3/2x-7=-11
We move all terms to the left:
3/2x-7-(-11)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
3/2x+4=0
We multiply all the terms by the denominator
4*2x+3=0
Wy multiply elements
8x+3=0
We move all terms containing x to the left, all other terms to the right
8x=-3
x=-3/8
x=-3/8
B) y = -2x
when x = a
y = -2a
when x= 2a
y = -2(2a) = -4a
Answer:
Not justified
Step-by-step explanation:
ADA requirements are for a slope of 1 in 12 or less, an 8.3% grade, or an angle of 4.8° (actually, 4.764° when rounded to 3 decimal places). The ramp angle found by the assessor is compliant.
The tenant complaint does not seem justified.
Answer:
The results don't make sense
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
"x" is the number of children's tickets
"y" is the number of adult tickets
Thus:
8 * x + 8.75 * y = 259
x + y = 35 => x = 35 - y
replacing we have:
8 * (35 - y) + 8.75 * y = 259
280 - 8 * y + 8.75 * y = 259
- 8 * y + 8.75 * y = 259 - 280
0.75 * y = -21
y = -21 / 0.75
y = -28
Thus:
x = 35 - (-28) = 63
With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.
Answer:
54.5 Sq. cm
Step-by-step explanation:
<em>area of a right angled triangle = 1/ 2 × base × height </em>
(here, the base is 8 and height is 6)
= 1/ 2 × 6 × 8
= 4 × 6
<u>= 24 Sq. cm</u>
<em>area of a circle</em> = 
r²
(r is the radius that is diameter/ 2, and the value of is 3. 14)
= 3. 14.× (5)²
= 3.14 × 25
<u>= 78.5 Sq. cm</u>
area of the shaded region = area of Circle - area of triangle
= 78.5 - 24
<h3>= 54.5 Sq. cm</h3>
that is option 3
