Ok i) The equation for a slope is y= mx + c where m is the gradient and c the y-intercept. Ok so the gradient is the y rise / x run. You have selected -2 to 4. The rise is -2 and the run is 4. -2 / 4 = -0.5. So y = -0.5x - 2
ii) (0, -2)
iii) I think this one number i). Ill do i) here, -0.5
Answer:
no
Step-by-step explanation:
because they have different gradients
Answer:
SI = $1,200 ; A = $6,200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 5000 × 0.03 × 8 = 1200
I = $ 1,200.00
The simple interest accumulated
on a principal of $ 5,000.00
at a rate of 3% per year
for 8 years is $ 1,200.00.
The vertex would be (-2,4)
Answer: Choice C) {6, 9, 12}
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Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
