slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:Answer:
The 'run' is
120
Explanation:
The simple way of explaining slope is to say
rise
run
The slope in this case is the simplified answer, so to find what it was, write equivalent fractions.
6
x
=
1
20
x
=
20
×
6
=
120
6
120
=
1
20
The 'run' is
120
Here we are given the three sides of the triangle.
So we have Heron's formula to find its area.
Heron's formula is given by :
where A, B and C are sides of triangle and S is semi perimeter which is given by,
plugging values of A, B and C to find S
S=13.5
Now plugging values of A, B , C and S in Heron's formula
A=26.14 mm²
Answer: Area of triangle is 26.14 mm².
