If Willie does this (equation in image) correctly, what is the value of k?

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Quadratic equation has a leading degrees of 2. The correct equation in vertex form is (x - 3)^2 + 5

<h3>Vertex form of a quadratic equation</h3>

Quadratic equation has a leading degrees of 2.

Given the quadratic function expressed as:

f(x) = x^2 - 6x + 14

Complete the square

x^2 - 6x + (-3)^2 - (-3)^2 + 14

(x- 3)^2 - 9 + 14
(x - 3)^2 + 5

Hence the correct equation in vertex form is (x - 3)^2 + 5

Learn more on vertex form here: brainly.com/question/525947

#SPJ1

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Find the length of the missing side (nearest tenth).<br> 21 in<br> 7 in

OleMash [197]

Answer:

22.1

Step-by-step explanation:

21²+7²=490

Square root of 490

=22.1359

=22.1

7 0

3 years ago

Drag the system of equation to the point that represents the solution to the system.

PIT_PIT [208]

Solving of the system equation: 2x-y=-13 ⇒(1)   and    y=x+9 ⇒(2)
by substituting from (2) at (1)
2x-(x+9)=-13
2x-x-9=-13
x=-4 ⇒ substituting at (2) ∴ y = -4+9 = 5
The point that represents the solution to the system = (-4,5)
========================================================

solving of the system equation: 3x+2y=10 ⇒(1) and 6x-y=10 ⇒(2)
by multiplying equation (2) ⇒    12x-2y=20 ⇒(3)
adding (1) and (3)
                            15 x = 30 ⇒   x=2
from equation (2) 6x-y =10 ⇒⇒⇒ y = 6x-10 =12-10=2
The point that represents the solution to the system = (2,2)
=======================================================

solving of the system equation: 4x-3y=5 ⇒(1) and 3x+2y=-9 ⇒(2)
solve for x, y
we find   x=-1 and y=-3

The point that represents the solution to the system = (-1,-3)
=======================================================

solving of the system equation: x+y=7 ⇒(1)   and    x-y=-1 ⇒(2)
adding (1) and (2)
                           2x=6 ⇒⇒⇒ x = 3
substitute at (1)
                         y =7-x=7-3=4
The point that represents the solution to the system = (3,4)
=======================================================

solving of the system equation: y=3x-7 ⇒(1) and y=2x-5 ⇒(2)
equating (1) and (2)
solve for x and y
we find x=2 ⇒⇒⇒ y = -1
The point that represents the solution to the system = (2,-1)
=======================================================

The system equation : y = 6    and x =-5
The point that represents the solution to the system = (-5,6)
=======================================================
The attached figure represent a conclusion for the answer