9514 1404 393
Answer:
(x, y) = (61/23, 36/23)
Step-by-step explanation:
We assume you intend the equations to be ...
Then in general form, they are ...
5x -4y -7 = 0
2x +3y -10 = 0
The solution using the "cross multiplication method" is ...
1/(15 +8) = x/(40+21) = y/(-14 +50)
(x, y) = (61/23, 36/23)
_____
<em>Comment on "cross multiplication method"</em>
When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...
the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.
- d1 = (5)(3) -(2)(-4)
- d2 = (-4)(-10) -(3)(-7)
- d3 = (-7)(2) -(-10)(5)
Answer: P =38.7 in, A=63.7in^2
Step-by-step explanation: start by using the formula for area of a triangle: A =bh/2 and plug in values given for the larger triangle to find the height. 115=9h/2,. 230 =9h h= 25.556
Subtract from perimeter to get an estimate of the third side: 62-34.556=27.45
Realize now that the drawing is not to scale!
Use the dimensions of the larger triangle to and the proportion 6.7/9 = smaller / larger to find other dimensions of the smaller triangle. Add the sides to get perimeter. Multiply bh/2 to get the Area. Choose the answer that is closest to your calculations as the numbers are estimated. We cannot assume that this is a right triangle.
Answer:
85.7
Step-by-step explanation:
Given that two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.
Section A total score = 15*80=1200
Section B total score 20*90 = 1800
Overall total score=3000
Overall total students = 15+20 =35
Hence overall mean = 
rounding off to one decimal place
overall mean = 85.7
Answer:
600
Step-by-step explanation:
x max = 
a = -5
b = 6
-6/2(-5) = 6/10 = 3/5 = .6
.6 thousand = 600
600 speakers should be sold.
Alternatively, you can check the vertex of the parabola formed.
