X+8(10x+25) how do u solve this
2 answers:
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Answer:
• x = -4, x = 0, x = 1
Step-by-step explanation:
x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)
The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)
Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.
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Of course, your graphing calculator can answer this almost as quickly.
Answer:
- (0, 5√3/2 + 2)
Step-by-step explanation:
Given is the absolute value function.
<u>Observations:</u>
- It has a slope of ±√3 and the y- intercept of 2.
- There is no horizontal shift, so the the y-axis is the line of symmetry.
- The y-axis is also an angle bisector of the two lines.
- The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.
We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
<u>The angle YAP₂ is:</u>
- arctan (1/√3) = 30°
<u>The distance AY is:</u>
- AY = AP₂ cos 30° = 5*√3/2
<u>The distance from the x-axis to the point Y is:</u>
- 5√3/2 + 2, added the y- intercept of the graphed lines
<u>The coordinates of the point Y:</u>
- (0, 5√3/2 + 2)
Answer:
22 feet
Step-by-step explanation:
Given
- In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
- The actual length(L)=7 feet
To find the actual perimeter, we need the breadth of balcony(B)
The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth
⇒
Therefore Breadth actually=4 feet
⇒Perimeter
Therefore perimeter of rectangular balcony= 22 feet