Answer:
It can't be expressed in that form
Step-by-step explanation:
From difference of two squares:
[tex]{ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}[/tex]
a » 9
b » 2i
[tex](9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )[/tex]
but i² is -1 [ complex numbers ]
[tex] = \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85[/tex]
Answer:
[tex](9 + 2i)(9 - 2i) \: \\ this \: can \: be \: wrtten \: as \: \\ {9}^{2} - {2i}^{2} = 81 - 4 \times - 1 \\ = 81 + 4 = 85 \\ then \: 85 + 0i \\ thank \: you[/tex]
91.) A car is traveling at 5 m/s. How far has it gone in 12 seconds?
5 m/s · 12 s = 5 m · 12 = 60 m
Answer: in 12 seconds that car has gone 60 metres.
Answer:
A car travels at a constant rate of 5 metres per second.
That means that for every second,the car travels 5m/s.
The question is asking you for how far the car travelled after 12 seconds.Muntiply 12 to bottom and top.
5m/1s*12/12=60/12
The car travels 60 metre in 12 seconds
hope this helps to u and don't forget to mark me as brainliest
(2sinx+3cosx)²+(3sinx-2cosx)²=13 prove plz
Answer:
LHS:-(4sin²x +9cos²x + 12sinxcosx) +(9sin²x+ 4 cos²x -12sinxcosx)
13 (sin²x + cos²x)
13*1 =
13RHSHP
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1
Consider left side
(2sinx + 3cosx)² + (3sinx - 2cosx)² ← expand parenthesis using FOIL
= 4sin²x + 12sinxcosx + 9cos²x + 9sin²x - 12sinxcosx + 4cos²x
Collect like terms
= 13sin²x + 13cos²x ← factor out 13 from each term
= 13(sin²x + cos²x)
= 13 × 1
= 13
= right side , thus proven
Find the value of x
Answer:
Step-by-step explanation:
The exterior angle (shown) is equal to the two remote interior angles ( the ones marked with values in x).
5x + 2 + 5x = 11x - 11 Combine the terms on the left.
10x + 2 = 11x - 11 Add 11 to both sides
10x + 2 + 11 = 11x
10x + 13 = 11x Subtract 10x from both sides.
13 = x
what does -5/8 ÷ 12=
I tried -5/96 but it did not work
Answer:
Its -5/96 in fraction form and −0.052083 repeating in decimal form.
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Teacher: Who can tell me how to simplify 3 + 5 x 2 – 4?
Student -girl: I think you should do 3 + 5 first and the answer is 12.
Student -boy: I think you do 5 x 2 first and the answer is 9
Teacher: Why did the boy and girl get different answers?
Answer:
3+5×2-4
3+10-4
13-4
9
Step-by-step explanation:
But I solve like this and the answer is 9 I am student girl.
Answer:
The girl didn't follow PEMDAS
Step-by-step explanation:
PEMDAS is the order in which you solve mathematical equations.
Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
If you add before multiplying you'll get a completely different answer.
The boy followed PEMDAS, while the girl didn't.
length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is
Answer:
The length of the feild is:
(42 / 3) x 5 = 70m
So the length of the feild is 70m
Hope it helps, Brainliest please <3
i need help pleaseee!!
Answer:
[tex]320 \sqrt{2} [/tex]
What is 6a +9 ≤ -15?
Answer:
a = -5
Step-by-step explanation:
IF A = -5
6 ( - 5 ) + 9
- 30 + 9
-21
-21 is less than -15 so it works
Simplify the expression
Answer:
[tex] {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you[/tex]
Amaya wants to jog 8 miles this week.She jogged 2 1/2 miles on Monday and 3 2/5 miles on wednesday. How many miles does Amaya still need to jog?
Answer:
2 1/10 miles.
Step-by-step explanation:
8 - (2 1/2 + 3 2/5)
= 8 - (5/2 + 17/5)
= 8 - (25/10 + 34/10)
= 8 - 59/10
= 80/10 - 59/10
= 21/10
= 2 1/10 miles.
Monique has 12$ in her account
Help meeeeeee on this math hw
Answer:
Step-by-step explanation:
What do you know about y?
Nothing. It could be odd or even. You can't take the chance. So you need to start your list with 2y
That means that 2y + 2 is the second member in your list
2y + 4
2y + 6
2y + 8
2y + 10
But notice you only have 5 numbers. 2y + 10 cannot be the answer.
The answer must be 2y + 20
is 53 an improper fraction or a proper fraction?
please help, this is geometry
Answer:
Step-by-step explanation:
The formula is the same almost as the previous question you posted.
You want to find the major arc. That's almost the whole circle. If it was the whole circle, the formula would be 2 * pi * r
But we only want a part of it. Just how big is the angle we use in the formula?
A circle has 360 degrees to go around it. We've cut out a slice of it that is 30 degrees.
The remaining part is 360 - 30 = 330
Arc length = angle / 360 * 2 * pi * r
r = 3 m
Arc length = 330 / 360 * 2 * pi * 3
Arc length = 0.9167 * 6 * 3.14
Arc length = 17.27
PLS HELP ME SLOPE INTERCEPT FORMMM
through: (1, -1), parallel to y=5/3x
Step-by-step explanation:
the slope = 5/3
through (1, -1)
the equation :
y -(-1) = 5/3 (x -1)
y+1 = 5/3 x -5/3
y = 5/3 x -5/3 -1
y = 5/3 x - 8/3 or y = 5/3 x - 2⅔
Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280
14 + 28 + 42 + 56 + … 280
= 14 (1 + 2 + 3 + 4 + … + 20)
= 14 × 20 × 21 / 2
= 2940
where we use the well-known identity,
[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]
I need help in this question ⁉️
i do know the answewr and it is b because the irrational product is negative 6
f(x) = x-4.
find f(b)
Answer:
x0.4
Step-by-step explanation:
Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126
Answer:
∠ 1 = 36°
Step-by-step explanation:
Supplementary angles sum to 180° then
∠ 2 + ∠ 3 = 180° , that is
∠ 2 + 126° = 180° ( subtract 126° from both sides )
∠ 2 = 54°
Complementary angles sum to 90° , then
∠ 1 + ∠ 2 = 90° , that is
∠ 1 + 54° = 90° ( subtract 54° from both sides )
∠ 1 = 36°
Help! I don’t get this ine
[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]
If the digits A, B and C are added, the sum is the two-digit number AB as shown. What is the value of C?
A
B
+ C
______
AB
Answer:
C=9
Step-by-step explanation:
If A, B, and C are all single digits the mimimum sum for AB would be 10 as it is a two-digit number (or 11 if you do not consider 0 a digit)
AB-(A+B)=C
10-(1+0)=9 or 11-(1+1)=9
therefore C=9
Which number line represents the solutions to the inequality 9x + 2 5 6x - 4?
Answer: i 99% that it is B
Step-by-step explanation:
Which of the following transforms the graph of
y = x2 to the graph of y=x2-77
a translation 7 units to the right
a translation 7 units to the left
translation 7 units down
a translation 7 units up
Answer:
a translation 7 units down
Step-by-step explanation:
the value of -7 will be added to the value of y in the original one ( y = x2) and it will decrease it by 7 units
Answer:
c
Step-by-step explanation:
assignment said so
please help due today
Answer:
aabavcaca
Step-by-step explanation:
fafafadfaf
Help me with 19 and 20
19 find x
20 find y
Answer:
19) x = 48
20) y = 21
Step-by-step explanation:
19)
7x - 248 + x + 44 = 180
(because they're supplementary angles)
8x - 204 = 180
8x = 180 + 204
8x = 384
x = 48
20)
2y + 50 + 5y - 17 = 180
7y + 33 = 180
7y = 180 - 33
7y = 147
y = 21
Find the median of the data. 7, 5, 12, 8, 2, 9, 4
The median of the data is: 7
How much simple interest is earned on $6,000 at an interest rate of 4.52% in 4 1/2 years?
Answer:
1220.4
Step-by-step explanation:
S.I.=P×R×T÷100
=6000×4.52×4 1/2÷100
=6000×4.52×9÷2×100
=60×4.52×9÷2
=30×4.52×9
=1220.4
On the first day of class, Willem’s Algebra I teacher agreed to assign no homework for a week to the first student to answer this question: There is a positive two-digit integer that is divisible by the sum of its digits and has exactly five factors. What is the sum of its factors? (This is for my little sister in middle school)
Answer:
81
Step-by-step explanation:
There are only two numbers with 5 factors that are only two digits. 16 and 81 are the only options and when you add 8+1=9 and 81 is divisible by 9.
Have fun with no homework for a week!
YALL I NEED HELP PLZ
Answer: 6.9
Step-by-step explanation: search sqrt 48
Does the quotient of 4554 divided by 9 have a remainder? How can you tell without dividing?
Answer:
No; Because 9 is a factor of 4554. By divisibility rules sum of digits of 4554 is 18, which is a number divisible by 9. Hence 4554 is divisible by 9.
Step-by-step explanation:
:)
