9514 1404 393
Answer:
C. The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).
Step-by-step explanation:
The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.
The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.
Additionally, the x-term needs to match the result of multiplying out the factors.
B. (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)
C. (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)
The factors of C are zero when x=-1, x=5/2.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
<em>x = 5y - 6 </em> This is just the first sentence written as an equation.
<em>x + y = 60</em> This is just the second sentence written as an equation.
<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to
<em>6y - 6 = 60</em> Collect like terms
<em>6y = 66</em> Add 6 to each side
<em>y = 11</em> Divide each side by 6
<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is
<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55
<em>x = 49</em> Subtract 6 from 55 to get 49
In an isosceles triangle, the base angles are congruent. The third angle is called the vertex angle.
Here, the vertex angle is <A.
Therefore, m<C = m<B.
m<A = 3m<B + 20
m<A + m<B + m<C = 180
3m<B + 20 + m<B + m<B = 180
5m<B + 20 = 180
5m<B = 160
m<B = 32
m<C = m<B = 32
Answer: m<C = 32 deg
The horizontal distance is the difference of x-coordinates: 6 - 4 = 2.
The vertical distance is the difference of y-coordinates: -1 - (-2) = 1.
The straight-line distance (d) can be found using the Pythagorean theorem, since the vertical and horizontal distances are at right angles to each other.
.. d² = 2² + 1² = 5
.. d = √5 ≈ 2.2
The distance UV is about 2.2.
A and D I think or it may just be A