Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = 
c = 
c = 
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = 
b = 
b = 
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = 
a = 
a = 
a = 9.42 m
Answer:
1/16
Step-by-step explanation:
Four cards numbered (1, 5, 8,9)
Given the sample space S= 4
1.The first selection with replacement
Probability of picking a 9= 1/4
2. Second selection, probability of picking a 9= 1/4
Hence the probability that both cards drawn have the number 9.
Is = (1/4)*(1/4)= 1/16
Six hundred eighty thousand and ten.
Answer:
-12
Step-by-step explanation:
you have to divide 48 to (-4) and it equals to -12
so you multiply -12 to (-4) and it gives you 48
