Answer:
y = 7x
Step-by-step explanation:
Complete question:
Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
(x0, y0) = (0,0)
Given the equation of the line as 7x - y = -7;
Rewrite and get the slope
-y = -7x - 7
y = 7x+7
Get the slope
mx = 7x
m = 7
Substitute into the equation
y - 0 = 7(x - 0)
y = 7x
Hence the required equation is y = 7x
Answer:
36π + (18√29)π
Step-by-step explanation:
π × r² + π × r × √(r² + h²)
π × 6² + π × 6 × √(6² + 15²)
36π + (18√29)π ≈417.621
130 +145 +65+160+120 = 620
the total inside angles for a 6 sided polygon should = 720
so x = 720-620 = 100
B is the answer
Answer:
Correct answer: F. graph F or x ∈ |-5 ; 5| (including endpoints)
Step-by-step explanation:
Let us first define the absolute value:
| x | = 1. { x with condition x ≥ 0 }
or 2. { - x with condition x < 0 }
This is a linear inequality
1. x ≤ 5 ∧ x ≥ 0 ⇒ 0 ≤ x ≤ 5 or interval x ∈ |0 ; 5| (including endpoints)
2. - x ≤ 5 when we multiply both sides of the equation by -1 we get:
x ≥ -5 ∧ x < 0 ⇒ -5 ≤ x < 0 or interval x ∈ |-5 ; 0) (including -5)
The solution to this linear inequality is the union of these two intervals:
x ∈ |-5 ; 0) ∪ |0 ; 5| ⇒ x ∈ |-5 ; 5| (including endpoints)
x ∈ |-5 ; 5| (including endpoints)
God is with you!!!