There are two ways ,let's check
Proof:-
\(\boxed{\begin{array}{c|c}{\boxed{\bf{Statement}}}&{\boxed{\bf{Reason}}}\\ \sf AB\cong CB &\sf Given \\ \sf AD\cong CD &\sf Given \\ \sf <BAD\cong <BCD &\sf Given \\ \sf BD\cong BD &\sf Common\:side\end{array}}\)
So
\(\\ \rm\rightarrowtail \triangle ABD\cong \triangle CBD (SSS)\:or\:(SAS)\)
In ∆ABD & ∆CBD,
Statement 1
AB ≊ CBReason
GivenStatement 2
AD ≊ CDReason
GivenStatement 3
∠BAD ≊ ∠BCDReason
GivenStatement 4
BD ≊ BDReason
Common side between∆ABD & ∆CBDStatement 5
∠BDA ≊ ∠BDCReason
Angles formed on the base of bisector are equalHence , ∆ABD ≊ ∆CBD by side angle side criterion
If f(x) = -3 and g(x) = 3x² + x − 6, find (f+ g)(x).
Answer: \(3x^2+x-9\)
Step-by-step explanation:
f(x) + g(x)
Given: f(x) = -3 and g(x) = 3x^2+x-6
\(-3+3x^2+x-6\)
Final answer:
\(3x^2+x-9\)
Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.
What is the slope of -x+ 5y = 10?
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
if i am on the computer for 5 hours every weekday for a year how long am i on the computer?
Answer: 300
Step-by-step explanation:
You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year
the top of an electric pole is s supported by a wire of 26 ft long on the ground level. how far is tightened spot from the foot of the pole if its height is 24 ft?
Answer:
The tightened spot is 10 feet away from the foot of the pole.
Step-by-step explanation:
1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.
2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.
⭐What is the Pythagoras' Theorem?
\((C)^2 = (A)^2 + (B)^2\)An equation to find a 3rd side lengthC = hypotenuseA = one legB = another leg3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.
Let B= the distance from the tightened spot to the foot of the pole.
\((C)^2 = (A)^2 + (B)^2\)
\(26^2 = 24^2 + B^2\)
\(676 = 576 + B^2\)
\(100 = B^2\)
\(\sqrt{100} = \sqrt{(B)^2}\)
\(10 = B\)
∴ The tightened spot is 10 feet away from the foot of the pole.
Diagram:
The number 0.00000098 written in scientific notation
Answer:
9.8 x 10^-7
Step-by-step explanation:
4 5/6 x 2/5 what is this answer
Answer:
\(1\frac{14}{15}\) or exact form \(\frac{29}{15}\)
Step-by-step explanation:
Um bc im trap bunny bubbles
If point X is between W and Y then WX + XY = WY.
always
sometimes
never
Answer:
Always
Step-by-step explanation:
lets say WY = 8
WX = 2
hope this helps
XY = 6
WX(2) + XY(6) = 8
Answer:
always
Step-by-step explanation:
Show Work For The Problem
The function is zero at x = 1 and x = -3.
The vertex of the function is (-1, -4).
(0, -3) is the y-intercept.
The minimum of the function is at x = -1.
All the statement is true.
We have,
The zeroes of a function are the values of x that make the function evaluate to zero.
The vertex of a function, also known as the vertex point or vertex form, is a point on the graph of a quadratic function where the function reaches its maximum or minimum value.
The minimum of a function refers to the lowest value that the function attains over a given interval or its entire domain.
Now,
From the graph,
The function is zero at x = 1 and x = -3
So,
The function has two zeroes.
And,
The vertex of the function.
= (-1, -4)
And,
At x = 0, y = -3.
(0, -3)
This is the y-intercept.
Now,
From the graph,
The minimum of the function is at x = -1.
Thus,
The function is zero at x = 1 and x = -3.
The vertex of the function is (-1, -4).
(0, -3) is the y-intercept.
The minimum of the function is at x = -1.
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Find legit BD
I need help for my assignment
Answer:
BD = 4
Step-by-step explanation:
∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.
Therefore:
BD = CD
3x + 1 = 5x - 1 (substitution)
Collect like terms
3x - 5x = -1 - 1
-2x = -2
Divide both sides by -2
x = -2/-2
x = 1
✔️BD = 3x + 1
Plug in the value of x
BD = 3(1) + 1
BD = 3 + 1
BD = 4
product.
31. 117 x 31
Answer:
The answer for the product of 31.117 and 31 is equal to
964.627
Angie and Kim are sharing a large sub sandwich. Angie ate
of the sandwich, and Kim ate another
of the sandwich. How much of the sandwich did they eat altogether?
The amount of sandwich they eat altogether is 2/3
How to determine the amountA fraction can be defined as the part of a whole number, a whole number, a whole element.
The different types of fractions are listed as;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsFrom the information given, we have that;
Angie ate 1 / 3 of the sandwich
Kim ate another 1 / 3 of the sandwich
To determine the total amount, we have;
1/3 + 1/3
add the values
1 + 1/3
add the values, we get;
2/3
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The complete question:
Angie and Kim are sharing a large sub sandwich. Angie ate 1 / 3 of the sandwich, and Kim ate another 1 / 3 of the sandwich. Please work out in detail.
Find the range of the relation (x,y)/y+x=9) with domain (2,4,6,8)
The range of the relation (x,y) where y + x = 9 and the domain is (2, 4, 6, 8) is {1, 3, 5, 7} which can be obtained by substituting each x-value in the domain into the equation y = 9 - x to get the corresponding y-values.
The given relation is (x,y) where y + x = 9. We are asked to find the range of this relation when the domain is (2, 4, 6, 8), which means we want to find the set of all possible y-values for each x-value in the domain.
To do this, we solve the equation y + x = 9 for y in terms of x by subtracting x from both sides:
y = 9 - x
This equation tells us that the y-value for any given x-value is determined by subtracting that x-value from 9.
We then substitute the values of x in the domain (2, 4, 6, 8) into this equation to get the corresponding y-values:
When x = 2, y = 9 - 2 = 7
When x = 4, y = 9 - 4 = 5
When x = 6, y = 9 - 6 = 3
When x = 8, y = 9 - 8 = 1
These four pairs of values (2, 7), (4, 5), (6, 3), and (8, 1) make up the range of the relation. Therefore, the range of the relation is {1, 3, 5, 7}.
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CAN SOMEONE PLEASE HELP ME WITH MY MATH !!!
Answer:
3√10
Step-by-step explanation:
From the Euclidean theorem x^2 (height) is equal to 9 × 10
x^2 = 90
x = 3√10
4. Shawn has $50. Eric has $110. How much money must Shawn give to Eric so that the amount of money Eric has is 2 times more than what Shawn has?
Answer: 0.00
Step-by-step explanation:
50$x2=100
Eric has 110$
The Suarez family paid $24.00 for 4 movie tickets. How much would they have paid for 12 tickets?
Answer:
72 i think
Step-by-step explanation:
dhdhdhhdhdhdhxurhsgysydgdghdhdhdhhdhsusiisiisisii
Answer:
oooh k nvm
Step-by-step explanation:
Complete the table representing a linear function
Answer:
10 ; 10
Step-by-step explanation:
( 1 , 0 )
( 5 , 40 )
m = \(\frac{40-0}{5-1}\) = 10
y = 10x - 10
( 2 , 10 )
( 10 , 90 )
What is the image point of (8, -10) after the transformation r y=-x D1/2?
Answer:
(5, -4)
Explanation:
Given the point:
\((8,-10)\)If a point (x,y) is reflected over the line y=-x,the transformation rule is:
\((x,y)\to(-y,-x)\)Thus, we have:
\((8,-10)\to(10,-8)\)Next, a dilation by a constant factor 1/2 gives us:
\(\begin{gathered} (\frac{10}{2},-\frac{8}{2}) \\ =(5,-4) \end{gathered}\)The image point is (5,-4).
Factorise fully 6x+8
Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.
Step 1: Factor out the GCF:
2(3x + 4)
Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.
Therefore, the fully factorized form of 6x + 8 is:
2(3x + 4)
Step-by-step explanation:)
The factored expression is:
↬ 2(3x + 4)Step-by-step explanation:
To factor the expression, look at its GCF (greatest common factor).
Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :
6x ÷ 2 + 8 ÷ 2The result is :
3x + 4And now the 2 goes outside the parenthesis:
2(3x + 4)Hence, the answer is 2(3x + 4).
Divide. Express your answer in simplest form.
5/12 divided by 7/8
Help plzzz
Answer:
5/12 / 7/8 =10/21
Step-by-step explanation:
Answer:
10/21
Step-by-step explanation:
5/12 divided by 7/8
5/12÷7/8
5/12×8/7
5×8/12×7
10/21
So the answer is 10/21
Wouldn’t it be the 3rd answer 1/3 + 1/4 because you have to convert the dominators into 12 then you will get 4/12 and 3/12 then just add them and you’ll get 7/12 cause you can’t add different dominators.
Answer:
Yes, correct
Step-by-step explanation:
Hope that helppppps
The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the numbers of tickets that need to be sold.
Answer:
\(9.5x+6.5y\geq $800\)
Step-by-step explanation:
9.5 in value of adult tickets. 6.5 is value of children's tickets. combined selling of all of them should be greater than or equal to 800 ("atleast" in the question shows it can be more but cannot be less)
If six is subtracted from three times a number, the difference is twice the number. What is the number?
Answer:
Step-by-step explanation:
Let the number be x.
3x - 6 = 2x
x - 6 = 0
x = 6
Complete the square by adding the correct missing term on the left, then factor as indicated:
The perfect square in this problem is given and factored as follows:
x² + x + 0.25 = (x + 5)².
What is a perfect square?The perfect square of the sum of two terms is given by the notable product presented as follows:
(x + a)² = x² + 2ax + a².
In the context of this problem, the expression is given as follows:
x² + x +
Then the coefficient a is obtained comparing the above function to the standard function as follows:
x² + x = x² + 2ax.
Then:
2a = 1
a = 0.5.
Hence the final term of the expression is given as follows:
a² = 0.5² = 0.25.
Thus the complete expression is:
x² + x + 0.25.
And the factored expression is of:
(x + 0.5)².
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If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
a. Poisson
b. exponential
c. binomial
d. hypergeometric
To calculate the probability of arrival of ten customer in one hour at a service station then use of option a. Poisson probability distribution is more applicable.
Poisson probability distribution represents the discrete probability of any event.This represents the occurring of the independent event in a fixed interval of time.It is also called constant mean rate.Here arrival of ten customer in fixed time interval of one hour we have to calculate.It implies that the Poisson probability distribution is the best way to calculate the given situation.Therefore, the required probability for the given situation is Poisson probability distribution .
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Given the graph of f(x) above, find the following and write your answers using interval notation (Separate multiple intervals with a comma):
(a) Domain: 7
(b) Range:
(c) Interval(s) on which f(x) is increasing:
(d) Interval(s) on which f(x) is decreasing:
(e) Interval(s) on which f(x) is constant:
(f) Local maxima: 3
(g) Local minima: -5
Answer:
a) [-9,8)
b) [-5,5]
c) (-4,0), (1,6)
d) [-9,-4), (6,8)
e) [0,1]
f) just the y-value: 5; as a point: (-8,5)
g) just the y-value: -5; as a point: (-4,-5)
Step-by-step explanation:
a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).
b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.
For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.
c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?
d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?
e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?
f) Look for the highest non-infinity point on the graph
g) Look for the lowest non-infinity point on the graph
Factor the expression using the GCF. 76d-24=
Answer:
Factoring the expression \(76d-24\) using the GCF we get \(\mathbf{4(19d-6)}\)
Step-by-step explanation:
We need to factor the expression using the GCF : \(76d-24\)
GCF stands for greatest common divisor.
We need to find the greatest number that is divisible by both terms.
The greatest number that is divisible by both terms is 4
So, Now factoring the term:
\(76d-24\\=4(19d-6)\)
So, factoring the expression \(76d-24\) using the GCF we get \(\mathbf{4(19d-6)}\)
A spinner has an equal chance of landing on either red, blue, or green. You spin six times. What is the probability that spinner lands on red exactly three times?
Norris Company uses the perpetual inventory system and had the following purchases and sales during March.
Using the inventory and sales data above, calculate the value assigned to cost of goods sold in March and to the ending inventory at March 31 using FIFO and LIFO
FIFO
Cost of goods sold: $____
Ending inventory: $____
LIFO
Cost of goods sold: $____
Ending inventory: $____
FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.
To calculate March cost of goods sold we need to add the given data for FIFO =
March cost of goods sold
= (2,800 + 3,700 + 6,550)
= 13,050
To calculate March cost of goods sold we need to add the given data for LIFO =
March cost of goods sold
= (3,400 + 4,400 + 6,800)
= 5,800
Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.
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solve inequality (i need gelo with this )
Answer:
Interval Notation : ( -3, ∞)
Step-by-step explanation:
graph: