Let x be one number and y be the other.
x + y = 54 ------------- (1)
x - y = 10 ------------- (2)
.
<u>Add (1) and (2):</u>
2x = 64
<u>Divide both sides by 2:</u>
x = 32
-
<u>Plug x = 32 into (1):</u>
32 + y = 54
<u>Take away 32 from both sides:</u>
y = 22
-
Answer: The two numbers are 32 and 22.
Answer:
<em>We </em><em>can </em><em>write </em><em>7</em><em>1</em><em>5</em><em>.</em><em>7</em><em> </em><em>in </em><em>scientific </em><em>notation </em><em>by </em>
<em>7</em><em>.</em><em>1</em><em>5</em><em>7</em><em>*</em><em>1</em><em>0</em><em>^</em><em>2</em>
The easiest way to do this is to realize this is a <em>weighted average</em> of the two points. (A weighted average is a linear combination where the coefficients add to one.)
(x,y) = (1-t)C + tD
where t is a real parameter. When t=0 we're at point C, when t=1 we're at point D. We're interested in t=1/4,
(x,y)= (3/4) C + (1/4) D
We're only asked for the x coordinate:
x = (3/4) (1) + (1/4) (-4) = 3/4 - 1 = - 1/4
Answer: 
Answer:
cosθ = 
Step-by-step explanation:
This is a 5- 12- 13 right triangle then
cosθ =
= 
Answer:-72
Step-by-step explanation:
(6)*(-12)
-72