The table is represented below

Part A: The y-intercept of the linear graph is when

. So, from our date, the y-intercept is at y=330

Part B: The rate of change is 55 and it represents the decrease of 55 miles for every hour travelled

Part C: The domain of the function will be

meaning the traveller will reach its destination after travelling

hours (assuming the traveller doesn't stop for break)

So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83

83+2 is 85

so the product is the two numbers multiplied together which is 166</span>

Perpendicular lines have opposite reciprocal slopes.

x = 4 has a slope of undefined since it is a vertical line.

It's undefined because 1/0 = undefined. We can't divide by 0.

The opposite reciprical of 1/0 is -0/1, which equals to 0.

Any line with a slope of 0 is:

y = 0x + b

y = b

This line goes through the point of (2, 6).

Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).

6 is in the y-value.

The equation of the perpendicular line is **y = 6**.

**Answer:**

x=17

**Step-by-step explanation:**

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

**<em>In the triangle ABC</em>**

m∠A+m∠B+m∠C=180°

substitute the values and solve for m∠C

4x+49°+m∠C=180°

m∠C=180°-49°-4x

m∠C=131°-4x

<em>**In the triangle EDC**</em>

m∠E+m∠D+m∠C=180°

we have

m∠E=x

m∠D=100°

m∠C=131°-4x -----> by vertical angles

substitute the values

**Answer:**

6x-8

**Step-by-step explanation:**

you multiply 2*3x=6x then 4*2=8

therefore 6x-8=(3x-4)2