Answer:
y = x-2
Step-by-step explanation:
y = mx + b as an equation
m = slope
slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁) = (y₁-y₂)/(x₁-x₂) = (2-(-2))/(4-0) = 4/4 = 1
y = 1*x + b
plug a value in, e.g. (0, -2)
-2 = 1 * 0 + b
-2 = b
our equation is thus
y = x - 2
Answer:
Step-by-step explanation:
Since the numbers are consecutive, the square root of the product will be a value between them.
√132 ≈ 11.49
so, the consecutive numbers are 11 and 12. (11×12 = 132)
The catcher's number is smaller, so is 11; the pitcher's number is 12.
Answer: x = 6, Angle ABC = 45, Angle DBC = 34
Step-by-step explanation:
79 = (5x + 4) + (8x - 3)
79 = 13x + 1
78 = 13x
x = 6
8x - 3 plug in 6 for x
8(6) - 3
Angle ABC = 45
5x + 4 plug in 6 for x
5(6) + 4
Angle DBC = 34
Answer:
Answer:
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
