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3 years ago

1.which expression is equivalent to (4-3i) 2

Mathematics

1 answer:

Pie3 years ago

7 0

What are the expressions that are possible you can solve by simplyfiying

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Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two dozen cookies. If she ne

Korvikt [17]

Answer:

First we must learn to dissect a question.

<h3>Explanation:</h3>

Part 1

We can list our facts first:

Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
She needs 13 dozen cookies

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

$6.5 \times 1.5 = 9.75 \: teaspoons$

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

$9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp$

7 0

2 years ago

Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

a = 5

b = x - 1

c = x

Step:1

Pythagorean theorem is,

$a^{2} + b^{2} = c^{2}$ ................................(1)

( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

From the given values the equation (1) becomes,

$5^{2} + (x-1) ^{2} = x^{2}$

( $(a-b)^{2} = a^{2} + b^{2} -2ab$ )

25 + ( $x^{2}$ + 1 - 2x ) = $x^{2}$

25 + 1 -2x = 0 ( ∵ Eliminate $x^{2}$ in both sides)

26 = 2x

x = 13

Step:2

From the values of x,

a = 5

b = ( 13 - 1 ) = 12

c = 13

Result:

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

3 0

3 years ago

Sin2x=______

joja [24]

Answer:

A.2sinxcosx

Step-by-step explanation:

We know the trig identity

Sin (2a) = 2 sin a cos a

sin (2x) = 2 sin x cos x

8 0

3 years ago

Expand a logarithmic expression

ivanzaharov [21]

The logarithmic expression is

$log (\sqrt{z^5}/(x^3y))$

To expand the expression we have to use some properties of logarithm.

We know that $log(m/n) = log (m) - log(n)$

By using this property we can write,

$log(\sqrt{z^5}) - log(x^3y)$

Square root means to the power 1/2, so for $\sqrt{z^5}$ , we can write $z^(5/2)$ .

$log(z^(5/2)) - log(x^3y)$

Now we have to use another property of logarithm.

We know that, $log(mn) = log(m) + log(n)$

So we will use this property to $log(x^3y)$

$log(z^(5/2)) - log(x^3y)$

$log(z^(5/2)) - (log(x^3) + log(y))$

$log(z^(5/2)) - log(x^3) - log(y)$

Now we have to use another property of logarithm.

We know that, $log(a^m) = m log(a)$

By using this property we can write,

$(5/2)log(z) - 3log(x) - log(y)$

This is the required aswer here.

8 0

3 years ago

Read 2 more answers

If f(x)=5x-1 and g(x) 2x^2 +1, what is 6he value of (f×g)(-3)

saul85 [17]

Answer: D

Step-by-step explanation:

$f(3)=5(-3)-1=-16\\\\\\g(3)=2(-3)^{2}+1=19\\\\(f\times g)(3)=-16 \times 19=\boxed{-304}$

7 0

2 years ago