Ronald scored 34 points in a basketball game. in the first quarter he scored x points and in the second quarter, he scored 4 more than half of the points he scored in the first quarter. if he did not play for the rest of the game, how many points did he score in the second quarter?

He scored 14 points in the second quarter.

Step-by-step explanation:

x = first quarter, y = second quarter

x + y = 34

y = 0.5(x) + 4

Therefore,

   x + [0.5(x) + 4] = 34

or           1.5x + 4 = 34

or                 1.5x = 30

or                     x = 20

So,

   20 + y = 34

or         y = 14

a

step-by-step explanation:

a

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form