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julsineya [31]
3 years ago
8

What is the equation of a circle with center (2,-5) and radius 4?

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

Choice C

Step-by-step explanation:

The Equation of a circle is (x-h)^2+(y-k)^2=r^2, where h and k are the x and y coordinates respectively of the center of the circle, and r is the radius. Because the center here is (2, -5), we have (x-2)^2+(y- - 5)^2, and the two minuses become (y+5)^2. This eliminates A and B. The radius is 4, so r^2=16, and thus, we get C.

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A company plans to enclose three parallel rectangular areas for sorting returned goods. The three areas are within one large rec
Svetlanka [38]

Answer:

The largest total area that can be enclosed will be a square of length 272 yards.

Step-by-step explanation:

First we get the perimeter of the large rectangular enclosure.

Perimeter of a rectangle =2(l + w)

Perimeter of the large rectangular enclosure= 1088 yard

Therefore:

2(L+W)=1088

The region inside the fence is the area

Area: A = LW

We need to solve the perimeter formula for either the length or width.

2L+ 2W= 1088 yd

2W= 1088– 2L

W = \frac{1088-2L}{2}

W = 544–L

Now substitute W = 544–L into the area formula

A = LW

A = L(544 – L)

A = 544L–L²

Since A is a quadratic expression, we re-write the expression with the exponents in descending order.

A = –L²+544L

Next, we look for the value of the x coordinate

L= -\frac{b}{2a}

L= -\frac{544}{2X-1}

L=272 yards

Plugging L=272 yards into the calculation for area:

A = –L²+544L

A(272)=-272²+544(272)

=73984 square yards

Thus the largest area that could be encompassed would be a square where each side has a length of 272 yards and a width of:

W = 544 – L

= 544 – 272

= 272 yards

7 0
3 years ago
Of the 60 students in a school, 24 are currently studying chemistry. Exactly 16 of the girls in the school are not currently stu
garri49 [273]

Answer:

7 boys.

Step-by-step explanation:

Given:

Total number of students in the school = 60

Total number of girls in the school = 33

Total number of students currently studying chemistry = 24

Total number of girls not currently studying chemistry = 16

<u>Question asked:</u>

How many boys are currently studying chemistry ?

Solution:

<u>Total number of girls in the school = 33</u>

Total number of girls not currently studying chemistry = 16

Total number of girls currently studying chemistry = Total number of girls in the school - Total number of girls not currently studying chemistry

Total number of girls currently studying chemistry =  33 - 16 = 17                                                  

Now:-

<u>Total number of boys and girls currently studying chemistry = 24</u>

Total number girls currently studying chemistry = 17

Total number of boys currently studying chemistry = Total number of boys and girls currently studying chemistry - Total number girls currently studying chemistry

Total number of boys currently studying chemistry = 24 - 17 = 7

Therefore, 7 boys are currently studying chemistry.

5 0
3 years ago
A volunteer is organizing the snacks at a concession stand and notices the ratio is sweet snacks to salty snacks is 5:1. If ther
Verizon [17]
100 sweet snack, if it is 5:1 ratio than there’s 5 times the amount of salty snacks
3 0
3 years ago
HELP ASAP
Sindrei [870]

Answer:

median = 27

range = 29

mode = 32

maximum value = 41

interquartile range = 21

minimum = 12

upper quartile = 35

mean = 25

lower quartile = 14

Step-by-step explanation:

hope i helped

8 0
3 years ago
HELP W MATH FINAL PLS
rusak2 [61]
The answer is x=-5/6
7 0
3 years ago
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