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3 years ago

Simplify negative 4 and 1 over 6 − negative 6 and 1 over 3. Which of the following is correct?

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

3 0

The correct answer is 2 1/6.

Good Luck...:)

choli [55]3 years ago

3 0

Answer:

2 1/6

Step-by-step explanation:

...

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What is the answer for this?

ra1l [238]

Answer:

Proved

Step-by-step explanation:

Given

$(2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7$

Required

Prove

On the right hand side, we have:

$2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7$

Rewrite:

$2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7$

$6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7$

Apply law of indices

$6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7$

$6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7$

Express 6 as 3.5 + 2.5

$(3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7$

Open bracket

$3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7$

Proved

3 0

3 years ago

GUYS I NEED HELP FAST PLEASE

Westkost [7]

Answer:

Q1, x=2 and all sides equal 8

Q2, x=3, MN and MP equal 10 and NP equals 8

Step-by-step explanation:

On an equilateral triangle all sides are equal

6x-4=3x+2

6x=3x+6

3x=6

x=2

6x-4

6(2)-4

12-4

On a isosceles triangle the two long sides are equal

4x-2=5x-5

4x=5x-3

-x=-3

x=3

4x-2

4(3)-2

12-2

3x-1

3(3)-1

9-1

6 0

3 years ago

Cos(0)=square root 3/3, sin 0<0. what is the value of sin0

abruzzese [7]

Answer:

sin θ = $\frac{\sqrt{6} }{3}$

Step-by-step explanation:

Given that,

cos θ = $\frac{\sqrt{3} }{3}$

From the trigonometric functions,

cos θ = $\frac{adjacent}{hypotenus}$

⇒ adjacent = $\sqrt{3}$ , and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

$/hyp/^{2}$ = $/adj/^{2}$ + $/opp/^{2}$

$/3/^{2}$ = $(\sqrt{3} )^{2}$ + $x^{2}$

9 = 3 + $x^{2}$

$x^{2}$ = 9 - 3

= 6

x = $\sqrt{6}$

Thus, opposite side = $\sqrt{6}$

So that,

sin θ = $\frac{opposite}{hypotenuse}$

= $\frac{\sqrt{6} }{3}$

Therefore,

sin θ = $\frac{\sqrt{6} }{3}$

6 0

3 years ago

Colleen divided integer a by −2 and got 6. Then she divided 6 by integer b and got −3. Find the quotient of integer a and intege

Rudiy27

Answer:

Step-by-step explanation:

Integer a has to be -12, and integer b has to be -2, and when -12 is divided by -2 you get an answer of 6

6 0

4 years ago

The value of y varies inversely as the square of x, and y = 16, when x = 3.

irina [24]

Answer:

The answer is

Step-by-step explanation:

The above variation is written as

$y = \frac{k}{ {x}^{2} }$

where k is the constant of variation

when y = 16

x = 3

k = yx²

k = 16(3)²

k = 16 × 9

k = 144

The formula for the variation is

$y = \frac{144}{ {x}^{2} }$

when y = 1

We have

$1 = \frac{144}{ {x}^{2} }$

Cross multiply

x² = 144

Find the square root of both sides

x = √144

x = 12

Hope this helps you

7 0

3 years ago