
4
1
-9 + 4 = -5
Step-by-step explanation: You just do the problem regularly and add a negative sign.
please help due asap
Thanks in advance
Answer:
3.67
Step-by-step explanation:
They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another
Solve 54 - 10x s 20 + 7x.
9514 1404 393
Answer:
2 ≤ x
Step-by-step explanation:
Maybe you want to solve ...
54 -10x ≤ 20 +7x
34 ≤ 17x . . . . . . . . . . . . add 10x-20 to both sides
2 ≤ x . . . . . . . . . . . . . . divide by 17
A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?
Answer:
The answer is 11
Step-by-step explanation:
What is a formula for the nth term of the given sequence? 160,200,250
Answer:
can i see the picture?
Help plz all my points
9514 1404 393
Answer:
A: ∠W'Z'Y' = 60°; angles aren't changed by rotation
B: W'(-3, 6), X'(9, 6), Y'(8, 1), Z'(-4, 1)
Step-by-step explanation:
Part A:
Angle WZY is the supplement of the given angle ZWX, so is ...
∠WZY = 180° -120° = 60°
Rotation about the origin (or anywhere else) does not change angles. The new parallelogram will have ...
∠W'Z'Y' = 60°
__
Part B:
The transformation right 2 and up 3 can be described by ...
(x, y) ⇒ (x +2, y +3)
Then the translated vertices are ...
W(-5, 3) ⇒ W'(-3, 6)
X(7, 3) ⇒ X'(9, 6)
Y(6, -2) ⇒ Y'(8, 1)
Z(-6, -2) ⇒ Z'(-4, 1)
Please help !! Will mark brainliest answer
Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
[tex]\frac{3}{4}[/tex] × 16 = 12
x = 12
OR: Set up a proportion:
[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]
cross-multiply
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
help please.. quickly
What is the simplest form of this expression?
(X - 4)(x4 + 3x - 5)
what is the y intercept and slope of this equation (will mark brainliest!!)
Answer: y-intercept is 3 1/3. slope is 7/9
Step-by-step explanation:
PLS HELP ASAP WILL GIVE YOU BRAINLEST
Tell whether each point is on the graph of f(x) = [x]. If it is, give the coordinates of another point with the same y value.
1.(-2.3, -2.3)
2. (11, 11)
3.(15, -15)
4.(0, 1)
5.(1,0)
6.(-8,8)
Answer:
Step-by-step explanation:
50 points! Right answers will get brainliest! Random answers will be reported
Answer:
Hope it helps u
Step-by-step explanation:
When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative,
hence A(2,1) so after 270 degree counter clockwise rotation the A become,
A(1, -2)
Please brain-list the answer thanks.....
1 2 hopefully this helps