Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.
Construct a rectangle with sides 6cm and 4cm.
Answer:
Step-by-step explanation:
Answer:
First, draw a line segment AB = 6 cm.Draw a ray AX with pencil and compass such that ∠BAX = 90°. Draw an arc of 4 cm with point A which intersects AX at D.Similarly, draw ray BY such that ∠ABY = 90°. Draw an arc of 4 cm with point B which intersects BY at C.Join CD.Thus ABCD is the required rectangle.Find the highest common factor of 12 and 40
To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.
[tex] \purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}[/tex]
Take every common prime factor between 12 and 40[tex] \red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \: [/tex]
Finally, identify the factors common to each number and multiply those common factors together.
[tex] \rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2[/tex]
[tex]\rm\orange {\large \implies} \large \:HCF = 4[/tex]
Seven times the twice of a number and 6 equals 4
Answer:
7(2a+6) = 4
and the answer is:
19/7
Step-by-step explanation:
7(2a+6) = 4
7*2a + 7*6 = 4
14a + 42 = 4
14a = 4 - 42
14a = -38
a = -38/14
a = -19/7
The following two way table shows the number of students of a school who have a cell phone and or have a part-time job.
Answer:
the answer is b.40 that the kids that are working and have phone b
Write a quadratic equation, in factored form solution are 0,and 6
Answer: [tex]x(x-6)=0[/tex]
Please help me asap 5/11
By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.
How to determine the content associated to the index of a matrix
Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.
Each element of an matrix A has an associated index with the following form:
[tex]a_{i,j}[/tex]
Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".
In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.
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difference between compounded annually, monthly and daily.
Answer:
With monthly compounding, the bank will calculate interest on your account just once per month. It will not update your balance on a daily basis when it calculates how much interest it owes you. Assuming that the APR is the same, accounts with monthly compounding offer a lower APY than accounts with daily compounding.
∠C, ∠F are rt. ∠'s; AB = DE; BC = EF
Find the values of a and b 3 * 2 = a + b if
value of a = 3
value of b = 2
a + b = 3 + 2 = 5 .
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 37 hours and the median is 33.2 hours. Twenty-four of the families in the sample turned on the television for 22 hours or less for the week. The 10th percentile of the data is 22 hours. Based on the given information, determine if the following statement is true or false. Approximately 120 families turned on their televisions for less than 37 hours.
The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.
What is true about the data?From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.
On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.
Hence, the statement is true.
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Ariana scored 89% out of 600 in Exam what could be the marks she had scored?
Answer:
534
Step-by-step explanation:
The solution is in the image
the probability of drawing a diamond or a queen from a pack of 52 cards is
Answer:
25 percent chance or 13/52 for drawing a diamond and 4/52 for a queen
Step-by-step explanation:
There are 13 diamonds in a stack of 52 cards, hence 13/52 or 25 percent chance of drawing a diamond.
Since there are only 4 queens in a stack of 52 cards, so 4 out of 52 cards are queens
convert the following numbers into scientific notation
3,400=
0.000023=
4.50=
1,000,000=
0.00671=
The Scientific notation of given numbers are [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
Therefore, the Scientific notation of given numbers are [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
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Can someone explain to me #2 I only need #2
Answer:
in a rectangle, opposite sides are equal in length
Step-by-step explanation:
now in this question, Pythagoras theorem is being used to find the length
we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd
Step-by-step explanation:
So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²
In this problem A = 21 B = 28 and C = the length of BD
so it'll look like 21²+28²=Length of BD² or BD²=21²+28² now you find BD
first do 21²+28² --> 441+784 --> 1225 Now you know that 21²+28²=1225
so BD²=1225 Then to find BD, you find √1225(square root of 1225)
Which is 35 So BD=35 and you want to know what BD+AC is
so 35+35=70
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.
The options that are true of the triangles include:
∆XYZ ~∆X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'The complete question is given below:-
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.
△XYZ ~ △X'Y'Z'AngleXZY ≅ AngleY'Z'X'YX ≅ Y'X'XZ = 2X'Z'mAngleYXZ = 2mAngleY'X'Z'What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
It should be noted that triangle XYZ is reflected over a vertical line. Then, it's dilated by 1/2 to form XYZ.
This implies that the triangles are similar, the angles are congruent and the side length of XYZ is twice that of X'Z.
Therefore the options that are true of the triangles include:
∆XYZ ~∆X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'Learn more about translation on:
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Find the equation of the line passing through the points -2x+1 (8,2)
The line that passes through (-2, 1) and (8, 2) is:
y = (1/10)*x + 12/10
How to find the equation of the line?I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).
A general linear equation is written as:
y = a*x + b
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we know that it passes through (-2, 1) and (8, 2), then:
[tex]a = \frac{2 - 1}{8 - (-2)} = 1/10[/tex]
Then the line is:
y = (1/10)*x + b
To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.
2 = (1/10)*8 + b
2 - 8/10 = b
20/10 - 8/10 = b
12/10 = b
Then the linear equation is:
y = (1/10)*x + 12/10
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A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
negative StartFraction 4 Over 3 EndFraction
negative StartFraction 3 Over 4 EndFraction
StartFraction 3 Over 4 EndFraction
StartFraction 4 Over 3 EndFraction
Answer:
-¾
Step-by-step explanation:
gradient = delta y over delta x
gradient = 0 - 3 / 5 - 1
gradient = -3 / 4
find the missing value. 2 + blank = -13
Answer:
-15
Step-by-step explanation:
-13-2= -15
(to check:2+ -15= -13)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2 + [blank] = -13}[/tex]
[tex]\large\textbf{CONVERT TO: }[/tex]
[tex]\mathsf{2 + b = -13}[/tex]
[tex]\mathsf{b + 2 = -13}[/tex]
[tex]\large\textbf{SUBTRACT 2 to BOTH SIDES: }[/tex]
[tex]\mathsf{b + 2 - 2 = -13 - 2}[/tex]
[tex]\large\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{b = -13 - 2}[/tex]
[tex]\mathsf{b = -15}[/tex]
[tex]\huge\text{Therefore, the mystery number is: \boxed{\mathsf{-15}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Quick I need an answer to this Queston:
The functions f(x)= −3/4x + 2 1/4 and g(x)= (1/2)x + 1 are shown in the graph.
What are the solutions to −3/4x + 2 1/4 = (1/2)x + 1?
Select each correct answer.
−1
0
1
2
3
Step-by-step explanation:
[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]
[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]
[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]
[tex] - 3x + 9 = 2x + 4[/tex]
[tex] - 3x - 2x = 4 - 9[/tex]
[tex] - 5x = - 5[/tex]
[tex]x = \frac{ - 5}{ - 5} [/tex]
[tex]x = 1[/tex]
The answer is C.
1. (08.01 MC)
The graph shows two lines. A and B
Answer:
Part A:
A pair of linear equations can only have one solution or infinitely many solutions. In this case, there would only be one solution as they intersection at only one point.
Part B:
The solution would be (3, 4) because it is the point of intersection between the two linear lines.
Find one-third of the sum 9 and 12.
Answer:
7
Step-by-step explanation:
9 plues 12 = 21
21 divide by 3
= 7
Answer:
7
Step-by-step explanation:
9 + 12 = 21
one third of 21 is the same as 21 divided by 3
so 21 divided by 3
= 7
so 7 is the answer
OR
9 divided by 3 = 3
12 divided by 3 = 4
3 + 4 = 7
9.
Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)
Answer:
1
Step-by-step explanation:
The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.
So, 2x + 2 = 4, meaning the answer is 1
PLEASE HELP TIMED!!!
Which of the following describes the growth rate of the exponential function in the graph below?
a) For each x increase of 1, the y increases by a common difference of 3.
b) For each x increase of 1, the y increases by a common factor of 3.
c) For each x increase of 1, the y increases by 4 more than the previous increase.
d) For each c increase of 2, the y increases by doubling and then adding one.
Answer:
B
Step-by-step explanation:
let me know if you want an explanation :))
The directrix and focus of a parabola are shown on the graph. Which is an equation for the parabola?
Helppp will give brainliest
Let x1 = 21, y1 = −15, and y2 = 9, and let y vary inversely as x. Find x2.
Answer:
The value of [tex]x_{2}[/tex] from inverse variation is (-35).
Step-by-step explanation:
Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.
An inverse variation can be represented by the equation
xy=k .
That is y varies inversely as x if there is some nonzero constant k.
Here, the product is given by :
x1y1=x2y2
21 x (-15)=x2 x 9
(-315) / 9 = x2
x2=(-35)
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Please help me with my math
Answer:
6.4
Step-by-step explanation:
It's stated that the shapes are similar.
We can use similarity ratio to find the value of x:
LM/CD = KL/BA
x/4 = (11.2)/7 cross multiply expressions
7x = 44.8 divide both sides by 7
x = 6.4
It takes two points to define a plane.
Answer:
In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.
Step-by-step explanation:
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in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born.
Answer:
xhdvuvzxvzvkkzv jzh jhj,
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!
a⃗ =<5, −1> and b⃗ =<2,−2>.
Represent a⃗ +b⃗ using the head-to-tail method.
Use the Vector tool to draw a⃗ and b⃗ , complete the head-to-tail method, and draw a⃗ +b⃗
To use the Vector tool, select the initial point and then the terminal point.
(please give picture of graph)
OC represents vector a and b drawn using the head-to-tail method.
What is a Vector ?A vector is an object that has both magnitude and direction.
The given vectors are
a =<5, −1> and b =<2,−2>
Representing vector a +b using the head and tail method
Here in the image attached with the answer ,
The vector a is represented by OA and the vector b is represented by OB
By head and tail method , the OC is drawn by extending the vector a towards b and b towards a
Vector OC = Vector OA + Vector OB
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how do you write 0.8 recurring as a fraction?
please can i have an explanation aswell :)
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.888.. (1) ← multiply both sides by 10
10x = 8.888.. (2)
subtract (1) from (2) thus eliminating the repeating digits
9x = 8 ( divide both sides by 9 )
x = [tex]\frac{8}{9}[/tex]
