Answer:
Step-by-step explanation:
Hello : let A(2,3) B(4,6)
the slope is : (YB - YA)/(XB -XA)
(6-3)/(4-2) = 3/2
an equation is : y=ax+b a is a slope
y = (3/2)x +b
the line through point (2,3) : 3 = (3/2)(2)+b
b = 0
the equation is : y =(3/2)x
Answer:
The answer to your question is 43 ft
Step-by-step explanation:
Data
angle = Ф = 35°
length = 75 ft
height = ?
Process
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.
sin Ф = Height / length
-Solve for height
height = length x sin Ф
-Substitution
height = 75 x sin 35
-Simplification
height = 75 x 0.574
-Result
height = 43 ft
Answer:
<u><em>9 months</em></u>
Step-by-step explanation:
Principal= P= $1200
Rate=R= 15%
Interest= I= $135
Time= T= ?
I=P*R*T/100
135= 1200*15*T/100
135*100=18000*T
13500/18000=T
T= 0.75 years
T= 0.75*12= 9 months
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
