4x+2y-6z-x-3y+2z= 3x-y-4z
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Let

using a graph tool
see the attached figure
The figure is a triangle
we know that
<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.
Hero's Formula is equal to

where
p is is half the perimeter of the triangle
a,b,c are the lengths of the sides of a triangle
so
Step 
<u>Find the length sides of the triangle</u>
a) <u>Find the distance AB</u>

Substitute


b) <u>Find the distance AC</u>

Substitute


c) <u>Find the distance BC</u>

Substitute


Step
<u>Find the perimeter of the triangle</u>

<u>Find the half of the perimeter </u>

Step 
<u>Find the area of the triangle</u>



therefore
<u>the answer is the option </u>
a) 1.65 mi^2.
Answer:
Step-by-step explanation:
For what mileages will company A (which has a flat rate of $111) be less than the cost for company B
Company A < Company B
111 < 75 + 0.80m
solving
111 - 75 < 75 - 75 + 0.80m
36 < 0.80m
36/0.80 < 0.80m/0.80
as we are dividing by a positive number, we don't have to change the direction of the < sign.
45 < m
or m > 45
so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent
Answer:
380
Step-by-step explanation:
10%->38
100%-> 38÷10×100=380
To find the area of a triangle given its base and its height, use the formula A = bh/2.
The base of the triangle is 14m.
The height of the triangle is 10m.
Plug these values into the formula and solve.
A = bh/2
A = 14(10)/2
A = 140/2
A = 70
Answer:
The area of the triangle is 70 m².