4x + 3y = 26
x = 3/2y + 2
solving for y:
4 (3/2y + 2) + 3y = 26
6y + 8 + 3y = 26
9y + 8 =26
9y = 18
y = 2
solving for x:
x = 3/2(2) + 2
x = 3 + 2
x = 5
done.
**optional: use second equation to check
Answer:
i think its c
sorry if im wrong!
Step-by-step explanation:
Represent 24 as a sum of two numbers, first number from first die and second number from second die.
24=19+5=18+6=17+7=16+8=14+10=13+11=12+12=11+13=10+14=9+15=8+16=7+17=6+18=5+19=4+20 (the sums 15+9 and 20+4 are absent, because there aren't numbers: 20 on the first die and number 9 on the second die). Totally, you receive 15 different representations of 24.
<span>The probability that the sum of the two numbers facing up will be 24 is
</span><span>
</span><span>
![P= \frac{15}{20\cdot 20} = \frac{3}{80}](https://tex.z-dn.net/?f=P%3D%20%5Cfrac%7B15%7D%7B20%5Ccdot%2020%7D%20%3D%20%5Cfrac%7B3%7D%7B80%7D%20)
(here
![20\cdot 20](https://tex.z-dn.net/?f=20%5Ccdot%2020)
means that you have 20 possibilities to roll first number or blank face on the first die and 20 possibilities to roll number or blank face on the second die).
</span>
The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
<h3>What is the value of sin (π/2)?</h3>
The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.
Suppose the value of this function is <em>x</em>. Thus,
![x=\sin^{-1}(1)](https://tex.z-dn.net/?f=x%3D%5Csin%5E%7B-1%7D%281%29)
Solve it further,
......1
The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,
![\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1](https://tex.z-dn.net/?f=%5Csin%5Cdfrac%7B%5Cpi%7D%7B2%7D%3D-%5Csin%5Cleft%28-%5Cdfrac%7B%5Cpi%7D%7B2%7D%5Cright%29%3D1)
Put this value in the equation 1,
![\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)](https://tex.z-dn.net/?f=%5Csin%28x%29%3D%5Csin%5Cleft%28%5Cdfrac%7B%5Cpi%7D%7B2%7D%5Cright%29%3D-%5Csin%5Cleft%28-%5Cdfrac%7B%5Cpi%7D%7B2%7D%5Cright%29)
Thus, the range will be,
![\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B%5Cpi%7D%7B2%7D%2C-%5Cdfrac%7B%5Cpi%7D%7B2%7D%5Cright%29)
Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
Learn more about the sine values here;
brainly.com/question/10711389
The greatest common factor for 5 and 10 is 5