Step-by-step explanation:
a)
first step: find the gradient slope of line AB
A(-1,-2) B(7,2)
gradient=change in y/change in x
M=[2-(-2)]/[7-(-1)
M=4/8
M=1/2
the gradient of the straight line is given by
M1*M2=-1
1/2*M2=-1
multiply both sides by the reciprocal of 1/2
2*1/2*M2=-1*2
M2= -2.
b)
first find the mind point of line AB
A(-1,-2) B(7,2)
M.P=(x1+x2)/2 ,(y+y2)/2
M.P=(-1+7)/2 ,(-2+2)/2
M.P=6/2 ,0/2
M.P=3,0
ALSO THE GRADIENT PERPENDICULAR TO LINE AB IS;
M= -2
equation of a line perpendicular to AB and passes through the midpoint of AB
Y-Y1=M(X-X1). (3,0). M=-2
y-0=-2(x-3)
y= -2x+6
The answer to this question would be Exponent will be 2
946 divided by 78 comes out to be: <span>12.1282051282</span>
Answer:$2346
Step-by-step explanation: Assuming that the students' numbers start at 1, we have 1+2+3+4.....+65+66+67+68 as the total amount of money raised. We can see that 1+68 = 69 and 2+67 also equals 69. So, we can use this method to figure out how many 69s are in the sum. Since 68 divided by 2 is 34, there are 34 69s in the sum. 34x69 = 2346.
Answer:
The measure of the third angle is 
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
Let
x ---> the measure of the third angle in degrees
The linear equation that represent this situation is
solve for x
