What is the measure of angle c?

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

inn [45]

Answer:

See explanation

Step-by-step explanation:

1. Factor the function $f(x)=-2x^2+16x-30:$

$f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).$

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

$x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.$

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

3 0

2 years ago

What is five thirds of a right angle

Maksim231197 [3]

A right angle is 90 degrees, so five-thirds of a right angle is 90*5/3=450/3=150 degrees.

7 0

3 years ago

What is the value of x in the equation 4x + 8y = 40, when y = 0.8?

Alona [7]

$4x+8y=40\\\\ \ \ \ \ when\ y=0.8:\\\\4x+8\cdot0.8=40\\4x+6.4=40\ \ \ \ |subtract\ 6.4\\4x=40-6.4\\4x=33.6\ \ \ |:4\\\boxed{x=8.4}$

8 0

2 years ago

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Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD

earnstyle [38]

Answer:

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

$m \angle ABC = m\angle ABD + m\angle DBC$ (1)

If we know that $m\angle ABC = 40^{\circ}$ , $m\angle ABD = 2\cdot x + 3$ and $m\angle DBC = 4\cdot x + 7$ , then the value of $x$ is:

$(2\cdot x + 3)+(4\cdot x + 7) = 40^{\circ}$

$6\cdot x +10^{\circ} = 40^{\circ}$

$6\cdot x = 30^{\circ}$

$x = 5$

Then, we check the angles of each section:

Section 1

$m\angle ABD = 2\cdot x + 3$

$m\angle ABD = 13^{\circ}$

Section 2

$m\angle DBC = 4\cdot x + 7$

$m\angle DBC = 27^{\circ}$

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

6 0

2 years ago

Here is a list of numbers 2 17 1 13 7 18 14 18 20 state the median

Ivan

Answer:

14

Step-by-step explanation:

median is the number in the very middle when the numbers are organized in order:

1, 2, 7, 13, 14, 17, 18, 18, 20

if we start taking away from both ends we’ll get the answer

2, 7, 13, 14, 17, 18, 18

7, 13, 14, 17, 18

13, 14, 17

14

5 0

2 years ago

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