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2 years ago

Figure lmno is a parrellelogram The sum of measures of angles l and m is

Mathematics

1 answer:

snow_tiger [21]2 years ago

7 0

Answer:

l+m = 180°{being co-interior angle}

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

MakcuM [25]

Answer:

$d = \sqrt{13}$ or d = 3.61

Step-by-step explanation:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}$

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3 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

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1 year ago

X2 + 4x - 21 = 0 quadratic formula

Elena-2011 [213]

Answer:

Step-by-step explanation:

x2 +4x-21=0. solve for x

$x = \frac{7}{2}$

$x = 3 \frac{1}{2} \ x = 3.5$

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3 years ago