Ask question

Ask question

All categories

3 years ago

7

Find the largest number δ such that if |x − 1| < δ, then |5x − 5| < ε, where ε = 0.1. δ ≤ repeat and determine δ with ε =

0.01.

1 answer:

Leya [2.2K]3 years ago

4 0

$|5x-5|=5|x-1|$

So for $\varepsilon=0.1$ , we get $\delta=50$ ; for $\varepsilon=0.01$ , we get $\delta=500$ .

You might be interested in

What is 3 x 4/5 equal too?

sineoko [7]

12/5 is the answer!

Hope I helped!
Ps: symbolab.com is a great calculator to help solve those type of problems :-)

5 0

3 years ago

Read 2 more answers

The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.

Mazyrski [523]

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

<u>•</u><u> </u><u>Acco</u><u>rding</u><u> </u><u>to</u><u> </u><u>Question</u><u> </u><u>:</u><u>-</u><u> </u>

$\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}$

Therefore ,

Height = h = 8cm .
Base ,= 9h/4 = 18cm .

5 0

2 years ago

Which statement regarding the interior and exterior angles of a triangle is true?

yulyashka [42]

Draw a triangle on your paper and extend the base of the triangle so it extends past the base angle. The base angle inside the triangle is the interior angle and the one outside the triangle between the extended line and the outside of the interior angle is the exterior angle. A straight line has a measure of 180 degrees. That means that the interior angle + the exterior angle = 180. So they are supplementary by definition of supplementary angles. A is the only choice above that applies.

4 0

3 years ago

I WILL MARK BRAINIEST<br> PLEASE HELP ASAP ITS DUE

Daniel [21]

Answer:

A) 1 : 4

B) 1 : 2

C) Base of M = 10 units

Step-by-step explanation:

A)

The ratio of the area of triangle M to triangle N

$\frac {40}{160}= \frac{1}{4} = 1 : 4$

B)

The ratio of the side lengths of triangle M to triangle N

$\sqrt{ \frac {40}{160}} = \sqrt{\frac{1}{4}} \\\\={\frac{1}{2}} \\\\=1 : 2$

C) Let the base of triangle M be b units.

$\sqrt{ \frac {40}{160}} = \frac{b}{20}\\\\\frac{1}{2}= \frac{b}{20}\\\\2b = 20\\\\b = \frac{20}{2} \\\\b = 10$

8 0

2 years ago

Consider the rectangle shown

emmainna [20.7K]

Step-by-step explanation:

<em>Perimeter </em><em>of </em><em>a </em><em>rectangle</em><em>=</em><em> </em><em>2</em><em>L</em><em> </em><em>+</em><em> </em><em>2</em><em>W</em>

<em>let </em><em>the </em><em>length </em><em>be </em>2x-1<em> </em><em>and </em><em>breadth</em><em>/</em><em> </em><em>width </em><em>=</em><em> </em>3x+5

52= 2x-1 + 3x+5

52= 5x +4

<em> </em><em>collect </em><em>like </em><em>terms</em><em>;</em>

52-4 = 5x

48=5x

<em>divide </em><em>by </em><em>the </em><em>co- </em><em>efficient </em><em>of </em><em>X</em>

<em>x=</em><em> </em><em>9</em><em>.</em><em>6</em><em>.</em>

<em>hope </em><em>it </em><em>helps.</em><em> </em><em>pls </em><em>like </em><em>and </em><em>follow </em><em>:-)</em><em>:-)</em>

8 0

1 year ago