Step-by-step explanation:
hope I understand your question
a = 9/12
b = 6/5
c = 1/12
please simplify the fractions by yourself
please help me out real quick.
Answer:
[tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex]
Step-by-step explanation:
Key formulas used:
[tex]\sqrt{x}^2=|x|[/tex] [tex](a+b)^2=a^2+2ab+c^2[/tex]Given [tex]\sqrt{3x+4}=1+\sqrt{3x-11}[/tex],
We can use the first formula on the left side of the equation.
In this case, for [tex]\sqrt{x}^2=|x|[/tex], [tex]x=3x+4[/tex], we have:
[tex]\sqrt{3x+4}^2=|3x+4|[/tex]
Similarly, we can use the second formula on the right side of the equation.
In this case, for [tex](a+b)^2=a^2+2ab+c^2[/tex], [tex]a=1, b=\sqrt{3x-11}[/tex], we have:
[tex](1+\sqrt{3x-11})^2=1^2+2\cdot 1\cdot \sqrt{3x-11}+\sqrt{3x-11}^2,\\=1+2\sqrt{3x-11}+3x-11,\\=3x+2\sqrt{3x-11}-10[/tex]
Therefore, when you square both sides of the equation, you get:
[tex]\boxed{\text{B. }3x+4=3x+2\sqrt{3x-11}-10}[/tex]
*Important:
This answer choice is actually only correct if [tex]3x+4>0[/tex], because of the first formula we used. If [tex]3x+4<0[/tex] (negative), then [tex]3x+4\neq \sqrt{3x+4}^2,\text{ if }3x-4<0[/tex]. Graphically, you can show this since the line [tex]y=\sqrt{x}^2[/tex] is not equal to [tex]y=x[/tex] but instead [tex]y=|x|[/tex]. [tex]y=\sqrt{x^2}[/tex] and [tex]y=x[/tex] only overlap if you restrict the domain to [tex][0, \infty)[/tex] (positive numbers), hence [tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex].
help pls help pls help
Answer:
18.6
Step-by-step explanation:
We know a side and a angle opposite of that side
(AC and Angle B respectively).
We know another side(AB). and are trying to find a angle opposite of it.
Let use Law of Sines rules.
[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]
Substitute the values in.
[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]
Solve for sin x by taking the reciprocal of both sides.
[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]
Remeber sin 90 =1 and multiply 7 by both sides.
[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]
Take the inverse of sin to find the angle measure.
[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]
The answer is
18.6
What’s the value of x?
G
53°
45
H
x°
Answer:
x = 98°
Step-by-step explanation:
95 + 53 + (180 - x) = 180
148 + 180 - x = 180
328 - x = 180
328 - x + x = 180 + x
x + 180 = 328
x + 180 - 180 = 328 - 180
x = 98°
The required measure of the remote exterior angle x is 98°.
Given that,
A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the angle?The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°
Thus, the required measure of the remote exterior angle x is 98°.
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Does anyone know the answer ?!?
Answer:
40/100 = .4 = 40%
Step-by-step explanation:
- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.
Answer:
2.4f-17
Add similar elemets : 2.7f + 0.3f =2.4f
Subtract the numbers:-12 - 5= -17
Answer:
- 2.4f - 17
Step-by-step explanation:
Given
- 2.7f + 0.3f - 12 - 5 ← collect like terms
= - 2.4f - 17
What is the surface area of a sphere with a radius of 21 units
Hope this helps
Answer: 5541.77
Drag the number of solutions to match the equation. Each tile may be used only once. 4(3x+2)=4(2x+3)+4x vacío 10(x+4)–3=14x+1 vacío 12(10x+15)–32=2x+6+3x
Step-by-step explanation:
The given equation is :
4(3x+2)=4(2x+3)+4x
Solving LHS, = 12x+8
Solving RHS, = 8x+12+4x
So,
12x+8 = 8x+12+4x
12x + 8 = 12x +12
12x cancel out from both sides, the given equation becomes not defined.
help me in these please. You will then get BRAINLIEST
1 Ques
Answer
a) Subtract x from both sides:
Divide both sides by -4 to get:
(b)
Add x to both sides:
Subtract 16 from both sides:
Divide both sides by 26 to get:
Simplify:
(c)
Add 12 to both sides:
Subtract x from both sides:
Divide both sides by 7 to get: or we can write
if the circumfrence of a circl is 18π inches, what is the radius of the circle
Answer:
r≈2.86
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=18
2·π≈2.86479
Price of a mobile phone including 10% GST is rs.16,600. Find the p[rice of mobile phone before gst was added
Answer:
16,600 = 110%, you can do this in your head minus 1,660 GST (whatever that is) 14,940
Step-by-step explanation:
If QR = 8 and PR = 14, what is PQ? Write your answer as a decimal or integer.
b / -7 = 4
solve question correctly
Answer:
b/-7=4
b=4*-7
b= - 28
Step-by-step explanation:
If this helps you mark as brainlist.!
Answer: -28
Variable/unknown - B
Numbers we know: -7 and 4.
How to solve: Use inverse division. The inverse of division is multiplication.
7 has a negative sign. However, 4 is positive.
N + P = N
P + N = N
Rules of integers:
If both the signs of the two numbers are the same, it will be positive.If both the signs of the two numbers are different, it will be negative.-7 is negative.
4 is positive.
Formula: N + P = N
-7 x 4 = -28
Final answer: -28
Find the area of the following shape:
Answer:
19 cm²
Step-by-step explanation:
→ Work out the area of the rectangle
1 × 7 = 7
→ State the formula for the area of the triangle
0.5 × base × height
→ Find the base and height
Base = 3 and height = 8
→ Substitute values into formula
0.5 × 3 × 8 = 12
→ Add this total to the rectangle formula
12 + 7 = 19 cm²
PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.
Answer:
Did you find them ?
Step-by-step explanation:
15 _ { 10 } + X _ { 2 } = 11011 _ { 2 }
11011₂ = 2⁴ + 2³ + 2¹ + 2⁰ = 27
15 + x₂ = 27
x₂ = 12 = 8 + 4 = 2³ + 2² = 1100₂
A hall which is 8m long is represented on a diagram as 4 cm long. What is the scale of the diagram?
Answer:
1cm to 2m
Step-by-step explanation:
self explanatory i think
In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?
Given:
Consider the below figure attached with this question.
The rate of change of the linear function is -8.
To find:
The value of a.
Solution:
If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:
[tex]m=\dfrac{a-27}{11-10}[/tex]
[tex]m=\dfrac{a-27}{1}[/tex]
[tex]m=a-27[/tex]
The rate of change of the linear function is -8.
[tex]-8=a-27[/tex]
[tex]-8+27=a[/tex]
[tex]19=a[/tex]
Therefore, the value of a is 19.
Answer:
it is C
Step-by-step explanation:
A right triangle has side lengths d, e and f as shown below use the lengths to find sin x cos x and tan x
BRAINLIEST
Answer:
sin is d/f
cos is e/f
tan is d/e
Step-by-step explanation:
sin is opposite over hypotenuse
cos is adjacent over hypotenuse
tan is opposite over adjacent
Some old hippie, caught another hippie, tripping on acid
The table above shows the value of Henry’s car for each o of the first 3 years after it is purchased. The values form a geometric sequence. What will be the approximate value of the car in the 10th year?
A $2,680
B. $5,240
C. $6,550
D. $2,150
Answer:
D.
Step-by-step explanation:
You need to use a graphing calculator to figure it out.
Art class is 5% of an hour each school day. How many hours of art does a student have in five days ?
*no links are allowed. *
Answer:
okay, so ... In a day, We all have 24 hours in a day
60 mins = 1 hr
5%
5/100×1 hr=
5 days =
okay, this is difficult
I really need some help. Plz show your work, Thanks!
Answer:
Step-by-step explanation:
please help :))))))))
Find the area of the triangle. (A = 1/2*b*h)
8f(x)=x
2
+6x+8f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 6, x, plus, 8
1) What are the zeros of the function?
Write the smaller xxx first, and the larger xxx second.
\text{smaller }x=smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals
\text{larger }x=larger x=start text, l, a, r, g, e, r, space, end text, x, equals
2) What is the vertex of the parabola?
Answer:
-2 and -4
Step-by-step explanation:
Given the function f(x) = x² + 6x + 8
If f(x) = 0
x² + 6x + 8 = 0
Factorize
x² + 4x + 2x+ 8 = 0
x(x+4)+2(x+4) = 0
(x+2)(x+4) = 0
x+2 = 0 and x+4 = 0
x = -2 and -4
Hence the zero of the function is -2 and -4
given the function k(x) = 3x -2, k(4) equals?
Answer:
10
Step-by-step explanation:
3(4) -2 = 12 - 2 = 10
Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt
Evaluate the expression when m=4 and n=31.
n-3m
Answer:
19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
m = 4
n = 31
n - 3m
Step 2: Evaluate
Substitute in variables: 31 - 3(4)Multiply: 31 - 12Subtract: 19Hi there!
»»————- ★ ————-««
I believe your answer is:
19
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\n-3m;\text{ } m= 4, n = 31\\---------\\\rightarrow 31-3(4)\\\\\rightarrow 31 - 12\\\\\rightarrow \boxed{19}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =
Answer:
4x +5
Step-by-step explanation:
f(x)= 10 – 2x
g(x) = 6x - 5
(f+g)(x) =10 – 2x + 6x - 5
Combine like terms
= 4x +5
Answer:
( f + g )( x ) = 4 x + 5
Step-by-step explanation:
f ( x ) = 10 - 2 x
g ( x ) = 6 x - 5
( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )
= 10 - 2x + 6 x - 5
combine like terms
= 2 x + 6 x + 10 - 5
= 4 x + 5
Pls help me with this equation
Answer:
x = 20 degree
Step-by-step explanation:
Hope this helps u !!
Here are five number cards. 19 13 10 14 22 Two of the five cards are picked at random. Work out the probability that the total of the two numbers is more than 32 + Total marks: 3
Answer:
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
+
Total marks: 3
The probability that the total of the two numbers is more than 32 is 2/5.
What is Probability ?Probability is the study of likeliness of an event to happen.
The number cards given are 19 , 13 , 10 , 14 , 22
The Probability when two number cards are drawn then th sum is moire than 32 is ?
Probability = Favourable Outcomes / Total Outcomes
Total outcomes when total cards is 5 and no. of cards drawn is 2
= [tex]\rm ^5C_2[/tex]
= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))
= 10 outcomes
Favourable Outcomes
= ( 19 , 14) (19,22) (13,22)(14,22)
= 4
Probability = 4/10 = 2/5
Therefore the probability that the total of the two numbers is more than 32 is 2/5.
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