The equation for line p can be written as y= 9 7 x–9. Line q is perpendicular to line p and passes through (9, – 6). What is the equation of line q?

A positive and negative angle that are coterminal to angle 2π / 7 are 16π / 7 and - 12π / 7, respectively.

Two consecutive angles are coterminal if and only if the difference between their measures equals 2π radians. Given an angle θ, then the family of coterminal angles can be derived from following equation:

θ' = θ + 2π · i, where i is an integer.

Where θ' is a coterminal angle, in radians.

First, determine a positive coterminal angle: (i = 1)

θ' = 2π / 7 + 2π

θ' = 16π / 7

Second, determine a negative co-terminal angle: (i = - 1)

θ' = 2π / 7 - 2π

θ' = - 12π / 7

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Since division by zero is not defined, 1/0 is not infinity, and 0/0 is not indeterminate.

We must keep in mind that, except in the case of limitations, the value of 1 divided by 0 is infinite. The phrase "infinity" denotes the size of the number. When it comes to limits, we merely presume that limit x's value tends toward something rather than being equal to anything. We thus treat it as infinite.

Since it is not a real number, infinity is only used to symbolise extraordinarily big real numbers. The result of 1 divided by infinity is 0. The quotient of nonzero real numbers that divide infinity is infinity, and the rule of thumb is that any real number divided by infinity is zero.

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Answer: 900

Step-by-step explanation:

Add 150 + 250 + 50 = 450 .

After 450 * 2 = 900

The slope of points with same y coordinate but a different x coordinate is 0

this is because change in y is zero

The slope, m of the linear function is calculated using the formula

= change in y / change in x

This is represented mathematically as

m = (y₀ - y₁) / (x₀ - x₁)

In this case change in y is zero since it is same point

y₀ = y₁

And when a number in the numerator is zero the division will result to a quotient of zero and hence the line is a horizontal line

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In maths, equivalent is different from equality. The same means the same in all respects, but equivalent means similar but not identical.

Equivalent generally refers to two numbers, terms, or expressions that have the same value. There are many ways to express equivalent quantities.

Equivalent formulas : Two formulas are said to be equivalent if they give the same result when solved. For example, suppose the number 2 is equivalent to 1 + 1.

Equivalent Fractions: Two fractions are equivalent if they represent the same value, proportion, or amount. Equivalent fractions are present with different numerators and denominators. Example: 2/5 = 4/10 = 6/15.

Equivalence ratio: An equivalence ratio is a ratio that can express a similarity between numbers or values. They are similar in proportion and have the same value. For example, 1:3 and 2:6 are equivalent ratios.

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Yes, it is possible to draw a triangle.

This will be done by the property: the sum of two sides of a triangle should be more than the third side.

(5cm + 9cm) =10 cm

14 cm = 10 cm

LHS>RHS

A triangle is possible.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.

In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.

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Answer:

Complementary Angles, Supplementary Angles, Adjacent Angles, Linear Pair, and vertical Angles.

Step-by-step explanation:

Answer:
1. y = 1/4x-1 or y = 0.25x-1

Step-by-step explanation: Hello! You can do this by using the slope-intercept equation.  The slope-intercept formula is y = mx+b.  You have the x and y coordinates already, which is all you need to solve the equation.  m = slope, b = y-coordinate in the formula y = mx+b.  The first thing you have to do is find the slope.  To find the slope, use the formula (y2 - y1)/(x2-x1).  The y-coordinates are the second numbers in the coordinate pairs, and the x-coordinates are the first numbers in the coordinate pairs.  Put the information in the formula.  You now have: (0 - (-2))/(4 - (-4)).  Two negatives make a positive, so you can simplify this equation by writing (0 + 2)/(4 + 4).  Add both equations.  You now have 2/8.  You can simplify this even more by dividing the numerator and denominator by 2.  2/8 divided by 2/2 = 1/4.  You now know the slope is 1/4.  

The next thing you have to do is use the point-slope formula.  The point-slope formula is y - y1 = m(x - x1).  m = slope, so put the slope you know (1/4) in the equation.  y - y1 = 1/4(x - x1).  You also know that y1 = -2 and x1 = -4 from the given coordinate pairs.  Fill this information in.  
y - (-2) = 1/4(x - (-4)).  Two negatives make a positive, so you can simplify this into: y + 2 = 1/4(x + 4).  Distribute 1/4 to x and -4.  1/4 x x = 1/4x, and 1/4 x 4 = 1.  You now have y + 2 = 1/4x + 1.  Subtract 2 from both sides.  y + 2 - 2 = 1/4x + 1 - 2. You now have y = 1/4x-1.  This is in the format y = mx+b, which is what you are supposed to do.  The answer for question 1. is y = 1/4x-1.  Hope this helps you with the rest of the problems! If you still need help after this, I can teach you how to do the second question as well.

Answer:

18.19

Step-by-step explanation:

15% of 20 = 3

20 - 3 = 17

7% of 17 = 1.19

17 + 1.19 = 18.19

a. The integral to determine the area enclosed by the inner loop is:

A = ∫0^2π2+4sin(θ)dθ

This integral can be solved using the substitution u = 4sin(θ). This will give us the following integral:

A = ∫0^2π2 + udu

Next, we apply the power rule to the integral and solve for A.

A = 2θ + (u^2)/2 | 0^2π

A = 2θ + (4sin(θ)^2)/2 | 0^2π

A = 2π + 4[1 - cos(2θ)]/2 | 0^2π

A = 2π + 2 - cos(2π)

A = 4π - 1

b. To find the area between the loops, we can use the following integral:

A = ∫2^4π2+4sin(θ)dθ

Using the same substitution, we have:

A = ∫2^4π2 + udu

A = 2θ + (u^2)/2 | 2^4π

A = 2θ + (4sin(θ)^2)/2 | 2^4π

A = 2π + 4[1 - cos(2θ)]/2 | 2^4π

A = 2π + 2 - cos(4π)

A = 4π + 1

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The Area of the rectangle is (40x²+ 49x + 15)cm²

The area of a rectangle in geometry is the region covered by the rectangle in a two-dimensional plane.  The area of the rectangle is the region occupied by a rectangle within its four sides or boundaries.

A rectangle is a sort of quadrilateral, a two-dimensional object with four sides and four vertices. The rectangle's four angles are all right angles or equal to 90 degrees. The rectangle's opposite sides are equal and parallel to one other.

Given that,

Length of rectangle=(8x+5)cm

Breadth of rectangle=(5x+3)cm

Area of rectangle=Length×Breadth

Area of rectangle=(8x+5)(5x+3) = (40x²+ 49x + 15)cm²

Therefore, the Area of the rectangle is (40x²+ 49x + 15)cm²

Correct question: A rectangle is (8x+5)cm long and (5x+3)cm broad.

Find its area or perimeter.

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Answer: 41

Step-by-step explanation: please someone tell me is 49 or 48 because I think. It looks like 48.

90 - 48 = 41

The interior angle measurement of a regular polygon with 42 sides is 150 degrees.

The interior angle measure of a regular polygon is determined by the formula (n-2)*180/n, where n is the number of sides of the polygon. In the case of a regular polygon with 42 sides, this formula can be expressed as (42-2)*180/42, which simplifies to 150 degrees. Therefore, the interior angle measure of a regular polygon with 42 sides is 150 degrees. This means that each interior angle of the polygon is 150 degrees. The exterior angle measure of a regular polygon with 42 sides would be 10 degrees, which can be calculated by subtracting the interior angle measure from 180 degrees. Knowing the angle measure of both the interior and exterior angles of a regular polygon with 42 sides is useful for a variety of applications, such as modeling or designing.

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The fraction of the fruit that Kri that is   [tex]\frac{3}{32}[/tex]. To find the fraction, you have to determine the value of the total data.

As per data given are banana = 10 and apple = 22. We will determine the fraction that Kri take by sum up the fruit and then determine the fraction where the maths as follow:

Total fruit = banana + apple

Total fruit = 10 + 22

Total fruit = 32

Then find Kri fraction as follow

Kri fraction = Kri fruit : total fruit

Kri fraction = 3 : 32 = [tex]\frac{3}{32}[/tex]

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Answer: 3 , 1 1/2

Step-by-step explanation:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x

=

3

,

3

2

Decimal Form:

x

=

3

,

1.5

Mixed Number Form:

x

=

3

,

1

1

2

Answer:

5/10

Step-by-step explanation:

hi I atleast have. to have 20 characters so yeah

Answer: 5 tenths

Step by steps:

The initial height of the anchor is 75 meters.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, A big ship drops its anchor. The variable "l" models the anchor's elevation (in meters) relative to the water's surface "t" seconds after the ship drops its anchor.

l=-2.4t + 75

The initial Height of the anchor will be measured at t = 0

Thus,

the value of l at t = 0

l(0) = -2.4*0 + 75

l(0) = 75

Therefore, the Height of the anchor initially is 75 meters.

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Step-by-step explanation:

58 = 2(l+b)

58 = 2(x+x)+5

58 = 2x + 5

2x = 58-5

2x = 53

x = 53/2

x = 26.5

So, length = 26.5 + 5 = 31.5

Hence, the length and breadth are 31.5 and 26.5 respectively.

The process of inverse the function is  f⁻¹(x) = x/2.

In math the term function is known as a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Here we have to explain the process of solve inverse functions with examples.

While we take the function for examples as

f(x) = 2x.

Now, we have to do the following steps to identify the inverse of the function,

Here the first steps is to replace f(x) by y in the equation describing the function, then we get

=>  y = 2x

Now, we have to interchange x and y in a simple terms now we have to replace replace every x by a y and vice versa, then we get,

=> x = 2y

Then the next step is to Solve for y, here we get

=> y = x/2

Finally replace y by f⁻¹(x)

Therefore, the inverse of the function is

=> f⁻¹(x) = x/2.

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The volume of a cube that has an edge length of 6 inches is 216 inches cubed.

The formula for the volume of a cube is V = s^3, where s is the length of one of the edges of the cube.

In this case, the edge length of the cube is given as 6 inches. To find the volume, we can substitute that value into the formula:

V = 6^3 = 216

Key points:

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150

The median is where the line inside the box sits.  That's the halfway point between all of the data.  (Halfway in terms of "if you line everything up and it's the data point in the middle.")

The adjacent angle to ∠PSL is ∠KRM which is ∠2

what is adjacent angle?

Adjacent angles are two angles that share a common vertex and have a common side (or arm) but no common interior points. They are side by side angles and are next to each other. They are not always congruent but they share a common side, usually represented by a line. They can be acute, obtuse or right angles. They can also be complementary angles, meaning they add up to 90 degrees. For example, in a rectangle, the angles across from each other are called adjacent angles, they are both right angles.

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The true statement is "No, you cannot prove that the two right triangles are congruent with the information given."

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

As a general rule, congruent triangles would have same dimensions and angles

In the scenario, we understand that Sidewalk B and Sidewalk A form a right angle.

This and the other information does not provide information to determine the congruency because the lengths of the sides of either triangle or the angles are missing.

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[tex]g(x) = 4x^2 + 3x[/tex]

So, [tex]g(x+a) = 4(x+a)^2 + 3(x+a)[/tex], since we're just substituting (x+a) for x.

If we clean that up a bit,

    [tex]\begin{aligned}g(x+a) &= 4(x+a)^2 + 3(x+a)\\[0.5em] &= 4(x^2+2xa+a^2) + 3x+3a\\[0.5em] &= 4x^2+8xa+4a^2 + 3x+3a\end{aligned}[/tex]

Now putting this all together:

    [tex]\begin{aligned}g(x+a)-g(x) &= ( 4x^2+8xa+4a^2 + 3x+3a) - (4x^2+3x)\\[0.5em] &= 4x^2+8xa+4a^2 + 3x+3a - 4x^2-3x\\[0.5em]&= 8xa+4a^2 +3a\end{aligned}[/tex]

Remember that [tex](x+a)^2 = (x+a)(x+a) = x^2+2xa+a^2[/tex]

The jam recipe that has more strawberry flavor is Recipe A.

In order to determine which recipe has more strawberry flavor, determine how many cups of strawberry is needed for one cup of sugar. In order to do this, divide the cups of strawberry by the cups of sugar.

Cups of strawberry needed for one cup of sugar = cups of strawberry / cups of sugar

Cups of strawberry needed for one cup of sugar in recipe A = 3 ÷ 1/2

3 x 2 = 6  

Cups of strawberry needed for one cup of sugar in recipe B = 5 ÷ 1 = 5

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The steps for dividing the 3 digit numbers by 3 digit numbers is solved with the help of multiplication and subtraction.

The process of division is defined as  the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Here we need to find the way to divide 3 digit numbers by 3 digit numbers.

The steps to solve the given division is written as,

The first steps is to take the first digit of the dividend from the left and then we have to  check if this digit is greater than or equal to the divisor.

Now then we have to divide it by the divisor and write the answer on top as the quotient.

Then we have to do the subtract operation the result from the digit and write the difference below.

Then the final steps is to bring down the next digit of the dividend and this process is repeated until we get the remainder as zero.

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The two triangles in this problem are similar, and the reason for their similarity is given as follows: AA.

Similar triangles are triangle that share these following two features:

The two right triangles in this problem are similar, as they have two common angle measures, given as follows:

As the angles have two common angle measures, the reason is given as follows:

AA.

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