Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = =
cosq = =
Answer:
3 terms
Step-by-step explanation:
A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.
In the expression, , there are 3 terms here spared by either the negative sign or the positive.
The 3 terms are: .
Answer: (c)
The vector in the graph (c) has a magnitude of about
and the angle slightly less than 45 degrees from the x-axis as can be judged from the fact that it crosses the first box just below the point (-2,-2). This is the main distinction between (c) and (a) which is also similar in magnitude, however has an angle that is just larger than 45 degrees.
Answer:
Step-by-step explanation:
Given
The attached graph
Required
Find the equation of the graph
First, we have to get the coordinates of any two points on the graph;
Point 1:
When x = 0; y = 6
Point 2:
When x = -6, y = 0
So, at this stage;we have two coordinates
Next is to determine the slope of the line using the following formula
Substitute
becomes
Next is to determine the equation using slope formula
using
Multiply both sides by x
Add 6 to both sides
<em>Hence, the equation of the line is </em><em></em>