Ling tried to solve an equation step by step. \qquad\begin{aligned} -2q+11&=-32 \\ -2q&=-43&\green{\text{Step } 1} \\ q&=21.5&\blue{\text{Step } 2} \end{aligned}
−2q+11
−2q
q
​

=−32
=−43
=21.5
​

Step 1
Step 2
​

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

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

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13