Answer:
y = x+6
Step-by-step explanation:
You can find an equation by using the 2-point form of the equation for a line:
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given values, we have ...
y = (9 -5)/(3 -(-1))·(x -(-1)) +5
y = (4/4)(x +1) +5 . . . . simplifying a bit
y = x +6
Answer:
Step-by-step explanation:
<h3><u>Statement:</u></h3>
- If a quadrilateral is inscribed in a circle, the opposite angles add up to 180 degrees.
<h3><u>According to the statement:</u></h3>
∠D + 88° = 180°
<em>Subtract </em>88 to both sides
∠D = 180° - 88°
∠D = 92°
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Answer:
10 times larger
Step-by-step explanation:
Answer:
Step-by-step explanation:
(5x+1)²>(2x+2)²+(4x)²
25x²+10x+1>4x²+8x+4+16x²
5x²+2x-3>0
5x²+5x-3x-3>0
5x(x+1)-3(x+1)>0
(x+1)(5x-3)>0
x+1=0,gives x=-1
5x-3=0,gives x=3/5
x >0(because 4x should be >0)
side is always positive.
so x>3/5
again 5x+1<2x+2+4x
5x-6x<2-1
-x<1
x>-1
x=all real values >3/5
The arrangement of mother's eye level, ground level and playground forms a right angles triangle.
The legs of this triangle are 12.6 m (eye level to ground) and 20 m (building to playground).
Using trigonometry and assuming the depression angle is Ф;
tan Ф = 20/12.6 = 1.5873
Ф = tan ^-1(1.5873) = 57.78°
