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2 years ago

PLLLZZZZ HEEELLLPPPP!!!!!!!!!!! Questions are below! :D

Mathematics

1 answer:

V125BC [204]2 years ago

3 0

Answer:

12) m∠BXD = 122°

13) m∠GXE = 50°

Step-by-step explanation:

12) m∠BXD = ∡BXC + ∡CXF + ∡FXD = 32° + 50° + 40° = 122°

13) m∠GXE = (90° - m∠AXG) = 90° - 40° = 50°

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

larisa [96]

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

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

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1 year ago

Write a division problem. Show two different ways that you can estimate the quotient using compatible numbers.

Levart [38]

98 divided by 7

1. 98-round to 100
7-round to 10

100 divided by 10=10

So 98 divided by 7 is about 10

That is one way

3 0

2 years ago

On a number line, point A has a coordinate of -6, and point B has a coordinate of 2. Which is the coordinate of point M, the mid

damaskus [11]

In my opinion
The answer is B

5 0

2 years ago

4. This box plot shows the number of marks earned by the boys in a class test. What was the lower quartile? 5.This box plot show

suter [353]

Answer:

4-lower- 18

5-upper-29

6- range-56

Step-by-step explanation:

If you look up a completed box plot you can tell where lower and upper quartiles are. Range is found by Max-Min

Hope I helped...!

4 0

2 years ago

Help with #9 please?

nekit [7.7K]

We're given a parabola

$y=x^2-4$

and a line

$y = 2x+b$

The zeros of the parabola are

$0=x^2-4$

$4=x^2$

$x=\pm 2$

We see that (-2,0) is on the line as well:

$y = 2x+b$

$0 = 2(-2)+b$

$b=4$

Choice D

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2 years ago