Find the distance between the points (4,-9) and (-6,-10)

Answer:

I think it is D because on x, there is a jump of 2 to get from 1 to 3. Than a jump of 2 to get from 4 to 6. Then with y, jump of 4 to get from -1 to 3 than jump of 4 to get from 5 to 9

Step-by-step explanation:

Answer:

7x+8

Step-by-step explanation:

12x-5x    +       6 + 8

Answer:

the both have the same because 0.75 is like when you have 3 quarters and you need 4 to complete it to get 1 dollar :)

hope that helps

Answer:

Let m be the mass of the object and w be the weight of the object. According to the problem, weight varies directly with mass, so we can write:

w = k * m

where k is the constant of proportionality.

To find k, we can use the information given in the problem. We know that when m = 2 kg, w = 4 N. Substituting these values into the equation above, we get:

4 N = k * 2 kg

Solving for k, we get:

k = 4 N / 2 kg = 2 N/kg

Now we can use this value of k to find the mass of an object that weighs 18 N. We can rearrange the equation above to solve for m:

m = w / k

Substituting w = 18 N and k = 2 N/kg, we get:

m = 18 N / 2 N/kg = 9 kg

Therefore, the mass of the object that weighs 18 N is 9 kg.

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

Step-by-step explanation:

Solve the equation for x

3x - 3 + x = - (x - 12)

3x -  3 + x - (x - 12) = 0

5x - 15 = 0

x = -(-15)/5

x = 3

------------------------

check

3 * 3 - 3 + 3 = -(3 - 12)

9 - 3 + 3 = 9

9 = 9

the answer is good

Answer:

10

Step-by-step explanation:

Change the fraction to a decimal:

2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

Multiply:

4 x 2.5 = 10

10 is your answer.

~

Answer:

7x + 2y = - 6

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )

2y = - 7x - 6 ( add 7x to both sides )

7x + 2y = - 6 ← in standard form

Answer:

1.) 15.26

2.). 5.74 miles

Step-by-step explanation:

1. We will solve this using the pythagorean theorem

Ab² + bc² = ac²

= 13² + 8² = ac²

= 169 + 64 = ac²

233 = ac²

We take square root of both sides to get ac

√233 = ac

15.26 = ac

So the distance from his home to his place of work is approximately equal to 15.26

2. Actual distance = 13 + 8 = 21 miles

21 miles - 15.26 = 5.74miles

Therefore his one way trip would be 5.74 miles shorter everyday.

Answer:

203 Ibs of butter

Step-by-step explanation:

The bakery used 203 pounds of butter in total over the 3 days.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Given that,

Amount of butter used on Tuesday = 29 pounds

Amount of butter used on Wednesday = 53 pounds

Amount of butter used on Thursday = 121 pounds

We have to calculate the total pounds of butter used in theses 3 days.

For that add the 3 amounts.

Total pounds of butter used = 29 + 53 + 121

                                               = 203

Hence the total amount of butter that the bakery used in these three days is 203 pounds.

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Answer:

B) 9

Step-by-step explanation:

add 4+3+2 and get 9 so he has a 1/9 possibility

There are 18 possibilities

4+3+2=9 But he drew a card 2 times 9*2=18

Answer:

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

First, subtract by 15 from both sides.

4x+15-15≥x+6-15

Solve.

4x≥x-9

Then, you subtract by x from both sides.

4x-x≥x-9-x

Solve.

3x≥-9

Divide by 3 from both sides.

3x/3≥-9/3

Solve.

Divide the numbers from left to right.

-9/3=-3

\(\Longrightarrow: \boxed{\sf{x\geq -3}}\)

I hope this helps, let me know if you have any questions.

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

Given inequality:

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

Therefore, the solution is x ≥ -3.

Answer:

14(120)t

Step-by-step explanation:

hopes this helps

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

Answer:

7/6 cups

Step-by-step explanation:

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

y=(x-4)(x-1)

Step-by-step explanation:

We need y to be 0 and x must equal 4 and 1

The only way to make y=0

is to swap 9 and 5 for -4 and -1

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Answer:

=====================

If two televisions are randomly selected, the probability that both televisions work can be computed using the formula:

To calculate the numerator of this formula, we need to find the number of ways to choose 2 working TVs from the 4 TVs that are not defective.

We can use the combination formula:

To calculate the denominator of the formula, we need to find the total number of ways to choose 2 TVs from the 6 TVs in the shipment.

We can use the combination formula again:

Putting this all together, we get:

To compute the probability that at least one of the two televisions does not work, we can use the complementary probability formula:

Therefore, the probability that at least one of the two televisions does not work is 0.6 or 60%.

Answer:

A - linear

B -  exponential

C -  inverse variationn

Step-by-step explanation:

Answer:

Area = 81; Side Length = 3

Step-by-step explanation:

The area of a square is the side lenght squared, and 9² is 81.

The side lengh can be found by taking the square root of the area. √9 = 3

Answer:

50

Step-by-step explanation:

400/8 =50

Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

EB × AE = ED × CE

x(x + 1) = 3 × 2 = 6

x² + x = 6 ( subtract 6 from both sides )

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

But x > 0 , then x = 2

The value of x is 2.

'Circle is a set of all points on a plane that are a fixed distance from a center.'

'A chord is the line segment joining two points on a curve.'

According to the given problem,

AE = x+1

EB = x

CE = 2ED = 3

We know,

When chords intersect inside a circle, the product of segment formed by the circle are equal.

Therefore,

(AE)*(EB)=(CE)*(ED)

⇒ (x+1) * x = 2 * 3

⇒ x² + x = 6

⇒ x² + x - 6 = 0

This is a quadratic equation,

Solving for x,

⇒ x² + 3x - 2x - 6 = 0

⇒ x( x + 3) - 2( x + 3) = 0

⇒ (x + 3)(x - 2) = 0

⇒ x = -3 , 2

We know that a chord length cannot be negative.

⇒ x = 2AE = 3 and EB = 2 , AB ⇒ ( 3+2 ) = 5

Hence, we can conclude the value of x is 2 and the length of the chord AB is 5.

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Answer:

13/20

Step-by-step explanation:

chamge the denominator to the same