Answer:
The area of a rectangle is:
\sf A=lw
Plug in what we know:
\sf x^2-7x+10=l(x-5)
Factor the left side:
\sf (x-2)(x-5)=l(x-5)
Divide (x - 5) to both sides:
\sf l=\boxed{\sf x-2}
So the length is x - 2 meters.
Step-by-step explanation:
The equations that can be used are 10T + 5S = 190 and T + S = 30.
<h3><u>Equations</u></h3>
Given that the girls tennis team was interested in raising funds for an upcoming trip, and the team sold tumblers for $10 and sun hats for $5, and when the sales were over, the team had earned $190 and sold 30 total products, which included a mix of tumblers and hats, to determine which equations can be used to represent the situation, the following calculations must be made:
- T + S =190
- -It cannot be used because it has any relationship with the price of the products.
- 10T + 5S = 30
- -It cannot be used because it only considers the quantity variable.
- T + S = 30
- -It can be used as it shows the amount of products sold.
- 10T + 5S = 190
- -It can be used because it relates the total price to the quantity of each product.
- T + S = 15
- -It cannot be used because it only considers the price variable.
- 5T + 10S = 190
- -It cannot be used because it erroneously relates the price of each product.
Therefore, the equations that can be used are 10T + 5S = 190 and T + S = 30.
Learn more about equations at brainly.com/question/26511270.
The measures of the legs of the right triangle are:
X = 2.5
Y = 4.3
<h3>
How to find the values of x and y?</h3>
In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.
To find the values of X and Y (the legs of the triangle) we can use the two relations:
Sin(a) = (opposite cathetus)/(hypotenuse)
Cos(a) = (adjacent cathetus)/(hypotenuse)
In this case, we have:
a = 30°
hypotenuse = 5
opposite cathetus = X
adjacent cathetus = Y.
Replacing that in the relations we get:
Sin(30°) = X/5
Sin(30°)*5 = X = 2.5
cos(30°) = Y/5
cos(30°)*5 = Y = 4.3
Learn more about right triangles:
brainly.com/question/2217700
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Step-by-step explanation:
x -2 -1 2 7
y -6 -6 -2 3
All y are in under root
Answer:
positive
Step-by-step explanation:
