Answer:
<h2>y = 3.5x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<h3>y = mx + b</h3>
m - slope
b - y-intercept
We have y-intercept b = -2. Substitute:
<h3>y = mx - 2</h3>
We have the point (4, 12) → x = 4, y = 12. Put them in the equation:
12 = 4m - 2 <em>add 2 to both sides</em>
14 = 4m <em>divide both sides by 4</em>
14/4 = m → m = 3.5
Answer:
c
Step-by-step explanation:
Answer:
2 (real) solutions.
Step-by-step explanation:
A quadratic always has two solutions, whether they are real or complex.
Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).
In the case of
x^2+3x = 3, or
x² + 3x -3 = 0
we apply the quadratic formula to get
x = (-3 +/- sqrt(3^2+4(1)(3))/2
to give the two solutions
{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}
both of which are real.
The measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches
Let x = length of base and leg
The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)
Where: b = base
P = b₁ + b₂ + 2(leg)
28 = 3x + 5x + 2(x)
28 = 8x + 2x
28/10 = 10x/10
2.8 = x
Now, substitute the values:
P = b₁ + b₂ + 2(leg)
28 = 3(2.8) + 5(2.8) + 2(2.8)
28 = 8.4 + 14 + 5.6
28 = 28
Hence the measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches
23% is maybe the percentage but if not then it maybe a little higher or lower
