Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),
Where
Thus,
thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,
Thus, from the theorem of similar triangles,
solving for y, we have
thus, YC = 10.
Answer:
16 cm^2 and 49 cm^2
Step-by-step explanation:
The ratio of areas is the square of the ratio of linear dimensions, so is ...
(4/7)^2 = 16/49
The sum of these "ratio units" is 16 +49 = 65. The sum of triangle areas is 65 cm^2, so each "ratio unit" must stand for 1 cm^2 of area. That is, the triangles must have areas of ...
I think you can solve it by
=(x^2 - y^2) *( x^2 + y^2)
= (x -y)*(x+y)*(x^2 + y^2)
The first draft of the civil rights act was proposed by 3. John F. Kennedy
