The length of a rectangle is 3inches more than its width if the perimeter is 42inches find the dimensions of the rectangle
1 answer:
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Answer:
Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.
Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7
Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49
Add.
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
- 13.03<u>8</u>4048104
The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
Explanation
Answer
As you can see all the possible answers have the same form:
By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:
So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:
Then we can divide both sides by 4:
Then we get:
Then the answer is option A.