B t = 4h -6h - 6 should be it
1) square root of 112 --> split into 2 radicals
2) square root of 16 and square root of 7
3) solve
answer: 4 square root 7
Answer:
one point
Step-by-step explanation:
A system of two linear equations will have one point in the solution set if the slopes of the lines are different.
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When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.
- ratio for first equation: 1/1 = 1
- ratio for second equation: 1/-1 = -1
These lines have <em>different slopes</em>, so there is one solution to the system of equations.
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<em>Additional comment</em>
When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.
y = mx +b . . . . . slope = m
When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.
ax +by = c . . . . . slope = -a/b
As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.
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If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.
Answer: 5t = 400-105
Step-by-step explanation:
Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .
Goal = 400 three–pointers every week.
Marissa has already shot = 105 three–pointers
Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)
i.e. 5t = 400-105 (required equation)
⇒ 5t = 295
⇒ t = 59
hence, she need to make 59 shots per day for next 5 days.
Answer: y + 1 = 2(x-6)
Step-by-step explanation:
Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)
Hope this was helpful! Please feel free to ask me any questions!
