Answer:
so...y=2
................
I NEED HELP!!! I DONT KNOW WHAT TO DO!
2 answers:
Answer:
C
Step-by-step explanation:
the equation of a line in slope-intercept form is
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 ( = (2, 3) and (x₂, y₂ ) = (4, - 7)
m = =
= - 5
y = - 5x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, 3 ), then
3 = - 10 + c ⇒ c = 3 + 10 = 13
y = - 5x + 13 ← equation in slope-intercept form (1)
Add 5x to both sides
5x + y = 13 ← equation in standard form (2)
We can also express the equation in point- slope form
y - b = m(x - a )
where (a, b ) is a point on the line → using (4, - 7), then
y + 7 = - 5(x - 4 ) ← equation in point- slope form (3)
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The Lego is submerged under the oil and therefore, is more dense than the oil
The possible density of the oil is the option;
<u>0.79 g/cm³</u>
Reason:
Given:
The density of Lego = 0.85 g/cm³
Density of oil = Required
Solution:
The density of an object is the mass per unit volume it occupies
Increase in density increases the mass a unit volume occupies, therefore, a
more dense object is heavier than a less dense object such that the less
dense object will float on a dense object
The oil is floating on the Lego, therefore, the Lego is more dense than the
oil, and we have;
- Density of Lego > Density of oil
The density of Lego = 0.85 g/cm³
Therefore;
0.85 g/cm³ > Density of oil
From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³
Therefore, the possible density of the oil is <u>0.79 g/cm³</u>
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