Find the measures of HAB and CAB.

Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

Answer:

-2.3 to 2.9

Step-by-step explanation:

The range is kinda self explanatory, range is the space between the lowest value and the greatest value. You can solve it by subtracting 2.9 - (-2.3)

Hope that helps and have a great day!

Answer:

30.9717685346

Step-by-step explanation:

Answer:

M<E = 62°

Step-by-step explanation:

Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...

(8x-34)°= (5x+2)°

if you drop the parenthesis, you get

8x-34= 5x+2

Then you just solve and simplify it

3x= 36 ----> x= 12

Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°

8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)

5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)

I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.

If a window in the model is 1.5 in. wide, then the actual window is  7.5 feet wide.

A two-term ratio expressed with a second term of one is referred to as a unit ratio. A unit ratio can be created from any ratio. Example. An illustration of a set of marbles is shown below. The set has eight blue marbles and two red marbles.

Having a denominator of 1, a unit rate is a ratio between two separate units. Divide the numerator by the denominator to obtain the unit rate. The unit rate is the decimal number that results. The price of a good or service is the numerator of a ratio called the unit price, and the quantity is the denominator.

Given,

The scale of the Model =5 in: 25 ft.

Dividing both sides by 5 we get,

\(\frac{5in}{5}\) :\(\frac{25ft}{5}\)

1 inch:5 feet

If a window on the model is 1.5 inch wide, then from the unit ratio we get,

1 inch × 1.5 : 5 feet × 1.5 feet

1.5 Inch : 7.5 feet

As a result, a window that is 1.5 inches wide in the model will actually be 7.5 feet wide.

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The lines that are the image of line m by a dilation should be parallel to line m.

Hence, the lines that are the dilations of line m are line n and line p.

Option C and E are the correct answers.

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

should be complementary angles

Answer:

Step-by-step explanation:

Wow, that is a lot. You got to give me a brainliest ! Lol

1) 9²+12²=x², x=15

2)10²+24²=x², x=26

3)3²+7²=x², x=7.6

4)6²+x²=10², x=8

5)x²+6²=24², x=23.2

6)1²+1²=x², x=1.4

7)x²+8²=21², x=19.4

8)x²+24²=30², x=18

9)5²+9²=x², x=10.3

Answer:

i dont know the answer

\

Step-by-step explanation:

Step-by-step explanation:

Let the distance points A = (5,-2) and B = (-2,12)

Distance between AB = √[(x2-x1)²+(y2-y1)²]

Here, x1 = 5, y1 = -2

x2 = -2 , y2 = 12

Now,

Put all the values in distance formulae:

AB = √[(-2-5)²+{12-(-2)}²]

= √[(-7)²+(14)²]

= √[(-7*-7)+(14*14)]

= √[49 + 196]

= √[245] = 15.65 Units. Approximately.

Answer:- Hence, the distance between two points A(5, -2) and B(-2, 12) is 15.65 Units approximately.

Answer:

1. true

2. false

3. true or false

The equation is 6.75x = 5.875y

The price will be the same for 47 Go Golf games and 54 Golf Games

Go Golf charges for the ball and club rental = $2.50

Go Golf charges per game = $4.25

Total charges for Go Golf for one game = $6.75

Golf Games charges for the ball and club rental = $3.25

Golf Games charges for two games = $8.50

Total charges for Golf Game for two games = $11.75

Per game charges = $11.75/2 = $5.875

Let x be the number of games for Go Golf and y be the number of games for Golf Games

Formulating the equation we get:

6.75x = 5.875y

Converting into fractions we get:

675/100x = 5875/1000y

27/4x = 47/8y

After cross multiplication

x/y = 57/48

x = 57 and y = 48

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Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

107

Step-by-step explanation:

3, 7, 11, 15, 19,

23, 27, 31, 35,

39, 43, 47, 51,

55, 59, 63, 67,

71, 75, 79, 83,

87, 91, 95, 99,

103, 107

32nd term is 107

The quotient of 5 and 9 can be written as

Since g must be less than this quotient, the answer is:

or equivalently:

where the symbol < means "less than"

Answer:

33 bags

Step-by-step explanation:

she has 4.5 ft³

she needs 54 ft³

she must get an additional

54 ft³ - 4.5 ft³ = 49.5 ft³

each bag has 1.5 ft³

(49.5 ft³)/(1.5 ft³) = 33

Answer: 33 bags

Answer:

-5 and -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the width is x, then the area is:

Solving we get:

So correct choice is B

Answer:

y = 3

y = 2

y = 1

y = 0

Step-by-step explanation:

Given expression;

y = (-x/3) + 2

Find:

Computation:

Value of y, if x = -3

y = (-x/3) + 2

y = (3/3) + 2

y = 3

Value of y, if x = 0

y = (-x/3) + 2

y = (-0/3) + 2

y = 2

Value of y, if x = 3

y = (-x/3) + 2

y = (-3/3) + 2

y = 1

Value of y, if x = 6

y = (-x/3) + 2

y = (-6/3) + 2

y = 0

Answer

its b

Step-by-step explanation:

43k 67u 88j

Answer:

The correct answer is:

AA

△

EGH

~△

EFD

Step-by-step explanation:

I got it incorrect the first time. the person above or below me is wrong.

9514 1404 393

Answer:

  (c)  3x - 2y

Step-by-step explanation:

Use the distributive property to eliminate parentheses, then collect terms.

  3(x -y) +y = 3x -3y +y = 3x +(-3+1)y = 3x -2y

Now we have to find,

The expression which is equivalent to,

→ 3(x - y) + y

Let's get the solution,

→ 3(x - y) + y

→ 3x - 3y + y

→ 3x - 2y

Hence, required expression is 3x - 2y.

Answer:

3/2

Step-by-step explanation:

(3/4) / (1/2) is equivalent to (3/4)*(2/1), or 6/4, or 3/2.

To divide by a fraction, invert the fraction and multiply instead.

Answer:

the answer is 1 and 1/2

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

-3/5

Step-by-step explanation:

(b + 14)/a = ((-5) + 14)/(-15) = -9/15 =-3/5

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

Step-by-step explanation:

Answer:

1. 210KM

2. 5.5 HOURS

3. 110KPH

4. 1.5HOURS

5. 336KM

6. 80KPH

7. 96KPH

8. 153.8KM

9. 40KPH

10. 45KM

Step-by-step explanation:

TIME = DISTANCE/SPEED

DISTANCE = SPEED × TIME

SPEED= DISTANCE/TIME