Evaluate g(1+a)<br> g(x) = 1 + 5x

Please help!!<br><br> Which system of inequalities is represented by the graph?

kifflom [539]

Answer:

The third option

y < -2x +2

y < or = 1/2x -1

y > or = -4

Step-by-step explanation:

Solved on Desmos graphing calculator ;)

6 0

3 years ago

Can you please help me answer this picture

amid [387]

Answer:

C

Step-by-step explanation:

A solution is where the line touches the x-axis, and the line touches 4 and 8, which means 4 and 8 are the two solutions.

4 0

3 years ago

Read 2 more answers

Lesson 4.10 - Analytic Geometry

Nadusha1986 [10]

Geometric shapes are mathematical shapes that include squares and triangles

<h3>How to prove the shape is a square</h3>

The side lengths of a square are congruent, and the adjacent sides are perpendicular.

So, we start by calculating the side lengths using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$AB = \sqrt{(3-2)^2 + (4+2)^2} = \sqrt{37$

$BC = \sqrt{(2+4)^2 + (-2+1)^2} = \sqrt{37$

$CD = \sqrt{(-4+3)^2 + (-1-5)^2} = \sqrt{37}$

$DA = \sqrt{(-3-3)^2 + (5-4)^2} = \sqrt{37}$

The above shows that the side lengths of the square are congruent.

Next, calculate the slope of the sides using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{AB} = \frac{4 +2}{3 -2} = 6$

$m_{BC} = \frac{-2 + 1}{2+4} = -\frac 16$

$m_{CD} = \frac{-1 -5}{-4+3} = 6$

$m_{DA} = \frac{5 -4}{-3-3} = -\frac 16$

Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.

The above highlight, and the equal side lengths show that the figure (1) is a square

<h3>How to prove the shape is a right isosceles triangle</h3>

The legs of a right isosceles triangle are congruent, and the legs are perpendicular.

So, we start by calculating the lengths of the legs using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$XY = \sqrt{(5-4)^2 + (-1-4)^2} = \sqrt{26$

$XZ = \sqrt{(5-0)^2 + (-1+2)^2} = \sqrt{26$

The above shows that the legs of the right isosceles triangle are congruent.

Next, calculate the slope of the legs using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{XY} = \frac{5-4}{-1 -4} = -\frac{1}{5}$

$m_{XZ} = \frac{5-0}{-1+2} = 5$

Notice that the slopes are opposite reciprocal.

The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle

Read more about geometric shapes at:

brainly.com/question/14285697

7 0

3 years ago

What is 5/8 plus 7/8

Blababa [14]

5/8+7/8=12/8=1 4/8=1 1/2

3 0

3 years ago

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2 different shapes with an area of 6 square units and perimeter of 12 units

lisov135 [29]

Square and rectangle

Other example:
To understand the given problem use the formular of area.

Hence, area is the length and width of the object in unit squared.

Mathematically expressing, a = l x w
<span>Since a = l x w </span>
a = lw unit squared

Given:
Area = 112 cm2

Square root of Area = Square root of 112 cm2
Area = 10.58 cm

Check:
Area = (10.58 cm)^2
<span>Area = 111.9 / 112</span>

4 0

3 years ago

Evaluate g(1+a) g(x) = 1 + 5x - x2