The equation for a line parallel to y = 3x + 2 that passes through the point (2, 1) is y = 3x - 5.
What exactly is Point Slope Form?The point slope form is used to calculate the equation of a straight line that is inclined to the x-axis at a given angle and passes through a given point.
What are the methods for solving the line equation?Depending on the information available, the equation of a line can be found using a variety of methods. Among the methods are:
Point slope formSlope-intercept formIntercept formTwo-point formThe given equation of line is y = 3x + 2.
We need to find the equation of line parallel to the given line and it passes through the point (2, 1).
Slope of line y = 3x + 2 is given as:
By comparing the given equation with y = mx + c, we can say that the slope(m) = 3
Let, a point with coordinates (x, y) be on the line parallel to given line.
Finding slope again we get,
[tex]\frac{y-1}{x-2}[/tex] = 3
y-1 = 3x - 6
∴ y = 3x - 5
As a result, a line parallel to y = 3x + 2 that passes through the point (2, 1) has the equation y = 3x - 5.
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What is the answer to 5p+10 = 8p + 1
1) In this problem, we need to isolate the variables on the left side.
[tex]\begin{gathered} 5p+10=8p+1 \\ 5p-8p=1-10 \\ -3p=-9 \\ \frac{-3p}{-3}=\frac{-9}{-3} \\ p=3 \end{gathered}[/tex]Notice that in two steps we can solve the problem.
2) Thus the answer is
[tex]p=3[/tex]I need help with this
Answer:Explanation:
Option 1: Vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
iven the parent function:
[tex]y=f(x)[/tex]If y is vertically compressed by a factor of 4, we have:
[tex]\frac{1}{4}f(x)[/tex]Next, a reflection across the x-axis will give:
[tex]-\frac{1}{4}f(x)[/tex]If the result is shifted
[tex]-\frac{1}{4}f(x-6)[/tex]Finally, a shift downwards by units gives:
[tex]g(x)=-\frac{1}{4}f(x-6)-2[/tex]Thus, the graph of g(x) is the graph of y vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
he firsyt option is correct.
Please help I’ll mark you as brainliest if correct!
Answer:
327 x 564
1648+2092+1685
190068
Step-by-step explanation:
im pretty sure that this is right. and the bold letter are the missing ones
Given the matrices A and B shown below, find – į A - B.A = [6 4] B = (-8 -11]
(Look at picture) 8th grade pre-algebra math question, super easy!
Answer:
A
Step-by-step explanation:
The multiplicative inverse property states that any number multiplied by its multiplicative inverse (also called reciprocal) results in 1.
help meeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
74.44
Step-by-step explanation:
[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]
The cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. How many plates did they use at lunch?
If the cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. The number of plates that was used at lunch is 196.
Number of plated usedGiven :
Paper plates ordered = 400 plates
Plates used for breakfast = 226
Additional plate bought = 100
Plate used for lunch = ?
Hence,
Let calculate the plate left after breakfast
Number of plates = Paper plates ordered - Plates used for breakfast
Number of plates = 400 plates - 226 plates
Number of plates = 174 plates
Now let determine the plates that were used for lunch
Pates used for lunch :
Pates used for lunch = (174 + 100) -78
Pates used for lunch = 274 -78
Pates used for lunch = 196 plates
Therefore we can conclude that the number of plates that was used at lunch is 196 plates .
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Write the number as a square. 25/169
A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width. The square number will be [tex]\frac{625}{28561}[/tex].
What is a square?A square is a common polygon with four equal sides and angles that are each 90 degrees in length.
A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
Many objects can be found in your surroundings that have a square shape. The chessboard, craft sheets, bread slice, picture frame, pizza box, wall clock, etc. are typical instances of this shape.
Specifications of a Square
It has four vertices and four sides.It has equal-length sides.Since all interior angles are equal and right angles, they are all 90° in length.360° is the total of all interior angles.Its two diagonals form a straight angle with one another.[tex](\frac{25}{169})^{2} = \frac{625}{28561}[/tex]
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Answer:
(√25/69)^2
Step-by-step expla$nation:
You might see this as cheating but technically it is the correct answer :)
Hope this helps ^^
btw is this RSM?
solve the system of the equations using the elimination or substitution method
we have
-2x+8y=-14 ------> equation A
-4x+y=-13 ------> equation B
solve the system
using the elimination method
step 1
multiply by -2 equation A
-2[-2x+8y=-14] -----> 4x-16y=28 -------> equation C
step 2
Adds equation B and equation C
-4x+y=-13
4x-16y=28
-----------------
-15y=15
solve for y
y=-1
Find the value of x
substitute the value of y in any equation
-4x+y=-13 ------> equation B
-4x+(-1)=-13
-4x=-13+1
-4x=-12
x=3
therefore the solution is
x=3 and y=-114. In the figure shown, a // b and c | d What is the value of x?
The angle x in the parallel line is 123 degrees.
How to find the angles in the parallel lines?In the diagram, l₁ and l₂ are parallel.
l₃ and l₄ are perpendicular to each other.
Since l₁ and l₂ are parallel lines, the line l₃ is a transversal that cut across the parallel lines.
Angle relationship are formed such as corresponding angles, alternate angles, vertically opposite angle etc.
Therefore,
57 + x = 180°
x = 180 - 57
Therefore,
x = 123 degrees.
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62 divided by 9531 please solve
The answer is 0.00650508866
Add 3+i and 2 - 3i geometrically in the complex plane.
The result of the addition of complex numbers 3+i and 2 - 3i will be 5-2i as the rule says "to add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts.".
What is complex number?Every complex number can be expressed in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element denoted I also known as the imaginary unit, and satisfying the equation i² = -1.
What is complex plane?The complex plane in mathematics is the plane made up of complex numbers, with real and imaginary numbers making up the x-axis (also known as the real axis) and the y-axis (also known as the imaginary axis) of the Cartesian coordinate system.
Here,
To add the complex numbers,
To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts.
(3+i)+(2-3i)=5-2i
According to the rule, "to add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts," the sum of the complex numbers 3+i and 2 - 3i will be 5-2i.
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Answer this please please
Answer:
X = 1/5
Step-by-step explanation:
16 - 10X = 14
10X = 2
X = 0.2
Answer
x=0.2
-16+10x=-14
10x=-14+16
10x=2
10x÷10=2÷10
x=0.2
I need help with this Graphs of Quadratic Functions question.
Answer: [tex]y=-((x-2)/\sqrt{2} )^{2} +4[/tex]
Step-by-step explanation:
This equation has it's parabola starting at (2,4)
So, we know that our equation will include (x-2) and +4
Next, we see the parabola is upside down, so we need a -
Next, we see the equation is wider than normal, so we need to divide x by something.
at x = -2, a normal graph would go through (0,0) , but this one goes through (0,2)
at x = -2, [tex]2^{2} =4[/tex]
but we see at x = -2, [tex]x^{2} =2[/tex]
[tex]x=\sqrt{2}[/tex]
Name the property 7x8 = 8x7
commutative property
That's what you call the property 7x8 = 8x7
commutative property!
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Point C represents √11 on number line
Define number line.A number line is a visual depiction of numbers on a straight line in mathematics. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction. A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart throughout its length. Since it's not a ruler, the distance between each number is irrelevant; instead, the numbers on the line specify how it should be used.
Given Data
Number:
√11
√11 = 3.31
Point C represents √11 on number line.
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find the measure of each angle. JKL=5x+4 and LKM=3x
Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees
How to determine the measure of each angle?The possible question is added at the end of the solution and as an attachment
From the attached figure, we have the following angles
Angle 1: Angle JKL = 5x+4Angle 2: Angle LKM = 3xFrom the attached figure, we can see that:
Angle 1 is twice the measure of angle 2
This is so because, the angle 1 is the vertex angle of an isosceles triangle
While the angle 2 is half of it
So, we have
Angle 1 = 2 * Angle 2
Substitute the known values in the above equation
So, we have
2 * 3x = 5x + 4
Evaluate the product
So, we have
6x = 5x + 4
Evaluate the like terms
x = 4
Substitute x = 4 in the equations JKL=5x+4 and LKM=3x
So, we have
JKL= 5 x 4 + 4
LKM = 3 x 4
Evaluate the equations
So, we have
JKL= 24
LKM = 12
Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively
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Carlos is baking a pie with a circumference of 56 inches. What is the area of the pie he will bake?
the area of the pie that Carol will bake will be equal to 249.51 inches².
We are given the circumference of the pie as = 56 inches.
As pie is in the shape of a circle, we will use the formula for circumference to find the radius of the circle.
2 π r = 56 inches
2 × 22 / 7 × r = 56
r = 56 × 7 / ( 22 × 2)
r = 8.91 inches.
Area of circle is given by:
π r²
Substituting the values in the formula, we get that
A = 22 / 7 (8.91)²
A = 249.51 inches²
Therefore, we get that, the area of the pie that Carol will bake will be equal to 249.51 inches².
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Determine the values of y in the equation y2 = 169. y = 84.5 y = ±84.5 y = 13 y = ±13
Answer:
y = ± 13
Step-by-step explanation:
If y² = 169 then y = √169
√169 is either +13 or -13
This is usually written using the plus/minus sign
√169 = ± 13
if you could generate energy by fusing the hydrogen in water, how much water would you need to generate the electrical energy used by 10,000 typical homes?
The volume of the solution A that we require in the fusion reaction is 3.9x10^-7 L
What is fusion?The term fusion has to do with a kind of nuclear reaction in which there is the combination of two light nuclei to have a heavier nucleus. This is the kind of process by which energy is produced in the sun.
Given that;
If we conduct fusion of hydrogen in 1 liter of solution A, the energy that i obtained is 7.6x10^10 J. Then the energy that any one of the homes could use is 3x10^4 J.
Let x be the volume of the solution A that we need. It the follows that;
x * 7.6x10^10 J = 3x10^4 J
x = 3.9x10^-7 L
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Missing parts;
if you could generate energy by fusing the hydrogen in solution a, how much of the solution would you need to generate the electrical energy used daily in a certain home? energy released by fusion of hydrogen in 1 liter of solution A = 7.6*10^10 Electrical energy used daily in a certain family home = 3*10^4
What’s the answer to this question i need help teaching my sibling
a) 10.7
b) ΔABE~ΔACD | Angle Angle Similarity
1) Analyzing that triangle, and considering they are similar we can write out the following to find x
a) If they are similar their corresponding sides are proportional, therefore we can write a pair of ratios.
[tex]\begin{gathered} \frac{x}{24}=\frac{8}{18} \\ \\ 18x=192 \\ \\ \frac{18x}{18}=\frac{192}{18} \\ \\ x\approx10.7 \end{gathered}[/tex]The smallest hypotenuse over the largest hypotenuse as well as there is a proportionality between those two corresponding legs 8 and 18.
b) In the last statement of that proof table, we can tell that the last line is well written as:
ΔABE~ΔACD | Angle Angle Similarity
The Angle Angle Similarity states that:
Note that in that table there are two instances in which there is a reference to two congruent angles.
2(3-i)(-2+ 4i) =
simplify each expression
Bill has 5 apples and 5 bananas. He can put only 5 pieces of fruit in a bowl.
Will the number of bananas be greater or less as you move down the table? How do you know?
Answer:
Varies
Step-by-step explanation:
If bill were to put 4 bananas and only 1 apple there would be more banana's then apples, but if he put more apples then bananas then it would be the greater then bananas
Question 8 (1 point)A tire manufacturer knows that 5% of tires contain a defect, and the presence of a defect is independent from tire to tire.What is the probability that if 5 tires are inspected, exactly 2 have a defect?Round to 3 decimal places.Blank 1:
ANSWER:
The probability is 0.018
STEP-BY-STEP EXPLANATION:
That 5% are defective means that 5 out of 100 tires are defective.
If 5 tires are selected, the probability that they are exactly defective is calculated as follows
[tex]\begin{gathered} P(X=k)=\frac{5Ck\cdot95C5-k}{100C5},\text{ for k = 2} \\ \end{gathered}[/tex]Now, resolving
[tex]\begin{gathered} 5C2=\frac{5!}{2!\cdot(5-2)!}=10 \\ 95C3=\frac{95!}{3!\cdot(95-3)!}=138415 \\ 100C5=\frac{100!}{5!\cdot\left(100-5\right)!}=75287520 \end{gathered}[/tex]replacing:
[tex]\begin{gathered} P(X=2)=\frac{10\cdot138415}{75287520} \\ P(X=2)=0.018 \end{gathered}[/tex]a motor oil retailer needs to fill 40 one quart bottles, and he has two tanks: one tank contains 2 gallons and the other contains 12 which will he need to fill the bottles.?
It is known that:
[tex]1\text{ quart=0.25 gallons}[/tex]Therefore, 40 quarts in gallons is:
[tex]40\times0.25=10\text{ gallons}[/tex]So to fill 40 quart bottles, atleast 10 gallons of oil will be needed.
Hence the tank of 12 gallons should be used since it has more than 10 gallons of oil.
The two gallon one does not have enough oil.
Option B that means the second option is correct.
"The 2 gallon tank is not enough ,but the 12 gallon tank is enough".
9^3 = 3x3x3x
What’s the answer
Answer: 3*3*3*3*3*3
Step-by-step explanation:
The value of 9³ = 3ˣ and x = 6
9³ = 3 x 3 x 3 x 3 x 3 x 3
9³ = 3⁶
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be A
The number A = 9³
The value of A = 729
Now , the number 9³ can be expressed as the power of 3
So , the equation will be
9³ = ( 3² )³
= 3³ˣ²
= 3⁶
= 729
Therefore , the value of 9³ = 3⁶
Hence , The value of 9³ = 3ˣ and x = 6
9³ = 3 x 3 x 3 x 3 x 3 x 3
9³ = 3⁶
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PLEASE HELP ME LIKE FOR REL I NEEED HELLLP
The x and y intercepts of the given graph of the function are 3/2 and -1 respectively.
Intercepts of the line
The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.
Given equation of the line:
y = (2/3)x - 1
To find the y -intercept, putting x = 0, we get,
y = (2/3)*0 - 1
y = 0 - 1
y = -1
Hence, the y - intercept is -1.
To find the x -intercept, putting y = 0, we get,
0 = (2/3)x - 1
1 = (2/3)x
x = 3/2
Hence, the x - intercept is 3/2.
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In preparation for Thanksgiving dinner Miss Waters orders in 18 pound turkey she decide that this will be enough to feed eight people how many pounds of turkey is she planning per person
Solve the following quadratic equation by using the quadratic formula. -2x^2+7x-4=0
Answer: X1= 7 - sqrt{17} over 4
X2= 7 + sqrt{17} over 4
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle. The diagram is not drawn to scale.
answer today plsssss
The evaluated value of x from the line geometry given is 36.
Lines and anglesAn angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.
Take the sum to have
x + 3x + x = 180
Simplify
4x + x = 180
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
Hence the value of x from the diagram is 36
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