Answer:
Step-by-step explanation:
Do FOIL, first outside inside last
3x × 3x = 9x^2
3x × -7 = -21x
7 × 3x = 21x
7 × -7 = -49
So it would just be 9x^2 - 49
Answer:
x=0.6241
Step-by-step explanation:
Square both sides and end up with
75.24+x=75.8641
isolate x
x=75.8641 - 75.24
x=0.6241
Answer:
y = 189.8
Step-by-step explanation:
Apply trigonometric function to find y.
Reference angle (θ) = 50°
Adjacent side = 122
Hypotenuse = y
Apply CAH, since the Hypotenuse and the Adjacent are involved.
Thus:
Cos θ = Adj/Hypo
Plug in the values
Cos 50° = 122/y
y*Cos 50° = 122
y = 122/cos 50°
y = 189.8 (beater tenth)
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.