Answers
Answer:
y = -3x -27
Step-by-step explanation:
Parallel lines have the same slope. So the slope will be -3
We need to solve for the y-intercept. Us the x and y values from the point (-6,-9) to find the y-intercept
m = -3 given
y = -9 from the point( -6,-9)
x = -6 from the point (-6,-9)
y = mx + b substitute in what you know and solve for b
-9 = (-3) (-6) + b
-9 = 18 + b Subtract 18 from both sides
-9 -18 = 18 - 18 +b
-27 = b
The equation of the line is y = -3x -27
Related Questions
Evaluate the expression 2^x- x^22
x
−x
2
2, start superscript, x, end superscript, minus, x, squared for x=5x=5
Answers
The evaluation of the expression 2ˣ - x² when x = 5 is 7
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2^x- x^2
Value x = 5
Rewrite the expression as
Expression: 2ˣ - x²
Substitute the known values in the above equation, so, we have the following representation
2ˣ - x² = 2⁵ - 5²
When the exponents are evaluated. we have
2ˣ - x² = 32 - 25
Evaluate the like terms in the equation
So, we have the following representation
2ˣ - x² = 7
Using the above as a guide, we have the following:
The solution is 7
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11. Manuel has two different recipes for chocolate chip
muffins. The table shows the amount of chocolate chips
needed per batch for each recipe. He has 10 cups of
chocolate chips. The equation 2b = 10 can be used to
find b, the number of batches of muffins he can make if
he uses Recipe 1. Can Manuel make 3, 4, or 5 batches if
he uses Recipe 1?
n
JID
Recipe Chocolate Chips (cups)
1
2
2
1
Answers
Answer:
Manuel can make 5 batches of muffins using Recipe 1
Step-by-step explanation:
You want to know the value of b in the equation 2b = 10, where b is the number of batches of muffins Manuel can make using recipe 1.
SolutionDivide both sides of the given equation by 2 so solve for the value of b.
(2b)/2 = (10)/2
b = 5
Manuel can make 5 batches of muffins using Recipe 1.
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What is the solution of
2+4/9x ≥ 4+x?
Answers
Answer:
x < -18/5
this is the answer of you problem
Erin is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 5 mysteries, 5 dramas, and 7 action movies. How many different combinations of 9 movies can he rent if he wants all 5 mysteries
Answers
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
How are the various combinations determined?The following formula determines how many combinations of n objects can be taken r at a time: (n,r) = C(n,r)! .
She was a master of both wit and martial arts. The art and science of education blend beautifully. He saw slam poetry as the ideal synthesis of thought, writing, and theater. The desired mix is produced by the computer system (the perfect combination of arabica and robusta).
Five documentaries make up the total.
7 comedies total are available.
Four mysteries are present.
5 horror movies are there.
A total of 14 films, excluding comedies, are available.
If he wants to rent all 7 comedies, there are a total of 9 different combinations that he can do.
1 * (14*13)/2 = 91
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
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In the figure, a∥e, m∥n, and m∠2 = 112°.
What is m∠6?
Enter your answer in the box
Answers
The measure of the angle ∠6 = 112°
What are parallel lines?
Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.
As given
a∥e, m∥n, and m∠2 = 112°.
As m∥n
a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)
Thus
∠ 2 = ∠3 ( Corresponding angle property )
∠3 = 112°
Also
a∥e and m are transversal.
∠ 3 = ∠6 = 112 ° ( Corresponding angle property )
Hence, the measure of the angle ∠6 = 112°
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The measure of the angle ∠6 = 112°
What are parallel lines?
Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.
As given
a∥e, m∥n, and m∠2 = 112°.
As m∥n
a is the transversal (A line that cuts across two or more (usually parallel) lines is called a transversal.)
Thus
∠ 2 = ∠3 ( Corresponding angle property )
∠3 = 112°
Also
a∥e and m are transversal.
∠ 3 = ∠6 = 112 ° ( Corresponding angle property )
Hence, the measure of the angle ∠6 = 112°
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•18 POINTS• (don’t answer icebrain)
a.)
b.)
c.)
Answers
Answer: C
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
In this case, 16 is the hypotenuse (the longest side of a right triangle) and 13 is the leg.
EX 2
QUAD ABCD is a rectangle with
diagonals that intersect at point P.
AC = 4x-13 and DP = x + 7. Find the
value of 'x'.
Answers
QUAD ABCD is a rectangular shape whose diagonals meet at point P. AC is 4x-13 and DP is x + 7.
Can you show that the quadrilateral ABCD is a parallelogram given the provided information?When one set of opposing sides in a quadrilateral are congruent and parallel, the quadrilateral is a parallelogram. ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another.
In QUAD ABCD, DP equals x + 7 and AC is 4x-13.
4x - 13 is x + 7 + x + 7
4x - 13 = 2x+14
2x-13 = 14.
hence,
The value of x is 13.5.
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Type in the missing values to complete the simplified form of the expression 4x-4+3y+ 6-2x+3y.
__ x +__ y + __
Answers
Answer:
2x+6y+2
Step-by-step explanation:
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Highschool Algebra: Indicated Operation.
(-ab2)(-6ab2)(3ab)
Answers
Answer:
-18a^3b^5
Step-by-step explanation:
First do -ab^2*-6ab^2=-6a^2b^4
Then multiply that by 3ab=-18a^3b^5
What are the values of trigonometric ratios?
Answers
three main trigonometry ratios are sin ,cos and tan.
1- Sine or sin θ = perpendicular / Hypotenuse .
2- Cosines or cos θ = base of triangle / Hypotenuse .
3- Tangent or tan θ = perpendicular of triangle / base of triangle.
Trigonometry
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.
for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.
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Quantity (in lbs.) Value (per lb.) Total
Butterscotch x 2.15 2.15x
Peppermint y 2.35 2.35y
Mixture 10 2.20 22
Using the table, match the items in the following lists.
1 .
x
pounds of butterscotch candy
2 .
$2.35
pounds of peppermint candy
3 .
y
price per pound of butterscotch
4 .
$2.15
price per pound of mixture
5 .
$22.00
cost for ten pounds of mixture
6 .
$2.20
price per pound of peppermints
Answers
By using the table, each of the items in the lists should be matched as follows:
pounds of butterscotch candy: x.pounds of peppermint candy: y.price per pound of peppermint: $2.35.price per pound of butterscotch: $2.15.price per pound of mixture: $2.20.cost for ten pounds of mixture: $22.00.What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.
Additionally, a system of equations that models the information provided in the table is given by;
x + y = 10.
2.15x + 2.35y = 22.00.
In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.
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Eric added up on a number line to find 4 over 5 minus 5 over 10
Answers
Answer: 4/5 minus 5/10 can be simplified as:
(4/5) - (5/10)
It can also be re-written as
(4/5) - (1/2)
To subtract these fractions, we need a common denominator, which is 10 in this case.
So it becomes
(4/5)(2/2) - (1/2)(5/5) = 8/10 - 5/10 = 3/10
So the result of 4/5 minus 5/10 is 3/10 on a number line.
Step-by-step explanation:
solve the inequality. -7x < 35
Answers
[tex]-7x < 35[/tex]
Divide both sides by -7:
[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]
Since we are dividing by a negative number, the sign will reverse.
[tex]\fbox{x} > \fbox{-5}[/tex]
The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
-7x < 35
To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.
We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).
However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:
x > -5
This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.
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Find the commission on a 1,250 sale with a commission rate of 5%.
Please help only if you know it and please explain the answer
Answers
The commission on the sale would be $62.5
To find the commission on a sale, you can use the following formula:
Commission = Sale Amount x Commission Rate
Sale Amount: the total value of the sale
Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)
The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.
In this case, the commission on a 1,250 sale with a commission rate of 5% would be:
= 1,250 x 0.05
= 62.5
So the commission on the sale would be $62.5
It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.
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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
8:20 =
Ponies
3
Write the ratio of ponies to goats.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio,
possible.
T
123 f() ∞*E ABC αβγ
Rabbits
8
21
7
8
O
1.
Sheep
6
a
DG
Answers
Answer: 1:1
Step-by-step explanation:
We will write a ratio of ponies to goats;
ponies : goats
3 : 3
Next, 3:3 can be simplified to 1:1. This gives us our fully reduced ratio.
how to solve inequations
Answers
Answer:
When solving an inequality: you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.
you can add subtract multiply and divide the quantity to each side
But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed
3 x -8> 29
3 x -8 < 29
You need to study the satisfaction of customers of a specific restaurant. You decide to order food and talk to those customers sitting next to you. This would most closely describe which type of sampling technique
Answers
This is how the Cluster of sampling technique is best described.
Describe cluster sampling.Cluster sampling divides a population into clusters, which are more compact groupings. From these clusters, they next randomly select a sample. Cluster sampling is a probability sampling approach that is frequently used to explore large populations, especially those that are widely geographically dispersed.Large, dispersed populations should be investigated using cluster sampling. This is because interviewing each individual is expensive, time-consuming, and in some cases impossible. Building more compact, comparable representations of the population under study is made possible by cluster sampling.For instance, if you wanted to investigate the consumption of soda in a certain city, you could use area sampling to divide the city into several regions, or clusters, and then choose out specific clusters to study.Learn more about cluster sampling refer to :
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does multiplying 2 numbers together always give the first common multiple of the numbers? explain using examples
Answers
2 x 8 = 16
But the first common multiple is 8
2, 4, 6, 8, 10, 12, 14, 16…
8, 16, 24…
Can I get help in number 6?
Answers
Answer:
Trim A
Inches = 36
Feet = 3
Yards = 1
Trim B
Inches = 216
Feet = 18
Yards = 6
. In the cafeteria
3 out of every 5
students prefer
pizza. If there are
200 students in the
cafeteria how many
students prefer
pizza?
Answers
Answer:
120
Step-by-step explanation:
3/5 of 200 = 120
Step-by-step explanation: Write 3 out of every 5 students as a fraction, (3 over 5). Now divide 5 into 200. You get 40. Multiply that by 3, you get 120. (As a fraction it is 120 over 200). Therefore, 120 students prefer pizza.
Gcf of -28, 60, and 72
Answers
Answer:
4
Step-by-step explanation:
-28 = ±2^2 x ±7
60 = ±2^2 x ±3 x±5
72 = ±2^3 x ±3^2
=> Gcf of -28, 60, 72: 2^2 = 4
Answer: 12
Step-by-step explanation:
Therefore, the highest common factor of 60 and 72 is 12.
:) I know somebody already answered but like..im answering some stuff today, hope this helped by the way!
evaluate the numerical expression
5^2/5^3
Answers
Answer:
The answer is 5⁻¹ or 1/5
Step-by-step explanation:
5²/5³
Here, we know that the base is the same i.e., 5 so, will use the property;
xᵐ ÷ xⁿ = xᵐ⁻ⁿ5² ÷ 5³
5² ⁻ ³ = 5⁻¹ = 1/5
Thus, The answer is 5⁻¹ or 1/5
For the rhombus below, find the measures
Answers
Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
what is rhombus ?A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal. A rhombus also has equal-length sides and diagonals that are at right angles to one another. The term "rhombus" can also refer to a diamond or rhombus. A rhombus has equal opposite angles. At a 90° angle, the diagonals split in half. 180 degrees is the sum of adjacent angles.
given
There is a line that passes through the parallel line; the alternate interior angles are 3 and 39.
The alternative interior angles are similar, hence Angle 3 = 39.
Since the upper left triangle is a triangle, angles 3, 4, and the center angle all add up to 180 degrees. The angle in the middle is 90 degrees. hence, we may locate angle 4.
angle 4=51.
Since Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
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Solve the proportion.
8 / 3 = g / 3
a. 1 / 8
b. 9 / 8
c. 8
d. 8 / 9
Answers
how to graph a parent function and describe the transformations it obtains?
Answers
The graph of the function f(x) = -2|x-3|+1 is attached below.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
f(x) = -2|x-3|+1
First |x-3| shows there is horizontal shift by 3 units.
Now, '+1' shows there is Vertical shift by 1 unit.
and, 2|x-3| shows there is Vertical stretch and the negative sign shows reflection over x- axis.
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please help solve this its for geometry
Answers
Answer:
Step-by-step explanation:
1.RS+ST=RT. so 9y+2+2y+7=15y-11
2.11y+9=15y-11
3.15y-11y=11+9
4.4y=20
finally we find the answer is y=5
Which expression is modeled by this set of arrows on the number line?
Answers
On solving the provided question, we can say that - here in number line we jump fron 2 to 7 as we have added +5
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
here,
we have +5
so 2+(+5) = 7
we will jump to 7 from 2
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Do the ratios 5/15 and 1/3 form a proportion?
Answers
Answer:
Step-by-step explanation:
We will check if 5/15 and 1/3 are in proportion or not by cross-multiplication.
5/15 = 1/3
5*3 = 15*1
15 = 15
as the left-hand side is equal to the right side. So, these fractions are in proportion.
What’s is the prime factorization of |-21|
Answers
The perimeter of a square room is 80 feet. How many floor tiles 1 foot square would be needed to cover the area of the room
Answers
We would require 400 square tiles, each measuring one square foot, to cover the whole surface of the square room.
If the perimeter of the room is 80 feet, we know that all four sides of the square room have the same length. To find the length of each side, we can divide the perimeter by 4: 80 feet / 4 = 20 feet.
Now that we know the length of each side of the room, we can find the area of the room by squaring that measurement: 20 feet x 20 feet = 400 square feet.
To find the number of floor tiles needed to cover the area of the room, we divide the total area of the room by the area of each tile: 400 square feet / 1 square foot/tile = 400 tiles.
So, to cover the entire area of the square room, we would need 400 square tiles of one square foot each.
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