What is formula of sec(A+B)

Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

5 0

3 years ago

How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer

Vikentia [17]

Answer:

43,200 minutes in 1months or 30 days

7 0

2 years ago

Read 2 more answers

Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The month

Dmitrij [34]

If you have a $460,000 loan at 6% interest for 25 years; payments should be $2,963.79, not $2962.40. At $2,963.79, $2,300 would be interest, $663.79 would be principal. After that first payment your balance would be $459,336.21.
Hope I helped!!

5 0

3 years ago

Carrie borrowed $960 in interest free to pay for a car repair. She will pay $120 monthly until the loan is paid off. How many mo

astraxan [27]

Answer:

It will take Carrie 8 months to pay off the loan

Step-by-step explanation:

Step 1: Determine the expression for total amount to be paid

T=m×n

where;

T=total amount to be payed

m=total payments per month

n=number of payments to be made

In our case;

T= $960

m= $120

n=unknown

replacing;

960=120×n

120 n=960

n=960/120

n=8 months

It will take Carrie 8 months to pay off the loan

6 0

2 years ago

Plese answer the puzzle please

____ [38]

Look at the attached picture⤴

Hope this will help u...

8 0

3 years ago

What is formula of sec(A+B)​

What is formula of sec(A+B)