All categories

3 years ago

Factor the polynomial by its greatest common monomial factor.

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

Answer: 3b^4(b+5-6b^3)

Step-by-step explanation:

You might be interested in

Two angles are supplementary if their sum is 180°. the larger angle measures five degrees more than four times the measure of a

wlad13 [49]

Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

$y=4x+5$

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

$x+y=180$

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute $y=4x+5$ into $x+y=180$

$x+y=180$

After substituting, you get

$x+4x+5=180$

Now, combine the x's

$5x+5=180$

Subtract both sides by 5

$5x=175$

Divide both sides by 5.

$x=35$

Now, we can solve for y using the equation $x+y=180$ since we know the value of x.

$35+y=180$

Subtract both sides by 35.

$y=145$

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)

5 0

3 years ago

What that called for math?This symbol #

AVprozaik [17]

Answer: Pound key

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Brian is finishing a meal at his favorite restaurant. The check shows that the cost of the food is 42 dollars. He adds a 15% tip

Serga [27]

$42 \times (100\% + 15\%) \\ = 42 \times 115\% \\ = 48.3$

Total amount of Brian paid is $48.30.

Hope this helps. - M

6 0

3 years ago

Read 2 more answers

The distance in feet that Karina swims in a race is represented by 6d - 6, where d is the distance for

vaieri [72.5K]

The answer would be a hope it helps

6 0

3 years ago

PLEASE PLEASE HELP! Find the measure of APB^.

Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

$\angle CAT=\angle CBT=90^{\circ}$

Since angle BAT is equal to 65°, angle CAB has measure

$\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.$

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

$\angle CBA=\angle CAB=25^{\circ}$

The sum of the measures of all interior angles in triangle is always 180°, so

$\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}$

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

$x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}$

8 0

3 years ago