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3 years ago

What is the equation of the circle with center (5, -4) and radius 4?

Mathematics

1 answer:

Oksanka [162]3 years ago

7 0

The answer is C. If you plug it into the correct equation. You should get this

You might be interested in

What is the slope of a line perpendicular to the line y = 1/5x - 3

Lubov Fominskaja [6]

Answer:

-5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

4 0

3 years ago

The owner of the Rancho Bar X wishes to use 2400 yards of fencing to enclose a rectangular piece of grazing land along the strai

aleksandrvk [35]

Answer:

Step-by-step explanation:

Let length be x and breadth be y .

Along the river no fencing is required so total boundary line of the rectangular land = x + y + y = x + 2y

add divider to it so total length

= x + 2y + y = x + 3y

x + 3y = 2400

area A = xy

y ( 2400 - 3y ) = A

2400y - 3y² = A

For maximum area dA / dy = 0

2400 - 6y = 0

y = 400 yards.

x = 1200 yards

largest area = xy

= 48000 sq yards.

7 0

3 years ago

It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cos

Natali [406]

I think the sandwich should sell for $7.56.

5 0

3 years ago

Read 2 more answers

Item 1

victus00 [196]

Step-by-step explanation:

the sign - "<" correctly compares this ( -35__-23).

hope this helps you.

3 0

2 years ago

. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte

Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160$

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240$

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

$\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}$

4 0

2 years ago