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3 years ago

Express 3+4x-x^2 in the form y=p-(q-x)^2

2 answers:

5 0

This is my way of doing it...
Rearrange the equation to -x^2+4x+3
Then -(x^2 - 4x) + 3
-[(x-2)^2 - 4] +3
-[(x-2)^2] +4+3
-(x-2)^2 + 7

final answer : y=7-(x-2)^2

k0ka [10]3 years ago

3 0

The answers gonna be y=7-(x-2)^2

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Classify if this number is real irrational rational integer whole and natural. Square root of 25/100

Allushta [10]

Answer:

Real and Rational

Step-by-step explanation:

Given number:

$\sqrt{\frac{25}{100}}$

To classify the given number as, real, irrational, rational, integer, whole and natural.

Solution:

Simplifying the given number:

⇒ $\frac{\sqrt{25}}{\sqrt{100}}$ [As $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ ]

⇒ $\frac{5}{10}$ [Evaluating square roots]

⇒ $\frac{5\div 5}{10\div 5}$ [Reducing fractions by dividing numerator and denominator by GCF of them]

⇒ $\frac{1}{2}$

Thus $\sqrt{\frac{25}{100}}$ is equivalent to $\frac{1}{2}$

We can say the given number is a rational number as it represents a fraction of two integers.

It is also a real number as all numbers are real.

8 0

3 years ago

How do you use slope to find the second point for a whole number slope?

GrogVix [38]

Answer:

you use a linear equation.

Step-by-step explanation:

y=mx+b is a linear equation, b equals the y intercept (the point at which the slope touches the y line at x=0), and m equals the slope.

All you have to do is plug in your values for the equation to work.

8 0

3 years ago

If A=(0,0) and B=(6,3), what is the length of AB?

mr Goodwill [35]

Answer:

<h2>3√5 units</h2>

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

$ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units$

Hope this helps...

Good luck on your assignment..

3 0

3 years ago

isabella and jorge are placing markers along a cross-country running route. They need to place the 1st marker 50m from the start

DochEvi [55]

Answer:

<h3>102Km route I think</h3>

Step-by-step explanation:

i hope it helps :)

4 0

3 years ago

The perimeter of a rectangle is 156 inches. The length of the rectangle is five times its width. Find the area of the rectangle.

svlad2 [7]

Answer:

Step-by-step explanation:

i think

8 0

2 years ago