3 consecutive integers : x, x + 1, x + 2
x + (x + 1) + ( x + 2) = 267...combine like terms
3x + 3 = 267...subtract 3 from both sides
3x = 267 - 3
3x = 264
x = 264/3
x = 88
x + 1 = 88 + 1 = 89
x + 2 = 88 + 2 = 90
the largest will be 90
Answer:
<em>(a); (b); (d)</em>
Step-by-step explanation:
ΔGHK ≅ ΔMNP
(a). GH = MN
(b). KH = PN
(d). ∠G ≅ ∠ M
A graphing calculator can be helpful for these.
A) Since neither inequality includes the "or equal to" case, the boundary line for the solution set is a dashed line. For the first inequality, the shading is above the line; for the second, the shading is below the line. The solution set is points to the right of perpendicular lines with slope -2 and +1/2 through point (2, -1).
B) The point -2, 3 satisfies, neither inequality.
.. 3 > -2(-2) +3 . . . FALSE
.. 3 < 1/2(-2) -2 . . .FALSE
9514 1404 393
Answer:
- domain: [-6, -1)
- range: [-5, 4]
Step-by-step explanation:
You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...
[-6, -1)
__
The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...
[-5, 4]
No options are given for the question :
Answer:
t + 10 = 15
Step-by-step explanation:
Given that :
Length of pole = 15 feet
Height below the ground = t
Height above the ground = 10
Tge linear equation which represents the scenario can be modeled as :
Entire length of pole = 15 feets
Length above ground = 10
Length below ground = t
Length below + length above = total length
t + 10 = 15