What is the minimum value for the function shown in the graph?

Step-by-step explanation:

P(x,y)=(1,-3)

line is perpendicular to x=2 which shows that line is parallel to x-axis.

angle=0°

m=tan(angle)

m=tan0°

m=0

By using point slope form:

y+3=0(x-1)

y+3=0

it will take 26 minutes to flush the line at 25 gpm

6. Using Pythagoras Theorem the value of x = 99. 7, The value of x is 102.56. 8. The triangle is a right triangle. 9. The triangle is acute. 10. The triangle is acute. 11. The value of x is 32.28. 12. The value of x is 40.

The relationship between the sides of a right triangle is explained by the Pythagorean theorem, a fundamental mathematical theorem. The square of the hypotenuse's length, the longest side in a right triangle, is said to be equal to the sum of the squares of the lengths of the other two sides.

6. For a = 20, b = 99 using the Pythagoras Theorem we have:

x² = a² + b²

x² = 20² + 99²

x² = 9801

x = 99

7. For a = 60, b = 91 we have:

x² = 60² + 91²

x² = 10521

x ≈ 102.56

8. To determine whether the triangle is acute, obtuse, or right we check for using the Pythagoras Theorem.

a = 20, b = 21, and c = 29

Here,

20² + 21² = 841

29² = 841

Hence, the triangle is right.

9. For a = 15, b = 19, and c = 24. We have:

15² + 19² = 556

24² = 576

The triangle is acute.

10. For a = 11, b = 23, and c = 26. We have:

11² + 23² = 650

26² = 676

The triangle is acute.

11. Using the Pythagoras Theorem we have:

x² = 53² - 45²

x² = 1044

x ≈ 32.28

The value of x is 32.28

12. x² = 41² - 9²

x² = 1600

x = 40

The value of x is 40.

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Answer:

Step-by-step explanation:

Answer:

i dont know the answer

Answer:

The perimeter is 52 cm

Step-by-step explanation:

Just add all the sides together.

15 + 3 + 5 + 11 + 8 + 10

To find the missing sides, just subtract 15 - 5

To find the other missing side, just subtract 11 - 3

Answer:

Step-by-step explanation:

The first thing you need to do is calculate the unknown lengths. Then, add to get the perimeter. This will be easier on paper so let me attach the solution. Hope this helps!

The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.

To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.

The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.

To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.

So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).

Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)

Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.

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Let x be the cost of adult ticket and y be the cost of child ticket

2x + 4y = 210 ---------------------------------(1)

3x + 2y = 375 -----------------------------(2)

we can now solve equation (1) and (2) simultaneously

multiply through equation (1) by 3 and then through equation 2 by 2

6x + 12y = 630 ---------------------------(3)

6x + 4y = 750 ----------------------------(4)

equation (3) - equation (4)

8y = -120

y = -15

substitute y = -15 into equation (1) and then solve for x

2x + 4(-15) = 210

2x - 60 = 210

Add 60 to bot-side of the equation

2x = 270

Divide both-side of the equation by 2

x = 135

Hence the cost of one adult tickets cost $135

Answer:

d = 23.345235

Step-by-step explanation:

Answer:

x≤20

Step-by-step explanation:

He spent no more than $20 so it is 20 or less.

Answer:

  (2, -8)

Step-by-step explanation:

The components of the vector are ...

  (units right, units up)

The image is 2 units to the right and 8 units down from the original, so the translation vector is ...

  (2, -8)

Answer:

(2,-8)

Step-by-step explanation:

(units right, units up)

Answer:

Step-by-step explanation:

Inscribed angle of diameter is 90°

⇒ ∠ACB = 90°

In ΔACB,

∠A + ∠ B + ∠ACB = 180°   {Angle sum property of triangle}

a + 4a + 90 = 180

      5a + 90 = 180

           5a    = 180 - 90

            5a = 90

              a = 90 ÷ 5

a = 19 -----------(I)

In ΔCOB,

OC = OB   {Radius}

⇒ΔCOB is an isosceles triangle.

c = 4a    {angles opposite to equal angles are conguent}

c = 4*19    {From (I)}

c= 76

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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The correct answer is "Oy-axis" as it represents the line of reflection for triangle DEF to triangle D'EF.

To determine the line of reflection that maps triangle DEF to triangle D'EF, we can examine the coordinates of the corresponding vertices.

Given that E' is located at (10, 4) and the corresponding vertex E in triangle DEF is at (-10, 4), we can observe that the x-coordinate of E' is the negation of the x-coordinate of E.

This suggests that the line of reflection is the y-axis. A reflection across the y-axis results in a transformation where the x-coordinate of each point is negated while the y-coordinate remains the same.

Since "Oy-axis" indicates the line of reflection from triangle DEF to triangle D'EF, it is the appropriate response.

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Answer:

27

Step-by-step explanation:

4^3 is 4*4*4 which is 64

3/4^3 is 3/4*3/4*3/4 which is 27/64

then divide 64 ÷ 27/64

you can cross cancel 64 and get 27.

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

The t-test statistic is \(t = -0.697\)

Step-by-step explanation:

The test statistic is:

\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the expected mean, \(\sigma\) is the standard deviation and n is the size of the sample.

The sample standard deviation is 7.309.

This means that \(\sigma = 7.309\)

Adam reads that the average speed that cars drive on the highway is 65 mph.

This means that \(\mu = 65\)

60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.

8 values, so \(n = 8\)

The sample mean is:

\(X = \frac{60.5 + 63.2 + 54.7 + 51.6 + 72.3 + 70.7 + 67.2 + 65.4}{8} = 63.2\)

Test statistic:

\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(t = \frac{63.2 - 65}{\frac{7.309}{\sqrt{8}}}\)

\(t = -0.697\)

The t-test statistic is \(t = -0.697\)

1.- Get rid of the parenthesis

3 + 2(3x - 2)

3 + 6x - 4

2.- Simplify like terms.

In this expression, like terms are only 3 and -4

(3 - 4) + 6x

-1 + 6x

3.- Write the result

6x - 1

The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:

1296

Step-by-step explanation:

We know that there are a total of four different flower types we can select for the remaining half dozen (which is 6) flowers in the bouquet. We know each flower has 4 different selections, so there are \(6^{4}\) = 1296 ways to create a bouquet.

Anica has 13 stuffed animals, and each box holds 5 animals.

How many boxes does Anica completely fill?

We can completely fill 2 boxes of 5 stuffed animals

A total of 10 stuffed animals are packed

How many animals are left?

The remaining animals would then be the subtraction of 13 - 10

13 animals in total and 10 packed

There are 3 animals left outside

Answer:

\(x=\frac{\pi }{4}\)

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

\(x=\frac{\pi }{2}\)

but we want to sin(2x) = 1/2 so we make it.

\(\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}\)

a) The linear functions each cell phone provider are given as follows:

The graph with these functions is given by the image shown at the end of the answer.

b) The cheaper companies are given as follows:

The linear functions in this problem are defined in slope-intercept format as follows:

y = mx + b.

In which the coefficients and their meaning are given as follows:

Hence the cost functions for this problem are given as follows:

The functions intersect at x = 6.67, hence the cheaper plans are given as follows:

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