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Alenkasestr [34]
3 years ago
8

What metric unit is best used for the length of a car?

Mathematics
1 answer:
tangare [24]3 years ago
5 0
Meter is the best metric measurement.
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A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
A spool contains 270 inches of wire. How many pieces of wire, each with the a length of 1 7/8 inches, can be cut from the spool?
prisoha [69]
You would be able to cut 144 pieces of wire from the spool because 270/1 7/8 (or 1.875) equals 144
6 0
2 years ago
What is the equation of this parabola in vertex form
attashe74 [19]

first off, let's notice the parabola is a vertical one, therefore the squared variable is the x, and the parabola is opening upwards, meaning the coefficient of x² is positive.

let's notice the vertex, or U-turn, is at (-2, 2)

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{-2}{ h},\stackrel{2}{ k}) \\\\\\ y=+1[x-(-2)]^2+2\implies y=(x+2)^2+2

6 0
3 years ago
I need help please i really need help
zhannawk [14.2K]
Hello there!

Here's what definitions I think match up with each term:

Equilateral triangle: a triangle with three congruent sides
Composite figure: a figure made up of two or more three dimensional figures
Parallelogram: a quadrilateral with opposite sides both parallel and congruent
Volume: the amount of space within a three dimensional figure
Rectangular prism: a three dimensional figure with six rectangular faces, twelve edges, and eight vertices
Regular polygon: a polygon with 5 sides
Triangular prism: a prism with two congruent triangular based
Obtuse triangle: a triangle with one obtuse angle
Face: a flat surface of a three dimensional figure
Polygon: a polygon with congruent sides/congruent angles
Square: a closed figure made up of line segments that do not cross each other

Hope this helped you out! :-)
6 0
3 years ago
Find the missing side length… please help
My name is Ann [436]

Answer:

  • So let's consider the triangle
  • \tan(46)  =  \frac{17}{x}
  • Cross multiply
  • tan(46) \times x = 17
  • x = 16.42
  • I do quizzes and exams lmk if your interested!
7 0
3 years ago
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