Let one acute angle be X and one be Y
X+Y=90 -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
Y=64°
The relationship between the number of painters and sculptors enrolled in the art school can be considered a direct variation.
<h3>Direct variation</h3>
A direct variation as implied above means, the linear relationship between the number of painters and sculptors enrolled in the art school are directly proportional.
- In essence, as the number of sculptors in the art schools increase, the number of painters increases too. This is because, more painters are needed to paint increasing work volume of the sculptors.
Read more on direct proportion;
brainly.com/question/1266676
Answer: it is D)
Step-by-step explanation:
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
Answer:
m = 1 / 6
Step-by-step explanation:
Use this formula y2 - y1 / x2 -x1 to find the slope.
6 - 5 / 8 -2 = 1/6
