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3 years ago

Combine like terms in the following expression: 4 + 3(1−3m)

Mathematics

2 answers:

zmey [24]3 years ago

5 0

it is impossible to combine like terms. In order to combine like terms you must have like x+x you cant have like 1+x

valkas [14]3 years ago

4 0

the parenthesis part you must distribute it.

4 + 3 x 1 and 3 x -3m

4 + 3 -9m

now you combine like terms which 4 and 3 are the same type of term

4+3 = 7 - 9m is your answer

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anastassius [24]

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2 years ago

The product of two numbers is 21. If the first number is -3 which equation respents this situation and what is the second number

Vaselesa [24]

Let the second no. be x

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4 0

1 year ago

Please help! Identify each decimal number as either rational or irrational.

labwork [276]

Answer:

A Rational number is a number that can be written as a ratio in fraction form.

An Irrational number is a number that, when in decimal form, does not terminate or repeat.

Step-by-step explanation:

1.485 can be written as 1 485/1000 - it is rational

0.187345911... continues on and does not repeat - it is irrational

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6 0

3 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$

$\sqrt {202 \ cm^{2} }=c$

$14.2126704036 \ cm =c$

We are told to round to the nearest tenth.

14.2126704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

$14.2 \ cm= c$

The hypotenuse is equal to 14.2 centimeters.

3 0

2 years ago

Express the radical using the imaginary unit i

valentinak56 [21]

Answer:

$=\pm i\sqrt{66}$

Step-by-step explanation:

So we have:

$\pm\sqrt{-66}$

This is the same as:

$=\pm\sqrt{66\cdot-1}$

Separate:

$=\pm\sqrt{66}\cdot\sqrt{-1}$

Replace the second term with i:

$=\pm i\sqrt{66}$

The square root of 66 cannot be simplified.

So, this is our answer :)

7 0

3 years ago