Step-by-step explanation:
Hey there!
Follow the steps to get answer.
- Use one point formula and find 1st equation.
- After that you find the slope of second equation.
- Use the condition of perpendicular lines and find the slope of first equation.
- Put slope value of equation in equation (i) and simplify them to get equation.
The equation of a line passing through point (2,3) is;
(y-3)= m1(x-2).......(i).
Another equation is;
2nd equation..
Now, From equation (ii)
We have;
Comparing equation (ii) with y = mx+c.
We get;
Slope = -1/2.
For perpendicular lines,
Therefore the slope is 2.
Put value of slope (m1) in equation (i). We get;
Simplify them to get equation.
Therefore the required equation is y = 2x-1.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
1)0.1
2)0.05
3)1.65
4)1.75
Step-by-step explanation:
Answer:
1/40
Step-by-step explanation:
You have to find the amount of distance they traveled since the start of the journey. 3/5 + 3/8 is 39/40. How did we get that, you may ask?
We need to find a number that both 5 and 8 have to make. That can be 40. But how we made 5 and 8 40, we need to do the same to the top numbers. So 39/40 when we add them up. Finally, we need to substract that from the whole, and this gets you 1/40. Hope this helps.
Have a wonderful day, my friend.
Simple you get the area of the inner rectangle, then the area of the 2 semi circles then add them.
First, you need to notice that the diameter of each circle is same as the side of the rectangle (46m), also not that the 2 semi circles will make a complete one circle with radius (46/2)
so now we are left with the area of the rectangle+the area of a circle with radius of 32m
The total area= (46*92)+(3.14*(32^2))= 7447.36m^2
and to keep you significant figures the answer is rounded to 3 digits, so the final answer will be 745m^2.
Hope this helps, thanks.
Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have
x≤-10
In order to cancel out the
on the left and isolate x, we multiply both sides by
(since
·
=1). Thus, we have
x≤-10·
=-15
Therefore, x≤-15
