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Mazyrski [523]
2 years ago
13

What is the domain of the function below?

Mathematics
1 answer:
Ilya [14]2 years ago
4 0

Answer:

A

Step-by-step explanation:

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Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which an
valina [46]

Answer:

a. angles A and C

b. angles B and D

Step-by-step explanation:

When two lines are parallel, it implies the value of the angle between them is 180^{0}. Thus the lines can not meet when extended continuously.

Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.

Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.

i.e         < A = < C (alternate interior angle property)

            <B = < D (alternate interior angle property)

8 0
2 years ago
Read 2 more answers
When 7 is subtracted from two third of the square of a number it becomes 17 find the number​
Dmitry [639]

Answer:  6 or -6

hello,

Step-by-step explanation:

Let say n the number

\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\

8 0
3 years ago
Find the value of (-64)2/3
Marizza181 [45]

Answer:

-42.66666...

Step-by-step explanation:

-64 * 2/3 is -42.66666...

well, according to the calculator.

7 0
3 years ago
Read 2 more answers
If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will
Bas_tet [7]

Answer:

It will take about 35.439  years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

A=P\,e^{r*t}

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years

7 0
3 years ago
The area of a square is 225cm². On the map drawn to scale 1 : 3 find the area of the square​
Olin [163]

Answer:

25 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Area if a square = length²

225 =  length²

length = √225

length = 15

if the map is drawn to scale of 1 : 3

the length on the map = 15/3 = 5

area of the square 5 x 5 = 25

8 0
3 years ago
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