Answer:
Step-by-step explanation:
3x-y = 2
2x+y =4
put them into slope intercept form
y=3x-2
y=-2x+4
Now, you can either graph it or use substitution
3x-2 = -2x+4
+2x +2x
5x -2 = 4
+2 +2
5x = 6
5x/5 = 6/5
x = 6/5
3x -2 = y
3(6/5) -2 = y
3 x 6 / 1 x 5 = 18/5
3 3/5 -2 = 1 3/5
Let me know if it's wrong.
Hope this helps
For this case we have that the generic equation of the line is given by:

Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:

On the other hand we have:

Substituting values we have:
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
Answer:
Step-by-step explanation:
Three equal sides, so lets find one by solving for x
6x + 16 = 9x-11
-3x = -27
x = 9
6(9) + 16 = 70
9(9) - 11 = 70
70(3) = 210 cm
The two number are 39 and 13
<em><u>Solution:</u></em>
Let the two numbers be "a" and "b"
Let the larger number be "a" and the smaller number be "b"
<em><u>Given that, sum of two numbers is 52</u></em>
a + b = 52 ---------- eqn 1
<em><u>One number is 3 times as large as the other number</u></em>
Larger number = 3 times smaller number
a = 3b -------- eqn 2
<em><u>Let us solve eqn 1and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
3b + b = 52
4b = 52
b = 13
<em><u>Substitute b = 13 in eqn 2</u></em>
a = 3(13)
a = 39
Thus the two number are 39 and 13
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
To learn more about convex sets:
brainly.com/question/12577430
#SPJ9