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3 years ago

What number must you add to complete the square?

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer:

Step-by-step explanation:

x^2 + 12 x = 40

To complete the square, take the coefficient of the x term

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add 36 to each side

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Find the missing factor 4x^2+19x-5=(x+5)( )<br><br> NEED HELP PLEASE

S_A_V [24]

Answer:

4x^2+19x-5=(x+5)(4x -1)

Step-by-step explanation:

The given expression is 4x^2 + 19x - 5

The leading coefficient is 4 and last term is -5

Multiply them, we get -20

Now find the factors of -20 such that when you add the factors we have to get 19.

-1*20 = -20

20+ (-1) = 19

The right factors are -5 and 9.

4x^2 + 19x - 5 =4x^2 + 20x -1x - 5

= 4x(x + 5) -1(x + 5)

= (x + 5)(4x -1)

The missing factor is (4x -1)

Thank you.

4 0

3 years ago

Find the missing angle in the triangle (type in numbers only)

Brums [2.3K]

Answer:42 degrees

Step-by-step explanation:

4 0

3 years ago

Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumfere

neonofarm [45]

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

<h3>What is a circle? </h3>

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: brainly.com/question/24375372

4 0

2 years ago

birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i

vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

$\tt \: \color{hotpink}simple \: interest \color{plum}= \frac{principal \times rate \times time}{100}$

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

$= \tt \frac{500 \times 1.3 \times 4}{100}$

$= \tt \frac{2600}{100}$

$\color{plum} = \tt\bold{\$26}$

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

$=\tt 500 + 26$

$\color{plum} = \tt\bold{\$526}$

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

$\tt \: \color{hotpink}percentage \: of \: change\color{plum} = \frac{change}{original \: price} \times 100$

Which means :

Percentage of change in her savings account :

$=\tt \frac{26}{500} \times 100$

$=\tt \frac{26 \times 100}{500}$

$= \tt\frac{2600}{500}$

$\color{plum} = \bold{\tt\bold{5.2\%}}$

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0

3 years ago

Explain how modeling partial products can be used to find the products of greater numbers ?

liq [111]

You can break large numbers into a sum of a multiple(s) of 10 and the last digit of the number. For example, you can break 26 as 20+6, or 157 as 100+50+7.

Then, using the distributive property, you can turn the original multiplication into a sum of easier multiplications. For example, suppose we want to multiply 26 and 37. This is quite challenging to do in your mind, but you can break the numbers as we said above:

$26\times 37=(20+6)(30+7) = 20\times 30+20\times 7+30\times 6+6\times 7$

All these multiplications are rather easy, because they either involve multiples of 10 of single-digit numbers:

$20\times 30+20\times 7+30\times 6+6\times 7 = 600+140+180+42=962$

3 0

3 years ago