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3 years ago

How do you do this problem???

Mathematics

1 answer:

Evgen [1.6K]3 years ago

4 0

First you would subtract 2 from both sides. then multiply -3 to both sides.

The anwser is -132

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What is the equation of the circle with center (1, −1) that passes through the point (5, 7)?

kykrilka [37]

Answer:

Option C $(x-1)^2+(y+1)^2=80$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from the center of the circle to any point on the circumference of the circle is equal to the radius of the circle

we have

(1,-1) and (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$d=\sqrt{(7+1)^{2}+(5-1)^{2}}$

$d=\sqrt{(8)^{2}+(4)^{2}}$

$d=\sqrt{80}\ units$

step 2

Find the equation of the circle in center radius form

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute

$(x-1)^2+(y+1)^2=(\sqrt{80})^2$

$(x-1)^2+(y+1)^2=80$

3 0

3 years ago

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the c

Ivan

The total possibilities can be 756 ways.

<h3>What is combination?</h3>

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

Given:

The number of ways in which we can select atleast 3 men in the committee are 756.

Number of men = 7

Number of women = 6

Number of people that should be selected in the committee = 5

Now,

N(M = 3) = 7C_3* 6C_2

=35*15

=525

N(M = 4) = 7C_4* 6C_1

=35*6

=210

N(M = 3) = 7C_5* 6C_0

=21*1

=21

So, total possibilities can be = 525 + 210 + 21 = 756 ways.

learn more about combination here:

brainly.com/question/28390900

#SPJ4

7 0

2 years ago

Help please <br> Evaluate f(x) at the given values of x.

mylen [45]

Replace x in the equation of f(x) and solve:

f(0) = sqrt(0) = 0

F(49/9) = sqrt(49/9) = 7/3

6 0

2 years ago

Read 2 more answers

Nia has numbers cards for 2,3,8,9,and 5.What are all the different ways Nia can arrange the cards to show only even numbers with

Natalija [7]

Answer:

any order where 2 is the last number in the sequence

Step-by-step explanation:

the ten-thousand place in 12,345 is 5.

ex: 3,8,9,5,2

5,9,8,3,2

8,9,5,3,2

5 0

3 years ago

There are 16 white balloons, 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements yo

katovenus [111]

Answer:

Step-by-step explanation:

hope i helped have a verey good day

4 0

3 years ago