Find a point N on the segment with endpoints K(-2, -3) and L(4,3) that partitions thesegment, starting at point K, 1/3 of the way to point L.

For the given question,

The coordinates of the three lines are given with the end points.

Part a: The slope  piece wise rule for defined graph is-

Part b: calculate the three equations-

First find the slope for the three given lines;

slope (blue line);

coordinates - (0, -4) and (1, -1)

m = (-1 + 4)/(-1 - 0)

m = -3

Equation of line;

y + 4 = -3(x -0)

y = -3x - 4

slope (red line);

coordinates - (1, 4) and (5, 8)

m = (8 - 4)/(5 - 1)

m = 4/4

m = 1

Equation of line;

y - 4 = 1(x - 1)

y = x + 3

slope (green line);

coordinates - (5, 8) and (8, 8)

m = (8 - 8)/(8 - 5)

m = 0

Equation of line;

y - 8 = 0(x - 5)

y = 8

Thus, the three equation of line are found.

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Given the equation:

We will use the following rule to find the solution to the equation:

From the given equation: a = 6, b = 7, c = 2

So,

So, the answer will be option B) x = -1/2, -2/3

Given:

Mr. Cumme has 8 3/4 yards of material for her class.

he needs to use 1/3 of the material to make an example.

To find the number of yards of material that he will need, we will multiply 1/3 by 8 3/4 to get the answer.

So, the answer will be 2 11/12 yards.

Answer:

the answer is C..........

Since the domain is restricted to one side of the axis of symmetry of the full graph of f(x), an inverse does exist.

Letting [tex]f(x)=y[/tex],

[tex]x=y^2 +y-6\\\\x=\left(y+\frac{1}{2} \right)^2 -\frac{25}{4}\\\\x+\frac{25}{4}=\left(y+\frac{1}{2} \right)^2[/tex]

Since the domain is restricted to the right hand side of the axis of symmetry, and since the range of the inverse is the same as the domain of the original function, we take the positive square root.

[tex]\sqrt{x+\frac{25}{4}}=y+\frac{1}{2}\\\\y=f^{-1}(x)=\sqrt{x+\frac{25}{4}}-\frac{1}{2}[/tex]

The domain of the inverse is the range of the original function, which is [tex]\left[-\frac{25}{4}, \infty \right)[/tex].

The range of the inverse is the domain of the original function, which is [tex]\left[-\frac{1}{2}, \infty)[/tex],

The Complement rate where Trade discount rate is 15% = 100 - 15 = 85%.

Thanks

Answer:

Htel Htel will hear the sounds again at 9:00 AM

SOLUTION

The following sequence is a geometric series and we have been provided with the formula

Here a1 is the first term = 40,

r is the common ratio = -0.4 (to get r, divide the second term by the first term)

n = number of terms = 9. Now let's solve

The sum to the nearest hundredth becomes = 28.58

Answer:

a square root is basically any number multiplied by itself to get another number. there are 2 types, perfect and non perfect, perfect is when the number being multiplied by itself is an a whole number, while the non perfect is when the number that is being multiplied by itself is a decimal or fraction

Step-by-step explanation:

The required value of t is (-∞, -6) U (4, ∞).

What is a linear inequality and how is it solved?
Expressions with linear inequalities compare any two values using inequality symbols like "<" and ">." The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. Polynomial inequality, rational inequality, and absolute value inequality are the several types of inequalities that exist in mathematics.
First, create an equation for the inequality. The given equation must be solved for one or more values. Represent all of the values that you found on the number line now. On the number line, use open circles to symbolize the excluded values. the interval, then. To determine whether the values satisfy the inequality equation, substitute any random value from the interval into the inequality equation. The solutions of the given inequality equation are intervals that fulfil the inequality equation.

Given, the linear inequalities are t + 1 < -5 and t + 1 > 5
Solving the first inequality, t + 1 < -5 ⇒ t < -5 -1 ⇒ t < -6
Again, solving second inequality, t + 1 > 5 ⇒ t > 5 - 1 ⇒ t > 4
Combining the solution of both the inequalities, we have;
the value of t can take any value in (-∞, -6) U (4, ∞).
Therefore, the required value of t is (-∞, -6) U (4, ∞).

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Answer:

A is correct. √11 and √14 are both between 3 and 4.

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

then, solving for b, we get:

now that we have that b = 41, we can find the measure of each angle:

Let's solve the system of equations using elimination:

4x + 5y = 14

-4x -2y = -8

First, we need to get rid of one variable.

Sometimes we multiply them by some factors to have the same number on one variable, but in this case, we can subtract the x variable

4x +5y =14

-4x-2y = -8

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

4x-4x =0, 5y -2y = 3y and 14-8=6

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

0+3y = 6

Solve the equation for y

Divide by 3 into both sides

3y/3 = 6/3

y = 2

Then, replace this variable on one equation, whichever you want:

4x + 5y = 14

4x +5(2) = 14

4x +10 = 14

and solve the equation for x

4x +10 = 14

Subtract 10 on both sides

4x +10-10 = 14-10

4x = 4

Divide by 4 into both sides

4x/4 = 4/4

x = 1

You can replace both variables to confirm the results:

4x +5y =14

4(1) +5(2) = 14

4 +10 = 14

14 = 14

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

-4x -2y = -8

-4(1) -2(2) = -8

-4-4 = -8

-8 = -8

The result is correct, so my ordered pair is (x,y) = (1,2)

hello

to solve this question, we asume it's a right angled triangle and we use pythagorean theorem

pythagorean thorem states that the square of the longest side which is the hypothenus of a triangles is equal to the sum of the square of the two other sides which are the opposite and adjacent

according to pythagorean

now we go through the options

from the first option (3, 4, 5)

the longest side here is 5

let's check if this is true

option 1 is represents a triangle

let's check option 2

(2, 5, 9)

longest side = 9

option 2 does not represents a triangle and it's the right option here

The new triangle A'B'C' shown in the attached graph has the coordinates of B' are (2, 8), A' are (1, 6), and  C' (4, 6).

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangle ABC shown in the graph has:

The coordinates of B are (-7, 6),

The coordinates of A are (-8,4),

The coordinates of C are (-5, 4)

If B' is the translated position of B.

The new triangle A'B'C' shown in the attached graph has:

The coordinates of B' are (2, 8)

The coordinates of A' are (1, 6)

The coordinates of C' are (4, 6)

Length of AB = A'B' = √5

Length of BC = B'C' = 2√2

Length of CA = C'A' = 3

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Answer:

1/4

Step-by-step explanation:

1/2 - 1/4 = 2/4 - 2/4 = 1/4

Answer:

if f(-4) = -31

then

f(-2) = -7

f(0) = 1

f(1) = -1

f(3) = -17

Step-by-step explanation:

You have to replace the x of the f(x) equation with said number in the left column. Then plug it into your calculator and your golden :]

f(x) = -2x²+1

= -2(-4)²+1

= -32+1

f(x) = -2x²+1

= -2(-2)²+1

= -2(4)+1

= -8+1

f(x) = -2x²+1

= -2(0)²+1

= -2(0)+1

= 0+1

f(x) = -2x²+1

= -2(1)²+1

= -2(1)+1

= -2+1

f(x) = -2x²+1

= -2(3)²+1

= -2(9)+1

= -18+1

4 candy bars for 4.12=1.03

7 candy bars for 7.14=1.02

so 7 candy bars for 7.14

Answer: The one for 7 candy bars for $7.14.

Step-by-step explanation:

Answer: It would be Figure L

Step-by-step explanation:

It is supposed to be reflected off the y-axis and the only shape in that same box across is Figure L. So there, have a nice and blessed day!

Answer:

Figure L

Explanation:

It's reflected across the y-axis. The y-axis is a vertical line

Both lines AB and CD are secant lines beacuse in two points they are touching the circunference. There is a Theorem which says the following

Since the distance from the center of the circle to each secant line is the same (5 units), we could assume that the both secant lines are similar. saying:

Then the lenght of CD is:

We are given a table with values of "x" and associated values of "y". Let's remember that direct variation implies that each value of "y" will be related with its corresponding value of "x" according to the following relationship:

Where "k" is the constant of proportionality. If the table shown has direct variation the same constant should apply for each value. Let's take the first value of the table, that is, x = 3 and y = 6. Substituting we get:

Dividing both sides by 3 we get:

Solving the operations:

Now we substitute in the relationship:

Now, for the second value of "x", that is x = 6:

Since we did not get the corresponding value of "y" in the table, this means that the constant of proportionality doesn't work for this value, and therefore, "y" does not vary directly with "x".

The value of the quadratic equation given as x^2 = 25 is 5

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The quadratic equation is given as

x2 = 25

Rewrite the equation properly

So, we have

x^2 = 25

Take the square roots of both sides

x = 5

Hence, the solution of the equation is 5

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Answer:

Hmm, that's a tough one. I think it's 19.  I'm not sure though.

Answer:

19

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here, we want to use the exponential growth formula to estimate the 2015 population

In order to use the exponential growth formula, we have to get some of the needed points like the growth rate or constant represented by K

At any point in time, A represents the initial popultaion, which is the population in 1993, given as 204 million

P represents the population at that point in time

k is what we want to calculate

t is the difference in the number of years

Thus, for between 1993 and 2015, we have ;

Substitute the values of the constant in the equation to obtain the value of x.

Answer:

-29

Step-by-step explanation:

subtracting the negative 22 from the -17 made it positive until you subtract the 34 which made it -29