Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
= 
= 
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
Answer:
-45
Step-by-step explanation:
5 *-1 *-3= 15
4 *-3 *4= -48
3 *4 *-1=-12
15 -48 -12= -45
Answer:
x=3
Step-by-step explanation:
the sides MJ and MK should be equal so 12x-24 = 4x
if you isolate x you get 3
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
Answer:
Step-by-step explanation:
hello :
y+2=x²−2siny
calculate y' : y' = 2x -2y'cosy
when x= 2 and y=0 ( at the point(2,0)
) y' is the slope :
y' = 2(2)-2y'cos0 but cos0 =1
y' = 4 -2y'
3y' =4
so : y' = 4/3
