3/8 + 3/8 = 6/8 The grandson will receive 2/8 or 25% of the 150k
so .25 * 150,000 = $37,500
The area of a triangle can be determined as half the product of two sides multiplied by the sine of the angle between them. In this case,
A = (1/2)(AB)(AC)(sin A) = (1/2)(6)(15)(sin 48) = 33.44 square units.
1. If a and b vary inversely and b = 8 when a = 6:
b = k/ a
8 = k / 6
k = 6 * 8
k = 48
Function is:
b = 48 / a
2. When a = 30:
b = 48 / 30 = 8/5
b = 1.6
The graph of a quadratic function y = ax² is a VERTICAL parabola open upward or downward depending whether a (the coefficient of x) is positive or negative
The graph y² = ax or y = √ax is a HORIZONTAL parabola open to the right or to the left depending whether a (the coefficient of x) is positive or negative
Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
