Answer:
Step-by-step explanation:
The function 
is a positive upwards opening parabola with the vertex at (0, 4), whereas
the function 
is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.
The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented as follows:
y = mx + b
where
Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4
Hence,
perpendicular lines follows the rule below:
m₁m₂ = -1
Hence,
5x - 3y = 4
5x - 4 = 3y
y = 5/ 3 x - 4 / 3
m₁ = 5 / 3
5/3 m₂ = -1
m₂ = - 3 / 5
Hence,
using (-4, 5)
5 = - 3 / 5 (-4) + b
5 = 12 / 5 + b
b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5
Therefore,
y = -3 / 5 x + 13 / 5
learn more on equation of a line here: brainly.com/question/10727767
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To solve each question, all you've got to do is add the two numbers together and then graph the result on the number line.
1.) -3 +(-1.5)
Add 3 to -1.5. It would be the same as subtracting 1.5 from -3(-3 - 1.5)
Final Answer: -4.5<span>
Or, since you are using a number line, start on -3 and go left 1.5 units and you will land on the -4.5 point. You go to the left because you are adding a negative number..
</span>
2.) 1.5+3.5
Add<span>
Final Answer: 5
</span>Or, since you are using a number line, start on 1.5 and go to the right 3.5 and you will land on 5. You go to the right because you are adding a positive number.<span>
</span>3.) 1/4 + 1/2
Multiply 1/2 by 2 to make both fractions have the same denominator
1/4 + 2/4
Add<span>
Final Answer: 3/4
</span>Or, since you are using a number line, start on 1/4 and go up 2/4 and you will land on 3/4 as the result.<span>
</span>4.) -1 1/2 + (-1 1/2)
Add -1 1/2 to -1 1/2. This would be the same as subtracting 1 1/2 from -1 1/2(-1 1/2 - 1 1/2)<span>
Final Answer: -3
</span><span>Or, since you are using a number line, start on -1 1/2 and go to the left 1 1/2 and you will land on the -3 point.</span>
Answer:
.2 repeating
Step-by-step explanation:
if you are allowed to use calculators, then do so, if not, you're going to have to do a lot of division
