The information from the first equation gives you the information needed for the second. To solve the first equation you must rearrange the equation to isolate X. In order to do that you can first move the 3 to the other side of the equation by subtracting it from both sides (5x + 3 - 3 = 4 - 3) and then simplify that to (5x = 4 - 3) and further to (5x = 1). Then to move the 5 you must divide both sides by 5 so you get (5x/5 = 1/5) which can be simplified to (x = 1/5)
From this you can use the X value and input it into the second equation
Y = -3(1/5) and then solve for Y.
Hope this helps!
Answer:
4 1/2
Step-by-step explanation:
2/3 of 6 3/4 = 4 1/2
because "of" in math means multiply
so 2/3 x 6 3/4 = 4 1/2
Answer:
351.9 cm^3
Step-by-step explanation:
d = diameter = 8 cm
r = radius = diameter/2 = 4 cm
h = height = 7 cm
volume = (pi)r^2h
volume = (3.14159)(4 cm)^2(7 cm)
volume = 3.14159(16 cm^2)(7 cm)
volume = 351.858 cm^3
Answer: 351.9 cm^3
Answer:
Point N
Step-by-step explanation:
According to Euclidean geometry, two points are coplanar when they are in the same line segment. By this approach, it is clear that points K and N are part of the same line segment and, consequently, point N is coplanar to point K.
Answer:
Option (D). 110°
Step-by-step explanation:
Since EB and AD are diameter,
=
= 180°
= 180° -------(1)
And ![m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BACD%7D%29%3Dm%28%5Cwidehat%7BAB%7D%29%2Bm%28%5Cwidehat%7BBCD%7D%29)
180° = 40° + ![m(\widehat{BCD})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BBCD%7D%29)
= 140°
Since, ![m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BBCD%7D%29%3Dm%28%5Cwidehat%7BBC%7D%29%2Bm%28%5Cwidehat%7BCD%7D%29)
= 140° [Given
]
= 70°
From equation (1),
= 180° - ![m(\widehat{BC})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BBC%7D%29)
= 180°- 70°
Therefore, measure of arc(EDC) = 110°
Option (D) will be the answer.