3 years ago

You are competing in a foot race. You are at point B (8,5) and the finish line is at point A (-5,5) how far are you?

Mathematics

1 answer:

ra1l [238]3 years ago

3 0

Answer:

Step-by-step explanation:

-5+x=8

isolate the x by moving the adding -5 to both sides

x=13

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B^-3 = 1/64 what equals b

s2008m [1.1K]

64=2*2*2*2*2*2=2⁶

B⁻³=1/64
1/B³=1/2⁶
B³=2⁶
B=∛2⁶=2⁶/³=2²=4

Answer: B=4

5 0

3 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$