Answer:
23/100 or 23/10
Step-by-step explanation:
2.3/1
(2.3 x 10) / (1 x 10) =23/10
find lcm (lowest common multiple) for 23 and 10
1 is the lcm for 23 and 10
23/10 is a simplest fraction for the decimal point number 2.3
X-3y=-15
-3y=-x-15
-1(-3y=-x-15)
3y=x+15
3/3y=1/3x+15/3
y=1/3x+5
Answer:
10
Step-by-step explanation:
Since line 1 // line 2,
11/22=5/x [Theorem]
1/2=5/x
x=10
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Y - y1 = m(x - x1)
slope(m) = -56
(8,-4)...x1 = 8 and y1 = -4
now we sub...pay close attention to ur signs
y - (-4) = -56(x - 8)....not finished yet
y + 4 = -56(x - 8) <===