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3 years ago

The figure is reflected across the dotted line. Which point does not change location? A. B B. A C. D D. C

Mathematics

1 answer:

iris [78.8K]3 years ago

5 0

The answer is C!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

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3 years ago

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Ax+by=c solving for y

german

Answer:

$ax + by = c \\ by = c - ax \\ \\ y = \frac{c - ax}{b} \\ \\ y = \frac{c}{b} - \frac{ax}{b}$

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3 years ago

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Miche found that most helicopters fly at speeds of less than 270 kilometers per hour. Her work is shown below. s > 270 A numb

almond37 [142]

Answer:

The inequality should be s<270.
The number line should be shaded to the left.

Step-by-step explanation:

Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.

If s=speed of the helicopters

Then: s<270

Representing this on a number line:

We have an open circle at 270.

Everything to the left of the circle is shaded.

Since the options are not given, I would list the mistakes made by Miche.

The inequality should be s<270.
The number line should be shaded to the left.

6 0

3 years ago

Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.

KonstantinChe [14]

By the fundamental theorem of algebra, we can write

$x^2+bx+10=(x-r_1)(x-r_2)$

Expanding the right hand side, we get

$x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}$

We want $b$ to be an integer, which means $r_1,r_2$ must also be integers. This means $r_1,r_2$ must be factors of 10. There are several possibilities:

$r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11$

$r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7$

So there are 4 possible values for $b$ : -11, -7, 7, and 11.

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3 years ago