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2 years ago

Write the equation in standard form for the circle with center (-5,8) and radius 4

Mathematics

2 answers:

Anon25 [30]2 years ago

8 0

Answer:

(x+5)^2+(y-8)^2=4^2

Step-by-step explanation:

I used a website called desmos.

Scilla [17]2 years ago

8 0

Answer:

(x + 5)² + (y - 8)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 5, 8 ) and r = 4 , then

(x - (- 5) )² + (y - 8)² = 4² , that is

(x + 5)² + (y - 8)² = 16

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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?

Ket [755]

Option C: $220 \ cm^2$ is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

$A=2(w l+h l+h w)$

Substituting $w=10$ , $h=5$ and $l=4$ in the formula, we get,

$A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)$

Multiplying the terms within the bracket, we have,

$A=2 \cdot(40 +20+5 0)$

Adding all the values within the bracket, we get,

$A=2 \cdot(110)$

Multiplying, we have,

$A=220$

Thus, the surface area of the rectangular prism is $220 \ cm^2$

Hence, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

A game contains 3 bags of green chips 2 bags of red chips and 5 bags og yellow chips. there ard 25 green chips in a bag and 30 r

nika2105 [10]

1 game has 3 bags of green chips ; 2 bags of red chips ; 5 bags of yellow chips
1 bag: 25 green chips
1 bag: 30 red chips

total number of chips:
green: 3 x 25 = 75
red: 2 x 30 = 60
yellow: 75 + 60 = 135 answer to part a.

75 + 60 + 135 = 270 total number of chips.

270 / 54 = 5 players. answer to part b.

Each of the 5 players will have 15 green chips, 12 red chips, and 27 yellow chips, for a total of 54 chips.

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3 years ago

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Lostsunrise [7]

Answer:A

Step-by-step explanation:

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3 years ago

Which of the following is an equation of the line that crosses through (-3,4) and (3,6)?

Mama L [17]

Answer:

y=(1/3)x+5

Step-by-step explanation:

Slope-intercept: y=mx+b

m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)

y=(1/3)x+b

plug in one of the points (3,6)

6=(1/3)(3)+b

6=1+b 5=b

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3 years ago

A bus can carry 50 people per run. At least how many times does the bus have to run in order to transfer 25, 000 people?

galina1969 [7]

50 × 500 = 25,000

The answer is 500 runs.

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3 years ago