Please please help me out
1 answer:
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 = =
= 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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The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
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,
This means that, the smaller figure is dilated by a scale factor of 3.
Hence,
Volume of smaller prism is given as:
Volume of larger prism is given as;
Therefore, the volume of the larger rectangular prism is 1620 cm³.
