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lyudmila [28]
2 years ago
6

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Mathematics
1 answer:
Agata [3.3K]2 years ago
7 0
Your answer will be 150
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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
2 years ago
Kira has 9 bags of of shells. Each bag holds 9 shells. How many shells does Kira have?​
Marizza181 [45]

Answer:

81 Bags of Shells

Step-by-step explanation:

9 X 9 = 81

7 0
3 years ago
Read 2 more answers
Need help with working perimeter and area please
SVETLANKA909090 [29]

Answer:

Area = 228 m²

Perimeter = 60 m

Step-by-step explanation:

The figure given shows a rectangle that has a cut triangular portion.

✔️Area of the figure = area of rectangle - area of the triangular cut portion

= L*W + ½*bh

Where,

L = 20 m

W = 12 m

b = 20 - (8 + 8) = 4 m

h = 6 m

Plug in the values

Area = 20*12 - ½*4*6

Area = 240 - 12

Area = 228 m²

✔️Perimeter = perimeter of rectangle - base of the triangular cut portion

= 2(L + W) - b

L = 20 m

W = 12 m

b = b = 20 - (8 + 8) = 4 m

Plug in the values

Perimeter = 2(20 + 12) - 4

= 2(32) - 4

= 64 - 4

Perimeter = 60 m

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3 years ago
HURRYYYY PLSSSSS IM TIMED
Yuliya22 [10]
A because the week would be equal to the 3 books he read
6 0
3 years ago
Which could be the measures of the three angles of an acute triangle.
slavikrds [6]
D
An acute angle is less than 90 degrees 
5 0
3 years ago
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