All categories

3 years ago

The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16

Mathematics

1 answer:

zzz [600]3 years ago

4 0

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

You might be interested in

0.5x(y-z) in distributive property

KengaRu [80]

Answer:

0.5x * y - 0.5x * z

Step-by-step explanation:

In order to do the distributive property correctly, you would have to distribute the equation outside of the parenthases, to the equation within.

BTW, the symbol * is used as a multiplication symbol.

5 0

3 years ago

What is angle B? Round the value to the nearest degree

zhuklara [117]

Answer: $m\angle B=46\°$

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arccosine, which is defined as the inverse function of the cosine.

Then, to find an angle α, this is:

$\alpha =arccos(\frac{adjacent}{hypotenuse})$

In this case, you can identify that:

$\alpha =m\angle B\\\\adjacent=AB=20\ cm\\\\hypotenuse=BC=29\ cm$

Then, substituting values into $\alpha =arccos(\frac{adjacent}{hypotenuse})$ and evaluating, you get that the measure of the angle "B" to the nearest degree, is:

$m\angle B=arccos(\frac{20\ cm}{29\ cm})\\\\m\angle B=46\°$

4 0

3 years ago

Jesse is choosing between two stocks, Global Paper and Com Metals.

sukhopar [10]

B is the right answer

4 0

4 years ago

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some o

noname [10]

Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

x + y = 55000

The formula for determining simple interest is expressed as

I = PRT/100

Considering fund A,

P = $x

T = 1 year

R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

1100 - 0.02y + 0.1y = 1980

- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

y = 11000

x = 55000 - y = 55000 - 11000

x = 44000

4 0

3 years ago

Which expression is equivalent to 28 + 12? (1 point) 4(7 + 3) 4(24 + 8) 7(4 + 12) 7(21 + 5)

vodka [1.7K]

Answer:

4(7+3)

Step-by-step explanation:

28 and 12 are both divisible by 4.

28 ÷ 4 = 7

12 ÷ 4 = 3

4 0

3 years ago

Read 2 more answers