Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x = 
→ C
She practiced 630 hours in all because you multiply 18x35
Answer:
y = -x + 2
Step-by-step explanation:
(-3,5) and (4,-2)
Slope: (-2-5)/(4 - - 3) = -7/7 = -1
y-intercept= -2 - (-1)(4) = -2 + 4 = 2
The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.
<h3>How can the slope of the line be calculate?</h3>
The slope of the line is been given as −3x+5y=−15
Then 
, hence the slope is 
- Slope of the first line 5x + 3y = 15 after calculation is
the slope is 
this means that the line is perpendicular to the given line
- Slope of the second line 3x + 5y = 15 after calculation is
This means that the line is not perpendicular and not parallel
- Slope of the Third line -3x + 5y = 15 can be calculated as
This means that the line is parallel to the above line.
- Slope of the first line 3x + 5y = 15 after calculation is
This means that the line is not parallel or perpendicular to the line
Learn more about slope of line at:
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Paper he needs = total surface area
So to break it down into 2D shapes, that prism has 2 2D triangles, and 3 2D rectangles of different sizes.
The triangles are the same size, since you have 2, just multiply 2 by the formula for the area of a triangle: 1/2(base)(height) which is 2x1/2(5)(12) = 60
Next you'll need the area of all the rectangles: length x width. which would be (5 x 5) + (13 x 5) + (12 x 5) = 150
So the total amount of wrapping paper he'd need is 150mi^2
