Answer:
- there are no solutions (lines do not intersect)
- there is one solution (lines intersect at one point)
- there are an infinite number of solutions (lines overlap—are the same line)
Step-by-step explanation:
"A system of linear equations" covers a lot of territory. In Algebra 1, it usually means two linear equations in two unknowns. Each of those equations will graph as a line on a coordinate plane.
A solution is a point that satisfies all the equations. That is, it is a point that is on all the lines described by the system of equations.
The geometry of lines on a plane comes into play with regard to solutions.
- The lines may be parallel, hence never intersect. (<em>No points</em> will be on all the lines.)
- The lines may intersect at <em>one point</em>.
- The lines may be the same line, overlapping, identical, coincident, consisting of <em>all the same points, an infinite number</em>.
Answer: 2.66 hours
Step-by-step explanation:
Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.
Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.
Together in 1 hour they can paint 1/8 + 1/4 = 3/8
Total hours for painting is 3/8 or 2.66 hours
You multiply 75 by 0.8 because that is the percentage of the price you pay after 20% is taken
final answer is $60
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
</span></span></span></span>
<span>Cone Volume = (PI * 8^2 * 13.5) / 3
</span><span>Cone Volume = (3.14 * 64 * 13.5) / 3
</span>Cone Volume = 2,712.96 / 3
Cone Volume = 904.32 cubic feet
<span>Cone Volume = 904 cubic feet (rounded)
Source:
http://www.1728.org/volcone.htm
</span>
Answer:
that is wrong beth has a better score
Step-by-step explanation:
14 out of 40 is 37.5%
and 24 out of 50 is 48%