All categories

2 years ago

It's about 5 AM, haven't slept in 28 hours, need help.

Mathematics

1 answer:

Minchanka [31]2 years ago

7 0

Answer:

2nd option

Step-by-step explanation:

8 $x^{4}$ - 4x³ - x + 2 - (2 $x^{4}$ - 8x² - x + 10) ← distribute by - 1

= 8 $x^{4}$ - 4x³ - x + 2 - 2 $x^{4}$ + 8x² + x - 10 ← collect like terms

= 6 $x^{4}$ - 4x³ + 8x² - 8

You might be interested in

Prove that n^2 > 2n + 1 for all natural numbers n >= 3

mafiozo [28]

${n}^{2} - 2n - 1 > 0$
$n = 3 > > 9 - 6 - 1 = 2 > 0$
suppose the following is true

7 0

3 years ago

Use the commutative property to solve for n 98,551+2,851=2,841+n n=

dezoksy [38]

If the commutative property indicates that a+b=b+a with the problem being 98,551+2,841=2,841+n, its a pretty safe assumption that n would equal 98,551. a would be 98,551 as b would be 2,841.

5 0

3 years ago

Urgent, please help.

EastWind [94]

Answer:159

Step-by-step explanation:

ur welcome

8 0

2 years ago

Read 2 more answers

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0

3 years ago

Explain how knowing that 5/8 = 0.625 helps you write the decimal for 4 5/8

tatyana61 [14]

When writing a decimal, the numbers to the left of the decimal are whole numbers greater then or equal to 1. The numbers to the right of the decimal are numbers less then 1.

if u know 5/8 = 0.625, then 4 5/8 = 4.625

4 0

3 years ago