The first thing we are going to do in this case is find the slope of the GH line.We have then:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (- 2-1) / (2 - (- 4))
m = (- 3) / (6)
m = -1 / 2
Then, the generic equation of the line is:
y-yo = m (x-xo)
Since the lines are parallel, then the slope is the same
m = -1 / 2
The line passes through point J, that is:
(xo, yo) = (1, 3)
The equation of the line will then be:
y-3 = (- 1/2) (x-1)
Rewriting:
y-3 = (- 1/2) x + 1/2
y = (- 1/2) x + 1/2 + 3
y = (- 1/2) x + 7/2
The points that pass through this line are:
(-3, 5)
5 = (- 1/2) (- 3) +7/2
5 = 3/2 + 7/2
5 = 10/2
5 = 5
(3, 2)
2 = (- 1/2) (3) +7/2
2 = -3 / 2 + 7/2
2 = 4/2
2 = 2
(5, 1)
1 = (- 1/2) (5) +7/2
1 = -5 / 2 + 7/2
1 = 2/2
1 = 1
Answer:
(-3, 5)
(3, 2)
(5, 1)
★ QUADRATIC RESOLUTION ★
Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions
D < 0
b² - 4ac < 0
4² - 4 ( 5 ) < 0
16 - 20 < 0
-4 < 0
Hence it's character is stated above
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
The answer
<span>the amount of gold per cubic meter can be found by the ratio
0.78 g /1 </span><span>.5 cubic meters = 0.52 g / cubic meter,
proof
it was said </span><span>the amount of gold per cubic meter (Density)</span>
Answer:
-23, 
Step-by-step explanation:
We need slope intercept form but do not have the needed information. We will gather this information by using point slope form. The point-slope formula is 
where we substitute a point (x,y) for 
.
We have slope represented as m=6 and (3, -5). We input m and 
.
We now simplify the parenthesis and solve for y to have slope intercept form.
The y-intercept is b of slope intercept form y=mx+b. Here b=-23.
5.8 × 10⁻¹ = 0.58
7.4 × 10⁰ = 7.4
0.58 - 7.4 = -6.82
so
(5.8 × 10⁻¹) - (7.4 × 10⁰) = -6.82 × 10⁰
