Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then
So
Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
Answer:
67/100
Step-by-step explanation:
Find common denominators, note that what you do to the denominator, you must do to the numerator.
The common denominator is 100:
(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100
Add:
37/100 + 30/100 = 67/100
67/100 is your answer.
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Gradient is the slope, which is the letter m in the equation.
The point is written as (x1, y1) so replace x1 and y1 in the equation with the numbers in the given point.
A would be y - 1= 2(x-4)
B: y +5 = 5(x-2)
C: y-1= -3(x+1)
D: y -6 = 1/2(x-1)
E: y +1/4 = -2(x-3:4)
F: y+7 = -1/5(x+ 3)
Answer:First inequality: y >
Second inequality: y < 3 + x
Explanation:The inequality in slope-intercept form has the following general formula:
y < mx + c or y > mx + c (according to the given sign)
where m is the slope and c is the y-intercept
This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.
First given inequality:4x - 5y < 1
4x - 5y + 5y < 1 + 5y
1 + 5y > 4x
1 + 5y - 1 > 4x - 1
5y > 4x - 1
y >
comparing this to the general form, we would find that:
slope (m) = 4/5
y-intercept (c) = 1/5
Second given inequality:y - x < 3
y - x + x < 3 + x
y < 3 + x
comparing this to the general form, we would find that:
slope (m) = 1
y-intercept (c) = 3
Hope this helps :)
9514 1404 393
Answer:
- -3/4a^3b^2
- 3.2·10^-1
- -0.1a^(n+1)
Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
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B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
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C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
