Answer:the length of line segment AC is 14
Step-by-step explanation:
The diagram is shown in the attached photo
Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes
3x - 7 = 2x
3x - 2x = 7
x =7
To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes
3×7 - 7 = 21 - 7 = 14
The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>
How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
brainly.com/question/4025726
#SPJ1
The answer is (9c/5)+32=F
Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD= 
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>
