Answer:
y = 2/3x - 2
Step-by-step explanation:
Given :
Slope, b = 2/3
y - intercept, c = - 2
The equation of a line can be expressed in slope intercept form as :
y = bx + c
b = slope ; c = y - intercept
Hence, line equation becomes ;
y = 2/3x - 2
Answer:
3 5
/6
Step-by-step explanation:
Conversion a mixed number 5 1
/2 to a improper fraction: 5 1/2 = 5 1/
2
= 5 · 2 + 1
/2 = 10 + 1
/2 = 11
/2
To find new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2
/2
= 10
/2
b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11
c) Write previous answer (new numerator 11) over the denominator 2.
Five and one half is eleven halfs
Conversion a mixed number 1 2
/3 to a improper fraction: 1 2/3 = 1 2/
3 = 1 · 3 + 2
/3 = 3 + 2
/3
= 5
/3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3
/3
= 3
/3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 11
/2 - 5
/3
= 11 · 3
/2 · 3 - 5 · 2
/3 · 2 = 33
/6 - 10
/6 = 33 - 10
/6
= 23
/6
Simplify : 23/6 divide =3 5/6
2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
Answer:
a) e(0,2)
b) 1
c) read below
d) read below
Step-by-step explanation:
Midpoint:
to calculate the midpoint e of a segment
e((x1+x2)/2, (y1+y2)/2)
so (-1+1)/2 and (3+1)/2
e(0,2)
Slope formula:
the slope of a straight line between two points is
so between e and B it's equal to (4-2)/(2-0) = 1
Condition for perpendicularity : slope(AC) = -1/slope(eB) = -1
so we calculate the slope of a straight line through A and C
(1-3)/1-(-1) = -2/2 = -1 so they are perpendicular
Area:
eB is the height of the triangle as it's perpendicular to the base, so applying the standard formula Area = (AC*eB)/2 we can find the area
