Answer:
100 ft
Step-by-step explanation:
We need to find the diagonal ( or hypotenuse)
We can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
80^2 + 60^2 = c^2
6400+3600 = c^2
10000 = c^2
Taking the square root of each side
sqrt(10000) = sqrt(c^2)
100 = c
Answer:
Option 1
Step-by-step explanation:
5(3x+2) + 2(x-7)
15x + 10 + 2x -14
15x + 2x + 10 - 14
17x - 4
Answer:
Neither
Step-by-step explanation:
We need to transform one of the equations into its slope-intercept form:
y + 2/5x = 8
Subtract 2/5x from both sides:
y = -2/5x + 8
y = -5/2x - 7
Graphing both lines, they do intersect at point (-7.14, 10.86), but they are not parallel, nor are they perpendicular from each other. By definition, perpendicular lines must appear to be perpendicular (that is, they intersect at a 90° angle).
Looking at the attached graph (where the purple line is y = -2/5x + 8), their lines do not form a 90° angle.
Therefore, the correct answer is neither.
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9514 1404 393
Answer:
acute scalene triangle
Step-by-step explanation:
The largest angle is acute, and all sides are different lengths. The triangle is an<em> acute scalene triangle</em>.
____
The magnitudes of the coordinate differences are ...
WX = (7, 5), XY = (2, 7), WY = (9, 2)
The two sides that are closest in length are ...
WX = √(49+25) = √74
WY = √(81 +4) = √85
Obviously, these are different lengths.
You can get a clue by comparing the numbers whose squares you are adding:
7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY
9^2 +2^2 > 7^2 +2^2 . . . . WY > XY
so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)
We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.
Answer:
f = -8
Step-by-step explanation:
7(f+3)+9=5(f-2)-3f
7f + 21 + 9 = 5f - 10 - 3f
7f + 30 = 2f - 10
5f = -40
f = -8