A builder buys 28.5 acres of land to develop a new community of homes and parks.
1 answer:
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Answer:
Given: In triangle ABC , AD is drawn perpendicular to BC.
Since AD is drawn perpendicular to BC, it creates two right triangles: ADB and ADC.
Prove that:
Pythagoras triangle for right angle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
In a right angle triangle ADB;
[By Pythagoras theorem]
or
.......[1]
Now, in right angle triangle ADC;
[By Pythagoras theorem]
or we can write this as;
......[2]
Substituting the equation [1] in [2] we get;
hence proved!
<u>answer (in words)</u>
FALSE. the coordinate pair (5, 2) is not a solution to the equation . in order to figure out whether or not the statement is true or false, plug the
and
values from the coordinate pair (5, 2) into the given equation,
. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.
<em>(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)</em>
<u>answer (algebraic/steps for solving)</u>
first, plug in 5 for in the equation
.
⇒
then plug in 2 for .
⇒
now your equation is . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.
⇒
multiply 3 · 2.
⇒
add 10 + 6.
⇒
16 and 10 are <em>not</em> equal, therefore (5, 2) is not a solution to the equation . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.
i hope this helps! have a great rest of your day <3