What is the equation of the line in standard form which has slope -4/5 and y

Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (–9, 0.

Georgia [21]

The standard equation of parabola:

(y-k)²=4p(x-h), with:

a) vertex = (h,k)

b) focus = (h+p, k)

c) directrix = (x=h-p)

Since this parabola has a vertex at (0,0) that means h=k=0

Hence the equation becomes: y²=4px, let's calculate p:
focus is given (-9,0) Remember h+p = -9 & since h=0, then p= -9
===> y²= - 36x

8 0

4 years ago

What is the probability of having 53 Sunday in the year 2024

irina1246 [14]

Answer:

here in ques it is not specifically said that the year is leap year or non leap year . so i am writing the answer for both conditions.

considering a non leap year

see we have 365 days in a non-leap year.

52 weeks and one extra day= 365 days

52 weeks means definitely there are 52 sundays (this is true for all other days also).

that means if the extra day comes out to be sunday then we will have 53 sundays.

so now the ques boils down to what is the prob of this extra day to be a sunday .

this extra one day can be {monday or tuesday or wednesday or thursday or friday or saturday or sunday }= samplespace (s)

i.e n(s) = 7

so prob of this extra one day to be a sunday is 1/7.

[note - this is also the answer for having 53 mondays or 53 tuesdays or 53 wednesdays or 53 thursdays or 53 fridays or 53 saturdays.]

considering a leap year

leap year contains 366 days

52 weeks plus two two extra days

52 weeks means definitely there are 52 sundays (this is true for all other days also).

if either of these two is sunday then we will have 53 sundays

these two days can be {mon, tue} or { tue , wed} or { wed , thurs} or {thurs , fri} or { fri, sat} or { sat , sun} or {sun , mon} i.e total =7

out of these only two outcomes i.e { sat , sun} and {sun , mon} is having sunday with them .

so our desired prob is 2/7.

Step-by-step explanation:

8 0

3 years ago

Liz and Sara are making cookies for a bake sale. The graph shows the number of cookies that Liz bakes during a 5-hour period.

Radda [10]

Statements

case A) Sara had baked more cookies at the start of the $5$ hours than Liz

The statement is True

we know that

At the start of the $5$ hours Liz has baked $220$ cookies-----> see the graph

Find the number of cookies that Sara has baked for $x=5$ hours

$y=45x+38$

$y=45*5+38=263$

$263 > 220$

therefore

Sara had baked more cookies at the start of the $5$ hours than Liz

case B) Sara bakes $45$ cookies each hour

The statement is True

we know that

The number of cookies baked each hour is equal to the slope of the linear equation

The linear equation is

$y=45x+38$

The slope is $m=45\frac{cookies}{hour}$

case C) Liz bakes $19$ cookies each hour

The statement is false

Find the slope of the Liz graph

The slope is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

$A(0,19)\ B(4,179)$

Substitute the values

$m=\frac{179-19}{4-0}$

$m=40\frac{cookies}{hour}$

case D) Liz bakes more cookies each hour than Sara

The statement is False

Sara bakes $45$ cookies each hour

Liz bakes $40$ cookies each hour

6 0

4 years ago

Find the area of the parallelogram that has a base of 23 cm and a height of 17 cm.

astraxan [27]

The area of the parallelogram is 391 cm².

The area of a parallelogram is calculated by multiplying the base by the height.

A=b×h

A=23 cm×17 cm

A=391 cm²

8 0

3 years ago

Read 2 more answers

Plzzzzz help meee plz due today soon

katovenus [111]

Answer:

a

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the equation of the line instandard form which has slope -4/5 and y - intercept 3​

What is the equation of the line instandard form which has slope -4/5 and y - intercept 3