<h3>
Answer:</h3>
- 1 1/8 in
- 4 7/8 cm²
<h3>
Step-by-step explanation:</h3>
In both cases, you make use of the relationship between the length and width of a rectangle and its area. We take for granted that you are comfortable with arithmetic using mixed numbers and/or fractions. The applicable formula for the area (A) of a rectangle in terms of its length (L) and width (W) is ...
A = L·W
Fill in the given values and solve for the remaining one.
1.
3/4 in² = (2/3 in)·W . . . . . divide by the coefficient of W to find W.
(3/4 in²)/(2/3 in) = W = 9/8 in = 1 1/8 in
2.
A = (1 1/2 cm)·(3 1/4 cm) = (3/2·13/4) cm² = 39/8 cm²
A = 4 7/8 cm²
It’s the same now in decimals is 2.35215804 it goes on
Step-by-step explanation:
first we need to find the slope of the line.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
we see here
x changes by -4 (from -4 to -8).
y changes by +3 (from -5 to -2).
so, the slope is +3/-4 = -3/4
there are two main forms for the equation of a line :
the slope-intercept form
y = ax + b
and the point-slope form
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
we can pick any point, and I would pick (-4, -5).
so we get as point-slope form
y + 5 = -3/4 × (x + 4)
or for the slope intercept form we simplify the point-slope form
y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3
y = -3/4 x - 8
4x - 3y = 0
-3y = -4x
y = (-4/-3)x
y = 4/3x....so ur slope is 4/3....a perpendicular line will have a negative reciprocal slope...all that means is " flip " ur slope and change the sign...so the slope we need is -3/4 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = -3/4
(3,-8)...x = 3 and y = -8
now we sub and solve for b, the y intercept
-8 = -3/4(3) + b
-8 = -9/4 + b
-8 + 9/4 = b
- 32/4 + 9/4 = b
- 23/4 = b
so ur perpendicular equation is : y = -3/4x - 23/4