Answer:
Patrick walk approximately <u>112 yards</u>.
Step-by-step explanation:
Given:
A rectangular field is 50 yards wide and 100 yards long.
Patrick walks diagonally across the field.
Now, to find the distance he walk.
Length of the field = 100 yards.
Width of the field = 50 yards.
Now, to get the diagonal distance we put formula:
Therefore, Patrick walk approximately 112 yards.
Using the numbers 1 through 9 only once in the boxes, the largest value of x you can get is <u>7</u>.
<h3>What are mathematical operations?</h3>
Mathematical operations refer to the calculation of values using operands and mathematical operators.
Mathematical operations are formed like functions to take zero or more input values (operands) to a well-defined output value.
Some of the mathematical operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.
<h3>Data and Calculations:</h3>
Mx + y = z
Let m = 1
x = 7
y = 2
1 x 7 + 2 = 9
7 + 2 = 9
9 = 9
Thus, using the numbers 1 through 9 only once in the boxes, the largest value of x you can get is <u>7</u>.
Learn more about mathematical operations at brainly.com/question/20628271
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Answer:
A
Step-by-step explanation:
Given (x + h) is a factor of f(x) then f(- h) = 0
Given
p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then
p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is
- 1 - 4 - a + 20 = 0
15 - a = 0 ( subtract 15 from both sides )
- a = - 15 ( multiply both sides by - 1 )
a = 15 , thus
p(x) = x³ - 4x² + 15x + 20
If p(x) is divided by (x + h) then p(- h) is the remainder, so
p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is
- 8 - 16 - 30 + 20 = - 34 → A
