Answer:
2.25
Step-by-step explanation:
x^2 + 3x =6
Take the coefficient of the x term
3
Divide by 2
3/2 = 1.5
Square it
1.5^2 =2.25
Add this to both sides of the equation
Since one piece is four time the length <em>x, </em>we can represent that as 4x.
Thus making the equation:
4x+x=275
5x=275
x=55
4(55)=220
220+55=275
So, the length of the longer piece is 220 inches, and the length of the shorter piece is 55 inches.
Answer:
Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.
Step-by-step explanation:
Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.
This is because we know from the property of an equation that common numbers of two sides of an equation cancel each other and the equation gets simplified.
So, if we multiply the same number to both sides of an equation then the common multiplier gets automatically canceled out and finally, the original equation remains the same.
Answer: x intercept = 6
This is the location (6,0)
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Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
For number one, the answer will be C because the ratio between the side and the perimeter of the Pentagon will be 1/5 or 2/10 or 3/15. For number 2, we know that the Pentagon had 5 sides, and the side of it is 8, so the perimeter of this Pentagon will be 8+8+8+8+8 or 40 inches, which is C. Hope it help!
