Answer:
Add 4 + 1.5 First
Step-by-step explanation:
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Go down the list of PEMDAS in order from top to bottom
Answer: <em><u>5 11/12</u></em>
Step-by-step explanation:
Since they only walked on Monday, Wednesday and Thursday,
You have to add 3/4 + 1 2/3 + 3 1/2
So, 3/4 + 1 2/3 + 3 1/2 =
3/4 + 2/3 + 1/2 = 1 11/12
1 + 3 = 4
4 + 1 11/12 = 5 11/12
Answer: The required co-ordinates of point C are (9, -3.5).
Step-by-step explanation: We are given the points A(3, -5) and B(19, -1).
We are to find the co-ordinates of point C that sit 3/8 of the way along AB, where the point P is close to A than to B.
According to the given information, we have

So, point C divides the line segment AB in the ratio 3 : 5.
We know that
if a point Q divides a line segment joining the points S(a,b) and T(c,d), in the ratio m : n, then the co-ordinates of Q are

Therefore, the co-ordinates of point C are

Thus, the required co-ordinates of point C are (9, -3.5).
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.