Answers
360 - 90= 270
270/6 = 45
x = 45
B) Lines AD and BC are not parallel
lines as they will eventually meet.
Related Questions
Please help!!
Match each of the following expressions on the left with the terms on the right.
Answers
The expressions matched with their corresponding simplified expressions are
(5⁻⁹)⁴ → 1/5³⁶
5⁹/5⁴ → 5⁵
5⁴ × 5⁹ → 5¹³
(5⁴)⁹ → 5³⁶
5⁻⁹/5⁴ → 5⁻¹³
From the question, we are to match each of the given expressions on the left with the terms of the right
First, we will simplify each of the expressions
(5⁻⁹)⁴Multiplying the exponents
5⁻⁹ˣ⁴
= 5⁻³⁶
= 1/5³⁶
5⁹/5⁴Applying the division law of indices
5⁹/5⁴ = 5⁹⁻⁴
= 5⁵
5⁴ × 5⁹Applying the multiplication law of exponents
5⁴ × 5⁹ = 5⁴⁺⁹
= 5¹³
(5⁴)⁹Multiplying the exponents
5⁴ˣ⁹
= 5³⁶
5⁻⁹/5⁴Applying the division law of indices,
5⁻⁹⁻⁴
= 5⁻¹³
Hence, the expressions matched with their corresponding simplified expressions is
(5⁻⁹)⁴ → 1/5³⁶
5⁹/5⁴ → 5⁵
5⁴ × 5⁹ → 5¹³
(5⁴)⁹ → 5³⁶
5⁻⁹/5⁴ → 5⁻¹³
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the coordinates for triangle klm are given in the table.Eric plans to translate the triangle 9 units right and 9 units down.
Answers
Using translation concepts, the rule for each vertex of the triangle after the translation 9 units right and 9 units down is given by:
(x,y) -> (x + 9, y - 9).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the transformations on the triangle are given as follows:
9 units right, hence x -> x + 9.9 units down, hence y -> y - 9.Thus the rule for each vertex of the triangle after the translation 9 units right and 9 units down is given by:
(x,y) -> (x + 9, y - 9).
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A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
(A) From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
(B) From starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
(C) From a starting position of 3 meters below sea level, the fish is descending 7 meters per second
(D) From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answers
Answer:
C
Step-by-step explanation:
at starting time x = 0 the fish is at -3 meters
for each second the fish goes another -7 meters
1. Refer to g(t) = t² - 8t + 15. (a) Graph the function g on the domain -6 ≤ t ≤ 6. Be sure to label the vertex and any intercept(s).
Answers
The vertex of the function is a = 1 , b = -8 and c = 15
The intercept of the function is 15
The equation is given as
g(t) = t² - 8t + 15
The graph can be plotted with the given function,which gives us the parabolic graph and lets us keep the domain as
-6 ≤ t ≤ 6
The graph of this equation is attached.
Vertex and InterceptsThe vertex of the function can be found by comparing it with the parabolic equation.
at² + bt + c = 0
t² - 8t + 15 = g(t)
Therefore, the vertex of the function is
a = 1 , b = -8 and c = 15
The intercept can be found by taking t=0 , we get
g(0) = 0² - 8(0) + 15
Therefore, the intercept of the function is 15
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How to combine and make them terms10x-3x+6
Answers
Answer:
[tex]7x + 6[/tex]
Step-by-step explanation:
We can combine all terms that share the same variable.
For example, we can combine [tex]3x + 5x[/tex], which is 8x, however, we cannot combine [tex]3x + 4t[/tex], as 3x and 4t are terms with different variables. The latter applies to combining terms that include variables and terms that do not - You cannot combine them.
The trick to combining terms with common variables is to combine them like you'd combine any pair of regular numbers.
Just like [tex]6 + 3 = 9[/tex], then [tex]6x + 3x = 9x[/tex].
Just like [tex]6 - 3 = 3[/tex], then [tex]6x - 3x = 3x[/tex].
This is done through a process known as factorizing, however, I believe you will learn this later if you are just now studying combining terms with variables.
Onto your question, we can combine 10x and -3x together, however, we cannot combine either of those terms with 6.
[tex]10x - 3x + 6 \to 7x + 6[/tex]
what is equivalent to y^-4/3
Answers
The answer is C.....................
what times 15 will get us close to 45 tenths without going over
Answers
3 times 15 will get us close to 45 tenths without going over
x=3
This is further explained below.
What is an equation?Generally, In the field of mathematics, a formula is referred to as an equation when it is used to represent the equivalence of two expressions by connecting them with the equals sign (=). In other terms, an equation is an expression that is used in mathematics.
In conclusion, The equation for the word problem is given as
x*15 ≡45
Therefore
x ≡45/15
x=3
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How many groups of 9/5 fraction are in 1?
_____ groups
2.evaluate.
6 divided by 9/5 fraction = ___
Answers
There are 5/9 groups in 1
6 divided by 9/5 is 3 1/3.
What are the solutions?An improper fraction is a non integer where the numerator is greater than the denominator. An example is 9/5.
In order to determine the the number of groups of 9/5 that are in 1, divide 1 by 9/5
1 ÷ 9/5
1 × 5/9
9/9 × 5/9 = 5/9
6 ÷ 9/5
6 × 5/9 = 10 / 3 = 3 1/3
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Please help with finding the slope of the grpahed line
Answers
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
To find the slope on a graph, the easiest way is to use the "rise-over-run method."
First, from the leftmost point, count how many points it takes to get to the same y-coordinate as the point.(only count UP and DOWN. If you have to go up to reach the point, the numerator is positive. Otherwise it is negative) Next, figure out how many points it takes to get to the same x-coordinate starting from where you counted up from, therefore landing on the rightmost point. (only count LEFT and RIGHT. If you have to go right to reach the point, the denominator is positive. Otherwise it is negative)
In this graph, we go up 5 and right 4. Therefore the answer is [tex]\frac{5}{4}[/tex].
(I like starting on the leftmost point first and then doing rise-over-run. You don't necessarily have to but remember, if both the numerator and denominator are negative, then the fraction is positive)
Answer:
slope: [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Slope Formula: [tex]\frac{rise}{run}[/tex]
Get a line from which you want to know the slope. Make sure that the line is straight. You can't find the slope of a line that isn't straight.Pick any two coordinates that the line goes through. Coordinates are the x and y points written as (x, y). It doesn't matter which points you pick, as long as they're different points on the same line. Pick which point's coordinates are dominant in your equation. It doesn't matter which one you pick, as long as it stays the same throughout the calculation. The dominant coordinates will be x1 and y1. The other coordinates will be x2 and y2. Set up the equation using the y-coordinates on top and the x-coordinates on bottomSubtract the two y-coordinates from one another.Subtract the two x-coordinates from one another.Divide the y-coordinate's result with the x-coordinate's result. Reduce the number if at all possible.tip:
Lines that go up from left to right are always positive numbers, even if they're fractions.Lines that go down from left to right are always negative numbers, even if they're fractions.EASIER WAY to find the slope: From the bottom dot (-1,-1) count up until you reach the line where the other dot (3,4) so this would be 5 (the RISE)
then count ACROSS (run) it until you reach the dot. This would be 4.
Answer: 5/4 is the slope of the line.
video explanation: https://youtu.be/sOnIGoPC4y4
please help me i’ll give you brain list
Answers
0.282
3/4
85%
√3
You can use calculator to write all of them by point then list them
Answer:
i) -2.5
ii) 3/4 - 0.250
iii) 0.282
iv) 85% - 0.850
v) [tex]\sqrt{3\\[/tex] - 1.7320
Which equation represents a graph with a vertex at (–3, 2)?
y = 4x2 + 24x + 38
y = 4x2 – 24x + 38
y = 4x2 + 12x + 2
y = 4x2 + 16x + 13
Answers
[tex] \large \bf \implies \: \boxed{ \tt{y = {4x}^{2} + 24x + 38}}[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow \: x = - \frac{24}{2 \times 4} = - 3 \\ \\ \bf \longrightarrow \: y = \frac{4 \times 4 \times 38 - {24}^{2} }{4 \times 4} = 2 \\ \\ \\ \bf \longrightarrow \: y = {4x}^{2} + 24x + 38[/tex]
Help me with this please
Answers
The proposed skyscraper is 172.8 m tall
Scale drawingFrom the question, we are to determine the how tall the proposed skyscraper is in meters
From the given information,
The scale of the model is
1 in : 7.2 m
and
The model is 2 ft tall
First, convert 2 ft to inches
NOTE: 1 foot = 12 inches
∴ 2 feet = 2 × 12 inches
= 24 inches
Now,
If 1 inch represents 7.2 m
Then,
24 inches will represent 24 × 7.2 m
24 × 7.2 m = 172.8 m
Hence, the proposed skyscraper is 172.8 m tall
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Paulette had two books. One of the books weighed 7/8 pound and the other book weighed 2/3 pound. If both books were put on the scale, how much will they weigh together?
A.9/11 pound
B. 37/24= 1 13/24
C. 31/24 = 1 7/24
D. 31/12= 2 7/12
Answers
The weight of both books when put on the scale together is [tex]\frac{37}{24}=1\frac{13}{24}[/tex].
The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
Let the weight of the two books Paulette had be x and y.
The weight of one of the books is x = 7/8 pounds.
The weight of the other book is y = 2/3 pound.
If the books are put on the scale then the total weight of the books will be:
[tex]x+y=\frac{7}{8}+\frac{2}{3}[/tex]
The least common multiple or LCM of 8 and 3 is 24.
[tex]x+y=\frac{21+16}{24}[/tex]
[tex]x+y=\frac{37}{24}[/tex]
The correct option is (B) [tex]\frac{37}{24}=1\frac{13}{24}[/tex].
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On the probability scale below, which cross (X) shows the probability that the spinner will land on Yellow?
The number of the cross should be your answer. No spam, please.
Answers
Answer:
A) 0.
Step-by-step explanation:
There is no yellow on the plane, therefore, the probability that the spinner would land on a nonexistent part of the plane is 0.
2 ( x + 7 ) + 3 ( x + 1 )
Answers
Answer:
The answer is 5x+17
Answer:
X = 7
Step-by-step explanation:
2(x+7) +3(x+7)
2x + 14 + 3x + 21
2x +3x +14 +21
5x ÷5 + 35 ÷5
x. = 7
Help Please!
-2/5x-1 1/4
Answers
Answer:
1
-------
2
Step-by-step explanation:
2 1
- ------- × - 1 -------
5 4
2 5
- ------- × - -------
5 4
2(4) 5(5)
- ------- × - -------
5(4) 4(5)
8 25
- ------- × - -------
20 20
--------------------------------------------------------------
(-8) × (-25) = 200
20 × 20 = 400
---------------------------------------------------------------
200 ÷ 200
-------
400 ÷ 200
1
-------
2
I hope this helps!
f (x) = x^2 + 1 g (x) = 5 - x ( f + g)(x) =
Answers
The value of (f + g)(x) can be find out by adding both given functions f(x) and g(x) and its value will be x² - x + 6.
What is function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
The given functions are :
f(x) = x² + 1
g(x) = 5 - x
We now have to find the value of (f + g)(x).
We know that the value of (f + g)(x) can be calculated by simply adding the values of both given functions which are f(x) and g(x).
So ,
(f + g)(x) = f(x) + g(x)
Now , let's substitute the values of both functions f(x) and g(x) into the above equation , so we will get :
(f + g)(x) = (x² + 1 ) + (5 - x)
Rearranging and solving the terms we get the value of (f + g)(x) as :
(f + g)(x) = x² - x + 6
Therefore , the value of (f + g)(x) can be find out by adding both given functions f(x) and g(x) and its value will be x² - x + 6.
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Maria has 6 1/4 yards of hair ribbon and she needs 5/8 of a yard to make a fanc
masks for her friends. How many can she make?
Answers
Answer:
10 masks
Step-by-step explanation:
divide 6 1/4 yards by 5/8 yards
change 6 1/4 to an improper fraction - 25/4
25/4 ÷ 5/8
to divide fractions, find reciprocal of divisor
25/4 * 8/5
=10
so 10 masks
The circumference of a circle is 17π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answers
The area of the circle, in terms of pi is calculated as: 72.25π in.²
What is the Circumference and Area of a Circle?The circumference/perimeter of a circle = 2πr
The area of a circle = πr², where the radius of the circle is represented as "r".
Given the following:
The circumference of the circle = 17π inches.
Therefore:
17π = 2πr [circumference formula]
Divide both sides by 2π to find r (radius of the circle)
17π/2π = 2πr/2π
17/2 = r
r = 17/2 or 8.5 inches
Area of the circle = πr² = π(17/2)²
Area of the circle = πr² = π(8.5)²
Area of the circle = πr² = 72.25π square inches.
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If q I s the number of quarts of lemonade, then 1/4 quarts can be used the number of cups of lemonade mix. How much mix is needed to make the needed amount of lemonade?
2 quarts 8 quarts 12 quarts 18 quarts
Answers
Answer: q I made 2 quarts of lemonade using 1/4 quarts is x = 1/8 lemonade
q I made 8 quarts of lemonade using 1/4 quarts is x = 1/32 lemonade
q I made 12 quarts of lemonade using 1/4 quarts is x = 1/48 lemonade
q I made 18 quarts of lemonade using 1/4 quarts is x = 1/72 lemonade
Step-by-step explanation:
Given data,
If q I s the number of quarts of lemonade, then 1/4 quarts can be used the number of cups of lemonade mix.
we know that, first we can use 2 quarts,
Then,
q I made 2 quarts of lemonade using 1/4 quarts
so,
using proportion
Find out the amount of sugar needed to make 1 quart of lemonade
Let,
x ----> the amount of lemonade
[2/(1/4)] lemonade/quarts of lemonade = (1/x)(quarts lemonade/quarts of lemonade)
[2/(1/4)] = 1/x
8/1 = 1/x
x = 1/8 lemonade
q I made 8 quarts of lemonade using 1/4 quarts
so, we can write,
[8/(1/4)] = 1/x
32/1 = 1/x
x = 1/32
q I made 12 quarts of lemonade using 1/4 quarts
so, we can write,
[12/(1/4)] = 1/x
48/1 = 1/x
x = 1/48
q I made 18 quarts of lemonade using 1/4 quarts
so, we can write,
[18/(1/4)] = 1/x
72 /1 = 1/x
x = 1/72
q I made 2 quarts of lemonade using 1/4 quarts is x = 1/8 lemonade
q I made 8 quarts of lemonade using 1/4 quarts is x = 1/32 lemonade
q I made 12 quarts of lemonade using 1/4 quarts is x = 1/48 lemonade
q I made 18 quarts of lemonade using 1/4 quarts is x = 1/72 lemonade
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What is the answer to this problem?
Answers
Answer:
2
Step-by-step explanation:
PRT = I = 2700
P = 27,000
R = 0.05
Find T
2700 = 27000 x 0.05 x T
T = 2700/ ( 27000 × 0.05 ) = 2 years
John has 15 apples, he gives his 3 friends a equal amount of apples, how many apples does each friend get?
Answers
You can calculate this by doing the fifteen apples divided by the number of people
15/3=5
What is the complete factorization of 6x²+x-15?
Answers
Answer:
I think (2x−3)(3x+5)
Evaluate y - x when x = -3/8 and y = 7/12.
Answers
-3/8 - 7/12 =
First we need to get the denominators same.
(-3 x 3/8 x3) - (7 x 2/12 x 2) =
-9/24 - 14/24 =
-9 - 14/24 =
-23/24
Answer = -23/24
Answer:
5/24
Step-by-step explanation:
y-x y is 7/12 so its positive x is -3/8 so its negative the answer is 5/24
In your job as a metalworker you need to cut 2 peices from a sheet of steel that is 13 1/4 in long after u cut one peice measuring 2 3/4 in and another measuring 31/4 in. How many in of steel you got left
Answers
11/4 or 2.75 part is remaining out of 13 ¼
Total sheet of steel will be 13 ¼
So dividing the whole sheet into 3 parts : let one piece be x and other be y and the remaining be z
as per the question x=2 3/4 and y amounts to = 31/4
so we need to find z
x + y + z= 13 1/4 (equation 1)
substituting the value of x= 2 3/4 and y = 31/4 in equation 1
2 3/4 + 31/4 + z= 13 1/4
converting mixed fraction into improper fraction
11/4 + 31/4 + z =53/4
z =53/4 -(11/4 + 31/4)
z = 11/4
hence z= 11/4
Therefore, out of 13 ¼, 11/4 or 2.75 part remains
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Would you ate 1/4 of a birthday cake and
your friend ate 1/2 how much of the cake
would be left.
Answers
Answer:
1/4
Step-by-step explanation:
Convert fractions to decimals
[tex]1-0.25-1/2\\1-0.25-0.5\\[/tex]
Add/Subtract
[tex]1-0.25-0.5\\= 0.75-0.5\\= 0.25\\= \frac{1}{4}[/tex]
ILL GIVE BRAINLY AND 10 POINTS PLEASE HURRY
Answers
Answer:
The third option.
The others are being multiplied by a negative, which a negative times a negative is a positive, but the third is 3 negatives and 1 positive so it is positive.
Step-by-step explanation:
Hope it helps! =D
-3 . 4 (-2)(-7)
-12(-2)(-7)
24(-7)
-168
Write a statement using ratio language that could describe a part to part ratio of 7:10
Answers
If there are 7 red balls and 10 black balls in a bag, then we can say that red and black balls are present in the bag in ratio 7: 10
What is Ratio?Ratio is a relationship between two or more values. a units per b units.
a/b or a:b .
A part to part ratio of 7:10 can be written in the form of example given below:
If there are 7 red balls and 10 black balls in a bag, then we can say that red and black balls are present in the bag in ratio 7:10
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Select the correct answer. Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 13? A. It is the graph of y = x translated 13 units to the left. B. It is the graph of y = x where the slope is decreased by 13. C. It is the graph of y = x translated 13 units to the right. D. It is the graph of y = x translated 13 units up.
Answers
The correct statement for y = x - 13 is C. It is the graph of y = x translated 13 units to the right to the parent function y = x.
What is a function?A function can be thought of as output for the given or specified set of inputs.
Given a parent function y = x and it is a linear function and also reflexive.
The function y = x - 13 implies
x - 13 = 0 or x = 13.
∴ The graph of the function y = x - 13 will shift to the right along the x-axis by 13 units to the right. This is also known as translation.
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Answer:The correct statement for y = x - 13 is C. It is the graph of y = x translated 13 units to the right to the parent function y = x.
Step-by-step explanation:
What is a function?
A function can be thought of as output for the given or specified set of inputs.
Given a parent function y = x and it is a linear function and also reflexive.
The function y = x - 13 implies
x - 13 = 0 or x = 13.
∴ The graph of the function y = x - 13 will shift to the right along the x-axis by 13 units to the right. This is also known as translation.
How many solutions does this have? 4x + 12 = -2x + 16
Answers
The equation 4x + 12 = -2x + 16 is one solution.
What is equation?A statement of equality between two expressions consisting of variables and/or numbers.
Given:
4x + 12 = -2x + 16
Now solving for x
4x + 2x = 16 - 12
6x = 4
x= 4/6
x=2/3
Hence, the equation 4x + 12 = -2x + 16 has one solution.
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