All categories

3 years ago

What is the center of a circle whose equation is x2 + y2 + 4x – 8y + 11 = 0?

Mathematics

1 answer:

Valentin [98]3 years ago

7 0

Answer:

Step-by-step explanation:

eq. of circle is x²+y²+2gx+2fy+c=0

center=(-g,-k)

given eq. is x²+y²+4x-8y+11=0

comparing

2gx=4x

g=2

2fy=-8y

f=-4

center=(-2,4)

You might be interested in

Can you cut a pizza into eleven pieces using exactly four straight cuts?

Anastaziya [24]

I hope this helps :)

6 0

3 years ago

Pls help

sineoko [7]

Step-by-step explanation:

Force = pressure * area

= 200 * 3.7

= 740 N

4 0

3 years ago

Read 2 more answers

Consider the two triangles.

GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

Step-by-step explanation:

In Triangles WUV and XZY:

$\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.$

Therefore:

$\triangle UWV \cong \triangle XZY$

To show that the triangles are similar by the SSS similarity theorem, we have:

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

As a check:

$\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25$

The correct option is A.

4 0

3 years ago

A number,M, is rounded to 1 decimal place. the result is 9.4 complete the error interval for M

ivann1987 [24]

Answer:

$9.35 \le M \le 9.45$

Step-by-step explanation:

Given

$M = 9.4$ to 1 d p

Required

The error interval

The error interval is represented as:

$Lower \le M \le Upper$

Where

$Lower = M - 0.05$

$Upper = M + 0.05$

So, we have:

$Lower = M - 0.05$

$Lower = 9.4 - 0.05$

$Lower = 9.35$

$Upper = M + 0.05$

$Upper = 9.4 + 0.05$

$Upper = 9.45$

Hence, the error interval: $Lower \le M \le Upper$ is:

$9.35 \le M \le 9.45$

3 0

3 years ago

Elena wants to make a scale drawing of her bedroom using the scale 4cm to 1m. If Wall A in the drawing is 10 cm long, what is th

astra-53 [7]

Answer:

40 m

Step-by-step explanation:

6 0

3 years ago