What is the directrix of the parabola with the following equation?
(y - 1)2 = -4(x - 1)

Answer:

x= square root (10); x=-square root (10) or 3.16 and -3.16

Step-by-step explanation:

Answer:

option d, because option a is about 135 degrees, and it isn't negative.

option d is the only choice which is between 90-180 degrees, and is also negative.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

y intercept: 250

slope: -10/3

Step-by-step explanation:

y intercept is where x = 0

slope is found by using the equation (y2 - y1) / (x2 - x1) = (200 - 250) / (15-0) = -50 / 15 = -10 / 3

The y intercept of the scatterplot is 250 sweat shirts and the slope is (10/3)

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the number of sweat shirts sold and x represent the temperature.

The y intercept is at (0, 250).

Using point (0, 250) and (15, 200):

Slope = (200 - 250) / (15 - 0) = 10/3

The y intercept of the scatterplot is 250 sweat shirts and the slope is (10/3)

Find out more on linear function at: https://brainly.com/question/2972832

Answer:

the answer is 24.

Step-by-step explanation:

Solve 3(8+5) first then once you get that subtract 15 from the answer you got.

Answer:

QUESTION:

56 students signed up to go on the class trip. If this is 70% of the class, how many students are in the class?

ANSWER:

I believe that the answer is that there are 80 students in the class.

I divided 56 by 70% in my calculator and got 80.

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

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Please thank me on my profile if this answer has helped you.

Answer:

80

Step-by-step explanation:

Answer:

y = [tex]\frac{4}{5}[/tex] x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{4}{5}[/tex] , then

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, 2 ) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = [tex]\frac{4}{5}[/tex] x + 6 ← equation of line

Answer:

Below.

Step-by-step explanation:

Use the point-slope form of a straight line.

y - y1 = m(x - x1)

Here m = 4/5, x1 = -5 and y1 = 2, so

y - 2 = 4/5(x - -5))

y - 2 = 4/5 x  + 4

y = 4/5x + 6 is the answer in slope-intercept form.

Standard form:

Multiply through by 5:

5y = 4x + 30

4x - 5y = -30 is the answer in standard form.

The natural world is full of relationships between quantities that change. When we see these relationships, it is natural for us to ask “If I know one quantity, can I then determine the other?” This establishes the idea of an input quantity, or independent variable, and a corresponding output quantity, or dependent variable. From this, we get the notion of a functional relationship in which the output can be determined from the input. For some quantities, like height and age, there are certain relationships between these quantities. Given a specific person and any age, it is easy enough to determine their height, but if we tried to reverse that relationship and determine age from a given height, that would be problematic, since most people maintain the same height for many years.

Therefore.....age is not a function of height!!

I HOPE I HELPED!!! HAVE AN AMAZING DAY/NIGHT!!! PLEASE MARK ME BRAINLIEST IF I HELPED YOU!!

Answer:

$30.00

Step-by-step explanation:

$27.60/0.92 = $30.00

Answer:

$30

Step-by-step explanation:

92% = $27.60

1% = $27.60/92

100% $27.60/92 x 100

100% = $30

NOTE: The / is a fraction

Hope this helps!

Answer:

B

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

∠ I + ∠ K = 180° , that is

91° + ∠ K = 180° ( subtract 91° from both sides )

∠ K = 89° → B

Answer:

i'm pretty sure its D

Step-by-step explanation:

if you make a graph yourself you'll see all the rel;relationship match except for d

Answer:

1464

Step-by-step explanation:

12x122=1464

Answer:

Distance between fence and diagonal piece = 7.48 feet (Approx.)

Step-by-step explanation:

Given:

Vertical fence height = 5 feet

Length of diagonal piece = 9 feet

Find:

Distance between fence and diagonal piece

Computation:

Using trigonometry theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²

Distance between fence and diagonal piece = √9² - 5²

Distance between fence and diagonal piece = √81 - 25

Distance between fence and diagonal piece = √56

Distance between fence and diagonal piece = 7.48 feet (Approx.)

Answer:

D

30×5/6 = 25

Step-by-step explanation:

:))

Answer:

a-2/3b

Step-by-step explanation:

Answer: a -2/3b

Step-by-step explanation:

1/2a- 1/3b - 1/3b+1/2a= a

Answer:

Step-by-step explanation:

Based on the data shown, there seems to be a very small association between age and pool type. Younger individuals seem to mainly prefer outdoor pools. Older individuals seem to still prefer outdoor pool but with a large percentage of that group preferring indoor pools, roughly 46%. This can be due to many reasons such as warmer temperatures in indoor pools, but there is not enough information to determine the reasoning.

Answer:

The answer is 126mm

~Please let me know if this is the correct answer! :-) If not, I'm sorry.~

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:3x +56

Step-by-step explanation:

This is the graph you need to answer the question. (This is not the answer)

Help!

Answer:

D.

Step-by-step explanation:

[tex]7(6x + 2) + 5x \\ 42x + 5x + 14 \\ 47x + 14[/tex]

what is the coordinate of the vertex for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (5, -1)

what is the coordinate of the focus for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (3, -1)

The vertex of the equation of a parabola [tex]- 8 (x - 5) = (y + 1)^2[/tex] by compared with the standard form of the equation of a parabola [tex]x = a (y - k)^2 + h[/tex] is,

⇒ (h, k) = (5, - 1)

Where, [tex](h, k)[/tex] is the vertex of the parabola.

We have to give that,

The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

The standard form of the equation of a parabola is,

[tex]x = a (y - k)^2 + h[/tex]

Where, [tex](h, k)[/tex] is the vertex of the parabola.

Here, The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

It can be written as,

[tex](x - 5) = \frac{(y + 1)^2}{-8}[/tex]

Add 5 on both sides,

[tex]x = \frac{(y + 1)^2}{-8} + 5[/tex]

Now, compare with the standard form of the equation of a parabola,

h = 5

k = - 1

Therefore, the vertex of the parabola is, (5, - 1).

To learn more about parabolas visit:

https://brainly.com/question/29635857

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Answer:1/3

Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.

Answer:

6/18=1/3

Step-by-step explanation:

here so the 6 is common with 18 and so that is 3

Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

Answer:

76%

Step-by-step explanation:

76 out of 100 is equal to 76%. This is the answer

Answer:

people are saying its b but maybe its d

Step-by-step explanation:

Answer:

no answer.

Step-by-step explanation:

you showed 1 part of the question, add more please.

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21