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kramer
3 years ago
15

Find a function that models the area A of an equilateral triangle in terms of the length x of one of its sides.

Mathematics
1 answer:
creativ13 [48]3 years ago
3 0
A(x)=\frac{x^2\sqrt3}{4}
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4x^2-x-3=0<br> Solve by completing the square.<br> x= ?
rodikova [14]
<span>4x^2-x-3=0
let us rewrite the equation in much simplified form:
x^2 - 0.25x - 0.75 = 0
</span><span>x^2 - 0.25x = 0.75
</span>x^2 - 1/4 x + 1/64 =3/4 + 1/64
(x-1/8)^2 = 49/64
x−<span>1/8</span>=±<span>49/64

</span><span><span>x1</span>=−<span>3/4
</span></span><span><span>x2</span>=1</span>
6 0
3 years ago
The graph represent Daniel's bike ride to the ballpark. Which point on the graph indicates Daniel's arrival at the ballpark?
Marina86 [1]
We need to be able to see the graph in order to be able to know for sure, but most likely D) Point E.
3 0
3 years ago
Slope of line a is ½. What is the equation of a line that is parallel to line a? Y+½x=2 -2x+y+2=0 2x-2=y -½x+y-2=0
sasho [114]

Answer:

The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

Step-by-step explanation:

A line is a polynomial function of the first degree that has the following form:

y = m * x + b

where m is the slope of the line and b is the intercept with the Y axis.  The slope is the inclination of the line with respect to the abscissa axis.

In this case you know that the slope of line a is ½.  

Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.

You have:

  • y+½x=2       →       y= -½x +2
  • -2x+y+2=0       →       y=2x -2
  • 2x-2=y      
  • -½x+y-2=0       →       y=½x + 2

The line that has the same slope as line a is the last one, so <u><em>the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0</em></u>

6 0
3 years ago
Yes or no easy math plus another math question
Fed [463]

Answer:

10 yes 18 no 17 no

Step-by-step explanation:

Hope this helps

3 0
2 years ago
Which expression is equal to 4/8
givi [52]
<h2>Fractions</h2>

Which expression is equal to \large\tt \frac{4}{8}?

Option 1

  • \large \tt 4  \times \frac{1}{2}  =  \frac{4}{1}  \times  \frac{1}{2}  =   \red{\frac{4}{2}}

Option 1 is not equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

Option 2

  • \large \tt 3 \times  \frac{1}{5}  =  \frac{3}{1}  \times  \frac{1}{5}  =   \red{\frac{3}{5}}

Option 2 is not equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

Option 3

  • \large \tt 3  \times \frac{1}{8}  =  \frac{3}{1} \times  \frac{1}{8}   =   \red{\frac{3}{8}}

Option 3 is not equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

Option 4

  • \large \tt 4  \times \frac{1}{8}  =   \frac{4}{1}  \times  \frac{1}{8}  =   \green{\frac{4}{8}}

Therefore, option 4 is equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

<h3>#CarryOnLearning</h3>
7 0
3 years ago
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