Answer:
21/7= 3
Step-by-step explanation:
Answer:
Answer: The fraction 4/10 written as a decimal number is equal to 0.4.
The decimal 0.4 is equal to the fraction 2/5
Step-by-step explanation:
Answer:
EC, DE, CD
Step-by-step explanation:
∠D=34° ∠C=47° ∠E= 180-34-47=99°
∠D < ∠C < ∠E
By the theorem: If one angle in a triangle is larger than another angle in a triangle, then the side opposite the larger angle will be longer than the side opposite the smaller angle.
EC < DE < CD
Answer:
x=−2−√5 or x=−2+√5
Step-by-step explanation:
-5x2 - 20x + 35 = 30
Answer = x=−2−√5 or x=−2+√5
To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are <span>A(1,1), B(0,2), and C(3,-2).
Midpoint of AB = (1/2, 3/2) - You can get the midpoint by getting the average of x-coordinates and y-coordinates.
Slope of AB = -1
Slope of perpendicular bisector = 1
</span>Equation of AB with slope 1 and the coordinates (1/2, 3/2) is
<span>y - (3/2) = (1)(x - 1/2)
</span><span>y = x+1
Do the same for AC
</span>Midpoint of AC = (2, -1/2)
Slope of AC = -3/2
Slope of perpendicular bisector = 2/3
Equation of AC with slope 2/3 and the coordinates (2, -1/2) is
y - (-1/2) = (2/3)(x - 2)
y = -11/6 + 2x/3
So <span>the perpendicular bisectors of AB and BC meet
</span>y = x+1
y = -11/6 + 2x/3
To solve for x,
(-11/6 + 2x/3) = (x+1)
x= -17/2
Now get y by substituting
y = (-17/2) + 1
y = -15/2
The circumcenter is (-17/2, -15/2)
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