Answer:
D)
Step-by-step explanation:
solve for x
5(2x-1) = 6
Answer:
x=1.1
Step-by-step explanation:
5 (2x-1)=6
10x-5=6
10x=6+5
10x=11
x=11/10
x=1.1
Answer:
Exact form
[tex]x=\frac{11}{10}[/tex]
Decimal Form
x=1.1
Step-by-step explanation:
What is an equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x-3y=18
Answer:
Step-by-step explanation:
4x-3y=18
3y=4x-18
y=4/3x-6
By y=mx+c , Slope of line 4x-3y=18 is 4/3
Since the required line is perpendicular to the line 4x-3y=18 ,
slope of required line * Slope of line 4x-3y=18 = -1
slope of required line = -1/(4/3) = -3/4
Since the required line passes through (8,-8)
By point-slope form,
y-(-8)= -3/4(x-8)
y= -3/4x-2
Is this a proportional relationship?
Answer:
No
Step-by-step explanation:
It is not being multiplyed evenly on both sides with each other
Paul brought $24.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. Paul had $2.00 left over after buying these items. What was the cost of each item
Answer:
so do
24.50-13=11.50
11.50-12.00= answer
Step-by-step explanation:
I think so
Find the length in the kite labeled x
12 in.
9 in.
13 in
Answer:
I think its 14
hope its right
Step-by-step explanation:
Solve for x and y
Hi
Answer:
x = 10, y = 20
Step-by-step explanation:
Because two sides of the rightmost triangle are congruent, the base angles would follow suit. This means 5x - 10 = 3x + 10. Simplifying this we get:
2x = 20
x = 10
Next, in the other triangle, we can say the same thing, the base angles would be congruent. From this we can say that the other base angle is 4y. Using the exterior angle theorem, we can say that the two angles with x terms add to 4y. This means 3x + 10 + 5x - 10 is 4y. We already know x is 10, so substituting that in we get:
80 = 4y
y = 20
Someone plz help me :(
C. Brooke finished in 115 minutes, so she was faster.
Charlie’s grandfather left him 100 shares of Apple Inc. and 40 shares of Ford Motor Company How much is his stock worth (in dollars), assuming Apple sells for $150 a share and Ford sells for $18 a share?
$15000+$720 = $15720
由于 1 美元等于 6.4 人民币,我们可以将 15720 乘以 6.4 得到正确结果:
100568¥
本题已由中国数学会官方解答(现有会员:2人)
Find the value of x
Answer:
-2
WORK
f(x) = 3x + 2
f(x) = -4
-4 = 3x + 2
-4 = 3x + 2
-2
-6 = 3x
-6/3 = -2
find the largest area of an isosceles triangle inscribed in a circle of radius 3
Answer:
Here is the answer and explanation all together
The largest area of an isosceles triangle that is inscribed in a circle of radius 3 units is 3.897 sq. units approx.
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.
For this case, we can construct a general circle and a variable isosceles triangle in it.
Let the radius of the circle be 'r' units.
For isosceles triangle inscribed in that circle, its vertex(intersection of two congruent sides) be fixed, and other two vertex are allowed to move equally on both the sides of that first vertex.
Those rest two vertices make a chord in that circle. Let the perpendicular distance from the center be 'd' units of that chord.
Then, by Pythagoras theorem for triangle OBD, we get:
[tex]|OB|^2 = |OD|^2 + |BD|^2\\|BD| = \sqrt{|OB|^2 - |OD|^2}\\|BD| = \sqrt{r^2 - d^2} \: \rm units[/tex]
Thus, as perpendicular from center to a chord bisects it, we get:
[tex]|BC| = |BD| + |DC| = |BD| + |BD| = 2\sqrt{r^2 - d^2}[/tex]
The distance from the first vertex (A) to the mid of the line segment BC is: r - d units.
Thus, area of the considered isosceles triangle is:
[tex]A = f(r,d) = \dfrac{1}{2} \times (r - d) \times 2\sqrt{r^2 - d^2} = (r-d)^{1.5}(r+d)^{0.5}[/tex]
At r = 3 units, we get:
[tex]f(3,d) = g(d) = (3-d)^{1.5}(3+d)^{0.5}[/tex]
Finding the value of 'd' for which the function g(d) becomes maximum will give us the maximum area.
Finding first and second derivative of g(d) with respect to 'd', we get:
[tex]g(d) = (3-d)^{1.5}(3+d)^{0.5}\\g'(d) = -1.5(3-d)^{0.5}(3+d)^{0.5} + 0.5(3+d)^{-0.5}(3-d)^{1.5}\\g''(d) = -1.5[-0.5(3-d)^{-0.5}(3+d)^{0.5}] + 0.5[-0.5(3+d)^{-1.5}(3-d)^{1.5}]\\[/tex]
Putting first rate = 0 to find the critical points, we get:
[tex]g'(d) =- 1.5(3-d)^{0.5}(3+d)^{0.5} + 0.5(3+d)^{-0.5}(3-d)^{1.5} = 0\\3(3-d)^{0.5}(3+d)^{0.5} = (3+d)^{-0.5}(3-d)^{1.5}\\3(3+d) = (3-d)\\9 + 3d = 3 - d\\d = 1.5[/tex]
At d = 1.5, the second rate of g(d) evaluates to:
[tex]g''(1.5) = -1.5[-0.5(3-1.5)^{-0.5}(3+1.5)^{0.5}] + 0.5[-0.5(3+1.5)^{-1.5}(3-1.5)^{1.5}]\\g''(5) = 0.75(1.5)^{1.5}(4.5)^{0.5} -0.25(4.5)^{-1.5}(1.5)^{1.5}\\g''(5) =[/tex]
The area of the isosceles triangle is maximum, and is evaluated as:
[tex]A_{max} = f(3,1.5) = g(1.5) = (3-1.5)^{1.5}(3+1.5)^{0.5} \approx 3.897 \: \rm unit^2[/tex]
Thus, the largest area of an isosceles triangle that is inscribed in a circle of radius 3 units is 3.897 sq. units approx.
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Express as a complex number in simplest a+bi form:
7-8i/-5+3i
[tex] \Large{\boxed{\sf z= -\dfrac{59}{\: 34} + \dfrac{19}{34}i}} [/tex]
[tex] \\ [/tex]
Explanation:To express the given complex number in a + bi form, also known as algebraic form, we will need to define what the conjugate of a complex number is.
[tex] \\ [/tex]
What is the conjugate of a complex number?[tex] \\ [/tex]
[tex] \textsf{Let z be our complex number, and} \: \overline{\sf z} \: \textsf{its conjugate.} [/tex]
[tex] \\ [/tex]
The conjugate of z, [tex] \overline{ \sf z}, [/tex] is the complex number formed of the same real part as z but of the opposite imaginary part.
Since a is the real part of z, and b is its imaginary part, this can be expressed as:
[tex] \sf If \: z = a + ib \:, then \: \overline{ \sf z} = a - ib [/tex]
[tex] \\ [/tex]
Let's express the complex number we're given in algebraic form.[tex] \\ [/tex]
[tex] \sf z = \dfrac{7 - 8i}{ - 5 + 3i} \\ \\ \\ \diamond \sf Multiply \: both \: the \: numerator \: and \: the \: denominator \: by \: the \: conjugate \: of \: - 5 + 3i. \\ \\ \\ \sf z = \bigg(\frac{7 - 8i }{ - 5 + 3i \: } \bigg) \times \bigg( \frac{ - 5 - 3i}{ - 5 - 3i} \bigg) = \dfrac{(7 - 8i)( - 5 - 3i)}{( - 5 + 3i)( - 5 - 3i)} \\ \\ \\ \diamond \: \sf Expand \: knowing \: that \: (a + b)(c + d) = ac + ad + bc + bd. \\ \\ \\ \\ \sf z = \dfrac{7( - 5) + 7( - 3i) + ( - 8i)( - 5) + ( - 8i)( - 3i)}{( - 5)( - 5) + ( - 5)( - 3i) + 3i( - 5) + 3i ( - 3i)} \\ \\ \\ \sf z = \dfrac{ - 35 - 21i + 40i + 24 {i}^{2} }{25 + 15i - 15i - 9 {i}^{2} } = \dfrac{24 {i}^{2} + 19i - 35 }{25 - 9{i}^{2} } \\ \\ \\ \diamond \sf \: Substitute \: {i}^{2} = - 1. \\ \\ \\ \sf \: z = \dfrac{24( - 1) + 19i - 35}{25 - 9( - 1)} = \dfrac{ - 24 + 19i - 35}{25 - ( - 9)} = \dfrac{ - 59 + 19i}{34} \\ \\ \\ \diamond \: \sf Simplify \: the \: expression. \\ \\ \sf \: z = \dfrac{ - 59 + 19i}{34} = \dfrac{ - 59}{ \: \: 34} + \dfrac{19i}{34} \\ \\ \\ \\ \implies \boxed{ \boxed{ \sf z = - \dfrac{59}{34} + \dfrac{19}{34}i }} [/tex]
[tex] \\ \\ [/tex]
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2x + y = 8
x + 3y = 19
Answer:
x=1, y=6
Step-by-step explanation:
please help with this question
f(n)=2.55+3.75(n), n>0
Answer:
SR= 2.55
GC=3.75
n=?
n rep number of games
SR shoe rental
GC Game cost
f(n)=2.55+3.75n
2.55=3.75n
n=2.55÷3.75
n=0.68
Convert 220 feet into yards. Round your answer to the nearest tenth.
Answer:
73.33333 Yards = 74 Yards
Step-by-step explanation:
1 yard = 3 feet
220 ft * 1 yard / 3 ft
73.33333 = 74 yd
Step-by-step explanation:
the other answer is essentially correct but wrong for rounding.
again, 1 yd = 3 ft
220/3 = 73.3333... yd
rounded to the nearest tenth this is
73.3 yd
PLEASE, HELP PLEASE !!
Determine if triangle RST and triangle UVW are or are not similar. If they are state how you know.
Answer:
Yes they are similar yes I think there is a ratio in which one is larger
Step-by-step explanation:
I hope this help
Name 5 decimals between 3 and 4
Answer:
3.1
3.2
3.3
3.4
3.5
Step-by-step explanation:
Here are the five decimals between 3 and 4:
3.2, 3.6, 3.7, 3.8, and 3.9
What are decimals?
One of the number types in algebra that has a whole integer and a fractional portion separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
Therefore, the five decimals between 3 and 4 are 3.2, 3.6, 3.7, 3.8, and 3.9
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Would you like some points? Its 20
Answer:
oh! thanks for points
but this is yr question or what????
Answer:
20
Step-by-step explanation:
because it would stay the same
Solve for a
7a - 2b = 5a + b
A. a = 2b
B. a = 3b
C. a = 3/2b
D. a = 2/3b
Answer:
C. a = 3/2b
Step-by-step explanation:
7a - 2b = 5a + b
7a = 5a + 3b
7a - 5a = 3b
2a = 3b
a = 3/2b
Answer:
C. a = 3/2b
Step-by-step explanation:
7a - 2b = 5a + b
7a = 5a + 3b
7a - 5a = 3b
2a = 3b
a = 3/2b
I NEED HELP RIGHT AWAY!!!! I'LL GIVE YOU 30 POINTS AND TRY TO MARK YOU AS BRAINLIST.Q: What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
The variables are the alphabets which can have any value depending on the relationship with the other numbers and variables in the equations.
To create the graph, select the correct relationship and then enter the values for the variables.
The graph is the representation of the equation in the form of lines or shapes.
The correct method to create a graph is to find the relationship of the variables and put their values to get the exact points.
The points are joined together to draw the required line or shape formed.
The best option of the given question is:
To create the graph, select the correct relationship and then enter the values for the variables.
For example in the given graph we see that the rate is increasing as the mass is decreasing.
The mass is plotted along x-axis and the rate along the y-axis.
Their relationship that they are inversely proportional i.e. one increases as the other decreases can be seen in the given graph.
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read this and answer please
Answer:
Dont know
Dont know
Dont know
Dont know dont know dont knowwwwwwwwwwwwwww
Which expression is NOT equivalent to the others?
a. 5+ (-7)
b. 5 - 7
c. 7 - (-5)
d. -7 + 5
Answer:
7-(-5)
Step-by-step explanation:
The other answers are all equal to -2. However, the answer for c is 12 which is the odd one out. Hope this helps :)
I NEED HELP ASAP
NO LINKS PLEASE
Answer:
a) 75
b) 360 students
c) 56 ; 57 ; 58
d) 134 inches
e) 27°
Step-by-step explanation:
a)
[tex]5x = 375 \\ x = \frac{375}{5} \\ x = 75[/tex]
b)
[tex] \frac{x}{3} = 120 \\ x = 120 \times 3 \\ x = 360[/tex]
c)
[tex]x + x + 1 + x + 2 = 171 \\ 3x = 168 \\ x = 56 \\ (x + 1 = 57) \\ (x + 2 = 58)[/tex]
d)
[tex]2x + 2 \times 70 = 408 \\ 2x = 408 - 140 \\ x = \frac{268}{2} \\ x = 134[/tex]
e)
[tex]180 = 90 + 63 + x \\ x = 180 - 90 - 63 \\ x = 27[/tex]
What is 270° converted to radians?
Answer:
4.712 radians
Step-by-step explanation:
TRAVEL Two trains leave Raleigh at the same time, one traveling north, and the other south. The first train travels at 50 miles per hour and the second at 60 miles per hour. In how many hours will the trains be 275 miles apart
What is the definition for congruent line segments for geometry?
What is f(5)?
Dhejdk
Answer:
5f
Step-by-step explanation:
Sinx+(75độ)=sin 15 độ
Step-by-step explanation:
Did you mean :
sin(x + 75°) = sin(15°)
x + 75° = 15°
x = 15° - 75°
x = -60°
I need help with this ASAP
Answer:
I think its Factor
Step-by-step explanation: (x-4) (x+1)
And for the equation x=4,-1
can somebody please help m eits 9th grade math im so confused !
Answer:
Option 3: (5, 1)
Step-by-step explanation:
There are several ways of solving for systems of linear equations, either through graphing, substitution, or elimination.
The graphing method is the easiest, as you only need to plot points on the graph using the y-intercepts and the slopes.
I will be demonstrating the graphing method.
Given the systems of linear equations:
Equation 1: y = x - 4
where the slope, m = 1, and y-intercept (0, -4).
Equation2: y = -x + 6
where the slope, m = -1, and y-intercept (0, 6).
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b).
Graphing Instructions:For Equation 1, plot the y-intercept, (0, -4) on the graph. Then use the slope, m = 1 (rise 1 unit, run 1 unit) to plot other points on the graph. Repeat this process until you have enough points to connect a line with.
Repeat these same procedures for graphing Equation 2, start by plotting its y-intercept at (0, 6), and its slope, m = -1 (down 1 unit, run 1 unit).
Solution:
The intersection of both lines occurs at point, (5, 1), which is solution to the given systems of linear equations. Therefore, the correct answer is the third option, (5, 1).
Attached is the screenshot of the graphed systems of linear equations, where it shows the point of intersection at (5, 1).
daniela is intervewing for a job.she wants her take-home pay to be at least $51,000.what is the least salary she can earn if she pays 15% income tax?
Answer:
60,000
Step-by-step explanation:
hope this helps x