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3 years ago

Triangle PIG was rotated to create triangle P'I'G'. Describe the transformation using details and degrees.

Mathematics

1 answer:

insens350 [35]3 years ago

6 0

The rotation of the triangle is 270 degrees clockwise, or 90 degrees counterclockwise. Most commonly, clockwise measurements are used when it comes to rotations.

I hope this helped. Let me know if I was correct please.

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What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

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

<em><u>Let us determine the nature of roots:</u></em>

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.

natka813 [3]

Prob of selected students times prob of selecting boys times prob of selecting 3 boys
total students = 15b + 30g = 45 students

1. 10s/45t = 0.22
2. 15b/45t = 0.33
3. 3b/15b = 0.2

0.22×0.33×0.2=0.0148

1.48%

I'm not sure 100%... double check answer please

3 0

3 years ago

I need help (please show your work)

oksano4ka [1.4K]

Answer:

the solution is (-4, 3)

Step-by-step explanation:

if you were to graph y = -7/4x - 4 you could plot your first point at (0, -4) and get your second point by going up 7 units (from (0, -4) and to the left by 4

if you were to graph y = -1/4x + 2 you could plot your first point at (0, 2) and get your second point by going up 1 unit (from (0, 2) and to the left by 4

the second point plotted for each equation will be the point of intersection, (-4, 3)

6 0

3 years ago

Use the parabola tool to graph the quadratic function f(x) =-5x2 -2

enot [183]

Your first point would be on (0, 2), the vertex. Then, put a point on (-2, 22). Hope that helps!

3 0

3 years ago

There are 32 students in the orchestra and twice that number in the band. There are 19 boys and 11 girls in the choir. If each s

Mnenie [13.5K]

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The total number of students that are in the orchestra, the band, and the choir is 126.

<h3>What is Addition?</h3>

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

There are 32 students in the orchestra and twice that number in the band. Therefore the number of students in the band is:

Number of students in band = 2 (Number of students in Orchestra)

= 2 × 32 = 64

The number of students in the Choir is the sum of the number of boys and girls. Therefore, the number of students in the Choir is,

Number of students in the Choir = 19 + 11 = 30

Total number of students = 32 + 64 + 30 = 126

hence, the total number of students that are in the orchestra, the band, and the choir is 126.

Learn more about Addition:

brainly.com/question/14092461

#SPJ1

7 0

2 years ago