-x + 2 = x+4 help please!
2 answers:
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Answer:
The direction angle of vector v is equal to
Step-by-step explanation:
Let
The vector v is given by
Remember that
The direction angle of the vector is equal to
substitute the values
(x - 4 )² + ( y - 2 )² = 5 → d
the equation of a circle in standard form is
(x - a )² + ( y - b)² = r²
where (a , b) are the coordinates of the centre and r is the radius
the centre is at the midpoint of the endpoints of the diameter and the radius is the distance from the centre to either of the 2 endpoints of the diameter.
to find the centre use the midpoint formula
(a , b) = [ (6 + 2) ,
(3 + 1 )] = (4 , 2)
to find r use the distance formula with points (4 , 2) and (6 ,3 )
r = √(6 - 4)² + ( 3 - 2)² = √( 4 + 1 ) = √5 ⇒ r² = 5
(x - 4)² + (y - 2)² = 5 is the equation
Answer:
The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.
Equation :---
Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.
Answer:
The height of the fox in Huseyin's drawing is, 16 units
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement: Huseyin draws a fox with a scale of 3 units on his graph paper represents 15 cm. The fox has an actual height of 80 cm.
⇒ We are given Scale of 3 units.
On graph paper the length of fox is 15 cm.
The fox has an actual height = 80 cm
let x be the height in units of the fox in Huseyin's drawing.
By definition of proportion;
by cross multiply we get;
Simplify:
240 = 15x
Divide both sides by 15 we get;
x = 16 units.
Therefore, the height of the fox in Huseyin's drawing is, 16 units