The point (-2, 5) is not included in the solution area
<h3>The graph of the inequalities</h3>
The system of inequalities is given as:
y > 5x + 5
y > -2x+1
See attachment for the graph.
Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded
<h3>The solution area</h3>
The point is given as:
(-2, 5)
The point (-2, 5) is not in the shaded area of the system of inequalities
Hence, the point is not included in the solution area
Mathematically, we have:
5 > 5 * -2 + 5 ⇒ 5 > -5 --- true
5 > -2 * -2 +1 ⇒ 5 > 5 --- false
Since both inequalities are not true, then the point is justified
Read more about system of inequalities at:
brainly.com/question/19526736
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Step-by-step explanation:
1) In the figure, as AB is equal to AE, ABE is an equilateral triangle.
As AP is perpendicular to BE
=> AP is the height of the triangle ABE.
In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle.
=> P is the midpoint of BE
=> PE = PB
2) In the figure, as AC = AD, so that ACD is an equilateral triangle.
As AP is perpendicular to BE, so that it is perpendicular to CD as well
=> AP is the height of the triangle ACD
In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle ACD.
=> P is the midpoint of CD
=> PC = PD
We have:
+) PB = PE
+) PC = PD
=> PB - PC = PE - PD => BC = DE
Answer$33.60
Step-by-step explanation:
First I added 23 and 6 to get $29
Then I figured out that 20 percent of 23 was 4.6 and added that to 29.
I came out with an answer of 33 dollar and sixty cents.
You can just multiply the area of the base times the height. The base is a triangle which has an area of bh/2. If we let b=base, h=height (of the triangle base) and H=the height of the prism, then:
V=Hhb/2, in this case:
V=17*2*1/2
V=17m^3
Answer:
3y = 8x + 18
for y-intercept let x = 0
3y = 8(0) + 18
3y = 18
y = 6
y-intercept is (0, 6)
THIS IS TRUE
