Answer:
Distribute 2 to (x + 6) and 3 to (x – 4).
Step-by-step explanation:
While solving for:
2(x+6) = 3(x-4) + 5
Firstly, we need to open the parenthesis. For this, we've to distribute 2 to (x+6) and 3 to (x-4).
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!If cosine theta equals two over three, what are the values of sin θ and tan θ?
Answer:
what
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 then
sin²x = 1 - cos²x
sin x = ± [tex]\sqrt{1-cos^2x}[/tex]
Given cos θ = [tex]\frac{2}{3}[/tex] , then
sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]
Also
tanθ = [tex]\frac{sin0}{cos0}[/tex]
= [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]
what does it mean when a chance event has a probability of 4/4
Answer:
When the probability of something happening is 4/4, it means that the probability of that thing happening is 1
When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.
Which equation has the correct sign on the product?
A. (-11)9 = 99
B. (-12)(-12) = 144
C. 17 x 3 = -51
D. 25(-5) = 125
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
A. (-11)9 = 99 Negative * positive = negative
B. (-12)(-12) = 144 negative * negative = positive
C. 17 x 3 = -51 positive * positive = positive
D. 25(-5) = 125 positive* negative = negative
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
If y=3x + 5 what is the value of y when x= 12?
simplify the problem thank you
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]
how many zeros are in the product of any nonzero whole number less than 10 and 500?
Answer:
The product of 500 and any of these number will contain 2zeros
Crsytal and meghan shared a sum of money 8:3 , Crystal received $135 more than Meghan. How much money was shared ?
Answer:
$2,295
Step-by-step explanation:
Meghan = x
Crystal = x + 135
[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]
[tex]8 \times (x + 135) = 3x[/tex]
[tex]8x + 1.080 = 3x[/tex]
[tex]1.080 = x[/tex]
Meghan got $1,080
[tex]1.080 + 135 = 1.215[/tex]
Crystal got $1,215
[tex]1.080 + 1.215 = 2.295[/tex]
$2,295 money was shared.
More math for the experts!
Giving Brainliest
what is 4(5+2) divided by 2?
Answer:
[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]
I hope I helped you^_^
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
is 5.15 x 6√7 rational or irrational
Answer:
81,75
Step-by-step explanation:
you will use BODMAD
Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer
2(k+ 4) = 3(k-2)
HELP PLEASE
Answer:
k = 14
Step-by-step explanation:
k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable
Answer:
k=14I'm pretty sure this is the correct answer hope it helps :)
Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
If you want to learn more, you can read:
https://brainly.com/question/11232266
Answer:
Step-by-step explanation: I also need help
Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function
Answer:
h is an odd funtion
Step-by-step explanation:
this is because h(-x)=h(x)
Answer: A
Step-by-step explanation:
A sum of odd functions is a odd function
Proof:
[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The height s of the ball in feet is given by the equation s =-27t2 + 50t+ 6.5, where t is the number of seconds after the ball was thrown
a) what is the initial height of the projectile?
b) what is the maximum height of the projectile? ( round to the nearest foot)
c) after how many second is the ball 12 feet above the moons surface? ( round to the nearest foot)
d) how long will it take for the ball to hit the moons surface?( round to the nearest hundredth)
Answer:
please answer me binary number multiply 11010 multiply 101
Which of these represents a whole number?
3.2 , 4, 8/4, 4/7
Answer:
4
Step-by-step explanation:
a whole number is a number with no fraction
4 is a whole number.
What is whole number?
Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.
A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.
Hence, 4 is a whole number.
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Write an equation of a line that is perpendicular to the line x - 4y = 12 and passes through the point (2,3)
Answer:
y = - 4x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 4y = 12 ( subtract x from both sides )
- 4y = - x + 12 ( divide terms by - 4 )
y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
To find c substitute 2, 3 ) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = - 4x + 11 ← equation of perpendicular line
The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).
By rearranging x - 4y = 12 in the form, y = mx + c;
we have; y = (x/4) - 3
The slope, m1 from here is (1/4)
The product of the slopes of two perpendicular lines is;
m1 × m2 = -1Therefore slope, m2 = -1/(1/4)Slope, m2 = -4Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;
-4 = (y - 3)/ (x - 2)By cross product; we have;
-4x + 8 = y - 3y + 4x = 11.
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Tìm nghiệm và vẽ đường thẳng biểu diễn tập nghiệm của nó
a 2x+y=6
Answer:
1111111111111111111111111111111111111111
Step-by-step explanation:
Which shape fits the description below?
A six-sided figure with three pairs of parallel sides.
X.
Y.
Z.
OA. The shape is nonexistent.
ОВ.
Y
OC. Z
D. X
What is the constant of variation for y= 2/5x
Answer:
Step-by-step explanation:
This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.
PLEASE HELP PLEASE!!!!!
Answer:
60x^4y^6
Step-by-step explanation:
(5xy^2)×(12x^3y^4)
=60x^(1+3)y^(2+4)
=60x^4y^6
f(x) = 2x2 – 7x – 6. Find f(6)
Answer:
hello, your name similarty to my name
Step-by-step explanation:
put 6 from x and to find function
f(6)= 72-42-6=24
HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get the original number. If you know one factor of a number, you can find another using _[blank 3] - Match each blank with the option that correctly fills in that blank. - blank1 blank 3 blank 2 :: factor :: division :: multiplication :: divide :: multiply :: factoring
Answer:
1. Factor
2. Multiply
3. Division
Step-by-step explanation:
integers
simplify
17-{19-2(1+3)}
Answer:
6
Step-by-step explanation:
Use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Problem: 17 - {19 - 2(1 + 3)}
Step 1:
17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}
Step 2:
17 - {19 - 2 x 4} = 17 - {19 - 8}
Step 3:
17 - {19 - 8} = 17 - 11
Step 4:
17 - 11 = 6
If this is correct please give me brainliest.
p- (9-(m + q)); use m=4, p=5, and q=3
Answer:
3
Step-by-step explanation:
p-(9-(m+q))
5-(9-(4+3))
=5-(9-7)
=5-2
=3
How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. 0
Answer:
0
Step-by-step explanation:
the slope is the same and the intercepts are different
PLEASE HELP COMPARING RATIOS
Step-by-step explanation:
lena=45/5=9 laps per min
ann= 40/4=10 laps per min
Carmen=56/8= 7 laps per min
the fastest = ANN
The difference between 7 and -14.
Numerical expression
Answer:
7-(-14)
7+14=21
Step-by-step explanation:
- and - = +
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation: