Answer:
The equation in slope-intercept form is y = x + 6
Step-by-step explanation:
For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.
The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.
We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.
Now we have all necessary information.
Plug in the values: y - 5 = 1(x + 1)
Simplify: y - 5 = x + 1
Add 5 to both sides: y = x + 6
The answer is y = x + 6
Your answer is b, m squared
Answer:
Perimeter = 38 feet
Area = 78 sq. feet
*Don't forget the squared (sq.) part in the area or your units WILL be wrong*
Step-by-step explanation:
We are just going to add up the sides given.
8 + 5 + 5 is the top rectangle
4 + 11 is the bottom rectangle and the bottom of the triangle
Add 5 more to account for the hypotenuse of the triangle.
8 + 5 + 5 + 4 + 11 + 5 or 8 + 5(3) + 4 + 11 = 38.
Your perimeter is 38 feet
The area of the top rectangle can be found by doing the length (8 ft.) times the width (5 ft.) 8 x 5 = 40 sq. ft.
The bottom rectangle has the same length as the top since they share a side but, has its own width (4 ft.). 4 x 8 = 32 sq. ft.
Time to add on the area of the triangle. The height of the triangle is the width of the bottom rectangle which is 4 ft. Now we use that 11 feet. The base of the triangle plus the length of the bottom rectangle equals 11 feet. We found from the previous parts that the length of the rectangles are 8. So if we subtract 8 from 11, we get the size of the base. 11 - 8 = 3. The base of the triangle is 3 feet.
Area of a right triangle is found by doing 1/2 times the base times the height. So the area of that triangle is (1/2)(3)(4) = (1/2)(12) = 6 sq. ft.
Now, we add all of our areas together.
40 + 32 + 6 = 78 sq. ft.
Answer:
A
Step-by-step explanation:
The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!
312 gallons of white paint, $17.50 each gallon
134 gallons of blue paint, $19 for each gallon
312 x 17.50 = $5,460
134 x 19 = $2,546
5460 + 2546 = $8,006