Answer:
Possible value of k is √2
Step-by-step explanation:
The information given are;
The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;
2·(√k - 1) + √8 - 6·√2 = R
Therefore, simplifying gives;
2·√k - 2 + 2·√2 - 6·√2 = 2·√k - 2 - 4·√2 = R
2·√k - 2 - 4·√2 + 2= R + 2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R
(√k - 2·√2) = R/2 = R
Therefore, √2 is a factor of √k such that √k - 2·√2 = R
Which gives k = x·√2, where x = a rational number
When x = 1, k = √2.
Therefore, a possible value of k is √2
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons,
explain how to determine what the y-intercept is and where it would be located on a graph.
Please help me, i'm stupid and i don't know where, or how to find this.
Answer:
I am stuck on that question tooo
Step-by-step explanation:
Step-by-step explanation:
First, let's write an equation.
h= numbers of hours, the instructor will charge $8 per hour.
s= amount of $
"12" is the initial fee.
From this information the equation will look like:
s=8h
However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)
I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".
Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
1/4(12+8x)
Answer:
3+2x
Step-by-step explanation:
Distribute the equation out.
1/4(12+8x)
(1/4*12)+(1/4*8x)
Multiple those out to get a new equation
3+2x
You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x
What property is 5/7*5/7=1
Answer:multiple property
Step-by-step explanation:
Answer: Associative property of multiplication: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.
Step-by-step explanation: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.
I really hope it help!!!!!!!!!
Question 3
Consider the parallelogram below with an area of 672 cm?
9x-12
16
Answer:
Are of parallelogram = base * height
672 = b*h
or, (9x-12)* 16 =672
0r 9x-12 = 42
9x = 54
x=6
height =9x-12 = 54 -12 = 42
Step-by-step explanation:
How many solutions does y=-x^2-4x+7 have
Answer:
x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
Step-by-step explanation:
Solve for x:
y = -x^2 - 4 x + 7
y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:
-x^2 - 4 x + 7 = y
Multiply both sides by -1:
x^2 + 4 x - 7 = -y
Add 7 to both sides:
x^2 + 4 x = 7 - y
Add 4 to both sides:
x^2 + 4 x + 4 = 11 - y
Write the left hand side as a square:
(x + 2)^2 = 11 - y
Take the square root of both sides:
x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
Definition: This is a fraction in which the numerator is larger than the denominator.
A wise man once said, "400 reduced by 3 times my age is 220,"what is his age?
400-220=180
180/3=60
The answer is 60.
For the pair of functions, find (f • g)(x) and (gof)(x).
f(x) = -2x2 g(x) = x + 4
A. (g)(x) = -283 - 8x?: (gof)(x) = -2x3 - 8x2
B. (f 9)(x) = -2x2 – 16x - 32; (gof)(x) = -2x2 + 4
C. (og)(x) = -2x2 + 4; (g - f)(x) = -2x2 – 16x - 32
D. (fog)(x) = -2x2 – 32; (g - )(x) = -2x2 + 4
The length of a rectangle is three more than twice the width. Find the width and the length if the perimeter is 84 f
[tex]\text{Hello! :D}[/tex]
[tex]\boxed{\text{width = 13ft, length = 29ft}}[/tex]
[tex]\text{ Let the width = "w":}\\\\\text{Write an expression to represent the length in terms of "w":}\\\\l = 2w + 3\\\\\text{Formula of a rectangle: } \\\\P = 2l + 2w\\\\\text{Therefore:}\\\\84 = 2(2w + 3) + 2(w)\\\\84 = 4w + 6 + 2w\\\\84 = 6w + 6\\\\\text{Subtract 6 from both sides:}\\\\78 = 6w\\\\\text{Divide both sides by 6:}\\\\78/6 = 6w/6\\\\w = 13ft\\\\\text{Plug this value of "w" into the equations for the length:}\\\\l = 2(13) + 3\\\\l = 26 + 3\\\\l = 29ft[/tex]
Find the solution set.
r^2 = 16
Separate the two values with a comma.
The solution set is r = (+4, -4) .
first term is 3, common difference is 4 what is the 5th term
Answer:
19
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 4 , thus
a₅ = 3 + (4 × 4) = 3 + 16 = 19
HELP ME PLEASE <33 I NEED THIS
The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.
Need help on question 11 please!! (Will mark as Brainliest)
I think it is adjacent because it isn't linear or vertical at all.
what the answer to -3-z=?
Hey there!☺
[tex]Answer:\boxed{-z-3}[/tex]
[tex]Explanation:[/tex]
[tex]-3-z[/tex]
-3 + -z Add together
-z - 3
Hope this helps!
Write the algebraic expression:
Two times a number plus two
Which fraction is not in simplest form?
10/21
It would be the last bubble, 4/6
hope I helped ya
PLEASE HELP ASAP! URGENT!
Which of the below terms best describe the relationship between <3 and <4
Answer: because 4 would be greater than 3.
Step-by-step explanation:
What is
y = - (2+2)(x - 1)
On a graph
Show your work. Round to the nearest tenth if necessary. A. x=9 B. x=8.7 C. x=9.3
Line GH bisects angle FGI, that means angle FGH = angle HGI
To Find:the value of x and angle FGI
Solution:angle FGH = angle HGI
6x - 11 = 4x + 7
or, 6x - 4x = 7 + 11
or, 2x = 18
or, x = 18/2 = 9
angle FGI = angle FGH + angle HGI
or, angle FGI = 6x - 11 + 4x + 7
or, angle FGI = 10x - 4
By putting the value of x, we get
angle FGI = 10(9) - 4
or, angle FGI = 90 - 4 = 86°
Answer:The value of x is 9.
Angle FGI = 86°
The Mp of coke is 20%more than its purchased price.if the coke was sold after 15%duscount,there will be gain of rs.40,find the M.p and Cp
Answer:
let cp be x
mp= x+ (20% 0f x)= 1.2x
sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x
profit = 40
sp-cp =40
1.02x-x=40
x=2000
cp =2000
mp= 1.2*2000=2400
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
X= 62 Y=620
Step-by-step explanation:
Y is right because its ten times more than x and x is right because you take the three side and you multiply each one by 2 then you add then all together and you get 62.
Can i be made brainliest i need it
Suppose A and B are points. How many distinct lines contain both A and B?
оо
1
2
3
infinitely many
Answer:
The correct option is;
1
Step-by-step explanation:
A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location
Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.
What is the correct order of steps for bisecting angle ABC?
Answer: First choice. ECFBDA
Explanation:
The answer choices list either step E or step F first.
It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.
The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.
Therefore the correct sequence is ECFBDA.
ECFBDA is the correct order of steps for bisecting angle ABC.
What is angle bisector?"Angle bisector is defined as the ray which divides an angle into two equal measures."
According to the question,
Rearrange the given statements in correct order of steps for angle bisector.
E. Place the compass on point B, and swing an arc that intersects rays BA and BC.
C. Place point D on the intersection of the arc on ray BA and point E on
the intersection of the arc with ray BC.
F. Place the compass on point D, and draw an arc inside the angle.
B. Keeping the compass the same distance , place the compass on point
E. draw an arc inside the angle.
D. Place point F on the intersection of the arcs created from points D
and E.
A. Draw a ray from point B through point F.
Hence, ECFBDA is the correct order of steps for bisecting angle ABC.
Learn more about angle bisector here
https://brainly.com/question/12896755
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can anyone help thanks
Answer:
x = 8, -4
Step-by-step explanation:
2x-4-6=6; therefore, x = 8
2x-4=-12; therefore, x = -4
A worker finds that it takes 9 tiles to cover one square foot of floor. Which equation represents relationship between the square feet (f) and the number of tiles
Evaluate the following expression. cos315°
Answer:
[tex]\sqrt{2}/2[/tex]
Step-by-step explanation:
Making a unit circle will be very helpful if you don't already have one. You will use it for years to come.
Find each measurement. Assume that each figure is not drawn to scale.
1. NQ
1 in.
2. GH
F
9.7 mm
G
H
Р
N
15 mm
Find the value of x and YZ if Y is between X and Z.
3. XY = 2x + 1, YZ = 6x, and XZ = 81
Answer:
1) 2 1/4 inches (2.25)
2) 5.3 millimeters
3) X=10 and YZ=60
Step-by-step explanation:
Number 1, you just add the measurements because n and q is the start and end of the line segment.
Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.
Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.
Can you simplify 10/16?
Answer:
5/8
Step-by-step explanation:
I need help...!!!!!please...
Step-by-step explanation:
sorry i am busy i will answer it tomorrow or free time