If she asks you to cut a strip of pie crust long enough to go around the outside of the pan

Mathematics

1 answer:

postnew [5]3 years ago

3 0

If she asks you that, she wants you to find the circumference of the pan.

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An Olympic hurdler was part of the way through her race when she fell. She got up and completed the final 353535 meters of her 1

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hurdler falled down before the 353535 steps of 100100100 race.

we need to find where she fell down

so we need subtract 353535 from 100100100

$100100100-353535=99746565$

she falled at 99746565 step before completing the race

5 0

3 years ago

Use a composite figure to estimate the area of the figure.

bezimeni [28]

A) about 14 square units

You have 11 fully filled squares 2 that are mostly filled and 2 that are about half filled

So 11+2+2(1/2)= about 14

6 0

2 years ago

Read 2 more answers

Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$