Answer:
11/8 or 1 3/8
Step-by-step explanation:
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one zero
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ANSWER
the area of the trim around the glass in the window is option ( D)
i.e (x²+7x+3)
REASON
As given in the question
A window frame has a length of (5x+3) inches an a width of (x+6) inches.
As the shape of the window in the form of rectangle.
Formula
Area of the rectangle = length × breadth
put the value in the above equation
we get
Area of window = (5x+3)× ( x + 6)
= 5x² + 33x + 18 inches²
As given in the question
The area of the glass in the window is (4x²+26x+15) square inches.
Area trim around the glass in the window = area of the window - area of the glass.
put the value
we get
= ( 5x² + 33x + 18 ) - ( 4x²+26x+15)
= 1x²+ 7x + 3 inches²
therefore the correct option is (D)
Hence proved
Answer:
x= -10
Step-by-step explanation:
PEMDAS
First you multiply- -2x?
You don't know what x is so you subtract 4 for 16
16-4=12
2-12= -10
Answer:
Adjacent, b = 45 units
Step-by-step explanation:
Let the length of sides of the triangle be;
- Opposite side = a
- Adjacent side = b
- Hypotenuse side = c
<u>Given the following data;</u>
Hypotenuse, c = 53 units
Opposite, a = 28 units
To find the missing side (adjacent), we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
53² = 28² + b²
2809 = 784 + b²
Rearranging the equation (collecting like terms), we have;
b² = 2809 - 784
b² = 2025
Taking the square root of both sides, we have;
b = √2025
<em>Adjacent, b = 45 units</em>