Answer:
The area of the triangle enclosed by the three points
A(1,1), B(1,4) and C(-3,4) in this question will be given by
|Ax ( By − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2
=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units
CHECK THE ATTACHED FIQURE FOR THE BRIDGE
Answer:
60 ft
Step-by-step explanation:
From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that
triangles ABC and EDC are congruent then we can say
side EC = side AC
3x + 9 = 5x - 5
Then we can simplify to know value of x
3x + 14= 5x
2x = 14
x = 7
But we know that AC= 5x - 5 , then substitute value of x into it
AC = 5x + 5 = 5(7) - 5
= 35 - 5
AC= 30 ft
Also EC= 3x + 9 then substitute value of x into it
EC = 3x + 9 = 3(7) + 9
= 21 + 9
EC= 30 ft
Then the the distance between the top and bottom of the bridge, in feet, = EC+AC
= 30 + 30 = 60 ft
Answer:
No, the origin is Located at (0,0)
Answer:
Aa 1
Step-by-step explanation:
Answer: 15
Step-by-step explanation: To evaluate an expression, we plug the value of the variable into the expression and simplify.
Since we have 7 - 2x and x is -4, we have 7 - 2(-4).
Simplifying from here, 2(-4) is -8 so we have 7 - (-8).
Now, remember that a a minus sign followed by a
negative sign turns the two signs into a plus sign.
So 7 - (-8) can be thought of as 7 + (+8) which is 15.