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Advocard [28]
3 years ago
13

Which pair of expressions is equivalent using the Associative Property of Multiplication? 6(4a ⋅ 2) = 24a ⋅ 12 6(4a ⋅ 2) = (4a ⋅

2) ⋅ 6 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2 6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Mathematics
1 answer:
galben [10]3 years ago
4 0


<span>Associative Property of Multiplication : (ab)c = a(bc)
</span>so
answer is

6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
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Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form
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Slope = (10 -5)/(2+3) = 5/5=1

y = mx + b
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so equation y = x +8

answer: <span>y = x + 8(first choice)</span>
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Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
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y = x - 2

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Five less than a number (n) is 28. Which equation shows this relationship?
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An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s
maks197457 [2]

Answer:

W_s \approx5.3

Step-by-step explanation:

From the question we are told that

Height H=3.5ft

Weight W= 6ft

Depth  D=0.95ft

Generally the equation for ellipses is given as

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

Where

b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\

\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1

Generally to find y in the equation \frac{x^2}{a^2} +\frac{y^2}{b^2} =1

y=-b+d

y=-1.75+0.95

y=-0.8

Therefore

\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1

\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}

\frac{x^2}{3^2} =1-0.2089795918

X^2 =3^2(1-0.2089795918)

X^2 =7.119183674

X =\sqrt{7.119183674}

X =2.66817984

Therefore the width of the given stream is

W_s=2.66817984*2

W_s=5.33635968

W_s \approx5.3

3 0
3 years ago
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