Are these lines parallel?
y = (-1/2)x + 1
y = (1/2)x - 5

Answer:

x = -2/3

Step-by-step explanation:

y = 2x

3x - 3y = 2

3x - 3(2x) = 2

3x - 6x = 2

-3x = 2

x = -2/3

Answer:

 =  1.6

Unless you meant to clarify what in the equation you needed, but that is the answer to it.

Answer:

13,65,117

Step-by-step explanation:

65-13=52

52+65=117

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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We know that the we can calculate the amount of the total amount of money in the bank, A, is given by the formula

where

P = Principal investment amount

r = the annual interest rate

n = the number of times that interest is compounded per year

t = the time the money is invested or borrowed for

We know that

A = $10,000

P = ?

r = 7/100 = 0.07

n = 4

t = 8 years

We replace those values in the equation

Since the Principal investment amount is $5,739.82 is the money she put in the bank, then she earn $10,000 - $5,739.82 = $4,260.18

Answer:

(x+1) (x+6)/(x+7) (x+8)

X+1=0 so x=-1 and -6 respectively on the

x+7=0 so x=-7 and -8 in the

1denominator

Step-by-step explanation:

answer x<-1 and x<-6/

x<-7 x<

The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

I think true.

Step-by-step explanation:

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

Step-by-step explanation:

Moon- 109 / 4

Saturn- 59 / 1 , 177 / 3

Venus- 243 / 1 , 729 / 3

Answer:

Moon : 27.3/1

109.2/4

218/8

Saturn : 59/1

177/3

295/5

Venus : 243/1

486/2

729/3

Step-by-step explanation:

Hope this helps

By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

What is the parallel lines?

Parallel lines are two lines in a plane that never intersect.

1. Orientation of Lines:

Parallel lines are lines that never intersect and remain equidistant from each other at all points.

When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.

On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.

2. Tools/Methods Used:

Constructing parallel lines and constructing perpendicular lines may require different tools or methods.

To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.

Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

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The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

The cheryl makes a profit of $22.5

Define profit?

The amount gained after selling a product with a selling price higher than its cost price is called the profit . It is denoted by P.

Profit (P) = Selling price (SP) – Cost price (CP)

Given :

cost price = $12.43

selling price = $35.00

TO FIND : Profit

Profit = selling price - cost price

         = $35.00 - $12.43

         = $22.57

Therefore, the Cheryl makes a profit of $22.57

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The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

20.243. (Rounded to the nearest hundredths)

Step-by-step explanation:

75 ÷ 3.705 = 20.24291498

Answer:

Step-by-step explanation:

So, here are some examples: 56 is equivalent to 1012 because 5 x 12 = 6 x 10 = 60. 1518 is equivalent to 1012 because 15 x 12 = 18 x 10 = 180. 2024 is equivalent to 1012 because 20 x 12 = 24 x 10 = 240.

The inverse function of f(x) is given as follows:

\(f^{-1}(x) = \sqrt{x}\)

The function f(x) graphed in this problem is given as follows:

f(x) = x².

Using the notation y = f(x), we have that:

y = x².

To obtain the inverse, first we exchange y and x, hence:

x = y².

Finally, we must isolate the variable y, hence:

\(y = \pm \sqrt{x}\)

\(y = \sqrt{x}\) -> we take only the positive and the domain is the non-negative numbers.

Hence the inverse function is:

\(f^{-1}(x) = \sqrt{x}\)

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the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.

A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.

by the question.

The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.

To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:

d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)

Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).

To find the x-coordinate of the point we're looking for, we can use the formula:

x = (distance from V to point we're looking for)/ (total distance) * x

coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.

Substituting the values, we found:

x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08

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An unbiased statistic is one in which the average value of the statistic is equal to the population parameter. Hence, option d is the correct answer.

When a statistic does not overestimate or underestimate a population parameter, it is considered to be an unbiased estimator. To put it another way, a value is considered unbiased if it accurately represents the value of a certain parameter. There are various factors that can affect how biassed a statistic from a specific sample is. The possibility of bias can rise depending on the sample methods utilised.

According to the definition of the unbiased estimator we know that an unbiased statistic is one in which the average value of the statistic is equal to the population parameter.

Hence, option d is the correct answer.

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Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

The inequality that describes the possible value of x is

The triangles described gave the information to form the inequality equation

from the description it can be deduced that

m< bca = m< dce vertical angles

since side 12 is greater than 10 then m< bac > m< dec

therefore 50 > 5x - 10

solving for x

50 > 5x - 10

50 + 10 > 5x

60 > 5x

x < 12

therefore 2 < x < 12 is the inequality that represents x

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Answer:

x=-1, y=-1. (-1, -1).

Step-by-step explanation:

y=6x+5

5x-4y=-1

-----------------

5x-4(6x+5)=-1

5x-24x-20=-1

-19x-20=-1

-19x=-1+20

-19x=19

x=19/-19

x=-1

y=6(-1)+5

y=-6+5

y=-1

Answer:

y = -3

y = 11

Step-by-step explanation:

\(y = \sqrt{x} -7\) where x = 16

\(y = \sqrt{16} -7\\\)

y = 4 - 7

y = -3

y = 4 + I9 - xI    where x = 16

y = 4 + I9 - 16I  

y = 4 + I- 7I  

y = 4 + 7

y= 11

Answer: -3 and 11

Step-by-step explanation:

y
= root(x)-7
= root(16) -7
= 4-7
= -3

y
= 4+modulus (9- x)
= 4+modulus (9-16)
= 4+modulus(-7)
= 4+ 7
= 11

Answer:

10 pounds of potatoes would cost $15.

Step-by-step explanation:

Set up proportion.

4/6=10/x

simplify 4/6 into 2/3,

2/3=10/x

cross product,

2*x=3*10

2x=30

x=30/2

x=15

lemme just add some to the great reply above,

\(\begin{array}{ccll} lbs&\$\\ \cline{1-2} 4&6\\ 10&x \end{array}\implies \cfrac{4}{10}=\cfrac{6}{x}\implies 4x = 60\implies x = \cfrac{60}{4}\implies x = 15\)