Answer:
7/5 is the scale factor
Step-by-step explanation:
Answer:
The equation of a straight line is
-3 x+5 y=15
Step-by-step explanation:
Given x - intercept of (-5,0) and y- intercept is (0,3)
here (-5,0 ) point lie on x- axis and (0,3) this point lie on y- axis
we know that the x- intercept 'a' and y- intercept 'b' formula is

so given x - intercept a =-5 and y- intercept is b= 3
now the straight line equation is 
now simplify 

Answer:
The palm tree is 12 m tall.
Step-by-step explanation:
1. The first to see is to consider this as triangle formed by the palm tree, the shadow, and the line from the top of the tree to the tip of the shadow to the tip the palm.
2. Assign variables to each distance in the triangle
Palm length= X
Shadow length= y
line from the top of the tree to the tip of the shadow to the tip the palm = Z
3. Describe the equation, reading the text:
(1) y=x-7
(2) z=x+1
(3)
(this last one is from pitagoras theorem)
4. We solve the system:
{y = x - 7, z = x + 1, z^2 = x^2 + y^2}
Solutions
x = 4, y = -3, z = 5
x = 12, y = 5, z = 13
Since the distance can't be negative. The answer is the palm tree is 12 meters tall.
https://www.wolframalpha.com/input/?i=y%3Dx-7%3B+z%3Dx%2B1%3Bz%5E2%3Dx%5E2%2By%5E2
The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
<h3>How to solve the expression?</h3>
The expression is given as:
4x + 5xy - 2y
The above expression cannot be solved.
However, the expression can be grouped
So, we have:
4x + 5xy - 2y
Rewrite 5xy as 4xy + xy
So, we have:
4x + 5xy - 2y = 4x + 4xy + xy - 2y
Factorize the expression
4x + 5xy - 2y = 4x(1 + y) + y(x - 2)
Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
Read more about expressions at:
brainly.com/question/723406
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Answer:
2
Step-by-step explanation:
1/8 x 16=2
1/8 pound=2 ounces
1 pound= 16 ounces