Answer:x+2y=6
Step-by-step explanation: Given points: (4,1) and (-4,5)
To find equation we need a slope and a point through which the line passes.
slope = (y1-y2)/(x1-x2)
= 1-5/4-(-4)
= -4/8
= -1/2
let the first point be the passing point,
eq. of a line: (y-y1)=slope(x-x1)
=(y-1)=-1/2(x-4)
=2y-2=-x+4
=x+2y=6
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
Answer:
This looks hard very hard, use khan Academy
Step-by-step explanation:
Answer:
x = 3.5 ; y = -1.5
Step-by-step explanation:
Answer:
a, c) see below
b) trapezoid
d) 80 square units
Step-by-step explanation:
a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.
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d) The area of the original is ...
A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5
Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.
The area of the larger trapezoid is ...
5 × 16 = 80 . . . . square units
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Of course, you can use the area formula, too:
A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units
