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Leokris [45]
3 years ago
13

Express f(x) in the form a(x-h)^2+k for f(x)=x^2-8x+21

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
X^2-8x+21

=x^2-2(4)(x) +16+5
=(x-4)^2+5

here a=1
h=4
k=5
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Find the values of the six trigonometric functions of theta with the given constraint.
Evgesh-ka [11]

Answer:

The six trig ratios at 3pi/2 are:

sin(3pi/2)=-1

cos(3pi/2)=0

tan(3pi/2) (undefined)

csc(3pi/2)=-1

sec(3pi/2) (undefined)

cot(3pi/2)=0

Step-by-step explanation:

If tangent is undefined then cosine would have to be 0 given that tangent is the ratio of sine to cosine.

cosine is 0 at pi/2 and 3pi/2 in the first rotation of the unit circle.

3pi/2 satisfies the given constraint.

The six trig ratios are therefore:

sin(3pi/2)=-1

cos(3pi/2)=0

tan(3pi/2)=-1/0 (undefined)

Reciprocal values:

csc(3pi/2)=-1

sec(3pi/2) undefined since cos(3pi/2)=0

cot(3pi/2)=0/-1=0

4 0
3 years ago
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There was 2/3 fruitcake leftover. Elizabeth ate 1/5. How much of the whole fruitcake did she eat?
Snezhnost [94]
This is fraction multiplication. We need to find 1/5 of 2/3 of the cake.
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7 0
3 years ago
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Find the missing length. Round to the nearest<br>tenth, if necessary. pls help<br>​
BartSMP [9]

a^2-c^2=b^2

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5 0
4 years ago
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AnnZ [28]
Answer twenty nine the answers 29 because 4 + 8=12+6=29
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3 years ago
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the height of each door on the plan is given 1,5cm but the height of each door is 1,92m is an actual size.show that the scale of
andreev551 [17]

Answer:

It is.

Step-by-step explanation:

1.5cm is in the plan.

1.92m is in real life.

We need to convert m to cm so 1.92m=192cm

The ratio is 1:128.

1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.

We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):

1.5 : 192 = 1 : 128

Then we multiply the numbers that are in and out of the equation like this:

1.5 * 128 = 192 * 1

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