Answer:
11,448 in²
Step-by-step explanation:
The area can be computed from ...
... A = 2(LW +H(L+W))
For the given prism, the area will be ...
... A = 2(18·12 +14(18+12)) = 2(216 +420) = 1272 . . . . in²
The area of a similar figure with dimensions 3 times as long will be 3² times as much. The area of the new figure is ...
... A = 3²×(1272 in²) = 11,448 in²
Answer:
the no. is -7
Step-by-step explanation:
let the no. be x
5x-x+2=-26
=> 4x+2=-26
=> 4x=-26-2
=> 4x=-28
=> x=-28/4
=> x=-7
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Answer:3/5
Step-by-step explanation:
Answer: 300 cents, or $3
Step-by-step explanation: the answer can be found by dividing 100 inches by 11 inches as we know the cost of 11 inches. We then multiply this value by 33 (the cost of 11 inches). This problem is somewhat neat as since 33 is a multiple of 11, we can cancel the 11 out and be left with a clean solution of 100 * 3 for 300 cents.
Answer:
In general, quadratic equations have two x-intercepts. But sometimes it happens that a quadratic eqution has one x-intercept or no interepts. That's why we should fully analyze this equation:
Given the following equation: y=3x^2 + 7 + m
If y=0, then:
3x^2 + 7 + m = 0 ⇒ x^2 = (-m-7)/3
Then ±
Given that we can take the square root of a negative number, the only way this equation has two x-intercepts is if m<-7.
Summarizing:
The equation: y=3x^2 + 7 + m has two x-intercepts only if m is less than -7. If m equals -7, the equation has only one x-intercept, and finally, if m is greater than -7, the equation has NO x-intercepts.