Answer:
Step-by-step explanation:
Y=-3x+15
Comparing to y = mx + c
Slope m = -3
Intercept c = 15
Answer:
62.73° or 1.09 radians
Step-by-step explanation:
SOH CAH TOA
sin =
, so sin (?) = 
this means that ? =
or ? = arcsin(
), depending on what calculator you have
plugging in
or arcsin(
) into calculator will get you
62.73° or 1.09 radians
use the corresponding answer depending on if the question asks for degrees or radians
Mode 17,
Mean is 19.3
Median 18.
Step-by-step explanation:
x = by - 3/2
x + 3/2 = by
y = x/b + 3/(2b)
now compare this to the first equation :
y = 2x + 3
the system has infinite solutions, if both equations are actually identical.
and they are only identical, if b = 1/2
y = x/(1/2) + 3/(2 × 1/2) = 2x + 3
<h2>
The required "option B) 60°" is correct.</h2>
Step-by-step explanation:
In question figure,
∠ YUV = 40°, ∠ XUY = 105° and ∠WUX = 155°
To find, the value of ∠ VUW = ?
We know that,
The circle having 360°
∴ ∠ VUW + ∠ YUV + ∠ XUY + ∠WUX = 360°
⇒ ∠ VUW + 40° + 105°+ 155° = 360°
⇒ ∠ VUW + 300° = 360°
⇒ ∠ VUW = 360° - 300°
⇒ ∠ VUW = 60°
∴ The value of ∠ VUW = 60°
Hence, the required "option B) 60°" is correct.