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2 years ago

14

2x+3(2)=4 This is substitution. Please help I am stuck

1 answer:

Ber [7]2 years ago

7 0

Answer:

x = -1

Step-by-step explanation:

2x + 3(2) = 4

2x + 6 = 4 Multiply 2 and 3 to get 6.

2x = -2 Subtract 6 from both sides to isolate 2x.

x = -1 Divide both sides by 2 to find x.

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th

Nata [24]

the height of the house is $408ft$ .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:

Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ $Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}$

⇒ $Tan32 = \frac{y}{x}$

⇒ $y=x(Tan32 )$ ..................(1)

Also , At point B

⇒ $Tan42 = \frac{y}{x-200}$

⇒ $y=(x-200)(Tan42)$ ..............(2)

Equating both equations:

⇒ $(x-200)(Tan42) = x(Tan32)$

⇒ $x(Tan42-Tan32)=Tan42(200)$

⇒ $x=\frac{Tan42(200)}{(Tan42-Tan32)}$

⇒ $x=653ft$

Putting $x=653ft$ in $y=x(Tan32 )$ we get:

⇒ $y=x(Tan32 )$

⇒ $y=653(Tan32 )$

⇒ $y=408ft$

Therefore , the height of the house is $408ft$ .

4 0

3 years ago

Rewrite the expression without parentheses.<br> 13m−(−9m−4)

svetoff [14.1K]

Answer:

22m+4

Step-by-step explanation:

Let's break it down:

13m+-1(-9m-4)

13m+(9m+4)

22m+4

7 0

2 years ago

Read 2 more answers

Help plssssss<br>1. (x +3) 2<br>2. 6÷2(1+2)<br>3. 15-1(12÷4+1)<br><br><br><br>

Lisa [10]

1. 2x+7
2. 9
3.11
I help u there aowonxpwkdowiwvbwicbwocbiwcb

5 0

2 years ago

Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has

ki77a [65]

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^ $\frac{1}{2}$ = $\frac{5}{6}$

Now

ratio of volume = (ratio of side)^3 = $\frac{5^{3}}{6^{3}}$ = 125 : 216

Based on the above information, the calculation is as follows

$\frac{125}{216} = \frac{250}{x}$

So,

$x = \frac{250 \times 216}{125}$

= 432m^3

5 0

3 years ago

The Stock Market nadia is a stockbroker. Earns 14% commission each week. Last week, sold 7200$ worth of stocks. How much did

elena-s [515]

Answer:

Step-by-step explanation:

C=0.14×7,200=1008

Nadia made a total of $1008 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission× number of weeks in 2011

where;

Average weekly commission=$1008

number of weeks in 2011=52

replacing;

Total amount (2011)=(1008×52)=52,416

The total amount Nadia in commission in 2011=$52,416

4 0

3 years ago