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3 years ago

What is the image of the point (6,-1) after a rotation of 270 counterclockwise about the origin

Mathematics

1 answer:

Sav [38]3 years ago

4 0

Answer:

(- 1, - 6 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ), thus

(6, - 1 ) → (- 1, - 6 )

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Answers are needed urgently..ty

SIZIF [17.4K]

Angle <QAB is =15° because the opposite angles of an isosceles triangle are equal.

The length of the straight line AB = 80cm

<h3>Calculation of angle of a triangle</h3>

The angle at a point = 360°

Angle AQB= 360 - 210° = 150

But the angle that makes up a triangle= 180°

180-150= 30°

But <QAB = <QBA because triangle AQB is an isosceles triangle.

30/2 = 15°

To calculate the length of the straight line the following is carried out using the sine laws.

a/ sina, = b sinb

a= 8cm, sin a { sin 15)

b= ? , sin B = 150

make b the subject formula;

8/sin15= b/sin 150

b= 8 × sin 150/sin 15

b= 80cm

Learn more about isosceles triangle here:

brainly.com/question/25812711

#SPJ1

7 0

2 years ago

Sales of 10000 increased by 65% each year write a function that represents the situation

erastovalidia [21]

Answer: $y=10000(1.65)^x$

Step-by-step explanation:

Given: The sales of 10000 increased by 65% each year .

Let x be the number of years.

The rate of growth=65%= 0.65

The exponential growth function is given by

$y=A(1+r)^x$

, where A is initial amount and r is the rate of growth in decimal.

Then the increase in the sales id given by :-

$y=10000(1+0.65)^x\\\Rightarrow\ y=10000(1.65)^x$

6 0

3 years ago

Look at the following pairs of numbers (x, y).

katrin2010 [14]

Step-by-step explanation:

Taking the first coordinate point (3,16.5)

where x= 3 and y= 16.5

$\frac{y}{x} = \frac{16.5}{3}$

$\frac{y}{x} = 5.5$

$y = 5.5x$

optionB

8 0

3 years ago

Read 2 more answers

What is an equation of the axis of symmetry for the parabola whose equation is y=2x^2-3x+4

krek1111 [17]

Answer:

x = 3/4 or x = 0.75

Step-by-step explanation:

y=2x²-3x+4

y'=4x-3 = 0

x = 3/4 .... answer

x = - b/2a ...y=ax²+bx+c

x = - (-3)/(2*2) = 3/4

4 0

3 years ago

Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

kari74 [83]

Answer:

295 minutes

Step-by-step explanation:

It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.

Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.

Time taken to drink 2/7 of a cup = 1 hour = 60 minutes

Time taken to drink 1 cup = $\frac{60}{2/7}=210$ minutes

Time taken to drink 1+17/42 cups = $210\times1\frac{17}{42}=295$ minutes

Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.

5 0

4 years ago