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1 year ago

The vertex of the parabola is at (-3,-2) which of the following could be its equation

Mathematics

2 answers:

Pepsi [2]1 year ago

7 0

Answer: D;x=-2(y+2)^2-3

Step-by-step explanation: since,(-3,-2) is the vertex of parabola this means that when y=-2, x must be equal to -3

but this is true only in D part

ki77a [65]1 year ago

3 0

D;x=-2(y+2)^2-3 is the equation

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Determine the value of (tangent of 88 degrees, 22 minutes, and 45 seconds). In this case, minutes are 1/60 of a degree and secon

mariarad [96]

Answer:

c. 35.34015106

Step-by-step explanation:

As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.

If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.

The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.

The angle is (in degrees) ...

88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600

≈ 88.3791666... (repeating) . . . . degrees

A calculator tells you the tangent of that is ...

tan(88.3791666...°) ≈ 35.3401510614

Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.

4 0

2 years ago

. Cara is playing a game. For each dart she can toss onto a board, she

Kaylis [27]

She will need 12 seconds because -20•12=-240

6 0

1 year ago

1600 dollars is placed in an account with an annual interest rate of 5.25%. How much will be in the account after 25 years, to t

Andru [333]

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab

a=\text{starting value = }1600

a=starting value = 1600

r=\text{rate = }5.25\% = 0.0525

r=rate = 5.25%=0.0525

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.0525=1.0525

\text{Write Exponential Function:}

Write Exponential Function:

y=1600(1.0525)^x

y=1600(1.0525)

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=1600(1.0525)^{25}

y=1600(1.0525)

y= 5750.0628984

y=5750.0628984

Evaluate

y\approx 5750.06

y≈5750.06

3 0

1 year ago

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it punctures the b

Julli [10]

Answer:

The correct option is;

16 inches

Step-by-step explanation:

The parameters of the motion given are;

The diameter, D of the bicycle = 16 inches;

The distance the bike moves (forward) after the screw punctures the tire = 56·π inches

We note that the circumference of the bicycle = π·D = π × 16 = 16·π inches

Therefore;

56·π inches/(16·π inches) = 3.5

Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.

The height, h of the screw in the final half turn is given by the relation;

h = A×cos(Bx - C) + D

A = Amplitude of the motion = Diameter/2 = 16/2 = 8

P = The period of the motion 2·π/B

B·x = The angle described by the motion = Half of one revolution = π = 180°

C = Phase shift = π

D = The midline = Diameter/2 = 8 inches

Therefore;

h = 8×cos(π - π) + 8 = 16 inches

After the bike moves forward another 56·π inches the height of the screw = 16 inches.

3 0

2 years ago

Given the function f(x) = −5x2 − x + 20, find f(3).

lana66690 [7]

f(x) = -5x^2 - x + 20;

f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;

3 0

1 year ago

Read 2 more answers