If \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measures 46^\circ46
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46, degrees, what does \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measure?
the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:
option a. true
step-by-step explanation:
9x^2-12x+4
comparing with the form a^2-2ab+b^2
1.) a^2=9x^2
solving for a: square root both sides of the equation:
sqrt(a^2)=sqrt(9x^2)
a=sqrt(9) sqrt(x^2)
a=3x
2.) b^2=4
solving for b: square root both sides of the equation:
sqrt(b^2)=sqrt(4)
b=2
to be a perfet square trinomial 2ab must be equal to 12x. let's check:
2ab = 2 (3x) (2)
2ab = 12x
correct
the height of the surface increases from the center out to the sides of the road.
step-by-step explanation:
as we move out we move away from the x-axis.
and as mentioned in the problem statement that height of a road increases when we move away from the center x.
hence proved that 3rd option
the height of the surface increases from the center out to the sides of the road.
is the correct option.
"standard form:
3x2 + 14x − 10 = 0
solutions based on quadratic formula:
x1 = −14 − √ 142 − 4×3×(−10) / 2×3 = −14 − 2 × √ 79 / 6 ≈ −5.296
x2 = −14 + √ 142 − 4×3×(−10) / 2×3 = −14 + 2 × √ 79 / 6 ≈ 0.629