All categories

3 years ago

Please help me with this question :) thanks.

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

Answer:

(5,-3)

Step-by-step explanation:

You can find this because when a point is reflected across the x-axis, its y-coordinate changes its sign. The same is true when reflected across the y-axis. It's x coordinate changes its sign.

(-5,-3) becomes (5,-3)

You might be interested in

Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!

Mariulka [41]

Answer:

6(2 + √3)

Step-by-step explanation:

Given : Rectangle GHIJ inscribed in a circle. GK⊥JH, GK = 6 cm and m∠GHJ=15°.

To find: Radius(KH) =?

Sol: As given in figure 1, Since GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.

Now, In ΔGKH,

$tan\Theta =\frac{perpendicular}{base}$

$tan\Theta =\frac{GK}{KH}$

$tan 15^{\circ} =\frac{6}{x}$

$2-\sqrt{3} =\frac{6}{x}$ (∵ tan 15° = 2 - √3)

$x = \frac{6}{2-\sqrt{3} }$

On rationalizing the above expression,

$x = \frac{6}{2-\sqrt{3} } \times \frac{2+\sqrt{3} }{2+\sqrt{3} } =\frac{6(2+\sqrt{3} )}{4-3}$

Therefore, radius of the circle (KH) = 6 (2+√3)

This is how to find the value of tan 15°

tan 15° = tan (45° -30°)

Now using,

$tan(A-B) = \frac{tanA-tanB}{1+tanA tanB}$

$tan(45^{\circ} - 30^{\circ}) = \frac{tan 45^{\circ}-tan30^{\circ}}{1+tan 45 tan30}$

$tan(45^{\circ} - 30^{\circ}) = \frac{1-\frac{1}{\sqrt{3}}}{1+1\times \frac{1}{\sqrt{3}}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}$

On rationalizing,

$tan 15^{\circ} = \frac{\left (\sqrt{3}-1 \right )^{2}}{3-1} =\frac{4-2\sqrt{3}}{2}$

Taking 2 common from numerator,

tan 15° = 2 - √3

5 0

3 years ago

Read 2 more answers

Help will give brainiest and 20 points, please answer thoroughly and explain ur steps. If you don’t answer properly I will repor

Sergio [31]

Step-by-step explanation:

maybe that is the data where those born in that year are placed

4 0

3 years ago

A rectangular prism is 4.1 feet long, 4.3 feet wide and 14 feet high. what is the volume of the rectangular prism

Marizza181 [45]

Answer:

246.82 cubic feet.

Step-by-step explanation:

The volume of a rectangular prism is length*width*height. Solving, 4.1*4.3*14=246.82 cubic feet.

8 0

3 years ago

Graph a line parallel to y-2x+1 and has a y-intercept of (0,5))

Debora [2.8K]

your answer is x = 6

desmos

7 0

3 years ago

A person earns $43200.00 one year and receives an 8% raise in salary. what is the new salary?

inysia [295]

46,656. 43,200 x 1.08

5 0

3 years ago