All categories

3 years ago

Simplify 2x4 a_3 =16a÷8 1_a

Mathematics

1 answer:

melamori03 [73]3 years ago

3 0

Answer:

(a+2) (a-18)

Step-by-step explanation:

Factoring a2-16a-36

The first term is, a2 its coefficient is 1 .

The middle term is, -16a its coefficient is -16 .

The last term, "the constant", is -36

Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .

-36 + 1 = -35

-18 + 2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2

a2 - 18a + 2a - 36

Step-4 : Add up the first 2 terms, pulling out like factors :

a • (a-18)

Add up the last 2 terms, pulling out common factors :

2 • (a-18)

Step-5 : Add up the four terms of step 4 :

(a+2) • (a-18)

Which is the desired factorization

You might be interested in

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest te

max2010maxim [7]

<em>Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)</em>

When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:

$\displaystyle a^{2} +b^{2} =c^{2}$

In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.

$a=3\\b=6$

$3^{2} +6^{2}=c^{2}$

Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.

$3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36$

Substitute the numbers into the equation.

$9+36=c^{2}$

Add:

$45=c^{2}$

You're looking for the value of c, not c squared. To remove the square, you need to square root it.

$\displaystyle \sqrt{45}=\sqrt{c^{2} }$

Using a calculator, find the square root of 45.

$\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7$

The answer to your question is B) 6.7 inches.

7 0

3 years ago

Read 2 more answers

I need help Question 2 (1 point)

igor_vitrenko [27]

Answer:

12 units

Step-by-step explanation:

Each side of the triangle is 1 unit. When putting 10 triangles together in figure 10, there will be 12 sides on the perimeter. Therefore, your answer is 12 units.

4 0

3 years ago

In order to earn extra money during the summer, Trevor is working as a house painter. The

11111nata11111 [884]

The correct answer to this question is that m is the dependent variable and h is the independent variable.

The amount of money Trevor earns can be formulated in the form of linear equation. A Linear equation is the one which can be expressed in the form of y = ax + b where y is dependent, and x is independent variable whereas a, b are coefficients. According to question amount of money Trevor earns will depend on the number of houses he paints. If m is the amount of money Trevor earns and h is the number of houses Trevor paints. This can be formulated as

m = hx + b and in this expression, m is dependent variable and h is independent variable as his earning will depend on the number of houses he paints.

Learn more about linear equation at:

brainly.com/question/28307569

#SPJ9

5 0

1 year ago

Use the coordinate of the labeled point to find a point-slope equation of the line

Ray Of Light [21]

Well since the line is headed to the left side, you know it has a negative slope, so B and C can be crossed out. Then, you know that point-slope form is written as y - y1 = m (x - x1)

So, you just plug in the numbers given on the graph, (4,-2)

You should come out with y + 2 = -2 (x - 4)

And that's the equation of the line in point-slope form!!! :)

Hope it helped and you understand it better!

D.) y + 2= -2 (x - 4)

4 0

3 years ago

Read 2 more answers

PLS HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!

gladu [14]

the rate of change is +2

Every time the number is given, the number goes up by 2

5 0

3 years ago

Read 2 more answers

Simplify 2x4 a_3 =16a÷8 1_a​

Simplify 2x4 a_3 =16a÷8 1_a