Answer: 12
Step-by-step explanation:
2x + 8 = 3x - 4
In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!
Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.
2x + 8 - 8 = 3x - 4 - 8
Simplify!
2x = 3x - 12
Now, let's subtract 3x from both sides.
2x - 3x = 3x - 12 - 3x
Simplify!
-x = -12
Divide both sides by -1.
-x ÷ -1 = -12 ÷ -1
Simplify.
x = 12
<u>Answer-</u>
<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>
<u>Solution-</u>
The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.
For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.
Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)
If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.
Applying distance formula we get,

As,




Therefore, the vertex at K (-4, 8) is the orthocentre.
The amount of apples picked by the farmers is:
Farmer A=38%=0.38
Farmer B=22%=0.22
Farmer C=0.29
Farmer D=0.2
Thus the order from the least to greatest by th number of apples they pick will be:
D,B,C,A
that is:
Farmer D, Farmer B, Farmer C, Farmer A
Answer:
225 students
Step-by-step explanation:
Total number of students = 900 students
percent that bring lunch to school everyday = 25%
Number of student that bring lunch to school = 25% of 900
Number of student that bring lunch to school = 0.25 * 900
Number of student that bring lunch to school = 225
Hence 225 students bring lunch to school everyday