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sveta [45]
3 years ago
13

Is y=7x+2 x+7y=8 parallel, perpendicular, or neither?

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0
Rearrange them to slope-intercept form

y = 7x + 2

y = -(1/7) x + 8

product of their slopes is  7 * -1/7  = -1  so they are perpendicular
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ioda

Answer:

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Step-by-step explanation:

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3 years ago
In trapezoid ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD , if BO=6 cm and: AO/OC
aalyn [17]

Answer:

8 cm

Step-by-step explanation:

... BO/OD = AO/OC = 3/1

Written another way, this is ...

... OD : BO = 1 : 3

Now, BD = OD + BO, so we have

... BD : BO = (OD +BO) : BO = (1 +3) : 3 = 4 : 3

That is, BD = 4/3 × BO

... BD = 4/3 × 6 cm = 8 cm

6 0
3 years ago
Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

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Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

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Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

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4 years ago
12 stamps increased by 125% what is the new amount
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12 x 1.25 = 15

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