The outside temperature at midnight today in Polina’s hometown was 18 degrees Fahrenheit. The temperature increases by 1.2 degrees Fahrenheit each hour over the next 15 hours. Polina’s school does not send students outside for recess if the outside temperature is 32 degrees Fahrenheit or lower. Recess at her school always starts on the half hour or hour. Which statement is true about recess at Polina’s school?Only students who have recess at 11:00 a.m. or later may go outside.
Only students who have recess at 11:30 a.m. or later may go outside.
Only students who have recess at 12:00 p.m. or later may go outside.
Only students who have recess at 12:30 p.m. or later may go outside.

Answer:

the standard form of a quadratic equation is ax² + bx + c

the vertex form is a(x - h) + k where h & k are the x and y coordinates

to get from standard form to vertex form, you would have to follow this formula to find h:

-b/2a

plug in the values, and you will get the value of h.

to get k, you plug in the value you have just found in the above formula into the original equation, and that is the value of k.

the a in the vertex form is the value of a in the standard form

so an example of this would be: x² + 2x + 4 where a = 1, b = 2 c = 4

to get this into vertex form we will use the formula -b/2a and solve:

-2/2(1) --> -2/2 = -1

now we plug in the value we found into the original equation wherever x is

(-1)² + 2(-1) + 4 --> 1 - 2 + 4 = 3

we have both h and k, and we will put this into vertex form:

a(x - h)² + k turns into ---> (x + 1)² + 3

why x+1 and not x-1? the original equation has a negative sign, and the result we have is negative. this conflicts with the original equation and is therefore turned into a positive 1

where did a go? since a = 1, we do not need to write it, if a was equal to 2 then we would write the 2 in front

It's not as complicated as you think. The smaller rectangle is 3ft with a width of 5ft. It's asking what the length of the larger canvas is if the width is 10ft. So you pretty much just do 10/5 which is 2 then you multiply 3ft by 2 and you get 6ft.

If you need any help just ask :)

-John

Answer:

x=7

Step-by-step explanation:

The line y = 8 is a horizontal line through 8 on the y-axis. A perpendicular line will be a line vertically through it of the form x = a where a is the x-coordinate.

Since the line crosses through (7,6) then the form of the line is x = 7.

Answer:

Hay 14 zurdos

Y 26 derechos

Step-by-step explanation: