Answer:
x=-2
Step-by-step explanation:
2(x+3)-10=4x
2x+6-10=4x
6-10=2x
-4=2x
-2=x
Answer:
Distance from the point to the line will be 
Step-by-step explanation:
We have given the equation of the line is y = 2x\
So the equation of line will be y-2x = 0
Point from which we have to find the distance is (-2,1)
Distance from a point to line is given by 
, here A = -2 , B = 1 and C = 0
And point x = -2 and y = 1
So 
So distance from the point to the line will be
Answer:
<em>n = 6 </em>
Step-by-step explanation:
2.3 × 
= (1 × 10³)(2.3 × 
)
(1 × 10³)(2.3 × ) = (1)(2.3) × (10³)( ) = 2.3 × 
2.3 × = 2.3 × ⇒ 3 + n = 9 ⇒ <em>n = 6</em>
Answer:
y =x² + y² + 2y - 35
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)²+(x-b)² = r²
Where; (a, b) is the center of the circle and r is the radius
Therefore;
(x-0)² +(y+1) = 6²
x²+ y² +2y + 1= 36
x² + y² + 2y - 35 = 0
Therefore; The equation of the circle is y = x² + y² + 2y - 35
Step-by-step explanation:
he has 900-230 = 670 more push-ups to do in the remaining 20 days.
so, he has to do every day
670/20 = 67/2 = 33.5 push-ups.
fractions of push-ups don't make sense.
we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .
so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.
p > 33
or
p >= 34
both should be correct in the context of using only whole numbers.
bur in case of doubt I would pick p >= 34.
