Answer:
(x² + 4x + 2)(2x² + 3x - 4) equals 2x⁴ + 11x³ + 12x² - 10x - 8
Step-by-step explanation:
<em>(x² + 4x + 2)(2x² + 3x - 4)</em>
Multiply each term in the first parentheses into the expression in the second parentheses.
<em>2x⁴ + 3x³ - 4x² + 8x³ + 12x² - 16x + 4x² + 6x - 8</em>
Combine like terms.
<em>2x⁴ + 11x³ + 12x² - 10x - 8</em>
So, your answer would be letter choice B.
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Uh sure what type of cereal?
In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have
In order to find XY, we have
So, the ratio for the sine is
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
Answer:
11.5 cm
Step-by-step explanation:
The dimensions of a right angled triangle can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
a² + 8² = 14²
a² + 64 = 196
a² = 196 - 64
a² = 132
find the square root of 132
a = 11.5 cm
