Answer:
x = 12
Step-by-step explanation:
The two angles are complementary since they form a 90 degree angle.
35+ 4x+7 = 90
Combine like terms
42 +4x = 90
Subtract 42 from each side
42-42 +4x =90-42
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
a f(a) is the function f(x) where x is replaced by a.
So we have
(3x^2 + x + 3 - (3a^2 + a + 3)) / ( x - a)
= (3x^2 - 3a^2 + x - a) / (x = a) Answer
b (3(x + h)^2 + x + h + 3 - (3x^2 + x + 3)) / h
= (3x^2 + 6xh + 3h^2 + x + h - 3x^2 - x - 3) ) / h
= (6xh + h + 3 h^2) / h
= 6x + 3h + 1 Answer
Answer: 36 units squared.
Explanation:
Area of a traingle is given by,
| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |
Accepting the values of the coordinates in x's and y's,
x1 =0, y1=0
x2=3, y2=8
x3 =9, y3=0
= | 0.5 × (-72)|
= 36 unit squared.
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
