1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Grace [21]
2 years ago
6

Please help me w this an explain how you got it!.

Mathematics
1 answer:
pishuonlain [190]2 years ago
6 0

Answer:

Vertex → (2, 4)

Step-by-step explanation:

Quadratic equation has been given as,

y = -x² + 4x

We rewrite this equation in the form of a function as,

f(x) = - x² + 4x

By comparing this equation with the standard quadratic equation,

y = ax² + bx + c

a = -1 and b = 4

Vertex of the parabola represented by this equation is given by [-\frac{b}{2a}, f(\frac{-b}{2a})]

x coordinate = -\frac{4}{2(-1)}

                     = 2

y-coordinate = f(2)

                     = - (2)² + 4(2)

                     = -4 + 8

                     = 4

Therefore, vertex of the given function is (2, 4)

You might be interested in
How much lower was the 6am temperature in Juneau than in Los Angeles
adell [148]
A lot like shoot i think 20 or more
6 0
3 years ago
The sum of 2112 + 2212 + 2312 when divided by 4, leaves no remainder. What will be the remainder when the sum of 2113 + 2213 + 2
trasher [3.6K]

Step-by-step explanation:

2112 + 2212 + 2312 / 4 leaves no remainder, as already the individual numbers could be divided by 4 without remainder.

2113 = 2112 + 1

2213 = 2212 + 1

so, we get a remainder of +1 and +1 for these 2 numbers, so we get in total a remainder of +2.

8 0
3 years ago
Simplify: (7x^2 − 8x − 4) + (−2x^2 + 3x + 5) + (5x^2 − 10x − 8)
kramer
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify 

10x^2 - 15x - 7
5 0
3 years ago
Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments
kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0
1 year ago
The length of each segment.
shepuryov [24]
We have to use the distance formula between the two points provided
5 0
3 years ago
Other questions:
  • Graph the function in the interval from 0 to 2pi.<br><br> y = sin(θ − 2)
    14·2 answers
  • I need help with this question
    6·1 answer
  • Which represents where f(x) = g(x)?
    6·1 answer
  • What is the factored form of 8x2 + 12x?
    7·2 answers
  • 6. A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of e
    14·1 answer
  • The membership in the Lego Club decreased from 120 members in August to 82 members in October. What was the percent decrease fro
    9·2 answers
  • examples of subtraction of two fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
    14·1 answer
  • Add the following integer 9+(-4)=?
    8·1 answer
  • Divide x² + 11x + 16 by x + 8​
    13·1 answer
  • Give the slope-intercept form for the equation.<br><br> 5x+ 2y = -14
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!