Step-by-step explanation:
x = by - 3/2
x + 3/2 = by
y = x/b + 3/(2b)
now compare this to the first equation :
y = 2x + 3
the system has infinite solutions, if both equations are actually identical.
and they are only identical, if b = 1/2
y = x/(1/2) + 3/(2 × 1/2) = 2x + 3
The perimeter of a shape is the sum of its side lengths.
<em>Joshua miscalculated the third length of the triangle</em>
First, we calculate the third length (x) of the triangle.
Because the triangle is right-angled, we can make use of Pythagoras.
So we have:


Take square roots of both sides


The other shape in the figure is a square.
So, the perimeter (P) is
---- i.e. the sum of the visible lengths
So, we have:

Evaluate like terms:

Hence, Joshua's error is that:
<em>He miscalculated the third length of the triangle</em>
Read more about perimeters at:
brainly.com/question/6465134
Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.
y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.
y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.
y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.
Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
C = 2 pi r
C = 2 x 3.14 x 5
C = 31.4 yd
A = pi r^2
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 yd^2
Answer:
determining your current financial situation.
Step-by-step explanation: