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4 years ago

45(2x+5)−4=1 Drag and drop the statement that shows the solution to the equation into the box.

Mathematics

1 answer:

Damm [24]4 years ago

7 0

Given equation : 45(2x+5)−4=1

45 is in front of parenthesis (2x+5).

So, we need to multiply 45 by (2x+5).

In order to multiply 45 by (2x+5), we need to distribute 45 over (2x+5).

We get, 45*2x + 45*5 = 90x + 225.

Therefore, 45(2x+5)−4=1 equation could be written as

90x + 225 - 4 = 1 in first step.

Now, subtraccting 225-4, we get 221.

In second step 90x + 225 - 4 = 1 can be written as

90x +221 = 1.

Subtractcing 221 from both sides, we get

90x +221 -221 = 1-221.

In third step we can simplify equation to

90x = -220.

Dividing both sides by 90.

90x/90 = -220/90.

In fourth step we get equation,

x = -220/90.

On simplifying fraction -220/90, we get -22/9 and in decimal we get -2.44..

So, final answer is x= -22/9 or -2.44..

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What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0

4 years ago

An example of a plane geometric surface is

Vesnalui [34]

Answer:

A square

Step-by-step explanation:

8 0

3 years ago

Overview

Alisiya [41]

Answer:

125.4

Step-by-step explanation:

Given

$Number = 125.3546$

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

$Number = 125.3$

The digit after .3 is 5

The conditions for approximation are:

If n > 4, approximate to 1

Else: approximate to 0

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

<em>Hence: when the number is approximated to 1 decimal place, the digit is 125.4</em>

7 0

3 years ago

I need step by step instructions on how to get the y-intercept: -210 for f(x)=x^3-18x^2+107x-210.

Mrrafil [7]

Y=f(X)
At y-intercept, X=0
f(X)= 0^3-18(0)^3+107(0)-210
= -210

6 0

3 years ago

Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .

Alborosie

The answer is 30. if 1 is 120 then that means 2 is 60 and vertical angles go to 90 so it would have to be 30 to get to 90. I hope this helped:)

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3 years ago