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denis23 [38]
3 years ago
13

05.01 MC)

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

2x + y = -5 (which is Answer 1).

Step-by-step explanation:

The possible answer choices are all versions of the standard equation of a straight line:   Ax + By + C = 0.  If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B.  Only the first answer choice passes here:  with +2x and +1y, the slope is -2.  This automatically eliminates the other possibilities.

Looking at the first answer choice, we see that A must be 2 and B must be 1

so that the slope is m = -2.    Writing out this equation:  Ax + By + C = 0.

Replace A with 2 and B with 1:  2x + y + C = 0.

Finally, replace x with -1 and y with -3:  2(-1) + (-3) + C = 0.

Solving this for C, we get   -2 - 3 + C = 0, or -5 + C = 0, or C = 5.

We end up with 2x + y = -5 (which is Answer 1).

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6 0
3 years ago
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3 0
3 years ago
Find f(x) and g(x) so that the function can be described as y=f(g(x))<br> y=(9/x^2)+2
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there are many combinations for it, but we can settle for say


\bf \begin{cases} f(x)=x+2\\[1em] g(x)=\cfrac{9}{x^2}\\[-0.5em] \hrulefill\\ (f\circ g)(x)\implies f(~~g(x)~~) \end{cases}\qquad \qquad f(~~g(x)~~)=[g(x)]+2 \\\\\\ f(~~g(x)~~)=\left[ \cfrac{9}{x^2} \right]+2\implies f(~~g(x)~~)=\cfrac{9}{x^2}+2

6 0
3 years ago
Simplify the expression 3(y-5)+2y
miv72 [106K]

Answer:

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hope that helped

8 0
2 years ago
A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar
Oksanka [162]
The area of the base is:
 A = root ((s-a) * (s-b) * (s-c) * (s))
 Where,
 a, b, c: sides of the triangle
 s = (a + b + c) / 2
 We have then:
 s = (9 + 9 + 9) / 2
 s = 13.5
 A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
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 Then, the surface area of the prism is:
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 Where,
 h: height of the prism:
 Substituting values:
 421.2 = 2 * (35.07) + 9h + 9h + 9h
 Clearing h:
 27h = (421.2 - 2 * (35.07))
 h = (421.2 - 2 * (35.07)) / (27)
 h = 13
 Answer:
 
the height of the box is:
 
h = 13 inches
8 0
3 years ago
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