Answer:
a. y = (3/5)× x +1
Step-by-step explanation:
y= mx+c
m = (13-4)/(20-5) = 9/15 = 3/5
c= 1
so, y= mx+c becomes y= (3/5) × x +1
f(x) = x³ - 2x² - 24x
x³ - 2x² - 24x = 0
x(x² - 2x - 24) = 0
x = 0
x² - 2x - 24 = 0
a = 1, b = -2, c = -24
Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100
x = (-(-2) - 10)/(2 * 1) = -8/2 = -4
x = (-(-2) + 10)/(2 * 1) = 12/2 = 6
Answer: 2)
Answer:
49.1 cm^2
Step-by-step explanation:
The appropriate area formula is ...
area = (1/2)(side 1)(side 2)(sin(angle between))
= (1/2)(10 cm)(12 cm)·sin(55°) = 60·sin(55°) cm^2
area ≈ 49.1 cm^2
Step-by-step explanation:
For oil container in the shape of a cylinder
radius (r) = 6 m
height (h) = 7 m
TSA of Cylinder
= <em><u>2πr ( r + h) </u></em>
= 2 * 3.14 * 6 ( 6 + 7)
= 2 * 3.14 * 6 (13)
= 2 * 3.14 * 6 * 13
= 489.84 square meter
<em>Now, </em><em> </em>
the total cost of the steel will be $18,613.92.
= 18613.92/489.84
= $38
Thus, The TSA of a cylinder is 489.84 square meter and $38 will the steel cost per square meter.
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope,
