The answer is: "p = 2" .
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Explanation:
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Given:
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" 8p + 8 = 10 + 7p " ; Solve for "p" ;
Subtract "7p" from each side of the equation; & subtract "8" from each side of the equation; as follows:
8p + 8 − 7p − 8 = 10 + 7p − 7p <span>− 8 ;
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to get:
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"p = 2 " ; which is our answer.
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Answer:
The answer is 8
Step-by-step explanation:
Plug -2 in for x. The double-negative inside the parenthesis makes it positive, then do the exponent.
Let's solve this by using the quadratic formula:
Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:
And so by evaluating those values we obtain:
Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:
Second Factor:
And so your factors are
meaning that those are your roots/x-intercepts.
Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer:
135 ft^2.
Step-by-step explanation:
The total surface area
= 2 * area of the triangular sides + area of the 3 rectangular sides
= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5
= 135 ft^2.
