Answer:
x = 2
Step-by-step explanation:
From the data, we obtain the slope :
-1, 8 ; 3, - 4
Slope = Rise / run
Rise = y2 - y1 = (-4 - 8) = - 12
Run = x2 - x1 = (3 - (-1)) = 4
Slope, m = - 12 / 4 = - 3
Recall:
Equation of line :
y - y1 = m(x - x1)
y - 8 = - 3(x + 1)
y - 8 = - 3x - 3
y = - 3x - 3 + 8
y = - 3x + 5
Substituting y = - 3x + 5 into the equation 2x+4y= 0
2x + 4(-3x + 5) = 0
2x - 12x + 20 = 0
-10x = - 20
x = 2
Answer:Assuming x is an odd number, the expression for three consecutive odd numbers would be x+x+2+x+4, which simplifies to 3x+6.ep-by-step explanation:
Answer: 3.5 in
Step-by-step explanation
∡DOC=90°
DC=7
OC=5
Using Pytagora equation:
DO=√DC²-OC²
DO=√49-25
DO=2√6
Use Equation for area of triangle:
area of ΔDOC=a*Ha/2
DC=a=7
Ha=x---hight of ΔDOC
Area of ΔDOC=DO*OC/2
2√6*5/2=5√6
5√6=7*x/2
10√6=7*x
x=10/7√6
x=24.5/7
X=3.5 in