Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
2
+
6
+
4
=
0
2x^{2}+6x+4=0
2x2+6x+4=0
=
2
a={\color{#c92786}{2}}
a=2
=
6
b={\color{#e8710a}{6}}
b=6
=
4
c={\color{#129eaf}{4}}
c=4
=
−
6
±
6
2
−
4
⋅
2
⋅
4
√
2
⋅
2
x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}
x=2⋅2−6±62−4⋅2⋅4
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One way to write a ratio is 5:8 or 5 to 8 and <u>5</u>
8
We do this by dividing 360°<span> by the number of sides, which is 8. (b) Calculate the size of each interior angle in the regular octagon. We do this by subtracting the size of each exterior angle, which is 45°, from </span>180°<span>. A regular polygon has equal exterior angles of 72°</span>
The estimated sum of 196 and 482 is 700.
We do estimates when we do mental calculation. We relate the number to the nearest number that can easily be computed mentally.
196 is near 200 so we round it up to 200
482 is near 500 so we round it up to 500
Thus, 200 + 500 = 700.
700 is the estimated sum.
Step-by-step explanation:
-11 + 3(b + 5) = 7
-11 + 3b + 15 = 7
3b + 4 = 7
3b = 3
b = 1
