X-y=-1
x+y=5
y=x+1
x+x+1=5
2x+1=5
2x=4
x=2
y=x+1
y=2+1
y=3
Question
15 is the same as the product of 3 and a number. Which equation models this sentence?
15=3x
15=x-3
15=3+x
15=x divided by 3
Answer:
<h2>
15=3x</h2>
Step-by-step explanation:
15 = 3x
x = 15 : 3
x = 5
.........................
check
15 = 3 * 5
15 = 15
the answer is good
Convert 2/4 to 4/8 and then look at the numerators. since 4 is greater than 3, 2/4 is greater than 3/8
Answer:
<CBA = <CDA
Step-by-step explanation:
Using <CBA = <CDA and Base angle theorem, you can say that AB = AD.
Now you have <CBA = <CDA, AB = AD, and CB = CD. These prove SAS.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
