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2 years ago

Be Precise What is the difference between a terminating decimal and a repeating decimal?

Mathematics

1 answer:

matrenka [14]2 years ago

5 0

Answer:

Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

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3 years ago

Write the domain and range as an inequality please!!!<br>

Nat2105 [25]

Answer:

x > -1

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

From the graph we can see that our x-values span from -1 to infinity. Since -1 is open dot, it is not included in the domain:

(-1, ∞) or x > -1

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leva [86]

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Step-by-step explanation:

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2 years ago

Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do

grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

$WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}$

Since triangle WXY is Isosceles, $\angle XYW=45^\circ$

$\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ$

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

$WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7$

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