Answer:
x=5, y=3
Step-by-step explanation:
1) x+3y=14,4x+5y=35
2) x+3y=14
3) x=-3y+14
4) 4(-3y+14)+5y=35
5) -12y+56+5y=35
6) -7y+56=35
7) -7y=-21
8) y=3
9) x=-3\times 3+14
10) x=-9+14
11) x=5
finale and last : x=5,y=3 ✅
An integer is close to zero if it is "small".
By small, we mean that it is small in absolute value. In fact, for any given distance
, there are two integers that are
units away from zero:
and
.
So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.
So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.
Answer:
y=-3x-3
Step-by-step explanation:
Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.
Method.
The exterior angles of a regular figure add up to 360°.
Step One
Find out the size of the exterior angles of a regular pentagon.
There are 5 such angles. They add up to 360°
5x = 360 Divide by 5
x = 360 / 5
x = 72°
Step Two
Find out the value of the interior angles of a pentagon.
Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180° Subtract 72 from both sides.
Interior Angle = 180° - 72°
Interior Angle = 108°
Step Three
Solve for y.
There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°
y + 3*interior angles = 360°
y + 3*108 = 360
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°
Answer:
y = 4x-9
Step-by-step explanation:
16x-4y-36 = 0
-4y = -16x+36(subtract 16x from both sides and add 36)\
y = 4x-9(divide both sides by -4)