bill knows that the volume of a rectangular prism is 400cm3. The box is labelled with the length as 6.5cm and the width as 1.5cm
2 answers:
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Answer:
Option 3
Step-by-step explanation:
All equations are in slope-intercept form.
The 'm' is the slope.
The 'b' is the y-intercept.
The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.
<em>Let's look over the equations:</em>
<h3>Equation A:</h3>In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.
<h3>Equation B:</h3>In this equation, 3 replaces 'm', so the rate of change for this equation is 3.
<h3>Equation C:</h3><h3>In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.
<h3>Equation D:</h3><h3>In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.
Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.
Answer:
16
Step-by-step explanation:
To solve this equation, we need the formula for perfect squares:
or
<em>this is the formula we will use because the signs match the one in the question</em>.
Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.
Work:
- this is the setup for being able to solve for the unknown
, now we need to solve for
(I replaced
with
because I'm setting up this question to be a perfect square).
- multiply the left side. Remember that your answer will not be
, but
.
- Divide like terms and isolate the variable. In this case,
and
are on both sides, so dive them and they will be canceled out.
- divide by
and you will have your value for
- Now we plug
Our final answer is 16.