Answer:
x = 2 , y = 11
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
PT = TR , that is
y = 5x + 1 → (1)
QT = TS , that is
2y = 6x + 10 → (2)
substitute y = 5x + 1 into (2)
2(5x + 1) = 6x + 10
10x + 2 = 6x + 10 ( subtract 6x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
substitute x = 2 into either of the 2 equations for corresponding value of y
substituting into (1)
y = 5(2) + 1 = 10 + 1 = 11
<span>Math Term Definition. Algebraic Expression. An algebraic expression
is a mathematical phrase that can contain ordinary numbers, variables
(like x or y) and operators (like add,subtract,multiply, and divide).
Here are some algebraic expressions: a + 1.</span>
Answer:
y-intercept= (0,-8)
slope= -1
Step-by-step explanation:
<h3><u>Question:</u></h3>
The perimeter of a rectangle is 34 units. Its width W is 6.5 units.
Write an equation to represent the perimeter in terms of the length L, and find the value of L
<h3><u>Answer:</u></h3>
The length of rectangle is 10.5 units
<h3><u>
Solution:</u></h3>
Given that,
Perimeter of rectangle = 34 units
Width of rectangle = 6.5 units
Let "L" be the length of rectangle
<em><u>The perimeter of rectangle is given by formula:</u></em>
Perimeter = 2(length + width)
<em><u>Substituting the values we get,</u></em>
![34 = 2(L + 6.5)](https://tex.z-dn.net/?f=34%20%3D%202%28L%20%2B%206.5%29)
Thus the equation is found
<em><u>Solve for "L"</u></em>
![L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5](https://tex.z-dn.net/?f=L%20%2B%206.5%20%3D%20%5Cfrac%7B34%7D%7B2%7D%5C%5C%5C%5CL%20%2B%206.5%20%3D%2017%5C%5C%5C%5CL%20%3D%2017%20-%206.5%5C%5C%5C%5CL%20%3D10.5)
Thus length of rectangle is 10.5 units
Answer:
circle S radii SU, ST, SR
Circle U radii UT, US, UR
Step-by-step explanation:
Radii start in the middle of the circle to the end of the circle.