( 2x − 27 ) ( −x + 15 )
= ( 2x + −27 ) ( −x + 15 )
= ( 2x ) ( −x ) + ( 2x ) ( 15 ) + ( −27 ) ( −x ) + ( −27 ) ( 15 )
= −2x^2 + 30x + 27x − 405
= −2x^2 + 57x − 405
Answer:

Step-by-step explanation:
<u>Right Triangles</u>
Right triangles have one of its interior angles with a measure of 90°.
In right triangles the Pythagora's Theorem is satisfied.
Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:

We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.
This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:



Answer:
(-3,4)
Step-by-step explanation:
A system of equations is given to us. The given equations are ,

We need to plot the graph and find the solution of the given system . For that refer to attachment . The point at which both the lines of the graph will intersect each other will be the solution of the given system of equations .
From the graph we can see that it intersect at (-3,4) . Therefore the Solution is ,

C=2pir
A=pir^2
45=pir^2
divide both sides by pi (aprox pi=3.141592)
14.32394785=r^2
sqrt both sides
3.784699176=r
sub
C=2pir
C=(2)(pi)(3.784699176)
aprox pi=3.141592
C=23.779961311m
Answer:
$48.5
Step-by-step explanation:
There are ten children and the total made is $485. So:
485/10 = $48.5