We know that
the euclid's division A/B implies A= BQ + R
wher Q = the quotient, and R is the remainder
<span>after doing euclid's division, (3x^3+15x^2+17x+3)/x+5 = 3x²+17and R= - 82
so </span>(3x^3+15x^2+17x+3= (3x²+17) (x+5) -82
the answer is x^3+15x^2+17x+3= (3x²+17) (x+5) - 82
Answer:
(344*20) + ( 2*20) = (20*2) = ?
Step-by-step explanation:
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer: 312 students purchased a ticket
Step-by-step explanation:
Let x represent the number of raffle tickets sold to parents.
Let y represent the number of raffle tickets sold to students.
The school sold 371 tickets. This means that
x + y = 371
x = 371 - y
The parent tickets cost $6 each and the student tickets cost $1.50 each and the school raised a total of $822. This means that
6x + 1.5y = 822 - - - - - - - -1
Substituting x = 371 - y into equation 1, it becomes
6(371 - y) + 1.5y = 822
2226 - 6y + 1.5y = 822
- 6y + 1.5y = 822 - 2226
- 4.5y = - 1404
y = -1404/-4.5
y = 312
x = 371 - y
x = 371 - 312
x = 59
They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.
