Answer:
1.) 15
2.) -21
3.) -15
4.) 21
Step-by-step explanation:
Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4
Therefore, the required equation is: y = (1/2)x + 4.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that 
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:
Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
56 feet.....................
Vertical angles are where the top equals the bottom or the left equals the right angle. So we would do:
8x - 13 = 5x + 8
And then substitute.
3x = 21
x = 7
