Multiply 135 by 98 to find the answer and see if it goes above 14,000 or below
The expression representing the perimeter is 6x + 39
x = 3. 8
<h3>What is the perimeter?</h3>
The formula for perimeter of a rectangle is given as;
Perimeter = 2 ( length + width)
From the image shown, we have that:
- length = 2x
- width = x + 13
Now, let's substitute the value
Perimeter = 2 ( 2x + x + 13)
collect like terms
Perimeter = 2 ( 3x + 13)
Expand the bracket
Perimeter = 6x + 39
If perimeter = 62
62 = 6x + 39
6x = 62 - 39
6x = 23
x = 23/ 6
x = 3. 8
Thus, the expression representing the perimeter is 6x + 39
Learn more about perimeter here:
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Answer:
The image of AB will be 15 cm long after dilation by a scale factor of 5.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
Rule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin
AB = length → A'B' = 5(length)
It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.
so
AB = 3 cm
Thus, the length of image A'B' will be:
A'B' = 5(3) = 15 cm
Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.
Answer:
(f + g)(x) = x² + 4x - 4
Step-by-step explanation:
The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) <----- Original statement
f(x) + g(x) <----- Rewrite
(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)
4x + x² - 4 <----- Add 1 and -5
x² + 4x - 4 <----- Rearrange the terms
Positive 10
Hope this helps you out