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Mathematics

2 answers:

mario62 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Mariana [72]3 years ago

4 0

Answer:

Step-by-step explanation:

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PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Alex17521 [72]

Solution:

$\sqrt{4x + 13} = x + 2$

First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

Now, transpose 4x and 4 to LHS.

$= > 4x - 4x + 13 - 4 = {x}^{2} \\$

Now, do the addition and subtraction.

$= > {x}^{2} = 9 \\ = > x = \sqrt{9} \\ = > x = ±3$

Answer:

x = ± 3

Hope you could understand.

If you have any query, feel free to ask.

3 0

2 years ago

Consider the equation y= -2x -3.

Alona [7]

Part A

The graph is shown below as an attached image.

The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)

I'm using GeoGebra to graph the line.

side note: (0, -3) is the y intercept which is where the graph crosses the y axis.

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Part B

Answer is choice 2

The graph can be written in the form y = mx+b, so it is linear

In this case, m = -2 is the slope and b = -3 is the y intercept

We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.