Parallel to the line:
[tex]{\sf{2y = x + 1}}[/tex]
[tex]{\sf{y = \frac{x}{2} + \frac{1}{2 }}} [/tex]
Hence Slope:
[tex]{\sf{\large{\frac{1}{2}}}}[/tex]
The slope of line of which equation we need is parallel to the line given. Therefore, it's slope also is (m):
[tex]{\sf{\large{\frac{1}{2}}}} [/tex]
Also, the line passes through the points (4, 1)
Therefore by the formula of
[tex]{\sf{(y - y1) = m(x - x1)}}[/tex]
we have:
[tex]{\sf{(y - 1) = \frac{1}{2} (x - 4) }}[/tex]
[tex]{\sf{2y - 2 = x - 4}}[/tex]
[tex]{\sf{x - 4 - 2y + 2 = 0}}[/tex]
[tex]{\sf{\red{\boxed{\sf{x - 2y - 2 = 0}}}}}[/tex]
Find value of x.
3x + 6 - 6 = 248
Answer:
x=82.7
Step-by-step explanation:
3x+6-6=248
3x=248
x=82.7
Answer:
[tex]82.6[/tex]Step-by-step explanation:
Simplify both sides of the equation:3x + 6 − 6 = 248
3x + 6 + − 6 = 248
( 3x ) + ( 6 + − 6 ) = 248 (ℂ )
3x = 248
Divide both sides by 3:3x / 3 = 248 / 3
x = 248 / 3
x = 82.6
Graph the image of the
quadrilateral below using a scale
factor of & = 3/2.
The coordinates of the vertices of the image are Q'(x, y) = (- 1.5, 6), T'(x, y) = (0, - 3), R'(x, y) = (1.5, 3) and S'(x, y) = (3, - 3), respectively.
What is the image of a quadrilateral after applying a dilation factor?
A dilation is a kind of rigid transformation, that is, a transformation applied on geometric loci such that its Euclidean distance is conserved. According to the statement, we must the following dilation to generate the image:
P'(x, y) = (3 / 2) · P(x, y)
If we know that Q(x, y) = (- 1, 4), T(x, y) = (0, - 2), S(x, y) = (2, - 2) and R(x, y) = (1, 2), then the vertices of the images are:
Q'(x, y) = (3 / 2) · (- 1, 4)
Q'(x, y) = (- 1.5, 6)
T'(x, y) = (3 / 2) · (0, - 2)
T'(x, y) = (0, - 3)
R'(x, y) = (3 / 2) · (1, 2)
R'(x, y) = (1.5, 3)
S'(x, y) = (3 / 2) · (2, - 2)
S'(x, y) = (3, - 3)
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Which fruit snack cost less per pound? How much less?
Each pound of brand B costs 0.33 dollars less than each pound of brand A.
Which fruit snack costs less per pound?
Here we need to find the cost per pound for both brands, to get that, we need to get the quotient between the costs and the number of pounds.
For brand A the cost is $37.80 and you get 35 pounds, then the cost per pound is:
A = $37.80/35 = $1.08
Then each pound for brand A costs 1.08 dollars.
Now let's do the same for brand B, the cost is $33.75, and you get 45 pounds, then the cost per pound is:
B = $33.75/45 = $0.75
Then each pound for brand B costs 0.75 dollars.
So brand B is cheaper, and the difference is:
1.08 dollars - 0.75 dollars = 0.33 dollars.
Each pound of brand B costs 0.33 dollars less than each pound of brand A.
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This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
A
M
B
b. Name a pair of line segments with the same length.
Here is a diagram of a straightedge and compass construction. c is the center of one circle, and b is the center of the other. Since both segments begin at point B, their lengths are equal.
Both segments begin at point B, their lengths are equal.
Since the radius of the smaller circle is the distance from its center (B) to its edge, length BD equals length AB.
Using the attached diagram
The larger circle's center is at C, while
Point B is the location of the smaller circle's center.
The smaller circle passes through the larger circle, dividing it into two segments, BD and AB, which extend from the smaller circle's center to their intersecting edges.
As a result, since both segments begin at point B, their lengths are equal.
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7. One hundred three and one half gallons drained in the last 9 minutes from a pool. The water drains at a constant rate. How many gallons drain per minute from the pool?
The Number of Gallons drained per minute from the pool is; 931.5 gallons drained per minute
What is the constant rate?Constant rate is simply a rate that remains unchanged regardless of change in parameters.
Now, we are told that One hundred three and one half gallons drained in the last 9 minutes from a pool. Thus;
Amount of gallons that drained from pool = 103¹/₂ gallons = 207/2 gallons
Time it took to drain = 9 minutes
Thus;
Number of Gallons drained per minute from the pool = (207/2)/9
Number of Gallons drained per minute from the pool = (207 * 9)/2
Number of Gallons drained per minute from the pool = 931.5 gallons drained per minute
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−4xy(5x² – 9xy – y²)
The abbreviated formula is -4xy (5x(x-y) - y(4x + y)).
The answer to the question is that common words outside of the brackets can be used to simplify the supplied equation.
Therefore,
Required expression is -4xy(5x2 - 9xy -y2), which is equivalent to -4xy(5x2 - 5xy - 4xy -y2).
The final formula will be: -4xy(5x(x-y) - y(4x + y)).
Therefore, the abbreviated formula is: -4xy(5x(x-y) - y(4x + y)).
How does simplification work?In mathematics, simplification is a technique that makes a complex equation simpler in a less complex way. This approach makes expression calculation possible.
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Suppose a function has a local max of (-1, 3) what can you conclude if the function is even? what can you conclude if the function is odd?
Suppose your function is increasing from the interval [2,5] what can you conclude if the function is even? what can you conclude if it is odd?
Using the concept of even and odd functions, it is found that, considering the function has a local max at (-1,3):
If the function is even, it will have another local max at (1,3).If the function is odd, it will have a local min at (1,-3).For a function increasing on [2,5], we have that:
If the function is even, it will be decreasing on [-5,-2].If the function is odd, it will be increasing on [-5,-2].What are even and odd functions?In even functions, we have that f(x) = f(-x) for all values of x.In odd functions, we have that f(-x) = -f(x) for all values of x.If none of the above statements are true, the function is neither.Hence, considering the function has a local max at (-1,3):
If the function is even, it will have another local max at (1,3).If the function is odd, it will have a local min at (1,-3).For a function increasing on [2,5], we have that:
If the function is even, it will be decreasing on [-5,-2].If the function is odd, it will be increasing on [-5,-2].For even functions it will decrease because we have that f(4) > f(3), for example, hence f(-4) > f(-3).
For the odd function it will increase because if f(4) > f(3), then f(-3) > f(-4) due to the negative signal.
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what the product of 6 and x
Answer:
6x
Step-by-step explanation:
Because, 6 multiplied by x, we know that if there is just an x, we add a 1, so it would be 1x. 1x multiplied by 6 is 6x.
Hope this helps you!
Answer:
6x
Step-by-step explanation:
The product means multiply
6*x
6x
What are the statements and reasons for this two-column proof. Given: ab= cd prove ac=bd.
Two column proof is a way to portray proofs in geometry.A two column proof always has two columns, one for statement and the other for reason.
The rules of a two column proof are, every statement should be numbered, every statement should have a reason. There is no order for the statements but it is better to maintain logocal order.Reasons for the statements are theories, previously proved theorems that justify the statement.
A,B,C,D are on a line and we have to prove that if AB=CD then AC=BD
Statements Reasons
1.A,B,C,D are collinear 1.given
2.AB=CD 2.given
3.BC=BC 3.reflexive
4.AB+BC=BC+CD 4.adding 2 and 3
5.AB+BC=AC and BC+CD=BD 5. Segment addition
6.AC=BD 6.Substitution
Thus it is proved by two column proof that if AB=BC then AC=BD
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Solve for g.
g=
G|N
7
+-70
Answer:
g=−28
Step-by-step explanation:
-74 = g/7 + -70
Let's solve your equation step-by-step.
−74=g/7−70
Step 1: Simplify both sides of the equation.
−74=g/7−70
−74=1/7g+−70
−74=1/7g−70
Step 2: Flip the equation.
1/7g−70=−74
Step 3: Add 70 to both sides.
1/7g−70+70=−74+70
1/7g=−4
Step 4: Multiply both sides by 7.
7*(1/7g)=(7)*(−4)
g=−28
I need help with this question please
Answer:
The true statements are the 1st, 2nd, and 4th statement.
carol decides to send out a survey to see what her coworkers think of the new dress code policy. if she chooses a sample of the population that gives each person an equal chance of participating, this would be a(n) sample.
This is the random sampling is used in the statement.
According to the statement
We have to find that the about the sampling.
So, For this purpose, we know that the
A sample is an outcome of a random experiment. once we sample a chance variable, we obtain one specific value out of the set of its possible values. that exact value is termed a sample.
From the given information:
if she chooses a sample of the population that offers everyone an equal chance of participating, this might be a(n) sample.
Then
According to this, there is random sampling is used.
Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.
So, This is the random sampling is used in the statement.
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What is the image point of (9, -2) after a translation right 1 unit and down 1 unit
Answer:
( 10 , -3 )
Step-by-step explanation:
→ See which coordinate is affected by a translation right
x
→ Apply
( 10 , y )
→ See which coordinate is affected by a translation down
y
→ Apply
( 10 , -3 )
convert 15 feet per second into yards per hour using unit cancellation
Answer:
626 times 6261 plus 276262
Step-by-step explanation:
i buy 626 cookies and 1000 million water how much did i eat and drink?
5. What is the missing side length, x, in this
right triangle?
16 yd
20 yd
A.
4 yards
B.
8 yards
C. 12 yards
D. 16 yards
X
5
Answer: 12
Step-by-step explanation: we know that a^2 + b^2 = c^2, pythagorean theorem. We're given a and c in this case, which are 16 and 20 respectively. so that means 16^2 + x^2 = 20^2. After evaluating the equation, we get 256+ x^2 =400. now subtract 256 from both sides and then we get x^2 = 144. take the square root of both sides and we end up with x = 12.
Suppose that the function fis defined, for all real numbers, as follows.
f(x) =
x-4 if x < 2
-2x+2 if x ≥2
Graph the function f. Then determine whether or not the function is continuous.
See attachment for the graph and the function is a continuous function.
How to graph the function?The function definition is given as:
f(x) = [ x-4 if x < 2
[-2x+2 if x ≥2
The above function is a piecewise function.
So, we plot each function by its domain
Having said that, the next step is to plot the graph of the functions in f(x) according to their domain
See attachment for the graph
Also, the function is a continuous function.
This is so because there is no break in the function value i.e. domain and range are the set of all real values
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brainliest if answerd correctly x³+y³+z³=k
Answer:
Uhh the answer should be x^3 + y^3 + z^3 for k
Step-by-step explanation:
That's what it says in question, which is the answer.
Pls brainlieset :0?
Consider the data set
5 2 2 4 9 2 3 1
Find the average (mean):
Find the median:
Answer:
Step-by-step explanation:
4+2=6
6/2=3
What is 8.456 as a fraction
Answer:
8456/1000 Is the fraction of 8.456
Answer:
1057/125
Just write the number in a calculator and press equal. It'll give you the number in fraction
can someone help me please
Answer:
-175
Step-by-step explanation:
thats the answer to the question
A rectangular carpet measures 10 m by 6m
Part of the carpet is covered by a square rug of length 2 m
2m
10m
Diagram not drawn accurately
6m
What fraction of the carpet is
covered by the rug?
Give your answer in its simplest form.
Optional working
Answer:
The fraction of the carpet covered by the rug will be 1/15.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A rectangular carpet estimates 10 m by 6m. Some portion of the rug is covered by a square rug of length 2 m.
The area of the carpet is given as,
A = 10 x 6
A = 60 square meters
The area of the rug is given as,
a = 2 x 2
a = 4 square meters
A fraction of the carpet is covered by the rug is given as,
⇒ 4 / 60
⇒ 1 / 15
A fraction of the carpet covered by the rug will be 1/15.
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The missing diagram is attached below.
Solve the equation.
3x - 1 1 - 3x
Solution:
Previous
X = -1/6
X = -1/3
X = 0
x = 1/6
X = 1/3
X = 3
X = 6
infinitely many solutions
no solution
6 7
8 9 10
Next
Answer:
x = 1/3
Step-by-step explanation:
•3x - 1 = 1 - 3x *group like terms*
•3x + 3x = 1 + 1 *remember whenever you transpors the sign changes*
•6x/6 = 2/6
• x = 1/3
What is the measure of angle ABE?
Please help!
Answer:
50 degrees
Step-by-step explanation:
The angle of ABE is opposite to angle CBD, which means that ABE = CBD
It is a math rule, all opposite angles are equal.
Rewrite, using the distributive
property.
1(19c+30) = [?]c + [ ]
Answer:
[tex] \sf \: 19c + 30 [/tex]
Step-by-step explanation:
Given expression,
→ 1(19c + 30)
Let's simplify the expression,
→ 1(19c + 30)
→ 1(19c) + 1(30)
→ (1 × 19)c + (1 × 30)
→ (19)c + (30)
→ 19c + 30
Hence, answer is 19c + 30.
solve for x
3/9 = x/12
Simplify your answer as much as possible.
Answer:
Step-by-step explanation: We can begin by rewriting the equation. That would look like so:
3/9 = x/12
We need to solve for x. Our first step is to identify a common denominator. Let's list the multiples of each denominator.
9: 9, 18, 27, 36
12: 12, 24, 36
Our common denominator is 36.
Now, let's cross multiply:
3 x 12 = 36
9 x ? = 36
36 ÷ 9 = 4
x = 4
Final answer: 3/9 = 4/12, where x = 4.
For the given function and domain, draw the graph and identify the range using the same notation as the given domain.
Using it's concept, the range of the function f(x) = -x + 5 in the domain [-3,2] is [3,8], and the graph is given at the end of the answer.
What is the range of a function?The range of a function is the set that contains all possible output values of the function for a given domain(set of input values). In a graph, the range is given by the vertical axis, that is, by the values of y.
From the graph shown at the end of the answer, y assumes values between 3 and 8, hence the range is of [3,8].
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Please help!!! giving 100 points for correct answer
(algebra 2)
|-3d-6|+|-5-d^2| for d =-3
please give a step by step too
Answer:
17
Step-by-step explanation:
[tex]\sf |-3d-6|+|-5-d^2| \quad for\:\: d = -3[/tex]
Given expression:
[tex]\sf |-3d-6|+|-5-d^2|[/tex]
substitute d = -3
[tex]\sf |-3(-3)-6|+|-5-(-3)^2|[/tex]
simplify following inside parenthesis
[tex]\sf |9-6|+|-5-9|[/tex]
simplify by combining integers
[tex]\sf |3|+|-14|[/tex]
if |-a| or |a| then equals to a
[tex]\sf 3+14[/tex]
evaluate:
[tex]\sf 17[/tex]
Answer:
17
Step-by-step explanation:
Given expression:
[tex]|-3d-6|+|-5-d^2|[/tex]
To evaluate for d = -3, substitute d = -3 into the expression:
[tex]\implies |-3(-3)-6|+|-5-(-3)^2|[/tex]
[tex]\textsf{Apply exponent rule} \quad a\cdot a=a^2:[/tex]
[tex]\implies |(-3)^2-6|+|-5-(-3)^2|[/tex]
[tex]\textsf{Apply exponent rule} \quad (-a)^2=a^2:[/tex]
[tex]\implies |3^2-6|+|-5-3^2|[/tex]
[tex]\implies |9-6|+|-5-9|[/tex]
Subtract the numbers:
[tex]\implies |3|+|-14|[/tex]
[tex]\textsf{Apply absolute rule} \quad |a|=a, \quad a\geq 0[/tex]
[tex]\implies 3+|-14|[/tex]
[tex]\textsf{Apply absolute rule} \quad |-a|=a, \quad a > 0[/tex]
[tex]\implies 3+14[/tex]
Add the numbers:
[tex]\implies 17[/tex]
A school had 300 students in 2013 and 450 students in 2015. What was the average rate of growth in student per year?
[tex]450 - 300 = 150 \\ 150 \div 2 = 75t \\ the \: average \: rate \: of \: growth \: per \: year \: is \: 75 \: student \: per \: year[/tex]
cuanto es [tex]\sqrt \sqrt{3\sqrt{45^{3} } }[/tex]
2(3x-2)-4x+1= 9 solve for x
Answer:x=6
Step-by-step explanation:
6x-4-4x+1=9
subtract 1 from both sides
6x-4-4x=8
add 4 to both sides
6x-4x=12
subtract 6x by 4x
2x=12
divide by 2 on both sides
x=6