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Evgesh-ka [11]
3 years ago
9

Please please help me out

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer:

y = 9x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)

m = \frac{61+38}{8+3} = \frac{99}{11} = 9, thus

y = 9x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 61), then

61 = 72 + c ⇒ c = 61 - 72 = - 11

y = 9x - 11 ← equation of trend line

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4 0
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The choose C. –2/15

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3 years ago
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Brums [2.3K]

The question is missing the figure which is attached below.

Answer:

1620 cm³

Step-by-step explanation:

Given:

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Volume of the smaller prism (V₁) = 60 cm³

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Length of the larger prism (l₂) = 15 cm

Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,

\frac{l_2}{l_1}=\frac{b_2}{b_1}=\frac{h_2}{h_1}=k(constant)\\\\Where,\\b_1,b_2\to\ widths\ of smaller\ and\ larger\ prisms\ respectively\\\\h_1,h_2\to\ heights\ of\ smaller\ and\ larger\ prisms\ respectively

\frac{l_2}{l_1}=\frac{15\ cm}{5\ cm}=3\\\\\therefore\ k=3

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Volume of smaller prism is given as:

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V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]

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3 years ago
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Shalnov [3]

Answer:

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Step-by-step explanation:

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