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mart [117]
3 years ago
12

What is the vertex of y=(x-2)-7

Mathematics
1 answer:
Zina [86]3 years ago
7 0

Answer:

The vertex of this equation is (2, -7)

Step-by-step explanation:

In order to find the vertex of this equation we start with the base form of the vertex form.

y = a(x - h) + k

With this equation (h, k) is the vertex. You can see that 2 lines up with h and -7 lines up with k. This shows that (2, -7) is the vertex.

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A square patio has a area of 215 square feet. how long is each side of the patio to the nearest 0.05
Vanyuwa [196]

A square has all 4 sides the same.

When given the area of a square , you can find the length of the side by finding the square root of the area:


Side length = √215

Side Length = 14.6628

Rounding to the nearest 0.05 would = 14.65 feet.

8 0
3 years ago
A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co
White raven [17]

Answer:

The value of x would be \frac{3}{5}y or \frac{3}{8}z

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain  5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,          

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)

Now, resultant mixture is z ton,

i.e. z=x+y

\implies y = z - x

From equation (1),

x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x

x+\frac{3}{5}x=\frac{3}{5}z

\frac{8}{5}x=\frac{3}{5}z

x=\frac{3}{8}z

3 0
3 years ago
Find the area of the circle.<br> 12 ft
Ratling [72]

Answer:

  • Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

  • Diameter of circle = 12 feet

To Find:

  • Area of the circle

Using formula:

\\ \:  \: \dashrightarrow \:  \:  \:{\underline{\boxed{  \bf{Area_{( circle)} = \pi r^2}}}} \\ \\

<em>Where,</em>

  • π = 3.14
  • Diameter = 12 feet
  • Radius = 12/2 = 6 feet

On substituting the required values, we get:

\\   \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =    3.14 \times  {(6)}^{2}  \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =   3.14 \times 36 \\  \\  \\ \:  \: \dashrightarrow \:  \:  \:  \sf Area_{(Circle)} =  113.04 \:  {ft}^{2}  \\  \\  \\

Hence,

  • Area of the circle is<u> </u>113.04 ft²
3 0
2 years ago
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72.1
Brainliest please I’m tryna rank up
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Which of the sets of ordered pairs represents a function
rjkz [21]

4 neither of them are functions because the x repeats itself

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