6681 divided by 53 equals

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

Kruka [31]

Answer:

y+4=-(2/5)(x-5) ----> equation of the line into point slope form

y=-(2/5)x-2 ----> equation of the line into slope intercept form

2x+5y=-10 ----> equation of the line in standard form

Step-by-step explanation:

step 1

Find the slope of the given line

we have

5x-2y=-6

isolate the variable y

2y=5x+6

y=2.5x+3

The slope m of the given line is m=2.5

step 2

Find the slope of the line perpendicular to the given line

We know that

If two lines are perpendicular, then their slopes are inverse reciprocal each other

so

m1=5/2

the inverse reciprocal is

m2=-2/5

step 3

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-2/5

point (5,-4)

substitute

y+4=-(2/5)(x-5) ----> equation of the line into point slope form

y=-(2/5)x+2-4

y=-(2/5)x-2 ----> equation of the line into slope intercept form

Multiply by 5 both sides

5y=-2x-10

2x+5y=-10 ----> equation of the line in standard form

4 0

3 years ago

Read 2 more answers

Last month, gianni used 6GB out of 8GB included in his cell phone plan. Lamar used 4GB out of 5GB included in his cell phone pla

anygoal [31]

Answer:

Lamar used a greater percent in their data (75%)

Step-by-step explanation:

If Gianni used 6 out of 8 and Lamar 4 out of fie we need to calculate the perecentages:

GIANNI:

If 8GB ---> 100%

6GB ----> X

we do the ecuation and the result is 75%

LAMAR:

If 5GB -----> 100%

4GB ------> X

we do again another ecuation. The result is 80%

solution: Lamar used a greater percent in his data. (80%)

6 0

3 years ago

My experrience to vollyball

Andrew [12]

Answer:

My Volleyball season experience

As I had been getting ready for my second year of Volleyball tryouts my heart was pumping so fast in my chest I honestly thought I had been having a heart attack. Tomorrow was going to be the first day of tryouts and I was so excited yet nervous. Annika(my best friend) and I were practicing with our Volleyballs outside of her house. We were doing most of the drills we had remembered from the season before. After a couple of hours we decided we should stop before we pull a muscle or injury our bodies and rest up for tomorrow. My mother had cooked me up a grilled cheese sandwich with tomato soup, my absolute favorite meal ever, to get me ecstatic for tryouts and to settle my butterflies. Once I finished my delicious meal and proceed to get ready for bed, Annika and I called each other and talked for a while about what we were going to do tomorrow and how we hoped we would get on the team again. I quickly dozed off shortly after we hung up.

4 0

3 years ago

Please help me asap!!!

ololo11 [35]

G should be the correct answer

Hope this helps!

4 0

3 years ago

Read 2 more answers

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

GIVEN :-

First term of G.P. = 6
Forth term of G.P. = 384

TO FIND :-

Sum of first 10 terms of the G.P.

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

[NOTE :- $\frac{a(1-r^n)}{1-r}$ can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]