Answer:
2x+15=145........ vertically Opposite
2x=145-15
2x=130
x=130/2
65
x=65
9514 1404 393
Answer:
x-intercept: (16, 0)
y-intercept: (0, 8)
Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable of interest.
I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.
<u>x-intercept</u>
y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16
x-intercept is (16, 0)
<u>y-intercept</u>
x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8
y-intercept is (0, 8)
_____
<em>Additional comment</em>
There is a form of the linear equation called the "intercept form" that looks like this:
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
You can get this form by dividing the standard form equation by the constant. Here, that gives ...
4x/64 +8y/64 = 1
x/16 +y/8 = 1
This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.
Answer:
XY = 18
Step-by-step explanation:
The figures are similar so the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
10 XY = 180 ( divide both sides by 10 )
XY = 18
Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
<h3>What is Ohm's Law?</h3>
Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.
It is expressed as;
V = IR
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
Given that;
Initially, A circuit has a current I = 1.2A
V = IR
R = V/I
R = V/1.2A ...... let this be equation 1
Next, voltage decreases to one-third of its original amount while the resistance remains constant.
Meaning Voltage = 1/3 of V = V/3
Hence;
V = IR
V/3 = IR
From equation 1 ( R = V/1.2A )
V/3 = I × V/1.2A
V/3 = IV/1.2A
We cross multiply
V1.2A = 3IV
I = V1.2A / 3V
I = 1.2A / 3
I = 0.4A
Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
Learn more about potential difference here: brainly.com/question/2364325
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