Answer:
68
Step-by-step explanation:
The expression is given as:
4( 3+ 7y) + 6(2 - y)
It is known that y is equal to 2. Therefore, substitute 2 in for y.
4(3+7(2))+6(2-2)
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Solve inside of the parentheses first.
4(3+7(2))+6(2-2)
4(3+14)+6(0)
4(17)+6(0)
Multiply
68+0
Add
68
Answer:
Part 1) There are infinity locations for the point B
Part 2) see the explanation
Step-by-step explanation:
Part 1) How many possible locations are there for point B?
we know that
The equation of a line in point slope form is equal to
where
substitute
Convert to slope intercept form
Point B can be any point ( different from point A) that satisfies the linear equation
therefore
There are infinity locations for the point B
Part 2) Describes a method to location the point
To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate
Example
Suppose that the x-coordinate of point B is 4
For x=4
substitute in the linear equation
so
The coordinates of point B is (4,10.5)
Answer:
7 feet below sea level
Step-by-step explanation:
he was at 3 then you subtract 10 feet because he dives.
Answer:
-2w + 4
Step-by-step explanation:
Remove parenthesis because they make life semi-confusing but remember to distribute the negative: w^2 + 3w -w^2 - 5w + 4
Combine like terms: w^2 - w^2 cancel out ; 3w - 5w = -2w ; 4
-2w + 4
Answer:
D. 264°
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
60° = 1/2[(18x - 6)° - (5x +17)°]
60° * 2 = (18x - 6 - 5x - 17)°
120° = (13x - 23)°
120 = 13x - 23
120 + 23 = 13x
143 = 13x
143/13 = x
11 = x
x = 11
(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°
(5x +17)° = (5*11 +17)° =(55+17)° = 72°
m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°
m (arc KNL) = 264°
