Answer:
x² - 10x + 29
Step-by-step explanation:
The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )
Given
(x - 5)² + 4 ← expand factor using FOIL
= x² - 10x + 25 + 4
= x² - 10x + 29 ← in standard form
Answer:
x=1
Step-by-step explanation:
Convert decimals to fractions:
11/5x + 11/5 / 4= 1.1
Simplifies the fraction:
11x+11 / 20= 1.1
Remove denominator (then multiply by 20 on both sides):
11x+11=22
Move the x to the left:
11x= -11+22 → 11x=11
Simplify:
11x=11 → x=1
Answer:
Divide the total cubic yards by the width and height
Step-by-step explanation:
9514 1404 393
Answer:
a) 2
b) left: 3; lower right: 5
c) upper right: 53°; bottom: 82°
Step-by-step explanation:
<h3>3.</h3>
a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.
the scale factor is 2
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b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.
left side: 2×1.5 = 3
lower right side: 2×2.5 = 5
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c) Corresponding angles of similar figures are congruent.
upper right angle: 53°
bottom angle: 82°
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4.
The arithmetic of problem 4 is correct as shown.