Answer:
2 roots in every case, not all are real.
Step-by-step explanation:
All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.
a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.
b) each binomial factor contributes a root. Both roots are real.
c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.
Answer:
Sine, cosine and tangent
Step-by-step explanation:
Given a right triangle you can find the sine (or cosine, or tangent) of either of the non- 90° angles.
X = 38
2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:
2x + x + 66 = 180 -- combine like terms
3x + 66 = 180 -- subtract 66 from both sides
3x = 114 -- divide by 3 on both side
x = 38
Answer:
Top row: [1 0 0 1000]
Middle row: [0 1 0 300]
Bottom Row: [0 0 1 0]
Step-by-step explanation:
To put it in RREF form, you need to have only 1's in a diagonal and 0's both top and bottom of the 1's. To get to the forms, you need to multiply and add rows together to solve for RREF.
If you want to find equivalent fractions to you can multiply the numerator and denominator by the same number. You don't change the value of a fraction if you multiply its top and bottom numbers by the same number because you are just multiplying by 1.
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Some equivalent fractions of 6/9 are:
2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18 = 14/21 = 16/24 = 18/27 = 20/30 = 22/33 = 24/36 = 26/39 = 28/42 = 30/45 = 32/48 = 34/51 = 36/54 = 38/57 = 40/60
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