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3 years ago

Algebra 2 help please!

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

h(-8)=1 and -12

Step-by-step explanation:

In this problem, we will need to plug in "-8" for any x we see.

h(-8)=|-8+4|-3

h(-8)= |-4|-3

h(-8)=4-3

h(-8)=1

Yay! We got an answer. However, since there is an absolute value, there is another case -- if x is negative.

h(-8)=-8-4

h(-8)=-12

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Using the given information write the equation of parabolas:

lana [24]

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

8 0

3 years ago

To change the shape of a function, you need to stretch or _It.

kkurt [141]

Answer:

compress

Step-by-step explanation:

Correct me if I'm wrong

3 0

3 years ago

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Show that y=cos(t)y=cos(t) is a solution to (dydt)2=1−y2(dydt)2=1−y2. Enter your answers below in terms of the independent varia

GrogVix [38]

Answer:

$(\frac{dy}{dt})^2=sin^2t$

Step-by-step explanation:

$y=cost$

DE : $(\frac{dy}{dt})^2=1-y^2$

If y is a solution of given DE then it satisfied the DE.

Differentiate w.r.t t

$\frac{dy}{dt}=-sint$

Using the formula

$\frac{d(cosx)}{dx}=-sinx$

LHS: $(\frac{dy}{dt})^2=(-sint)^2=sin^2t$

RHS

$1-y^2=1-cos^2t=sin^2t$

By using the formula

$sin^2t=1-cos^2t$

LHS=RHs

Hence, y is a solution of given DE

$(\frac{dy}{dt})^2=sin^2t$

7 0

3 years ago

Which decimal is equivalent to 2.5%

Vesna [10]

Answer:

0.025

Explanation:

Divide the percentage by 100 to convert it to decmals.

for example 20%=

100

=.2

30%=

100

2.5%=

2.5

100

.025

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3 years ago

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Evaluate 105*95 using identities

Nikolay [14]

Answer:

9975

Step-by-step explanation:

See attachment.

( 105 ) * ( 95 )

(100+5) * (100-5)

100*100 * (1 + 5/100) * ( 1 - 5/100)

10000 * ( 1 - 5/100 + 5/100 - {25/10000} )

- 5/100 + 5/100, they cancel each other out to 0

10000 * ( 1 + 0 - {25/10000} )

10000 * ( 1 - {25/10000} )

10000 - {25*10000/10000}

10000 - {25}

9975

6 0

3 years ago