Answer :
9x² - 16 y²
★ Firstly, we'll break down 9 and 16 -
Here,
9 is square of 316 is square of 4→ (3x)² - (4y)²
→ (3x - 4y) (3x + 4y)
Therefore, the factor of 9x² - 16y² is (3x - 4y) (3x + 4y).
Can someone help me on trying to understand on how so you find the values of x, y. and z on this parallelogram?
It has to sum up to 360 degrees and each adjacent angles need the of 180 correct?
Answer:
x=40°, y=43°, and z=97°
Step-by-step explanation:
D=B, so both are 97
360-97-97=166
166÷2=83
y is alternate interior to 43, so y is also 43
83-43=40
So x=40, y=43, and z=97
Solve and find the value of X : a=6,b=4,c=4,y=7,z=1x=a−b×y+(y+z)ca+b×y [enter your answer with 3 decimals]
The value of x is approximately 11.167.
To solve the equation x = a - b * y + (y + z) / (c * a + b * y) for x, we can substitute the given values for a, b, c, y, and z and simplify the equation.
Given:
a = 6, b = 4, c = 4, y = 7, z = 1
Substitute the values into the equation:
x = 6 - 4 * 7 + (7 + 1) / (4 * 6 + 4 * 7)
Simplify the equation using the order of operations (PEMDAS):
x = 6 - 28 + 8 / (24 + 28)
x = 6 - 28 + 8 / 52
x = 6 - 28 + 0.154
Combine like terms:
x = -22 + 0.154
Evaluate the expression:
x = -21.846
Therefore, the value of x is approximately -21.846 (rounded to three decimal places).
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what is the scale factor
Answer:
1/3
Step-by-step explanation:
Answer:
D. [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
If you multiply 27, 21 and 36 by [tex]\frac{1}{3}[/tex], you'll get the same answers as the smaller triangle
How do I find the angle of something
Ok, so think of a house. The sides and the floor meet up and forms a right angle, at 90 degrees. Now think about the gaps in a protractor (the piece of plastic that measures angles). The gaps corner is an acute angle, about 75 degrees.
To find the angle of something, you need to look at were the objects corners are, and if needed, use a device to measure the angle.
An international data plan charges $10.00
for 4GB of data. Anything over 4GB is priced
at $2.50 per GB. Which equation can be used
to find y, the total cost of the international
plan, if x represents the number of GB over
4?
Answer:
y = 2.50x + 10
Step-by-step explanation:
Answer:
y = 2.50x + 10
Identify the solutions and any extraneous solutions of the
following equations. (1 point each) 15. V2x + 5 = v3x - 1 16. V5x
-4-6 =0
15. The solution to the equation √(2x + 5) = √(3x - 1) is x = 4.
16. The solution to the equation √(5x - 4) - 6 = 0 is x = 10.
15. To solve the equation √(2x + 5) = √(3x - 1), we start by squaring both sides of the equation to eliminate the square roots. This gives us 2x + 5 = 3x - 1. Simplifying further, we get x = 6. However, we need to check for extraneous solutions. Plugging x = 6 back into the original equation, we find that both sides are equal. Thus, the solution is x = 4.
16. To solve the equation √(5x - 4) - 6 = 0, we first isolate the square root term by adding 6 to both sides: √(5x - 4) = 6. Squaring both sides, we get 5x - 4 = 36. Solving for x, we find x = 8. However, we need to check for extraneous solutions. Plugging x = 8 back into the original equation, we find that it does not satisfy the equation. Therefore, there are no valid solutions.
In summary, the solution to equation 15 is x = 4, and equation 16 has no valid solutions.
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I need help with writing a function in vertex form
Identify the square root of the following. *
√196
Answer:
14
Step-by-step explanation:
Answer:
14 U could have just look that up
Step-by-step explanation:
Sarah and Henry share some sweets in the ratio 5:6
Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2 .
how many sweets did Henry have ?
Let Sarah have "M" number of sweets and Henry have "N" number of sweets.
• Sarah and Henry share some sweets in the ratio 5:6.
According to question,
\Rightarrow\:\dfrac{M}{N}\:=\:\dfrac{5}{6}⇒
N
M
=
6
5
______ (eq 1)
\Rightarrow\:M\:=\:\dfrac{5N}{6}⇒M=
6
5N
_____ (eq 2)
• Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2.
According to question,
\Rightarrow\:\dfrac{M\:-\:16}{N}\:=\:\dfrac{1}{2}⇒
N
M−16
=
2
1
Cross multiply them
\Rightarrow\:2(M\:-\:16)\:=\:1(N)⇒2(M−16)=1(N)
\Rightarrow\:2M\:-\:30\:=\:N⇒2M−30=N
\Rightarrow\:2 \bigg(\dfrac{5M}{6} \bigg)\:-\:30\:=\:N⇒2(
6
5M
)−30=N
\Rightarrow\:\dfrac{5M}{3}\:-\:30\:=\:N⇒
3
5M
−30=N
\Rightarrow\:\dfrac{5M\:-\:90}{3}\:=\:N⇒
3
5M−90
=N
\Rightarrow\:5M\:-\:90\:=\:3N⇒5M−90=3N
\Rightarrow\:5M\:-\:3M\:=\:90⇒5M−3M=90
\Rightarrow\:2M\:=\:90⇒2M=90
\Rightarrow\:M\:=\:45⇒M=45
Put value of M in (eq 2)
\Rightarrow\:45\:=\:\dfrac{5N}{6}⇒45=
6
5N
Cross multiply them
\Rightarrow\:45(6)\:=\:5N⇒45(6)=5N
\Rightarrow\:270\:=\:5N⇒270=5N
\Rightarrow\:N\:=\:54⇒N=54
Henry have 54 sweets.
☆ Verification :
From above calculations we have M = 45 and N = 54
Put value of M and N in (eq 1)
\Rightarrow\:\dfrac{45}{54}\:=\:\dfrac{5}{6}⇒
54
45
=
6
5
\Rightarrow\:\dfrac{5}{6}\:=\:\dfrac{5}{6}⇒
6
5
=
6
5
Answers: 6/5 is the answere
Select the correct answer from each drop-down menu.
AABC has vertices at A(11,6), B(5, 6), and C15, 17).
AXYZ has vertices at X(-10,5), Y-12, -2), and 2-4,
15).
AMNO has vertices at M-9,-4), M(-3,-4), and 0-3, -15).
A/KL has vertices at (17, -2), K112,-2), and L(12,7).
APQR has vertices at A12, 3), 0112,-2), and R(3,-2).
can be shown to be
_______congruent by a sequence of reflections and translations.
________can be shown to be congruent by a single rotation.
Answer: B: triangle ABC and triangle MNO
the second one is C: triangle JLK and triangle PQR
Step-by-step explanation: Plato
AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.
What are vertices?A vertex (plural: vertices) is a point in geometry where two or more straight lines intersect.
Vertices are typically the corners or points where the curve changes direction in two-dimensional shapes such as triangles, rectangles, and circles.
Vertices are the points where the edges of three-dimensional shapes such as cubes, pyramids, and spheres meet. Vertices is the plural of vertex.
AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.
AXYZ can be shown to be congruent by a single rotation.
KL and APQR cannot be shown to be congruent by either a sequence of reflections and translations or a single rotation.
Thus, this can be the answer for the given scenario.
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James earns $450 per week. His boss gives him a raise of $30 per week. How much more will James earn per year at his new salary?
Answer:
24960 dollars per year
Step-by-step explanation:
(450 + 30) x 52 ( weeks in a year)
Answer:
Step-by-step explanation:
1. $450+$30 = $480
2. $480 x 50(weeks) = $24,000
Convert 18 1/2 into a improper fraction
Answer: 37/2
Step-by-step explanation:
Answer:
37/2
Step-by-step explanation:
18×2+1
=37
View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we
Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.
To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.
To achieve a reduction of 5 weeks, we can consider several strategies:
1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.
2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.
3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.
4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.
It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.
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the options for the first one. A.4 B.-4 C.0 D.both -4 and 4
the options for the second one. A.3 B.-2 C.2 D.both 2 and -2
the options for the second third. A. x - intercepts B.Zeros of the function C.Roots of the functions D.All of above
Answer: 15) D 16) D 17) D
Step-by-step explanation:
15) option D
when y = 2, x = -4 and x = +4
16) option D
when y = 0, x = -2 and x = +2
17) option D
when y=0, the x-values are the zeros.
The points are on the x-axis so are the x-intercepts.
The x-values can be found using the Quadratic Formula, which are also called the roots.
anyone know how to do this one?
Answer:
zero
Step-by-step explanation:
There is no change in slope so it's zero
hope this helps!
From 1988 to 2009, the number B of federally insured banks could be approximated by B ( t ) = − 324 t + 13732 where t is the year and t=0 corresponds to 1988.
Find the slope of the graph of B. ______
Interpret this slope as a rate of change. Choose the correct answer below.
a. The number of banks increased by -324 banks per year
b. The number of banks decreased by 13732 banks per year
c. The number of banks decreased by 324 banks per year
d. The number of banks increased by 13732 banks per year
e. The number of banks increased by 324 banks per year
f. The number of banks decreased by -324 banks per year
Find the y-intercept of the graph of B. The y-intercept is _______
Interpret the y-intercept. Choose the correct answer below.
a. The y-intercept is the maximum number of banks allowed in the country
b. The y-intercept is the minimum number of banks allowed in the country
c. The y-intercept is the number of banks in 1988
d. The y-intercept is the number of banks in 1993
e. The y-intercept is the number of banks in 2009
The given equation for B(t) is B(t) = -324t + 13732, where t represents the year.
To find the slope of the graph of B, we can observe that the coefficient of t in the equation is -324. Therefore, the slope of the graph is -324.
Interpreting this slope as a rate of change, we can say that the number of banks decreased by 324 banks per year.
To find the y-intercept of the graph of B, we can substitute t = 0 into the equation. B(0) = -324(0) + 13732 = 13732. So, the y-intercept is 13732.
Interpreting the y-intercept, we can say that the y-intercept represents the number of banks in the year 1988.
Therefore, the answers are:
The slope of the graph of B is e. The number of banks increased by 324 banks per year.
The y-intercept of the graph of B is c. The y-intercept is the number of banks in 1988.
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8 divided by 2 1/3 in fraction form
Answer:
24/7
hope this helps you
14 is the square root of what number
√14 = 3.74165738677
Explanation:
√14
Prime factor 14 =√2×7
Both 2 and 7
are prime numbers.
√14
is already simplified.
Using a calculator,
√14 = 3.74165738677
Find the optimal solution to this linear
programming problem.
Min 3X + 3Y
s.t. 12X + 4Y
≥
84
10X + 5Y
≥
80
4X + 8Y
≥
44
X, Y ≥ 0
(X, Y) =
To find the optimal solution to the given linear programming problem, we need to solve the system of inequalities and determine the values of X and Y that minimize the objective function 3X + 3Y, while satisfying the constraints. The constraints of the problem are:
1) 12X + 4Y ≥ 84
2) 10X + 5Y ≥ 80
3) 4X + 8Y ≥ 44
4) X, Y ≥ 0 To solve the problem graphically, we can plot the feasible region determined by the intersection of the three constraint lines and the non-negativity constraints. However, without the inequality signs (≥, ≤) for the first three constraints, it is not possible to determine the feasible region and find the optimal solution. If you provide the correct inequality signs for the constraints (≥ or ≤), I would be able to assist you in finding the optimal solution by either graphical or algebraic methods.
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Jackson studied for 1 9/10 hours on Tuesday and 3 1/2 hours on Thursday. How much longer did he study on Thursday than on Tuesday?
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Answer:
4(x + 3) + 2x and 6(x + 2) are equivalent
Step-by-step explanation:
The best prove why two expressions must be equivalent is,
1. Simplify each expression to its simplest form
2. Show that the simplest form of them are equal
Let us do that with the given expressions
∵ The 1st expression is 4(x + 3) + 2x
→ At first, multiply the bracket (x + 3) by 4
∵ 4(x + 3) = 4(x) + 4(3) = 4x + 12
∴ The 1st expression = 4x + 12 + 2x
→ Add the like terms
∴ 4x + 12 + 2x = (4x + 2x) + 12 = 6x + 12
∴ The 1st expression = 6x + 12
∴ The simplest form of the 1st expression is 6x + 12
∵ The 2nd expression is 6(x + 2)
→ Multiply the bracket (x + 2) by 6
∵ 6(x + 2) = 6(x) + 6(2) = 6x + 12
∴ The 2nd expression = 6x + 12
∴ The simplest form of the 2nd expression is 6x + 12
∵ 6x + 12 = 6x + 12
∴ The simplest form of the two expressions are equal
∴ The expressions are equivalent
∴ 4(x + 3) + 2x and 6(x + 2) are equivalent
A traffic officer is monitoring traffic on a windy section of road that has a speed limit of 55 miles per hour. A car speeds past the officer and the radar gun indicates the car is traveling 68 miles per hour. How far will the speeding car travel in one minute?
Answer:
The relative speed of the passing car is 13 miles per hour.
Step-by-step explanation:
[tex]v = \frac{x}{t} \\ v = 13 \frac{mile}{hours} \\ t = 1 \: min \: = \frac{1}{60} \: hours \\ 13 = \frac{x}{ \frac{1}{60} } \\ 13 = \frac{60 \: x}{1} \\ x = \frac{13}{60} miles \: \\ and \: we \: are \: done.[/tex]
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️.
What is the slope of the line?
A) -3
B) 1/3
C) 3
D) -1/3
Answer:
-3
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -3 -6)/(5-2)
= -9/3
-3
Answer: m = -3
Step-by-step explanation: To get from (2, 3) to to (5, -3), we must
first go down 9 units so our rise is -9 and run 3 units to the right.
So our slope or rise over run is -9/3 or -3.
The variable that's used to represent slope is m.
So here, we would say that m = -3.
classify this triangle.
Hello!
- it is rectangular: it has a right angle
- but it is also isosceles: it has two equal sides starting from the right angle
so this triangle is an iscoceles right triangle
How do you know if a relation is a function?
Answer:
Identify the input values.
Identify the output values.
If each input value leads to only one output value, classify the relationship as a function.
outputs may repeat but inputs may not if they go to different numbers
Step-by-step explanation:
Based on the graph below, what is f(-1)?
4
0
1
-4
Answer:
-4
Step-by-step explanation:
The term f(-1) means function of -1. f(x) means the same thing as y. To find f(x) given a linear graph, just put your finger on x=-1, and trace your finger up or down until you reach the line. See what y-value it has (count the boxes from the origin).
Based on the graph Given The value of the function at x = -1 is 0.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
given a graph of the linear equation
if we consider each block a unit block then we can say that y-intercept of the line is -1.
As there are not enough data to calculate the Equation of the line
But we can say from the graph the value of the function at x equals -1.
Therefore, The value of Function f(-1) is 0.
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Accurate heuristics don't necessarily reduce search time in the worst case. Given any depth d, define a search problem with a goal node at depth d, and write heuristic function such that |h(n)−h*(n)|≤O(log h*(n)) but A∗ expands all nodes of depth less than d.
By constructing such a search problem and using the provided heuristic function, we can ensure that |h(n) - h*(n)| ≤ O(log h*(n)) while A* expands all nodes of depth less than d in the worst case.
To construct a search problem that satisfies the given conditions, we need to ensure that the heuristic function is accurate but doesn't reduce the search time in the worst case. Here's an example:
Define a search problem:
The state space consists of nodes at different depths.
Each node has multiple successor nodes leading to deeper levels.
There is a goal node at depth d.
Heuristic function:
Let's define the heuristic function h(n) as follows:
For nodes at depth less than d, h(n) = d - depth(n).
For the goal node at depth d, h*(n) = 0.
Let's analyze this example:
Accuracy: The heuristic function h(n) is accurate because it assigns a value of zero to the goal node and decreases linearly with the depth of non-goal nodes. This means that |h(n) - h*(n)| will always be equal to h(n) for any node n.
Time complexity: The heuristic function doesn't reduce the search time in the worst case. A* algorithm expands nodes based on their f(n) values, where f(n) = g(n) + h(n). In this case, g(n) represents the cost of reaching node n, and h(n) is our heuristic function. Since the heuristic function h(n) increases linearly with the depth of non-goal nodes, the total f(n) value also increases with depth. Therefore, all nodes of depth less than d will be expanded before reaching the goal node at depth d.
In summary, by constructing such a search problem and using the provided heuristic function, we can ensure that |h(n) - h*(n)| ≤ O(log h*(n)) while A* expands all nodes of depth less than d in the worst case.
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In algebra how do i convert y-7=-2/3(x+1) into standard form and what would it be?
Answer:
C
Step-by-step explanation:
Where, if at all possible,
A
,
B
, and
C
are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
Simplify √-48
Please help
Answer:
[tex]4\sqrt{3[/tex] is your answer
Step-by-step explanation:
Answer:
4√3 i
Step-by-step explanation:
The square root of -1 is equal to the imaginary number i. So, we can take out the square root of -1 to have i times the square root of 48. We can prime factorize 48 to get 4 and the square root of 3. That leaves us with 4 times the square root of three times i.
-2x + 3 -(5 - 6x) simplify
Answer:
4x-2
Step-by-step explanation:
Rearrange terms
Distribute
Subtract the numbers
Combine like terms
