We know that
The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.
so
the point of intersection is
for an input value equal to
the output value for both functions is
therefore
the answer is the option
X= 4
Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know
Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC =
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
I think 20 Did you try googling it?
Answer:
17. 11x - 11y or 11x + (-11y)
18. -7.52 - 2.8 or -7.52 + (-2.8)
19. 41x - 21y - 6
20. -3y -8xy
Step-by-step explanation:
17. Use the distributive property.
18. Use the distributive property to multiply each number inside the parentheses by 0.4
19. Multiply each number inside the parenthese by 7.
20.Multiply each term in parenthese by y.
Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
