Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Work the information to set inequalities that represent each condition or restriction.
2) Name the
variables.
c: number of color copies
b: number of black-and-white copies
3)
Model each restriction:
i) <span>It
takes 3 minutes to print a color copy and 1 minute to print a
black-and-white copy.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He needs to print
at least 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) And must have
the copies completed in
no more than 12 minutes ⇒</span>
3c + b ≤ 12<span />
4) Additional restrictions are
c ≥ 0, and
b ≥ 0 (i.e.
only positive values for the number of each kind of copies are acceptable)
5) This is how you
graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the
first quadrant.
iv) The final region is the
intersection of the above mentioned shaded regions.v) You can see such graph in the attached figure.
Answer:
1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
(a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares.
DO NOT ANSWER UNLESS YOU CAN EXPLAIN THIS TO ME CORRECTLY
In fraction 1/2 in decimal 2.5
Answer:
The line passing through the points (2, -14) and (4, -24)
Step-by-step explanation: