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3 years ago

A double rotation can ___ be written as a single rotation

Mathematics

1 answer:

Gnesinka [82]3 years ago

7 0

Answer:

Always

Step-by-step explanation: because I did it and got the answer right

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While walking for exercise, Mia is able to walk only 3\4 as far on Saturday she walks 1 1/2 miles. How many miles did she walk F

Ket [755]

$1\frac{1}{2} - \frac{3}{4}$
$\frac{3}{2} - \frac{3}{4}$
$\frac{6}{4} - \frac{3}{4}$
= $\frac{3}{4}$

3 0

2 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

2 years ago

Factor the question: 4x+8y+16

kirill [66]

Y= - X/2 = 2 this is the answer

8 0

2 years ago

Convert 3,124 meters to kilometers (1 kilometer =1000 meters)

Mrac [35]

Answer:

3.124 kilometers

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The life expectancy of a circulating coin is 30 years. The life expectancy of a circulating dollar bill is only

Afina-wow [57]

Life expectancy of dollar bill = d
life expectancy of coin = c

d = 1/20 c

substitute value in for c (30)

d = 1/20 * 30
d = 30/20
d = 1.5

life expectancy of a dollar bill = 1.5 years

3 0

2 years ago