Answer:
122
Step-by-step explanation:
Simple order of operations problem (PEMDAS)
Exponents first
8 * 3^2 + 3 * 2^2 * 8 / 2 + 2
Multiplication or division (Which ever comes first in the problem)
8 * 9 + 3 * 4 * 8 / 2 + 2
72 + 96 / 2 + 2
Addition or subtraction (Which ever comes first in the problem)
72 + 48 + 2
72 + 50
122
Our parabola open downward and therefore a is negative.
Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, </em><em>b</em><em>)</em>
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The fromual of a slope:
<em>(x₁, y₁), (x₂, y₂)</em><em> - points on a line</em>
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We have the points from the graph:
(0, 1) → <em>b = 1</em> and (3, 3).
Calculate the slope:
Finally we have the equation of a line:
Answer:
20 cm
Step-by-step explanation:
∵ S is the centroid of ΔNLM
∴ S divides NG at ratio 1 : 2 from the base
∴SQ = 1/2 NS
∴3x - 5 = 1/2 (4x)
∴3x - 5 = 2x
∴3x - 2x = 5
∴x = 5
∴ NS = 4 × 5 = 20 cm