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Feliz [49]
3 years ago
13

Find the focus and directrix of the parabola y = .5(x + 2)2 – 3​

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

<h3>comparing equation with standard equation x </h3><h3>2</h3><h3> =4ay</h3><h3>a=2/5</h3><h3>co-ordinates of focus =(o,a) i.e. (0, 2/5)</h3><h3>equation of directrix=y=-a i.e. y=-(2/5)</h3><h3>length of latus rectum= 4a i.e. 8/5</h3><h3>co-ordinates of latus rectum=(-2a,a) and (2a,a) i.e. (-4/5,2/5) and (4/5,2/5)..</h3>

Step-by-step explanation:

<h3>And please marks me as brainliests..please and follow me...</h3>
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The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0
3 years ago
Chelsea takes the bus to school, but she walks home. The bus travels to the school at an average speed of 45 miles per hour. Whi
Neko [114]

Answer:

time walking=1-t hrs

ditace is same

therefore 2.5*(1-t)=45*t

2.5-2.5t=45t

t=2.5/46.5 hrs

this has only one solution since it is in linear form

4 0
3 years ago
Read 2 more answers
In the fifth year of operation the profit of a company was 3 times the profit it earned in the first year of operation if its pr
bogdanovich [222]
Let the profit at the first year be X
3x=114000
Solve for x by dividing each side by 3

3x/3=114000/3
X=38,000

So the profit was 38000
4 0
3 years ago
Solve the inequality -4&gt;-4 + h.<br> A. h&lt;0<br> B. h&gt;0<br> C. h&lt;3<br> D. h&gt;-8
artcher [175]

Answer:

A. H<0

Step-by-step explanation:

<em>Add by 4 from both sides of equation.</em>

<em>-4+4>-4+h+4</em>

<em>Simplify.</em>

<em>0>h</em>

<em>Then, switch sides to find the answer.</em>

<em>h<0</em>

<em>h<0 is the correct answer.</em>

6 0
3 years ago
Help help help help help help help help help help help help help help help help help help​
kvv77 [185]

Answer:

Step-by-step explanation:

Part 1

P(z < -1.45)

Using the z score table

P =

Part 2

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) P(X >52)

x = 52

Mean = 60

Standard deviation = 8

z = 52 - 60/8

z = -1

P-value from Z-Table:

P(x<52) = 0.15866

P(x>52) = 1 - P(x<52) = 0.84134

b) P(48 < x < 64)

5 0
2 years ago
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