Answer:
y=2x+5
Step-by-step explanation:
The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.
Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;
m=change is y-coordinates/change in x-coordinate
m=Δy/Δx
m=y-3/x--1
2= y-3 / x+1
2(x+1) = y-3
2x +2 =y-3
2x=y-3-2
2x=y-5
<u>y=2x+5 is the equation.</u>
( 0, 8 ) → B
Apply the given rule to the coordinates of point B (2, 5 )
thus B' = ( 2 - 2, 5 + 3 ) = (0, 8 )
Answer:
- September
Step-by-step explanation:
The temperature in Beijing, in m months after January, is given by the following equation:

In which m is the number of months after January.
During which month in the year would the temperature reach 55°F?
We have to find m for which: T(m) = 55. So




Now, we apply the inverse cosine, on both sides of the equation, to find the value of m.

Now, with the help of a calculator, in radians:





8.27 months after January, since 8.27 + 1 = 9.28, it happens during the month of September.
We are given the two sides of the right triangle therefore we can use the pythagorean theorem to solve for the third side. This theorem states that, in a right triangle the square of the hypotenuse is equal to the sum of the square of each leg.
c² = a² + b²
70² = 35² + b²
b = √70² - 35²
b = 60.62 feet
Step-by-step explanation:
2+3x=3x+2
3x=3x+2-2
3x=3x
x=3÷3
x=1
ANSWER:
x=1