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sleet_krkn [62]
3 years ago
9

A rectangular poster has an area of 190 inches squared. The height of the poster is one inch less than twice its width. Find the

dimension of the poster.
PLEASE SHOW ALL THE WORK!
Mathematics
1 answer:
Annette [7]3 years ago
4 0
Set the height to h, and the width to w.

We know that wh=190 and h=2w-1.

Substituting 2w-1 for h, we have:

w(2w-1)=190

So:
2w^2-w-190=0

Factoring this equation, we get (2w+19)(w-10)=0.  The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
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Use substitution to solve the<br> following system of equations.<br> - 4y - 5x = 30 AND x= y + 3
IRISSAK [1]

Answer:

The solution to the system of equations is y = -5 and x = -2.

Step-by-step explanation:

The question tells us to use substitution to solve the system.  This means that the given value for x (in terms of y) should be substituted into the other equation.  This is modeled below:

-4y - 5x = 30

-4y - 5(y+3) = 30

Next, we should use the distributive property to simplify the left side of the equation.

-4y -5y - 15 = 30

The next step is to combine like terms on the left side of the equation.

-9y - 15 = 30

Then, we can add 15 to both sides of the equation.

-9y = 45

Finally, we can divide both sides of the equation by -9.

y = -5

To find the value for x, we substitute in the value we just found for y into either of our original equations.

x = y + 3

x = -5 + 3

x = -2

Therefore, the correct answer is y = -5 and x = -2.

Hope this helps!

3 0
3 years ago
Triangle A C B is shown. Angle A C B is a right angle. Altitude h is drawn from point C to point D on side A B, forming a right
monitta

Answer:

Answer B.) \sqrt[2]{70}

6 0
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What is the equation of the line given the table
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Step-by-step explanation:

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Andre45 [30]
To get an average, you must do the following steps.

step 1:add all the numbers together.
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918183.5/5


your answer is: 183636.7
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hope this helps :D
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It's thirteen because it is too large.
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