Answer:
x = - 8, x = - 4
Step-by-step explanation:
x² + 12x + 32 = 0 ← in standard form
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
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The rule of exponents is ...
a^-b = 1/(a^b)
Answer:
B) -3x+y=1
Step-by-step explanation:
y=mx+b
b=y-intercept=1
m=slope=3/1
y=3x+1
-3x+y=1
Answer:

Step-by-step explanation:
A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:
, where
is the length of the shorter sides.
Solving, we get:
.
Plugging in
into
, we get:
.
Therefore, two sides have length
and two sides have length
.