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3 years ago

By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,

Mathematics

1 answer:

poizon [28]3 years ago

5 0

Answer:

$a + b + c = 5 + 6 + 11 = 22$

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

$a + b + c = 5 + 6 + 11 = 22$

Lucas Villamizar

3 years ago

The answer is actually zero. a represents the black line = 11 going towards the right side of the number line. B and C actually represent 6 and 5 which are heading in the direction of zero. so the equation is actually 11+(-6)+(-5) = 0.

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$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

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$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

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