Step 1: move all terms to one side
7 + 2x^2 - 10x = 0
Step 2: Use the quadratic formula
X = 10 + 2(square root of 11). 10-2 _/—-11
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4. , 4
Step 3: Simplify solutions
X= 5 + (square root of 11) 5 - (square root 11)
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2. 2
A is correct, D, And E.....
The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.
For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.
(adjacent side) / (hypotenuse) = cosine of the angle.
Cosine(a) = 4/7 = 0.57143... (rounded)
Angle 'a' = <em>55.15 degrees</em> (rounded)
Answer:
B
Step-by-step explanation:
Given the 2 equations
4x + 3y = 16 → (1)
7x + 6y = 31 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the term in y
- 8x - 6y = - 32 → (3)
Add (2) and (3) term by term
- x = - 1 ( multiply both sides by - 1 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
4(1) + 3y = 16
4 + 3y = 16 ( subtract 4 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (1, 4 ) → B
