The figure is reflected across the dotted line.

Mathematics

1 answer:

notsponge [240]4 years ago

8 0

The answer is B: Y
Y did not change position even after it is reflected

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what is an equation of the line that is perpendicular to line y= -1/2x -2 and passes through the point (0,-4)?

LiRa [457]

Answer:

$y = 2x -4$

Step-by-step explanation:

$y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)$

To find the perpendicular equation of a line,

You need the product of their gradients to be -1

$-\frac{1}{2} \times ? = -1$

Divide both sides by $-\frac{1}{2}$

? = 2

The gradient of the perpendicular line is 2

Straight line formula is in the form $y = mx + c$

$y = 2x + c$

We're nearly there, we just need to find out c.

Luckily, we're given a point $(0, -4)$

$(x, y) = (0, -4)$

$y = 2x + c$

$-4 = 2(0) + c\\-4 = 0 + c\\c = -4$

We then end up with...

$y = 2x -4$

3 0

2 years ago

Twenty boys signed up for the school play. The number of girls who signed up was 195% of the number of boys. At the auditions, o

Firlakuza [10]

20 boys signed up
# of girls who signed up was 195% of the number of boys who signed up

Find 195% of 20:

1.95 * 20 = 39

So 39 girls signed up.

To find out what percent of girls who signed up for the play attended the auditions, divide 26 to the total number of girls who signed up:

26 / 39 = 0.666666667

Multiply by 100:

0.666666667 * 100 = 66.6666667%

So approximately 66.67% or 66 2/3%

7 0

3 years ago

Please help me! thanks in advance trying to raise my grade

Igoryamba

Answer:

x=53

Step-by-step explanation:

In the attachment, it shows how the angle 53 is vertically opposite to the one in blue. Which happens to be corresponding, therefore equal, to the angle x.

Have a nice day!!! :-)