Answer:
y = 0
Step-by-step explanation:
Plug in 28 for x. Solve for the equation:
x + 3y = 28
(28) + 3y = 28
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:
28 (-28) + 3y = 28 (-28)
3y = 0
Isolate the variable, y. Divide 3 from both sides:
(3y)/3 = (0)/3
y = 0
y = 0 is your answer.
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Answer:
w = 26
Step-by-step explanation:
set up an equation; since this is a right angle, it equals 90 degrees
90 = w + 12 + 2w
90 - 12 = w + 2w
78 = 3w
78/3
w = 26
Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
^2
−
b
^2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
y
and
b
=
6
(
y
+
6
)
(
y
−
6
)
The factors of
375: 1; 3; 5; 15; 25, 75, 125, 375
66: 1; 2; 3; 6, 11, 22, 33, 66
33: 1, 3, 11, 33
