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natta225 [31]
3 years ago
5

Today you will need to look at the following problem and explain what Susan did incorrectly.

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer:

see explanation

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

(x - 3)² + (y + 4)² = 36 ← is in standard form

with (h, k) = (3, - 4 ) = centre and r = \sqrt{36} = 6

Susan interpreted the values of h and k incorrectly by using the values - 3 and 4 instead of taking the negative of them.

She also divided 36 by 2 , thus omitting the root of 36

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The length of a rectangle is 4 less than twice the width. The area of the
Zolol [24]

Answer:

Width: 7 Length: 10

Step-by-step explanation:

Width: x

length: 2x-4

Area: 70 meters squared

(2x-4)x=70

2x^2-4x=70

2x^2-4x-70=0

2(x^2-2x-35)=0

(x-7)(x+5)=0

x cannot be negative so x=7

8 0
3 years ago
Write the recursive formula then determine the next term of 3,10,24,52
Schach [20]

Answer:

  • f[1] = 3
  • f[n] = 2·f[n-1] +4
  • 108

Step-by-step explanation:

We observe that first differences of the given numbers are ...

  10 -3 = 7

  24 -10 = 14

  52 -24 = 28

That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.

We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.

Then our recursive relation is ...

  f[1] = 3 . . . . the first term

  f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4

The next term is 2·52 +4 = 108.

7 0
4 years ago
Find the circumference of the circle if the radius is 4 inches
Kitty [74]

Answer:

25.13

Step-by-step explanation:

C = d(\pi)

d = r(2) in this case 4(2) = 8 = d

so 8(\pi) = C

C ≈ 25.13

3 0
3 years ago
Read 2 more answers
Which matrix represents the system of equations shown below?
Kazeer [188]

So matrix which show equation 4x+2y=4 is  \left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right] .

Given that we have an equation that is 4x+2y=4

So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).

So in order to write this equation in matrix form we have to write it into augmented matrix

So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.

Therefore the matrix will be:

\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]    .

Learn more about augmented matrix on brainly.com/question/16796667

#SPJ9

5 0
1 year ago
Solve: 5x-3+2x = 5x+3 show your work
AURORKA [14]

Answer:

x = 3

Step-by-step explanation:

5x - 3 + 2x = 5x + 3

<em>subtract 5x from both sides</em>

5x - 5x - 3 + 2x = 5x - 5x + 3

-3 + 2x = 3

<em>add 3 to both sides</em>

-3 + 3 + 2x = 3 + 3

2x = 6

<em>divide both sides by 2</em>

2x/2 = 6/2

x = 6/2

x = 3

5 0
3 years ago
Read 2 more answers
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