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Mnenie [13.5K]
3 years ago
15

Solve this equation using an algebraic method.

Mathematics
1 answer:
kupik [55]3 years ago
7 0
(x+4) (x-4) = 9 
(x^2 - 16) = 9
x^2 = 25 
x=5 & x = -5 
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The area of a square is 25 square yards. How long is each side of the square
enot [183]
So to solve for the area of a square you use the formula s^2. so in order to get the side length you just square root 25 which is 5
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What is the answer I don’t understand how to do this what is the answer
horsena [70]

Answer:

Moe each point A, B, and C 3 units right and 4 down. For example, the point of B is (3, 4) so the new coordinate pair would be (6, 0)

Step-by-step explanation:

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3 years ago
) Suppose that a subset of five balls will be randomly selected from an urn containing amber, blue, and green balls. (a) If the
vazorg [7]

Answer:

0.0023 = 0.23% probability that all 5 balls selected will be the same color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

Either 5 amber from a set of 6, or 5 blue from a set of 5. So

D = C_{6,5} + C_{5,5} = \frac{6!}{5!1!} + \frac{5!}{5!0!} = 6 + 1 = 7

Total outcomes:

5 balls selected from a set of 6 + 5 + 4 = 15. So

T = C_{15,5} = \frac{15!}{5!10!} = 3003

Probability:

p = \frac{D}{T} = \frac{7}{3003} = 0.0023

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5 0
3 years ago
write an expression to describe a rule for the sequence. Then find the 100th term in the sequence 3, 10, 17, 24, 31, 38, ...
blagie [28]
As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
3 0
3 years ago
An artist is creating a stained glass design. She uses a lead border around each piece. The radius of the circle is 2 ¼ in. Use
NARA [144]

Answer:

The correct answer is -

a. 4.5 inches.

b. side or arm (a)

c. (a) or 4.5, and 18

d. (d) 4.5, and 14.1428

e. 22/7 × r^2 = 15.90

Step-by-step explanation:

Given :

Radius or r = 2 ¼ inches

Solution:

a. the diameter of the circle -

d = 2r

= 2 ¼  *2

= 2.25*2

= 4.5

b. The diameter of the circle is the same length as one side or arm of the square which is

a = d = 4.5

c. The perimeter of the square

P = 4a = 4d = 4*4.5 = 18

d. Perimeter of the circle =

2πr = πd = (22/7)*4.5

= 14.1428

e. the area of the circle =

22/7 × r^2

= 15.90

4 0
3 years ago
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