Answer:
(k + 0.04)(k - 0.04)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
k² - 0.0016 = k² - (0.04)²
= (k + 0.04)(k - 0.04)
Hint: 0.0016 = [tex]\frac{16}{1000}=\frac{4^{2}}{100^{2}}=(\frac{4}{100})^{2} = (0.04)^{2}[/tex]
Write the slope-intercept form of an equation of the line that passes through the point (5, -5) and is parallel to the graph of the equation 3x + y = -2.
Answer:
[tex]y=-3x+10[/tex]
Step-by-step explanation:
Parallel equations have same slope
Therefore slope of 3x + y = -2 is same as slope of other equation.
Slope of 3x + y = -2 is
m=-3
Now we have write equation having slope -3 and passing through point (5, -5)
[tex](y+5)=-3(x-5)[/tex]
[tex]y=-3x+10[/tex]
The vertices of ABC are A (-5, 5), B (-2,5), C(-2,3).
1. Graph the figure ABC.
2, Translate each vertex 3 units down and 4 units to left.
3. Draw and label the vertices A'B'C.
Answer:
It will be in the attachment below.
Step-by-step explanation:
Translating a vertex 3 units down and 4 units to the left means that the x coordinate is 4 less than before and the y is 3 less. So, subtract 4 from -5 to get -9; from -2 (twice) to get -6 (twice), and subtract 3 from 5 (twice) to get 2 (twice); from 3 to get 0. So, the new coordinates are (-9, 2), (-6, 2), and (-6, 0). The original shape is in red, and the translated shape is blue.
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires now, how many attires did Clara had initially.
Answer:
let the numbet of formal attires with Clara be X
Clara lended susan 1/2 = X/2
Clara buys 4 = X/2 +4
Answer = X/2 + 4
( as the number of formal attires originakly with Clara is not specified)
I need help ASAP!!! I don't understand how to do this please show the work too
please help i dont understand
Answer:
ok
Step-by-step explanation:
AD is 14mm (all sides of rhombus is the same in length)
CBD 32
ADC 44
AED 58
DAC 78
BE 16.8
give me a brainlist thanks
What is the prime factorization of 6
Answer:
So, the prime factors of 6 are written as 2 × 3, where 2 and 3 are prime numbers. It is possible to find the exact number of factors with the help of prime factorisation. The prime factor of the 6 is 2 x 3. The exponent in the prime factorisation is 1 and 1.
:-))
Answer:
Factors of 6: 1, 2, 3, 6. Prime factorization: 2 x 3.
Step-by-step explanation:
I GIVE BRAINLIEST ANSWER QUICK
Solve the system below
x + 2y = -1
y = -3x - 8
A (2,-1)
B(-3,-l)
C(2,-2)
D (-3, 1
Answer:
It should be D.
Step-by-step explanation:
3. A uniform border on a framed photograph has the same area as the photograph. What are the outside dimensions of the border if the dimensions of the photograph are 25 cm by 30 cm? You must use partial factoring to solve this question.
PLEASE SHOW WORK
Answer:
hd
Step-by-step explanation:
NO WORK
Hard qn on Trigonometric equations and identities, please help
Answer:
(i) [tex]OE = 0.6\cdot \sin \theta + 1.4\cdot \cos \theta[/tex], (ii) [tex]\theta \approx 33.368^{\circ}[/tex], (iii) The maximum value of OE is approximately 1.523 meters, which is associated with an angle of approximately 23.199º.
Step-by-step explanation:
(i) From Geometry, we get that sum of internal angles of trangle AOD.
[tex]\angle A + \angle O + \angle D = 180^{\circ}[/tex] (1)
If we know that [tex]\angle O = 90^{\circ}[/tex] and [tex]\angle A = \theta[/tex], then the value of [tex]\angle D[/tex] is:
[tex]\angle D = 180^{\circ}-90^{\circ}-\theta[/tex]
[tex]\angle D = 90^{\circ}-\theta[/tex] (2)
But we also have the following identity:
[tex]\angle D +\angle D' +\angle D'' = 180^{\circ}[/tex] (3)
If we know that [tex]\angle D = 90^{\circ}-\theta[/tex] and [tex]\angle D' = 90^{\circ}[/tex], then the value of [tex]\angle D''[/tex] is:
[tex]90^{\circ}-\theta +90^{\circ}+\angle D'' = 180^{\circ}[/tex]
[tex]\angle D'' = \theta[/tex] (4)
By Trigonometry, we derive the following formula:
[tex]OE = OD +DE[/tex]
[tex]OE = AD\cdot \sin A +CD\cdot \cos D''[/tex] (5)
If we know that [tex]AD = 0.6\,m[/tex], [tex]CD = 1.4\,m[/tex], [tex]A = \theta[/tex] and [tex]D'' = \theta[/tex], then the value of OE is:
[tex]OE = 0.6\sin \theta + 1.4\cos \theta[/tex] (6)
(ii) If we know that [tex]OE = 1.1\,m[/tex], then the value of [tex]\theta[/tex]:
[tex]0.6\cdot \sin \theta + 1.4\cdot \cos \theta = 1.1[/tex]
By trial and error, we find that [tex]\theta \approx 33.368^{\circ}[/tex].
(iii) Let [tex]OE = 0.6\cdot \sin \theta + 1.4\cdot \cos \theta[/tex], the first and second derivatives of the function are, respectively:
[tex]OE' = 0.6\cdot \cos \theta -1.4\cdot \sin \theta[/tex] (7)
[tex]OE'' = -0.6\cdot \sin \theta -1.4\cdot \cos \theta[/tex] (8)
We equalize the first derivative of the function to zero and solve for [tex]\theta[/tex]:
[tex]0.6\cdot \cos \theta - 1.4\cdot \sin \theta = 0[/tex]
[tex]1.4\cdot \sin \theta = 0.6\cdot \cos \theta[/tex]
[tex]\tan \theta = \frac{0.6}{1.4}[/tex]
[tex]\theta \approx \tan^{-1} \frac{0.6}{1.4}[/tex]
[tex]\theta \approx 23.199^{\circ}[/tex]
And we evaluate the second derivative:
[tex]OE'' = -0.6\cdot \sin 23.199^{\circ}-1.4\cdot \cos 23.199^{\circ }[/tex]
[tex]OE'' = -1.523[/tex]
Then, the critical value is associated with an absolute maximum.
The maximum value of OE is:
[tex]OE = 0.6\cdot \sin 23.199^{\circ}+1.4\cdot \cos 23.199^{\circ }[/tex]
[tex]OE \approx 1.523\,m[/tex]
The maximum value of OE is approximately 1.523 meters, which is associated with an angle of approximately 23.199º.
Multiply.
(2x2 - 4x)(6x2 - 5x)
A. 12x4 - 10x3 + 20x2
B. 1244 - 10x2 + 20x
C. 1244 - 34x2 + 20%
O D. 1244 - 34x3 + 20x2
Answer:
You would have to distribute each one or use the box method whinch gives you :
12x^4 − 34x^3 + 20x^2
0.98 -1.9h
g= 17, h = 2
0.9g - 1.9h =
Answer:
11.5
Step-by-step explanation:
Answer:
11.5
Step-by-step explanation:
0.9(17) - 1.9(2) = and then solve
What is the nth term rule of the linear sequence below?
7, 9, 11, 13, 15, ...
Tn = 0
Answer:
the best number is 17 cuz the sequence is to add 2 sooo it's 17 then 19
Answer:
2n+5
Step-by-step explanation:
Sequence = 7,9,11,13,15 ....
tn = a + (n-1)d where a is first number, and d is common difference
tn = 7 + (n-1)2
= 7 + 2n - 2
= 2n+5
therefore tn (or nth term rule) = 2n+5
The lines represented by the equations 25y- 20x=100 and 5y - 4x = 20 are
Answer:
The system of equations represent the same line ⇒ B
Step-by-step explanation:
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system of the equations represent the same linea = d, b = e, and c ≠ f, then the system of the equations represent two parallel linesa ≠ d, and/or b ≠ e, and/or c ≠ f, then the system of the equations represent two intersecting lines∵ The one line represented by the equation 25y - 20x = 100
→ Divide the terms of the equation by 5 to simplify it
∴ 5y - 4x = 20 ⇒ (1)
∴ a = 5, b = -4, c = 20
∵ The other line represented by the equation 5y - 4x = 20 ⇒ (2)
∴ d = 5, e = -4, f = 20
→ Compare the two equations
∵ a = d, b = e, c = f
→ By using the 1st case above
∴ The system of equations represent the same line
. Which inequality is shown in the graph below? O 1 ys-X+ 1 2 ys-x+1 8 O 1 y-X+1 2 yz x+1 4 2 -8-6420 -2 2 4 6 8 1 y> X+1 2 o *****1 -6 -8 O 1 y =X+ 1 2 y
Answer:
the answer is the last one 1 -6 -8 O 1 y =X 1 2 y
Step-by-step explanation:
The feasible region of the result is defined by the system of inequalities.
Correct response:
The system of inequalities shown in the graph is given by the option B.
B. y ≤ x + 1
y ≤ x² - 3·x
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Methods used to find the system of inequalities
Please find attached the possible graph of the inequality
The possible graph obtained from a similar question has a straight line portion and a quadratic portion.
Points on the straight line are; (0, 1), (3, 4), and (5, 6)
Therefore;
Equation of the line is; y - 1 = 1 × x
Therefore;
y = x + 1
The shaded region is below the line which gives;
y ≤ x + 1
Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).
The general form of a quadratic equation is; y = a·x² + b·x + c
Therefore, we have;
0 = a × 0 + b × 0 + c
Which gives;
c = 0
4 = a × 4² + b × 4 = 16·a + 4·b
-2 = a × 2² + b × 2 = 4·a + 2·b
4 = 16·a + 4·b...(1)
-2 = 4·a + 2·b...(2)
Multiplying equation (2) by 2 and subtracting from equation (1) gives;
2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b
-4 = 8·a + 4·b
4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a
8 = 8·a
a = 1
-2 = 4 × 1 + 2·b
2·b = -2 - 4 = -6
Which gives;
y = 1·x² - 3·x = x² - 3·x
The line is a solid line and shaded region is the region under the graph which gives;
y ≤ x² - 3·x
Therefore;
The inequalities in the graph are given by option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Learn more about graph of inequalities here:
brainly.com/question/6749279
#SPJ7
noah put 40 on his fare card. everytime he rides public transportation, 2.50$ is subtracted from the amount available on his card
Answer:
if you wanted to know how long it would take for it to all be depleted it would be. 16 times noah can go on public transportation
Step-by-step explanation:
The function f(x) is a quadratic function and the zeros of f(x) are -2 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the quadratic polynomial in standard form.
Step-by-step explanation:
Since the zeroes of f(x) are -2 and 6,
(x + 2) and (x - 6) are factors of f(x).
=> f(x) = (x + 2)(x - 6) = x² - 4x - 12.
Answer:
The function f(x) is a quadratic function and the zeros of f(x) are -2 and 6. Assume the leading coefficient of f(x) is 1.
(x+2) and (x-6) are the factors of f(x)
[tex]f(x) = (x + 2)(x - 6) \\ = {x}^{2} - 6x + 2x - 12 \\ = \boxed{{x}^{2} - 4x - 12}[/tex]
(x²-4x-12) is the right answer.a man bought a camera for rupees 460 and sold it at 5% profit find the selling price of the camera
Answer:
profit is 23 selling price is $483
Step-by-step explanation:
Cp of Camera=Rs.460
profit= 5%
so profit =5% of 460=(5*460)/100=Rs.23
then selling prices of camera= cp of camera + profit Rs=$460+23=483 hope this helps
Write an equation of the line that passes through (2,2) and is parallel to the line y= 7x
Answer:
y = 7x + b must have the same slope
2 = 7(2) + b
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 5 MINUTIES
Answer:
B Im pretty sure
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just going by the trend this makes the most sense
write an equation in slope- intercept form (y=mx+b) slope:0 y-intercept: 9
Milo has 2 hours of free time. He spends 2/4 of an hour with his dog he spends 3/4 of an drawing. What fraction of an hour dose he has left
Answer:
3/4 time left
Step-by-step explanation:
Determine whether the graph represents a linear or non-linear function. Explain
A. Non-linear, graph is a curve.
B. Linear; graph is a straight line.
С. Non-linear, graph is a straight line.
D. Linear, graph is a curve.
4 people can stay at a hotel for a week for 42£. Find the hotel cost bill for 3
people for a week?
Answer:
31.5
Step-by-step explanation:
divide 42 by 4 you would get 10.5, then multiple 10.5 by 3 and you would get 31.5 thats the answer
what’s the slope of -5,-6 and 12,7 I need help with how to do the math to thanks
Answer:
m = 13\17
Step-by-step explanation:
M represents the slope
7--6
______
12- -5
= 13\17
May i please get brainlyist
3x+4a=2px+1 Solve for x.
Answer:
I hope this helps
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppp
Answer:
The answer is B.3 because
3*11=33+22=$55
3*9=27+28=$55
Is Point M the midpoint of AB? Select Yes or No for each statement.
Answer:
A). Yes
B). Yes
C). No
D). Yes
Step-by-step explanation:
Coordinates of the midpoint of a segment joining two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are given by [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex].
A). If the points are A(1, 2) and B(3, 4)
Coordinates of the midpoint M → [tex](\frac{1+3}{2},\frac{2+4}{2})[/tex]
M → (2, 3)
Yes.
B). Extreme points of segment AB are A(0, 8) and B(10, -1)
Coordinates of the midpoint will be,
M → [tex](\frac{0+10}{2}, \frac{8-1}{2})[/tex]
M → (5, 3.5)
Yes
C). Extreme points of segment AB are A(-7, -5) and B(6, 4)
Coordinates of the midpoint will be,
M → [tex](\frac{-7+6}{2}, \frac{-5+4}{2})[/tex]
M → (-0.5, -0.5)
NO
D). Extreme points of segment AB are A(4, -2) and B(6, -8)
Coordinates of the midpoint will be,
M → [tex](\frac{4+6}{2}, \frac{-2-8}{2})[/tex]
M → (5, -5)
Yes
Figure ABCD is a rhombus.What is the value of x? 13 14 26 28
Answer:
The answer is 13
Step-by-step explanation:
Took the test on Edge
Answer:
x=13 :)
I took the quiz
A scientist changes the temperature of a solution at a rate of
-8°C per minute. How many minutes will it take for the
solution's temperature to change from 0°C to -88°C?
hurry up
Answer:
11 minutes
Step-by-step explanation:
I may be missing something. This is too simple.
88 degree change at 8 degrees per minute = 11 minutes.
I need help with both of them I'm confused...
Answer:
8) d
9) a
Step-by-step explanation:
8) C = d ·π
36 = d ·π
36 / π = d
9) 4π is the difference, which is 12.56