She should ask the teacher if it is correct or not
Answer:
The slope is -2
Step-by-step explanation:
To find the slope of a line when we have 2 points, we use the formula
m = (y2-y1)/(x2-x1)
= (3-9)/(4-1)
= -6/3
-2
Answer:
The expression 5(4x - 7) + 3(3x + 3) can be simplified to 29x - 26
Step-by-step explanation:
The first step in solving this is to apply coefficients to the contents of the brackets:
5(4x - 7) + 3(3x + 3)
= 5 × 4x - 5 × 7 + 3 × 3x + 3 × 3
= 20x - 35 + 9x + 9
Now you can group like terms:
20x - 35 + 9x + 9
= 20x + 9x - 35 + 9
= (20 + 9)x - 26
= 29x - 26
And that is the final answer.
Answer:
x = 2 1/3
y = 14 / (2 1/3) = 14 / (7/3) = 14*3/7 = 42/7 = 6
y = 6
x = 4 1/5
y = 14 / (4 1/5) = 14 / (21/5) = 14*5/21 = 70/21 = 3 7/21 = 3 1/3
y = 3 1/3
x = 7/6
y = 14 / (7/6) = 14*6 / 7 = 12
y = 12
Step-by-step explanation:
Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
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