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:
120
Step-by-step explanation:
15 x 16/2
You double 8 because your rotating around the y-axis
Answer:
53/50
Step-by-step explanation:
9/15 + 14/12
Simplify.
9/15 + 7/6
Make denominators equal.
54/90 + 105/90
Add fractions since denominators are equal.
159/90
Simplify.
= 53/50
Answer:
see below
Step-by-step explanation:
Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2
find the angle arctan (sqrt3/-1) = 120 degrees
the cube root would then be
(cos 40 + isin 40)
Answer:
Part 1
a. .27 < .50
b. .33 < .75
c. 4.60 > 3.89
d. .76 > .08
e. .09 < .11
f. 3.33 > 3.30
Part 2
.27(2)= .54
.50(1)= .50
.27(2)= .54 is larger than .50 because if it was money, .54 is greater than .50
Step-by-step explanation: