Answer:
y = (2/3)x - 1, slope-intercept form
Step-by-step explanation:
3x + 2y = - 8
2y = -3x - 8
y = (-3/2) x - 4
Slope of this line is -3/2.
For the perpendicular line slope is 2/3.
Point - slope form is
(y - y1) = m(x - x1)
Point is (3,1). Slope m = 2/3.
y - 1 = (2/3)*(x - 3)
y - 1 = (2/3)x - 2
y = (2/3)x - 1, slope-intercept form
x - Alma's given number
15•x - the number multiplied by 15 (the correct answer)
5•x - the number multiplied by Alma (Alma's answer)
her answer is 150 less than the correct answer:
5•x = 15•x - 150
15x - 150 = 5x
15x - 5x = 150
10x = 150
<u>x = 15</u>
Answer:
AB = 4
BC = 4
AC = 8
Step-by-step explanation:
Given, B is the midpoint of AC which means it divided the AC into two equal parts. Using this information we can write the following equation:
5x - 6 = 2x add 6 to both sides
5x = 2x + 6 subtract 2x from both sides
3x = 6 divide both sides by 3
x = 2 to find the length of AB, AC, and BC replace x with 2
AB = 5*2 - 6
BC = 2*2
AC = 8 (sum of AB and BC)
<h3>
Answer: C) 2.47 cm</h3>
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Explanation:
We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay
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The volume of a cone is
V = (1/3)*pi*r^2*h
Solving for h gets us
3V = pi*r^2*h
(3V)/(pi*r^2) = h
h = (3V)/(pi*r^2)
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The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.
We'll plug this radius in, along with V = 4.05 and pi = 3.14
h = (3V)/(pi*r^2)
h = (3*4.05)/(3.14*(1.25)^2)
h = 2.4764
This value is approximate. Rounding down to the nearest hundredth gets us 2.47
We round down because rounding up to 2.48 will lead to a volume larger than 4.05
