Rearrange to get x on its own on one side of the equation:
x = 57 - 11
x = 46
Answer:
1094
Step-by-step explanation:
The sum of terms of a geometric series is given by ...
Sn = a1·(r^n -1)/(r -1)
You want the sum for ...
a1 = 2, r = -3, n = 7
Filling in the numbers, we get ...
S7 = 2·((-3)^7 -1)/(-3-1) = 2(-2188)/(-4)
S7 = 1094
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The answers are:
Top Left - equilateral triangle (all three sides are equal)
Top Right - scalene triangle (no sides are equal)
Bottom Left - right angle triangle (one right angle)
Bottom Right - obtuse angle triangle ( one obtuse angle)
Answer:
Area of the bounded region = 4 sq units
Step-by-step explanation:
The region bounded by y-axis,x-axis and the given line is in the shape of a right-angled triangle which is right-angled at origin.
Hence :
Area of the bounded region = Area of the right-triangle formed
=
Base length of the Δ = x-intercept of the line
Height of the Δ = y-intercept of the line.
x-intercept is obtained by putting y=0 in the equation y=-2x+4
∴x-intercept = 2
y-intercept is obtained by putting x=0 in the equation y=-2x+4
∴y-intercept = 4
Area of the right-triangle = 