F is a function. It takes inputs and then produces an output.
The notation <span>f(x)</span> is saying more specifically that the function is taking an input x and producing the output <span>f(x)</span>.
For example, if you look at <span>f(x)=<span>x2</span></span>, you can think that f is the "squaring function", with input x and outputs <span>x2</span>.
You can think that <span>"f"</span> is like the name of the function.
<span><span>f1</span>(x)=<span>x2</span></span>
<span><span>f2</span>(x)=<span>6x</span>+3</span>
Above, you know which function I'm talking about if I say <span>f2</span>. But often, people will just call it as the function <span><span><span>f2</span>(x)</span></span>
x + 12 = 13
Subtract 12 from both sides
x + 12 -12 = 13 - 12
x = 1
Answer
F. 1
Hey there!
First, we want to put the equation of this first line in slope-intercept form.
5y=x-5
We divide both sides by 5.
y=1/5x-1.
The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.
So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.
y= -5x+b
Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.
0=-5(-1)+b
0=5+b
b= -5
So, this gives us the equation y= -5x-5
Have a wonderful day!
Answer:
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Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
