Answer:
left, 8
down, 5
Step-by-step explanation:
The equation is $130 + $31.67x = 500
Subtract 130 from both sides $31.67x = $370
Divide $31.67 from both sides
X=11.68
BUT
you can’t have .68 of a day so the answer is 11 days.
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression
is equivalent to the <em>trigonometric</em> expression
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression
is equal to the <em>trigonometric</em> expression
. Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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1) a. 15% decrease
2) a. $79.20
3) b. 14.3% increase
4) a. $4.68
#1 explanation:
1435 - 1220 = 215
215/1435 = 0.1498
0.1498 x 100 = 14.98 = 15%
#2 explanation:
220 x 0.6 = 132
220-132=88
88 x 0.1 = 8.8
88-8.8 = 79.2 $
#3 explanation:
32-28=4
4/28=0.1428
0.1428 x 100 = 14.28 = 14.3%
#4 explanation:
275 x 0.15 = 41.25
275-41.25 = 233.75
233.75 x 0.02 = 4.675 = 4.68 $
Answer:
The two numbers can be -12 and 11, or 11 and -12.
Step-by-step explanation:
xy=-132
x+y=-1
-------------
x=-1-y
(-1-y)y=-132
-y-y^2=-132
-y^2-y-(-132)=0
-y^2-y+132=0
y^2+y-132=0
factor out the trinomial,
(y-11)(y+12)=0
zero property,
y-11=0, y+12=0,
y=0+11=11,
y=0-12=-12
x+11=-1 & x+(-12)=-1
x=-1-11=-12
x=-1-(-12)=-1+12=11