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2 years ago

What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?

Mathematics

1 answer:

Scilla [17]2 years ago

8 0

Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

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Dora has two savings account. The

victus00 [196]

Dora has 4,095 dollars left after she loans her mother money.

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3 years ago

Read 2 more answers

You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di

Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

$tan\alpha=\frac{opposite}{adjacent}$

Therefore:

For the triangle ABD:

$tan(36\°)=\frac{x}{DC+11}$ [EQUATION 1]

For the triangle ACD:

$tan(46\°)=\frac{x}{DC}$ [EQUATION 2]

Solve from DC from [EQUATION 2]:

$DC=\frac{x}{tan(46\°)}$

Substitute into [EQUATION 1] and solve for x:

$tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x$

$x=26.81ft$ ≈26.8ft

7 0

3 years ago

Verify and show work csc x - cos x • cot x = sin x

Vladimir79 [104]

Answer: The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

5 0

2 years ago

Solve for b to the nearest hundredth:

lawyer [7]

The right answer is B (b=-0.243)

7 0

3 years ago

How many triangles can be constructed with angles measuring 60°, 60°, and 40°?

aleksandrvk [35]

Answer:

None

Step-by-step explanation:

Because the 3 angles do not add up to 180 degrees.

6 0

3 years ago