Please help with all answers on this. And please explain how you got those answers!!!
8) The part shared by vector BC and vector CB is called the magnitude of the line segment.
9) (a) Another name for ∠C is ∠ACB.
(b) ∠ADF and ∠BDC are two angles with point D as the vertex.
(c) Another name for ∠1 is ∠FBD.
(d) Another name for ∠2 is ∠FDB.
8) There are two vectors : vector BC and vector CB.Both the vectors have the same magnitude, i.e., length, but opposite directions to each other.Hence, the vector BC and vector CB have a common magnitude, which is equal to the length of the line segment joining the points B and C.9) According to the given figure,a) The angle ∠C is formed using line segments CA and CB. So, another name for ∠C is ∠ACB.b) ∠ADF and ∠BDC are two angles with point D as the vertex.c) The angle ∠1 is formed using line segments BF and BD. So, another name for ∠1 is ∠FBD.d) The angle ∠2 is formed using line segments DF and DB. So, another name for ∠2 is ∠FDB.To learn more about angles, visit :
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You are solving a measurement problem where the numbers 4.514 x 10^−3, 3.09 x 10^7, and 2.80 x 10^3 are multiplied. How many significant digits should the product have?
The significant digits from the product of the values are 7
What are significant digits?It is important to note the following;
Non-zero digits are always significantZeros between two significant digits are also significantGiven the values;
4.514 x 10^−33.09 x 10^72.80 x 10^3Let's find the product
4.514 x 10^−3 × 3.09 x 10^7 × 2.80 x 10^3
39. 055128 × 10^-3 + 7 + 3
39. 055128 × 10^7
The significant digits are 7
Thus, the significant digits from the product of the values are 7
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Find the axis of symmetry of y=x^2
Answer:
Step-by-step explanation:
x^2 cannot be negative so the minimum value of x^2 is at (0.0)
When x = -1 y = 1 and when x = 1 y = 1
- and so on for all values of x
SO, y = x^2 is symmetrical about the y axis.
and the axis of symmetry is the y axis or we can write it as the line x = 0.
Solve for the value of t.
Answer: t =
(6t+6)°
(7t-7)⁰
Submit Answer
Step-by-step explanation:
t = 7°
Use angles on a straight line add up to 180°.
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Perimeter:
Área:
The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units
What is the area and Perimeter of the Triangle?
The formula for the area of a triangle ABC with 3 coordinates is;
Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|
The coordinates are;
(x₁, y₁) = (-6, 6)
(x₂, y₂) = (2, 3)
(x₃, y₃) = (-3, -2)
Thus;
Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|
Area (ΔABC) = (¹/₂)|-30 - 16 + 9|
Area (ΔABC) = ¹/₂ * |-35|
We are taking absolute value and so;
Area (ΔABC) = ¹/₂ * 35
Area (ΔABC) = 17.5 square units
To get the perimeter, we will use distance formula between two coordinates and we have;
AB = 8.544
BC = 7.071
AC = 8.544
Thus;
Perimeter = 2(8.544) + 7.071
Perimeter = 24.16 units
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Solve the equation. − 3 ( 3 − 4 x ) = 5 ( x − 1 ) + 7 ( x + 2 ) Show each step you used to solve the equation. Determine whether the equation has one solution, no solution, or infinitely many solutions. Explain your reasoning.
Answer:
0=18
Step-by-step explanation:
-3(3 - 4x) = 5(x - 1) + 7(x + 2)
-3( -4x + 3) = 5(x - 1) + 7(x + 2)
last one for this type of equation
Answer:
a.
t=11
A=210-14(11)
A=210-154
A=56
$56 left
b.
A=0
0=210-14t
14t=210
t=210/14
t=15
in 15 trips he'd be broke
In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=
Answer:
m<1 = 111 degrees, m<2 = 69 degrees
Step-by-step explanation:
The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:
x + 88 + 3x = 180
4x = 108
x=23 degrees
Next, substitute 23 into the given angles:
m<1 = (23 + 88) = 111 degrees
m<2 = 23 * 3 = 69 degrees
Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps
a concert manager counted 650 ticket receipts the day after a concert. the price for a student ticket was $11.50, and the price for an adult ticket was $13.00. the register confirms that $8,112.50 was taken in. how many student tickets and adult tickets were sold?
Based on the calculations, the number of student tickets and adult tickets that were sold are 225 tickets and 425 tickets respectively.
Given the following data:
Total ticket receipts = 650 tickets.
The price for a student ticket = $11.50.
The price for an adult ticket = $13.00.
Total revenue = $8,112.50.
Let T represent the total ticket.Let S represent price for a student ticket.Let A represent price for an adult ticket.Let R represent the total revenue.What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How many student tickets and adult tickets were sold?In order to determine the number of student tickets and adult tickets that were sold, we would translate the word problem into an algebraic expression as follows:
A + S = 650 ......equation 1.
11.5S + 13A = 8,112.50 ......equation 2.
From eqn. 1, we have:
S = 650 - A ......equation 3.
Substituting eqn. 3 into eqn. 2, we have:
11.5(650 - A) + 13A = 8,112.50
7,475 - 11.5 A + 13A = 8,112.50
1.5A = 8,112.50 - 7,475
1.5A = 637.5
A = 637.5/1.5
A = 425 tickets.
For the student tickets, we have:
S = 650 - A
S = 650 - 425
S = 225 tickets.
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4(8)÷2(3)-10
explain please
Answer: 38
Step-by-step explanation:
4*8 =32
32/2=16
16*3=48
48-10=38
Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Answer:
Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.
Using the function concept, it is found that relations b and c does not represent a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.
For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.
In item b, when x = 6, there are two values of y, hence this is also not a function.
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Here are two box plots:
95
95
100
100
105
box plot A
105
box plot B
110
110
115
115
1. Which box plot has a greater median? v
2. Which box plot has a greater measure of variability
Answer:
Box plot B
Step-by-step explanation:
Hope this helps
The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10
The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.
What is the equation of the resulting graph formed from the transformations as described in the task content?It follows from the task content that the equation of the transformed graph be determined.
First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.
Hence, the resulting equation is;
y = |-x + 4|-8
y = |4 -x|-8
Also, when the graph is translated 2 units down; we have;
y -2 = |4 -x|-8
y = |4 -x|-8 +2
y = |4 -x| -6
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An angle and a ray are drawn on a piece of paper, what is the maximum number of
points at which the two figures could intersect?
A. 0
B. 1
C. 2
D. 3
E. infinitely many
a rectangle has a width w and a length that is two more than its width. what is the perimeter of the rectangle? write and simplify an expression. a general expression for the perimeter is (select) . the simplified expression i
The perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.
In this question,
a rectangle has a width w
Let l be the length of the rectangle.
A length that is two more than its width.
⇒ l = 2 + w
We know that the perimeter of the rectangle is P = 2 × (length + width)
So, for the length l = 2 + w and width w, the perimeter of the rectangle would be,
P = 2 × (w + (2 + w))
We simplify above expression.
P = 2 × (2 + 2w)
P = 4 + 4w
Therefore, the perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.
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Make a table of ordered pairs for the equation.
y=12x−3
Answer:
slope:12
Step-by-step explanation:
I HOPE IT HELP YOU
0_<
Answer:
12
Step-by-step explanation
8 divided by $3.09 round to the nearest cent
Answer: $0.39
Step-by-step explanation:
3.09/8=
0.38625=
0.38625=$0.39
About how many times greater is the number
8.4493E13 than the number 7.994E-2 when
displayed on a calculator?
The number of times the number 8.4493E13 isgreater than the number 7.994E-2 when displayed on a calculator is 1.05696E15.
How do we use division to get the number times a number is greater than the other?8.4493E13 = 84,493,000,000,000
7.994E-2 = 0.07994
The number of times the number 8.4493E13 isgreater than the number 7.994E-2 can be obtained by dividing 8.4493E13 by 7.994E-2 as follows:
Number of times greater = 8.4493E13 / 7.994E-2 = 84,493,000,000,000 / 0.07994
Number of times greater = 1,056,955,216,412,310
When displayed on a calculator, we will have:
Number of times greater = 1.05696E15
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what number is equal to 4 hundreds 3 tens 7 ones and 19 thousandths
Answer:437.019
Step-by-step explanation:
If you add together
4 hundreds-400
3 tens-30
7 ones-7
19 thousandths-0.019
It equals 437.019
Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 1/2(bxh)
Answer: 60m
Step-by-step explanation: The formula is 1/2(bxh)
the base is 10m and the height is 12m.
1/2(10 x 12) =
1/2(120) = 60
Find the equation of the line shown below
Answer:
Below in bold.
Step-by-step explanation:
The slope = rise / run
= 5/10
= 1/2.
General form of the straight line is
y = mx + c where m = the slope and C is the y-intercept
Here m = 1/2. and c = 0
So, the answer is y = 1/2 x.
what is the slope intercept form of y=-3x+1
Answer:that is the slope intercept form
Step-by-step explanation: slope intercept form is y=mx+b
Find the quotient of The quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.. Write the final answer in scientific notation.
6 x 1048
6 x 1024
6 x 100
6 x 10−48
The quotient of the given problem using laws of exponents is; 6 * 10⁰
How to use the law of exponents?
We want to express the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.
This is;
(30 * 10⁻²⁴)/(5 * 10⁻²⁴)
Now, we can break this down into like terms to get;
(30/5) * (10⁻²⁴/10⁻²⁴)
= 6 * 1
Now, 1 can also be written as;
10⁰ = 1
Thus, the solution of the given problem is; 6 * 10⁰
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2 1/5 divided by 5/7
Answer: 3.08
Step-by-step explanation: hope this helps!!!!
Answer:
3.08 or 77/25
Step-by-step explanation:
I find answering this problem easiest if you use paper and Thats what I used
2 1/5/ 5/7 = 77/25= 3 2/25= 3.08
Spelled result in words is seventy-seven twenty-fifths (or three and two twenty-fifths).
Which axis is triangle ABC reflected across?
Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.
6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.
What is the translation ruleThe translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.
To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.
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Simplify 4G+ 16H - 8J = 32.
Select one:
O a. G + 4H-2J = 8
O b. G + 4H-2J = 32
O c.
2G+8H4J = 16
O d.
4G+ 2H-J = 4
O e. 12(G+ H-J) = 32
Find the distance between the two points (9,1), (-8,7)
Step-by-step explanation:
use distance formula for answer
Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet
Olivia purchases gifts for her mom and grandma for Mother's Day. The linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.
She spend $23.4 on the bracelet.Given that
Olivia purchases gifts for her mom and grandma for Mother’s Day.The linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.o find
How much did she spend on the bracelet?So, according to the question
We have
Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.So, we can say that
The amount of bracelet = Total amount spend by her - The amount of the pair of sunglassesNow, putting the all given values,
So, we get
= $(39.75 - 16.35)
The amount of bracelet = $ 23.4
She spend $ 23.4 on bracelet for Mother’s Day.
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Solve inequality.
-b/5 ≥ -6
To solve the inequality, multiply both sides by (-5). The solution is b ≤ 30 or (∞, 30]
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
-b/5 ≥ -6
Notice that the variable, b, is already isolated on the left side. Multiply both sides by (-5) and flip the sign of the inequality ( since we multiply it by a negative number):
-b/5 . (-5) ≤ -6 . (-5)
b ≤ 30
Using the interval notation, the solution is (∞, 30]
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What additional information is obtained from an ordinal scale compared to a nominal scale?
An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.
Types of Variables:Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.
An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.
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