The value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²
<h3>How to evaluate the product?</h3>
The expression is given as:
(-2x-9y²)(-4x-3)
Expand the expression
8x² + 6x + 27y² + 36xy²
Hence, the value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²
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Answer:
x ≤ 30
Step-by-step explanation:
'at most' means the same as 'less than or equal to'.
The sign 'for less than or equal' to is ≤.
So it's simply x ≤ 30.
Answer:
The hypotenuse of the triangle measures 13 inches.
Step-by-step explanation:
Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:
5 ^ 2 + 12 ^ 2 = X ^ 2
25 + 144 = X ^ 2
√169 = X
13 = X
Therefore, the hypotenuse of the triangle measures 13 inches.
Yes because it is linear, also if you set up the proportion 2/4=1/2 they are equal.
Answer:
C
Step-by-step explanation:
To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.
Semi-circle:
The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into
. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is
. The semi circle in the shape is the areas subtracted which equals 12π.
Rectangle:
The area of the rectangle is found using A = b*h = 2*5 = 10.
The total area is 12π + 10 meters squared.