Since we want to find the value of k where the limit exists, set both equations equal to each other. Then substitute x = -1 in for each equation to find k.

$kx - 3 = {x}^{2} + k$

1. Set both equations equal.

$- k - 3 = 1 + k$

2. Substitute x = -1.

$- 3 = 1 + 2k$

3. Solve for k by adding k to both sides. Continue the process of solving the equation.

$- 4 = 2k$

$k = - 2$

Thus, k = -2. Check by graphing the function.

8 0

3 years ago

Consider the triangle below. Determine the angle measure for the bottom two angles in order for the triangle to be classified as

FinnZ [79.3K]

Answer:

The angle measure for the bottom two angles in order for the triangle to be classified as an isosceles triangle are 30 degrees each

Explanation:

An isosceles triangle has two of its angles equal.

Given that one angle is 120 degrees, assuming the remaining angles are equal, since the sum of the angles in a triangle is 180 degrees, we have:

120 + x + x = 180

120 + 2x = 180

2x = 180 - 120 = 60

x = 60/2 = 30

Each of the remaining angles measure 30 degrees

6 0

1 year ago

Brian was thinking of a number. Brian halves the number and gets an answer of 67.8. Form an equation with x from the information

Fofino [41]

Answer:

x ÷ 2 = 67.8

7 0

3 years ago

What is the equation of the line through (5,1) with a slope of -3?

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

The equation of a line is given by the formula $y-y_1=m(x-x_1)$

Where $x_1$ is the x-coordinate (it is given as 5)

$y_1$ is the y-coordinate (it is given as 1), and

m is the slope (it is given as -3)

Plugging in all the info into the formula we have:

$y-y_1=m(x-x_1)\\y-1=-3(x-5)$

From the answer choices, we see that C is the correct answer.

7 0

3 years ago

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