Consider right triangle MNO below which expression represents the length of side MN

Q2. a) Is the equality √a^4 = a valid for all values of a? Explain.

allochka39001 [22]

Answer:

The equality is only true for $a = 0\ and\ 1$ , not for all values

Step-by-step explanation:

Given

$(\sqrt a)^4 = a$

Required

Determine if it is valid

$(\sqrt a)^4 = a$

Evaluate the exponent

$(a^\frac{1}{2})^4 = a$

$a^\frac{1*4}{2} = a$

$a^2 = a$

Rewrite as:

$a^2 - a = 0$

Factorize

$a(a- 1) = 0$

$a =0\ or\ a - 1 = 0$

$a =0\ or\ a = 1$

The equality is only true for  $a = 0\ and\ 1$ , not for all values

7 0

2 years ago

What is the x to this line?

777dan777 [17]

Answer: x=64.

Step-by-step explanation:

48=3x/4

Multiply both sides by 4 : 192=3x

Divide both sides by 3. : x=64

Check: 64*3=192; 192/4=48 J=48 So x is 192.

Hope this helps! :p

3 0

3 years ago

13. Diberi v = u + at, cari nilai t apabila v = v = 42 u=-8 dana - 5. A.10 B.8 C.6 D.4

LiRa [457]

Answer:

Lol mcm soalan kamu salah. Pilih A je

Step-by-step explanation:

v = 42
u = -8
a = -5

Masukkan nilai tersebut dalam persamaan v = u + at,

42 = -8 + (-5)t

50 = -5t

t = -10

3 0

3 years ago

Question is in the picture. Please help

irakobra [83]

BD = AC Given. BD cuts AC in half. That's what bisectors do.

BD = BD Reflexive property of a line (it is always equal to itself).

<ADB = <ADC = 90o

DB is perpendicular to AC Given.

<ADB + <ADC = 180o The two are supplementary.

Each angle = 90o Perpendicular means that one line meets another at 90o

2x = 180

x = 90o

Since each of the enclosed angles = 90, two have two triangles congruent by SAS <<<< Answer

4 0

3 years ago

Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye

notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

$I_1 = \dfrac{P \times R_1 \times T_1 }{100} = \dfrac{10,000 \times 4 \times 4 }{100} = \$ 1,600$

For the second choice, we have;

The simple interest, I, given by the formula;

$I_2 = \dfrac{P \times R_2 \times T_2 }{100} = \dfrac{10,000 \times 5 \times 6 }{100} = \$ 3,000$

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0

3 years ago

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Consider right triangle MNO below which expression represents the length of side MN￼

Consider right triangle MNO below which expression represents the length of side MN