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Alex
2 years ago
12

How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1

Mathematics
1 answer:
Kitty [74]2 years ago
5 0

Step-by-step explanation: Explanation:

y

−

2

=

3

(

x

−

1

)

3

x

−

y

=

3

−

2

=

1

x

1

3

+

y

−

1

=

1

is the intercept form of the equation.

Now we know the two points on the line as

(

1

3

,

0

)

,

(

0

,

−

1

)

By plotting the two points on a graph sheet and joining them gives the line required.

graph{3x - 1 [-10, 10, -5, 5]}

Hope this helps!!!

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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
What is the value of y?
Schach [20]

The total angles of a triangle must add up to 180 degrees, so y = 64 degrees

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Answer:

A

Step-by-step explanation:

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