2y-11 7-4y find the value of y

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

The correct answer is (6x+8)^2.

To factor the expression, we can use the perfect square pattern. The perfect square pattern states that a binomial of the form a^2 + 2ab + b^2 can be factored as (a+b)^2.

In this case, we have a=6x and b=8. So, we can factor the expression as follows:

```

36x^2 + 96x + 64 = (6x)^2 + 2(6x)(8) + (8)^2

= (6x + 8)^2

```

Answer:

He was there for 8 hours.

Step-by-step explanation:

9514 1404 393

Answer:

  2√13

Step-by-step explanation:

The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52

  d = 2√13

The radius of the circle is 2√13.

bro i read it wrong that's my bad hold on ill get the right one rq

Answer:

The answer is 8

Step-by-step explanation:

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A segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .

Given :

given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .

You are asked to construct P such that :

PB / AP = AP / AB

This ratio is the reciprocal of the Golden Ratio.

( AP )^2 = PB * AB

( AP )^2 = PB * ( AP + BP )

( AP )^2 = PB ( AP ) + ( BP )^2

Divide by PB^2 on both sides

ф^2 = ф + 1

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Answer: \(2+i5,\ 29\)

Step-by-step explanation:

Given

Complex number is \(2-i5\)

Its conjugate is obtained by changing the sign of the original number i.e. \(2+i5\)

The product of the two numbers is

\(\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29\)

Check the picture below.

so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.

\(\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill\)

Answer:

69

Step-by-step explanation:

xvusvsuvtuvqYSQY

The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.

To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:

average rate of change = (change in output)/(change in input)

where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.

For the function g(x), let's assume we have the following values:

g(1) = 3

g(1.5) = 4

g(2) = 6

g(1+h) = 3h + 1

Then we can calculate the average rate of change over the intervals as follows:

[1, 2]:

change in output = g(2) - g(1) = 6 - 3 = 3

change in input = 2 - 1 = 1

average rate of change = (change in output)/(change in input) = 3/1 = 3

[1, 1.5]:

change in output = g(1.5) - g(1) = 4 - 3 = 1

change in input = 1.5 - 1 = 0.5

average rate of change = (change in output)/(change in input) = 1/0.5 = 2

[1, 1+h):

change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2

change in input = 1+h - 1 = h

average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h

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Answer:

f(n)= -40.

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

I think it’s 10

Answer:

See below.

Step-by-step explanation:

Gertrude is correct. Any angle can have one line of symmetry going directly down the center of the angle, intercepting at the angles point. Emmet is incorrect because not only polygons can have lines of symmetry. A circle, square, rhombus, etc. can have lines of symmetry.

Answer:

Step-by-step explanation:

slope-intercept equation for line of slope -5/2 and y-intercept -2:

y = (-5/2)x-2

put into standard form:

(5/2)x + y = -2

5x + 2y = -4

Answer:

B. -5x-2y=4

Step-by-step explanation:

if im wrong sorry have a good day

Answer:

18xy

Step-by-step explanation:

Just multiply the coefficients and then put both the variables at the end.

Answer:

No Solution

Step-by-step explanation:

| −2n | + 10 = −50

Subtract 10 on both sides

|-2n|+10-10=-50-10

Simplify

|-2n=|=-60

No Solution

Given that

4 is added to twice a number

The result when one number is added to another is called "Addition"

Let the number be x

Twice the number, x, is

4 is added to twice a number, x, can be expressed below as

Hence, the algebraic expression of "4 is added to twice a number, x", is 2x+4

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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The expression for the length of one side of the square is 4x + 8y.

A square is simply a geometric shape with four equal sides and four right angles.

The perimeter of a sqaure is expressed as:

P = 4s

Where "4s" represents the sum of all four sides of the square, since all sides of a square are equal in length.

Given that:

Perimeter P = 16x + 32y

Then plug into:

P = 4s

16x + 32y = 4s

To find an expression for s, we can divide both sides by 4:

4s = 16x + 32y

4s/4 = 16x/4 + 32y/4

s = 4x + 8y

Therefore, one side of the square is 4x + 8y.

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Answer:

1244 DCD

Step-by-step explanation:

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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Answer:

4

Step-by-step explanation:

substitute the given coordinates of J(3-6) and K(-1,-6) into the distance formula:

=> d = \(\sqrt{(-1-3)^{2} + (-6 + 6)^{2}}\)

=> d = \(\sqrt{16 + 0}\)

=> d = 4

Answer:

1

Step-by-step explanation:

Simplify 3/9 by 3 -> 1/3

Now that both fractions have the same denominator, you can add them.

1/3 + 2/3 = 3/3 or 1

Answer:

Step-by-step explanation:

Took the test with a guess so I got them all wrong, here's the answers though.

The completed statement on the equation of the circular dartboard is therefore;

The equation of a circle that represents the dartboard is (x - 12)² + (y - 17/3)² = 9/16 where the origin is the lower left corner of the room and the unit of the radius is feet.

The position of Brian's dart is represented by the coordinates (11.5, 5.5). Brian's dart does land on the dartboard.

The equation of the circle in standard form is; (x - h)² + (y - k)² = r².

The height of the bull's eye = 5 feet 8 inches

The diameter of a standard dartboard = 18 inches

Location of the bull's eye = 12 feet from the left wall

Location where the dart lands = 11.5 feet from the left wall

Height above the floor the dart lands = 5 feet

The location of the center of the circle, (h, k) = (12, 17/3)

The radius of the dart board = 18 inches/2 = 9 inches

12 inches = 1 ft

1 inch = 1/12 ft

9 inches = 9/12 ft = (3/4) ft.

The radius of the circle, r = (3/4) ft.

The equation of the circle = (x - 12)² + (y - 17/3)² = (3/4)²

The unit of the radius is in feet.

The position of Brian's dart is represented by the coordinates (11.5, 5)

Plugging in the value of the coordinates of the point Brian's dart lands, we get;

(11.5 - 12)² + (5.5 - 17/3)² = 0.2\(\overline 7\) < (3/4)²

Therefore, Brian's dart lands on the dart board

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