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Aloiza [94]
3 years ago
10

What number should be added to both sides of the equation to complete the square?

Mathematics
2 answers:
Jet001 [13]3 years ago
8 0

Answer:

9 should be added.

Step-by-step explanation:

Anettt [7]3 years ago
4 0
Take 1/2 of -6 and square it
-6/2=-3
(-3)^2=9
9 should be added
x^2-6+9=5+9
(x-3)^2=14


9 should be added
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Find the volume of the cylinder in terms of pi.
Allushta [10]

Answer:

\large\boxed{V=81\pi\ in^3}

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have r = 3in and H = 9in. Substitue:

V=\pi(3^2)(9)=\pi(9)(9)=81\pi\ in^3

5 0
3 years ago
Triangle ABC is congruent to triangle XYZ, as shown below.
il63 [147K]

Answer:

the first answer

Step-by-step explanation:

if a and x are the same and a has an angle of 45 degrees that means that x has an angle of 45 degrees

4 0
3 years ago
Read 2 more answers
Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch
Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30  (3).

Writing equations (1) and (3) in matrix form, we have

\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]

Using Cramer's rule to solve for x and y,

x = det \left[\begin{array}{ccc}9&1\\30&5\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\

x = (9 × 5 - 30 × 1) ÷ (1 × 5 - 1 × 2)

x = (45 - 30) ÷ (5 - 2)

x = 15 ÷ 3

x = 5

y = det \left[\begin{array}{ccc}1&9\\2&30\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\

y = (30 × 1 - 9 × 2) ÷ (1 × 5 - 1 × 2)

y = (30 - 18) ÷ (5 - 2)

y = 12 ÷ 3

y = 4

So Philip made 5 bracelets and 4 necklaces.

3 0
3 years ago
Jim is hiking 4 1/2 mile trail.He has already hiked 2 5/8 miles.How much further does he have to hike?
musickatia [10]

Answer:

1 7/8

Step-by-step explanation:

2 5/8

+1 7/8= 4 1/2

  1. 7=3+4
  2. 5+3=8
  3. 2 5/8 + 3/8= 3
  4. 3 + 1= 4
  5. 4 + 4/8= 4 4/8
  6. 4 4/8 = 4 1/2

3 0
3 years ago
The radius of a circle is 3 feet. What is the circle's area?
Dafna1 [17]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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