Answers:
1. X= 0
2. X= 0
3. X=3
You can use this method to solve them step by step, hope it will help!
Answer: X=9
Step-by-step explanation:
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Answer:
Your answer would be 3 miles.
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Explanation and work:
To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.
The equation we would use in this type of question is the Pythagorean Theorem.
Pythagorean Theorem:
a² + b² = c²
When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.
Lets start solving:
1.8 would be plugged into "a"
2.4 will be plugged into "b"
(1.8)² + (2.4)² = c²
↓ ↓ ↓
3.24 + 5.76 = c²
↓
9 = c²
↓
√9 = √c²
↓
3 = c
3 miles would be your FINAL answer.
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Answer:
On occasions you will come across two or more unknown quantities, and two or more equations
relating them. These are called simultaneous equations and when asked to solve them you
must find values of the unknowns which satisfy all the given equations at the same time.
Step-by-step explanation:
1. The solution of a pair of simultaneous equations
The solution of the pair of simultaneous equations
3x + 2y = 36, and 5x + 4y = 64
is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides
to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.
2. Solving a pair of simultaneous equations
There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a
single equation which involves the other unknown. The method is best illustrated by example.
Example
Solve the simultaneous equations 3x + 2y = 36 (1)
5x + 4y = 64 (2) .
Solution
Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation
6x + 4y = 72 (3)
Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:
6x + 4y = 72 − (3)
5x + 4y = 64 (2)
x + 0y = 8
When a figure is dilated, this means the corresponding sides of the shape is enlarged in a uniform multiple. In this case, the ratio of the sides remains the same. Thus, when ratio of the sides remain the same, the corresponding angles are also congruent in the dilated figure. The answer here is B. similar
