Answer:
112 Ounces
Step-by-step explanation:
2 Cups + 4 Pints + 2 Quarts = 14 Cups
14 Cups = 112 Ounces
Answer:
The area of this shape equals 
Step-by-step explanation:
From the diagram, we can see that this shape is a parallelogram (since opposite sides are equal to each other). The formula for the area of the parallerlogram is as follows:
(where "b" is the base, and "h" is the height).
And so we get...

Answer:
the base of the ramp is 31 inches long.
Step-by-step explanation:
c = a/sin(α)
= 33.48514
b = √c2 - a2
= √33.4851373155042 - 122
= √977.25442103816
= 31.26107
Answer:
x = 3 + √6 ; x = 3 - √6 ;
; 
Step-by-step explanation:
Relation given in the question:
(x² − 6x +3)(2x² − 4x − 7) = 0
Now,
for the above relation to be true the following condition must be followed:
Either (x² − 6x +3) = 0 ............(1)
or
(2x² − 4x − 7) = 0 ..........(2)
now considering the equation (1)
(x² − 6x +3) = 0
the roots can be found out as:

for the equation ax² + bx + c = 0
thus,
the roots are

or

or
and, x = 
or
and, x = 
or
x = 3 + √6 and x = 3 - √6
similarly for (2x² − 4x − 7) = 0.
we have
the roots are

or

or
and, x = 
or
and, x = 
or
and, x = 
or
and, 
Hence, the possible roots are
x = 3 + √6 ; x = 3 - √6 ;
; 
To find the intercepts, we can set the opposite variable equal to 0 and solve.
Let's find the x intercept first.
5x - 4(0) = -20
5x = -20
Divide both sides by 5.
x = -4
<h3>The x intercept is -4.</h3>
Now let's find the y intercept.
5(0) - 4y = -20
-4y = -20
Divide both sides by -4.
y = 5
<h3>The y intercept is 5.</h3>