Boston wheel chair marathon how long would it take to run a 30 mile race

25(x+5\4)^2-16(x7\4)^2 factorize the expression

elena-s [515]

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).

− (12x + 25/4) (2x + −25/4)

4 0

3 years ago

2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

<u>Dashed line:</u>

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

<u>Solid line:</u>

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

3 years ago

Read 2 more answers

I need Helppppppppppppppp with this

amid [387]

Answer:

Option A

Step-by-step explanation:

Jessica divides the ribbon in three parts out of which length of one part = $3\frac{1}{2}$ inches

Let the length of other two parts = x inches

Total length of whole ribbon = 12 inches

$3\frac{1}{2}+x+x=12$

$3\frac{1}{2}+2x=12$

$2x=12-3\frac{1}{2}$

$2x=12-\frac{7}{2}$

$2x=\frac{24-7}{2}$

$2x=\frac{17}{2}$

$x=\frac{17}{4}$

$x=7\frac{1}{4}$ inches

Therefore, option A will be the answer.

7 0

3 years ago

Read 2 more answers

You pack sandwiches for a mountain hike with your friends. each sandwich takes 2 slices of bread, and you pack 3 sandwiches for

Brrunno [24]

2*3n would be the equation.

6 0

3 years ago

Read the passage below and summarise it in a minimum of 100 words:

muminat

Answer:

Find the summary below.

Step-by-step explanation:

The article compares the standard of healthy living some hundred years ago to what is obtainable in our world today. While the energy gained through food consumption some years ago was just adequate and at the right proportion, what is consumed today, supplies energy that is on an all-time high. This misuse of resources led to the development of sustainable development practices such as planting of trees, exercise routines which are done occasionally.

Another sustainable practice that can be done on a more regular basis is the use of jute or paper bags which are more biodegradable, instead of plastic bags. Finally, the article encourages the adoption of more sustainable practices because they can be more economical compared to the other practices that are presumed to be the status quo.

4 0

3 years ago