A constant force of vector F = (23,33) moves an object along a vector D = (20,18) , where units are in pounds and feet. Find the
2 answers:
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Answer:
D
Step-by-step explanation:
First, let us figure out what is graphed and then manipulate each answer to try to match it.
The one with a positive slope is
The one with the negative slope is
Now that we have our graphed system of inequalities, we can try to match them to an answer.
A. while the x-2 is the same, the other does not have an x, so it cannot match.
B. The second inequality has the wrong sign, so it is impossible for this to be our answer.
C. When each of these are solved for y, you get . Neither of these match so this cannot be correct.
D. When the first inequality is solved you get
When the second inequality is solved you get
As both of these answers match our graphed inequalities, D is the correct answer.
Answer:
The player throws 127.3 ft from second base to home plate.
Step-by-step explanation:
Given:
Distance from home to first base = 90 ft
Distance from first base to second base = 90 ft
We need to find the distance from second base to home.
Solution:
Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.
Now by using Pythagoras theorem which states that;
Square of the hypotenuse side is equal to sum of squares of other two sides.
framing in equation form we get;
distance from second base to home =
Rounding to nearest tent we get;
distance from second base to home = 127.3 ft
Hence The player throws 127.3 ft from second base to home plate.
Answer: (4, -9)
<u>Step-by-step explanation:</u>
Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. <em>I will be eliminating y</em>
6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30
-7x - 2y = -10 → 1(-7x + 2y = -10) → <u> -7x - 2y = -10</u>
5x = 20
x = 4
Next, replace "x" with "4" into either equation and solve for y.
6(4) + y = 15
24 + y = 15
y = -9
<u>Check:</u>
Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.
-7x - 2y = -10
-7(4) - 2(-9) = -10
-28 - -18 = -10
-28 + 18 = -10
-10 = -10
