Answer:
The point slope form is: (y - 5) = 6/11(x - 7)
Step-by-step explanation:
Giving points are: (7, 5) and (-4, -1)
Find the slope m:
m = (y - y1)/(x - x1)
m = (5 - (-1))/(7 - (-4))
m = 5 + 1/7+ 4
m = 6 / 11 = 6/11
Use the point slope form with point (7, 5) and solve for y:
(y - y1) = (x - x1)
(y - 5) = 6/11(x - 7) - this is the point slope form
y - 5 = 6/11x - 42/11
y = 6/11x - 42/11 + 5
y = 6/11x - 42/11 + 55/11
y = 6/11x + 13/11 - This is the y intercept form
Proof, use (7, 5):
f(x) = 6/11x + 13/11
f(7) = 6/11(7) + 13/11
= 42/11 + 13/11
= 55/11 = 5, giving (7, 5)
Answer:
Hey there!
We have the equation: y2-y1/x2-x1.
So, we have: 8-2/8-6.
6/2, or 3.
Hope this helps!
Answer:
then value is 0.0228
Step-by-step explanation:
Maximum weight capacity= Y1
Elevator's loaf = Y2
probability that is overloaded :
P(Y2 > Y1)
TakingP( Y2 - Y1) > 0
E[Y1 - Y2 ] = 500 - 4000 = 1000
P( Y2 > Y1) = P( Y2 - Y1 > 0 ) = P( Y1 - Y2 < 0 ) ;
E[Y1 - Y2] = 500-4000 = 1000
P (Y2 > Y1 )
then
P (Y1 - Y2 < 0)
P((Y1-Y2)-1000)/50 = (0-1000/500)
P((Y1 - Y2 ) - 2)
then value is 0.0228
9514 1404 393
Answer:
342 mm²
Step-by-step explanation:
The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...
A = 1/2bh
A = (1/2)(9 mm)(76 mm) = 342 mm²
The triangle shown has an area of 342 mm².
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<em>Additional comment</em>
The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)
