Answer:
The y-intercept
Step-by-step explanation:
The interception of a linear model represent where the line crosses the y-intercept. So in other words what is "x" when "y" equals zero. In some math problems you can tell what is "y" or the y-intercept by looking at the information given to you.
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Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
No. Because no can be -1, either the solution is positive or the person wasn't born.
Mickey's bowling score is 167 and Minnie's bowling score is 61
Step-by-step explanation:
The given is:
1. Mickey's bowling score is 16 less than 3 times Minnie's score
2. The sum of their scores is 228
We need to find the score of each one
Assume that the score of Minnie is x
∵ Minnie's score = x
∵ Mickey's score is 16 less than 3 times Minnie's score
- That means subtract 16 from 3 times Minnie's score
∴ Mickey's score = 3 x - 16
∵ The sum of their scores is 228
- Add their scores and equate the sum by 228
∴ x + 3 x - 16 = 228
- Add like terms in the left hand side
∴ 4 x - 16 = 228
- Add 16 for both sides
∴ 4 x = 244
- Divide both sides by 4
∴ x = 61
Substitute the value of x to find their scores
∵ Minnie's score is x
∴ Minnie's score = 61
∵ Mickey's score is 3 x - 16
∴ Mickey's score = 3(61) - 16 = 167
Mickey's bowling score is 167 and Minnie's bowling score is 61
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Answer:
Area of triangle= 35
x = 4
Step-by-step explanation:
The formula for area of rectangle = length x width.
Area of triangle = (1/2)bh
It's stated these two areas are equal:
(5)(3x - 5) = (1/2)(x + 3)(10)
Distribute on both the left side and the right side.
15x - 25 = (5)(x + 3)
15x - 25 = 5x + 15
Subtract 5x from both sides and add 25 to both sides.
10x = 40
Divide:
x = 4
Plug this back into the area of triangle:
= (1/2)(x + 3)(10)
= (1/2)(4 + 3)(10)
= (1/2)(7)(10)
= (1/2)(70)
= 35