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2 years ago

How does a 180 degree rotation about the origin change the coordinates of a shape

Mathematics

1 answer:

notsponge [240]2 years ago

6 0

Answer:

According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

180°: [x, y] → [-x, -y]

I am joyous to assist you anytime.

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Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

Which set of ratios could be used to determine if one triangle is a dilation of the other

Lisa [10]

Answer:

See explanation

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

$\frac{3.6}{3} = 1.2$

$\frac{5.4}{4.5} = 1.2$

$\frac{6}{5} = 1.2$

The set of ratios which could be used to determine if one triangle is a dilation of the other is

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

If there are multiple correct options then check this one too.

$\frac{3}{3.6} = \frac{4.5}{5.4} = \frac{5}{6}$

3 0

2 years ago

What is the inequality shown in the graph

rodikova [14]

It must be ≤ instead of ≥.

y ≤ - 3·x + 4

3 0

3 years ago

HELP PLEaseeeeeeeeeeeee thank youi

avanturin [10]

Answer:

d=4.5t

Step-by-step explanation:

in two hours, Francine went 9 miles

9/2=4.5

the distance equals 4.5 times each cycling time.

d=4.5t

7 0

2 years ago

Read 2 more answers

The sum of 32 and what number is 105

natta225 [31]

32+n=105
32-32+n=105-32
n=73

4 0

3 years ago