When you graph a line using slope-intercept form, you plot the ________ first and then the ________?

Answer:

9. m<2 & m<6

10. m<3 & m<7

11. m<6 = 47°

12. m<3 = 133°

Step-by-step explanation:

9 - 10.

Both pairs follow the Same Side Interior Angles Theorem—the If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

11.

if m<6 = m<2

then m<2 = 47°

Both pairs follow the Same Side Exterior Angles Theorem—The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

12.

Base (3-Lines) 180°

if m<6 = 47°

180° - 47° = 133°

m<3 = 133°

The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x, y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Given: the Point A be (-7, -3)

After rotation, this point moves to a unique coordinate (x, y) which exists as point B

Let's say the origin is O

Slope of line segment AO = (-3-0)/(-7-0) = 3/7

Slope of line segment BO = (y - 0)/(x - 0) = y/x

Since both lines exist perpendicular to each other so

Slope AO × Slope BO = -1

3/7 × y/x = -1

⇒ 3y = -7x

If we observe the result then it will be clear that if we put x = 3 then y = -7 will be the new coordinate.

Therefore, the new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

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Answer:

9x² - 6x

Step-by-step explanation:

Answer:

9x² - 6x

Step-by-step explanation:

9514 1404 393

Answer:

  9 m

Step-by-step explanation:

The relationship between radius and circumference is ...

  C = 2πr

Daphne wants r an integer such that ...

  60 m ≥ 2πr

  r ≤ (60 m)/(2π)

  r ≤ (30/π) m ≈ 9.549 m

The largest integer radius Daphne can use is 9 meters.

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

it is impossible as when we multiply two prime numbers other than 2 we get the number odd but 3128 is an even number

Step-by-step explanation:

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Most samples of 6 adults would differ from mean by no more than 1.0

In our culture, computer equations are also employed to define the systems that truly influence the social or political reality we live in. This kind of prescriptive usage of statistical equations is described.

(a) The creation of approaches and procedures utilizing statistical as well as other mathematical treatments for the quantitative analysis of data in order to investigate political structures and behavior. Questions pertaining to probability models, probability theory, measurement, and data are included.

Here n=6

p=0.77

q=1-p=1-0.77=0.23

mean=np=6*0.77=4.62=4.6

variance=npq=6*0.77*0.23=1.0626=1.1

standard deviation=sqrt(variance)=sqrt(1.0626)= 1.030825=1.0

M = 4.6

o2 = 1.1

0= 1.0

Most samples of 6 adults would differ from  mean by no more than 1.0

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With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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(3+9) + 13 correctly rewritten using the associative property and then correctly simplified is 13+(9+3) = 13 + 12 = 25.

1. Start with the expression (3+9) + 13.

2. According to the associative property of addition, we can group the numbers in any order without changing the result.

3. Rearrange the expression by grouping the numbers differently: (9+3) + 13.

4. Now simplify the grouped numbers: 9+3 = 12.

5. The expression becomes 12 + 13.

6. Finally, simplify the addition: 12 + 13 = 25.

Therefore, the correct rewritten expression using the associative property and the simplified result is 13+(9+3) = 13 + 12 = 25.

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Answer:

Your answer for both is 31 degrees

Step-by-step explanation:

Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.

First you do

82+67 = 149

Take that answer and minus it by 180

180-149 = 31

Answer:

*Using < for angle symbol*

m<E= 61 degrees

m<G= 119 degrees

Step-by-step explanation:

Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.

Hope this helps! Have a nice day :)

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

A ∩ Bc

Step-by-step explanation:

Home constructed of brick:

Event A

Home is less than or equal to 30 years old.

Event B is: {The home is more than 30 years old}

So the event home is less than or equal to 30 years old is the negation(complement) of B. So Bc.

And:

And means intersection.

We have the intersection of events A and the complement of event B, which is represented by:

A ∩ Bc

Answer:

n^2 +24n +144

Step-by-step explanation:

(-12-n)^2

(-12-n)(-12-n)

144+12n+12n+n^2

n^2 +24n +144

i think... :)

Answer:

10x+35 please give brainliest

Step-by-step explanation:

21x+35-11x

10x+35

Answer:

if there is 34 pounds in all and 12 guests, you need to start your step by step with the multiplication of 12 x 1, 12 x 2, 12 x 3, etc.

12 x 2 is 24 and 12 x 3 is 36. 34 pounds will not feed all of the people equally, so you must reduce the amount till you can feed the 12 people. I would actually have 2.8 pounds per person. 2.8 pounds x 12 = 33.6

Step-by-step explanation:

multiply

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

Answer:

A) 17 m  B) 20.8 m

Step-by-step explanation:

I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11

26-11 = 15

I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)

AB is the hypotenuse

We can use the pythagorean theorem  to find length AB (a^2 + b^2 = c^2)

a and b is the legs which is 8 and 15

8^2 + 15^2 = AB^2

64 + 225 = AB^2

289 = AB^2

√289 = AB (to undo a square, you use square roots)

√289 = 17

AB = 17 m

Now we need to find the hypotenuse of AC

the same thing, we did for problem A, use the pythagorean theorem

17^2 + 12^2 = AC^2

289 + 144 = AC^2

433 = AC^2

√433 = AC

√433 is about 20.808...

round to the tenth as stated in the directions

AC = 20.8 m

Answer:

29 / 5 = 5.8

Step-by-step explanation:

To round a mixed number to the nearest whole number, simply look at the fraction part.

If the fraction is more than one half, round up.

If this fraction is less than one half, round down.

In the number 29 1/5, 1/5 is LESS than one half, so we round down.

In the number 4 6/7, is 6/7 is MORE than one half, so we round up.

29 1/5 rounded to the nearest whole number is 29.

4 6/7 rounded to the nearest whole number is 7.

And, 29/7 = 5.8

Therefore, the estimated quotient is 5.8.

Recall that the graph of the cosine function is:

Now, notice that the given graph is the above graph but with a midline

and amplitude equal to 4. The frequency is also different.

Therefore, the equation of the function given in the graph is:

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

43.6

Step-by-step explanation:

I hope this helps you :)

Answer:

43.59

Step-by-step explanation:

43.59 because it is

Answer:

(BD/DA) = (CE/EA)

slope is calculated using rise over run, and the ratios represent the rise over the run

Answer:

A trapezoid

Step-by-step explanation:

A trapezoid is a 4 sided figure with only one pair of parallel sides.