All categories

3 years ago

Perpendicular to y=1/2-1, x-intercept at4

Mathematics

2 answers:

AlexFokin [52]3 years ago

8 0

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo 1/2 would change into 2/1 which is 2 and we would addd the negative sign so

Y=-2x+4

LuckyWell [14K]3 years ago

5 0

Answer:

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line: m = -2.

Recall that at an x-intercept, y = 0. Here we're told that the x-intercept is (4, 0). Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

You might be interested in

Use substitution to slice this linear system 3x-2y=6 4y= -8

tatiyna

The answer to the question

8 0

2 years ago

Tim's phone service charges $24.25 plus an additional $0.18 for each text message sent per month. If Tim's phone bill was $28.75

valina [46]

24.25+ .18 = 28.78
hope this helps

8 0

2 years ago

You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of

qwelly [4]

The present value of an annuity is given by

$PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)$

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

$51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\ \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\ \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\ \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73$

Therefore, the monthly payment is $1,259.73

6 0

3 years ago

Read 2 more answers

Help ASAP please!!!!!!

AURORKA [14]

Answer:

$x5 {36}^{?65} \\$

8 0

3 years ago

Sara has $1.30 less than double what Billy does. Sara has $53.72. How much money does Billy have?

lilavasa [31]

Answer:

Billy has $27.51

Step-by-step explanation:

First let's set up an equation to solve this problem.

Assign a variable to Billy's amount. Let's make it x.

Then we just interpret the problem and solve:

2x - 1.30 = 53.72

+1.30 +1.30

----------------------------

2x = 55.02

(Divide by 2 on both sides)

----------------------------

x = $27.51

2x = Billy's amount doubled

2x - 1.30 = Taking away 1.30 from double Billy's amount

53.72 = Sara's amount

6 0

3 years ago