Answer:
- We're provided : Slope of straight line ( m ) = 12 & y - intercept ( c ) = - 5 and We're asked to find out the equation for this straight line.
- You'll have to know : Equation of straight line in slope intercept form : y = mx + c where m is the slope & c is the y-intercept.
- Using Slope - intercept form of equation of straight line :
- Plug the values :
- Hence , 12x - y - 5 = 0 is the required equation.
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Step-by-step explanation:
15.4% of the nuts are pecans.
0.154x = 77
x = 500
There are 500 pounds of mixed nuts in the batch.
(i) XYZ = 180 - 64
= 116 degrees
Opposite angles in a cyclic quadrilateral add up to 180 degrees
(ii) YXZ = 23 degrees
Alternate angles in a segment are the same
(iii) OXZ = 26
XOZ = 64 x 2
= 128 degrees
The the angle at the centre is double the angle at the circumference.
180 - 128 = 52
OXZ = 52/2
= 26
Triangle OZX is an isosceles triangle
(Don't forget to include the reasons above full marks)
Solution: Let 
be the number of birds and 
be the number of cats.
Therefore, there were 14 birds at the shelter on Friday
