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Thepotemich [5.8K]
3 years ago
14

- 4x + 14 = -2(2x + 7)

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0
X=4
-4x4=-16+14=-2
2x4=8+7=15
-2 x 15=30
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A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total a
nadezda [96]

Answer:

2 m

Step-by-step explanation:

First we need to calculate the actual area of the garden:

Area = 16 * 8 = 128 m2

If the new area is 240 m2 and we call the width of the pathway 'w', we have that:

New area = (16+2w) * (8+2w) = 240

128 + 48w + 4w^2 = 240

4w^2 + 48w - 112 = 0

w^2 + 12w - 28 = 0

Delta = 12^2 + 4*28 = 256

sqrt(Delta) = 16

w1 = (-12-16)/2 = -14 m (not a valid width)

w2 = (-12+16)/2 = 2 m

6 0
3 years ago
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3.91

Step-by-step explanation:

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5 0
2 years ago
Please help!!!!! Thanks!!
Oliga [24]

Answer: The length of each leg of the triangle is 13 units. Have a nice day!

Using Pythagorean theorem, a^2+b^2=c^2

13^2+13^2=26^2



6 0
3 years ago
The regular hexagon has a radius of 4 in.
AleksAgata [21]
\bf \textit{area of a regular polygon}=\cfrac{1}{2}nR^2\cdot  sin\left(\frac{360}{n}  \right)
\\ \quad \\ \quad \\
\begin{cases}
n=\textit{number of sides in the polygon}\\
R=\textit{radius of the polygon}
\end{cases}

so, sides= n= 6
radius = R = 4
\bf \textit{area of a regular polygon}=\cfrac{1}{2}nR^2\cdot  sin\left(\frac{360}{n}  \right)
\\ \quad \\ \quad \\
\begin{cases}
n=\textit{number of sides in the polygon}\\
R=\textit{radius of the polygon}
\end{cases}
\\ \quad \\ \quad \\
\cfrac{1}{2}6\cdot 4^2\cdot  sin\left(\frac{360}{6}  \right)\implies 
\cfrac{1}{2}\cdot 96\cdot  sin\left(60^o  \right)
\\ \quad \\
48\cdot  sin\left(60^o  \right)
6 0
3 years ago
Read 2 more answers
Using the equation y^2=-5/4(x-2), find the equation of the directrix
kumpel [21]

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

3 0
2 years ago
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