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2 years ago

Quick algebra 1 question for 50 points!

Mathematics

2 answers:

muminat2 years ago

3 0

Answer:

Step-by-step explanation:

b shows direct variation because we can clearly tell that the slope of the graph is 1/2. The graph is also linear, and it crosses the origin (0,0).

a: This graph can be represented as y=2, and that is not a direct variation.

b: Above explanation. This graph is a direct variation.

c: This graph can be represented as x=-8, and that is not a direct variation.

d: This graph has the slope, but it does not cross the origin, so it is not a direct variation.

kow [346]2 years ago

3 0

Answer:

Graph b

Step-by-step explanation:

Direct variation means "y varies directly as x”:

Direct variation equation:

$y=kx$

where k is the (non-zero) constant of variation.

Note, therefore, that a direct variation equation passes through the origin, as when x = 0:

$\implies y=k(0) \implies y=0$

Graph a

y does not change as x varies.

Therefore this graph does not model a direct variation.

Graph b

As x gets bigger, so does y. As x gets smaller, so does y.

The line passes through the origin (0, 0).

Therefore this graph models a direct variation.

Graph c

x does not change as y varies.

Therefore this graph does not model a direct variation.

Graph d

As x gets bigger, so does y. As x gets smaller, so does y.

However, the line does not pass through the origin (0, 0).

Therefore this graph does not model a direct variation.

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evablogger [386]

Answer:

y-intercept is at (0, 5) for y = 5

Step-by-step explanation:

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3 years ago

A block of marble is in the shape of a rectangular prism. The block is 8 feet long, 2 feet wide, and 78 inches high. What is the

Komok [63]

Length of the block of marble in question is (l) = 8 feet
Width of the block of marble in question is (w) = 2 feet
Height of the block of marble in question is (h) = 78 inches
We already know that
1 inch = 0.08 foot
So
Height of the block of marble in question (h) = 78 * 0.08 foot
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Then
Volume of the marble block = i * w * h
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From the above dduction we can conclude that the volume of the marble block in the shape of a rectangular prism is 99.84 cubic feet.

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3 years ago

In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as

kakasveta [241]

Answer:

7.8

Step-by-step explanation:

subtract 85 - 77.2

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2 years ago

The equation of a circle is given below.

Nataliya [291]

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$ (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

$x^2+(y+4)^2=64x$ (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

$x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2$

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

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4 years ago

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