The expression w4 - 36 is equivalent to
A (W2 – 18)(w2 – 18)
B (w2 + 18)(w2 – 18)
C (w2 - 6)(w2 – 6)
D (w2 + 6)(w2 – 6)
The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
What is equivalent expression?Equivalent expressions are expressions that work the same even though they look different.
According to the given question.
we have an expression [tex]w^{4} -36[/tex]
The equivalent expression of the above expression can be given by
[tex]w^{4} -36[/tex]
⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]
⇒[tex](w^{2}-6)(w^{2} +6)[/tex] (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )
Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
Thus, option D is correct.
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Multiply (4x+2)(2x+6)
What is the middle term of the simplified answer?
Answer:
28x
Step-by-step explanation:
Use foil to get
8x^2 +28x+12
middle term is 28x
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
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simplify the expression - 1/2 (- 5/6 + 1/3)
Answer: 1/4
Step-by-step explanation:
Answer:
1/4 would be your answer.
Step-by-step explanation:
Hope this helps!, and if this Is wrong someone correct me.
plz help, photo above
Answer:
D
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Someone help and plz make sure it’s RIGHT NO FLIES/LINKS/WEBSITES PLZ and will mark brainiest
Answer:
I'm pretty sure it's 18 degrees
Step-by-step explanation:
8. An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2 pounds of clay. The artist uses a
total of 73.6 pounds of clay and glass to make the bowls. Each bowl contains how many pounds of glass? If you can show your work that would be awesome
PLEASE HELP....ITS DUE TOMORROW !!!!
Answer:
Aired
Step-by-step explanation:
30 pts pls awnser all questions i give BRAINLIEST help meee
10; decreases
8: decreases, increases
7: increases, stays the same, increases, stays the same, increases.
9: increases, increases
I hope that this is correct and was able to help
CAN SOMEONE HELP ME PLEASE!!!!
Answer:
M' (- 3, 1 )
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
M (1, 3 ) → M' (- 3, 1 )
Item 4
Sam biked for 4 minutes 30 seconds.
How many seconds did Sam bike?
34 s
94 s
270 s
300 s
Answer:
270 s
Step-by-step explanation:
4 minutes = 240s
add the other 30s
boom
does anyone mind helping me with this please?
Create a number line. Plot the following numbers on the number line: 5, -10, 20, -5, 0, 10, -20
Please help asap will mark brainliest!!!!
Answer:
2,600.00
Step-by-step explanation:
Choose the inequality that represents the following graph.
Answer:
b is the answer I believe so because it have to be greater than 0
Step-by-step explanation:
I hope it's right and if not my bad
PLS PLSSS HURRY I NEED HELP
Answer:
look at the picture i have sent
Find the value of Y. Please help. Will give Brainlyest if your correct.
Answer:
Step-by-step explanation:
by intersecting chord theorem, 27*y = 13*17
y=13*17/27=8.185=8.19
I need help wit this
Answer:
1.
2. $25 dollars for 10 toppings
3. $19 dollars for 6 toppings
4. 6 toppings
Step-by-step explanation:
expand -9(9-p)
...................................
Answer:
35
Step-by-step explanation:
Answer:
-81+9p
Step-by-step explanation:
-9(9-p)
-9×9-9×-p
-81-9×-p
-81-(-9p)
-81+9p
9p-81
How do you find the distance between points (5,1), (4,0)?
Answer:
To find the hypotenuse, you would use the formula a^2 + B^2 = C^2
That is the formula for the pythagorean theorem.
I suggest you first plot it on a graph, then could the units on the sides that make up the legs.
When you plot it, the legs are both 1 unit.
so it would be, following the formula:
1^2 + 1^2 = c^2
1 x 1 + 1 x 1 = c^2
2 = c^2
Then you square root:
√2 = √c^2
1.41421356 = c
1.41421356 rounded to the nearest tenth is 1.4.
So the length of (5,1), (4,0) is ≈1.4
Right triangle A B C. Side A C is 10 meters, side B C is 20 meters, and hypotenuse A B is blank.
Find the area of the triangle.
a.
620 sq. m
c.
100 sq. m
b.
200 sq. m
d.
180 sq.m
Answer:
C) 100 sq. meters
Step-by-step explanation:
please help
will mark brainlist
Answer:
1.2, 1.6, 2.0
Step-by-step explanation:
Pythagorean theorem
A^2 +b^2=c2
1.2^2+1.6^2=2^2
1.44 + 2.56=4
4=4
Since equation works (4=4), it is a right triangle.
What is the standard form of the equation of a circle with center (3, - 2) and radius 4?
Answer:
(x - 3)² + (y + 2)² = 16
Step-by-step explanation:
The center is determined by what number is subtracted from the variables.
The radius is squared and set equal to the variable side.
1st answer gets brainliest!!!
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
PLEASE show work :))
Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answer: b
Step-by-step explanation: b
Today, everything at a store is on sale. The store offers a 20% discount.
A. The regular price of a T-shirt is $18. What is the discount price?
B. If the regular price of an item is x dollars, what is the discount price in dollars
C. The discount price of a hat is $18. What is the regular price?
(Answer each question please.)
Answer:
A. 14.4
b. x-20%
c. 23 dollars
Step-by-step explanation:
you have to take away the 20% or multiply the price by 0.2 which is 20%
If the sides of a right triangle are 6 feet and 8 feet, what is the length of the hypotenuse? *
Answer:
10 feet
Step-by-step explanation:
pythagorean theorem
Answer:
Hypotenuse = 10.
Step-by-step explanation:
h^2 = 6^2 + 8^2
= 36 + 64
= 100
So h= 10.
Janet walks 950 metres every day. Determine what distance would Janet walk in an entire week. Express your answer in kilometres. (Remember to show your work
Answer:
6.65 kilometers
Step-by-step explanation:
950 * 7 days a week = 6650 meters
6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers
Answer:
6.65 km
Step-by-step explanation:
Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable
[tex]\frac{950}{1}=\frac{x}{7}[/tex]
Step 1: Switch sides
[tex]\frac{x}{7}=\frac{950}{1}[/tex]
Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{7}=950[/tex]
Step 3: Multiply both sides by 7
[tex]\frac{7x}{7}=950\cdot \:7[/tex]
Step 4: Simplify
[tex]x=6650[/tex]
Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers
Therefore, Janet would walk 6.65 km in an entire week
-4(-8x + 12y)
Distribute
Answer:
-32x-48y
Step-by-step explanation:
multiply: -4 (8x) - 4 (12y) = -32x-48y
Answer:
32x - 48y
Step-by-step explanation:
when you distribute, -4 has to go to both -8x and 12y
so -4 times -8x = 32x
-4 times 12 = -48y
Final answer: 32x - 48y
if my grade is a 77& and I get a 40% on a test what will my grade be?
Answer:
It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.
Step-by-step explanation:
It all just depends.