Please help me in this:

Write the equation of the circle graphed below

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Comment

The basic equation of a circle is

(x - a)^2 + (y - b)^2 = r^2

a and b are the coordinates of the center of the circle

r is the radius.

Development of the equation

r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.

So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2

The center is the red dot.

x = 1

y = - 1

Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4

7 0

2 years ago

A petrol kiosk p is 12 km due north of another petrol kiosk q. The bearing of a police station r from p is 135 degree and that f

tiny-mole [99]

Answer:

Distance between P and R is 40.15 km.

Step-by-step explanation:

From the picture attached,

Petrol kiosk P is 12 km due North of another petrol kiosk Q.

Bearing of a police station R is 135° from P and 120° from Q.

m∠QPR = 180° - 135° = 45°

m∠PQR = 120°

m∠PRQ = 180° - (m∠QPR +m∠PQR)

= 180° - (45° + 120°)

= 180° - 165°

= 15°

Now we apply sine rule in ΔPQR to measure the distance between P and R.

$\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}$

$\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}$

$\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}$

PR = $\frac{12\text{sin}(120)}{\text{sin}(15)}$

PR = 40.15 km

Therefore, distance between P and R is 40.15 km.

8 0

2 years ago

6. Solve this inequality: j/4 -8 < 4.

Vaselesa [24]

Answer:

D

Step-by-step explanation:

Given

$\frac{j}{4}$ - 8 < 4 ( add 8 to both sides )

$\frac{j}{4}$ < 12

Multiply both sides by 4 to clear the fraction

j < 48 → D

6 0

2 years ago

Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If t

krok68 [10]

Answer:

$Feeds = 11.76kg$

Step-by-step explanation:

Given

$Field\ A= 56\%$

$Field\ B= The\ rest$

$Bag = 21kg\ feed$

Required

Determine how much goats in field A, get.

To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds

i.e.

$Feeds = 56\% * 21kg$

Convert percentage to decimal

$Feeds = 0.56 * 21kg$

$Feeds = 11.76kg$

<em>Hence, goats in field A get 11.76kg of feeds</em>

6 0

2 years ago

RoseWind [281]

Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.

Therefore, even if $\Delta ABC$ is dilated to $\Delta JKL$ by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle $\Delta ABC$ will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.

Please note that this is true for all two dimensional geometric shapes.

5 0

3 years ago