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Paul [167]
3 years ago
7

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin

t (–12, 10)?
a.y = x – 6
b.y = x + 6
c.y = x + 26
d.y = x + 10
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0
Y= 3/4x - 2   (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
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Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please
Aleksandr-060686 [28]
This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).

So far that’s (2x-5) + g(x)

Then,

Do the same with equation given for g(x) which is now,

(2x-5) + (3x+1)

Then solve,

2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4

Therefore the answer is 5x - 4.
8 0
3 years ago
HELPELEPLEPELP this needed to be done last week LSMOAJOMOSN
denpristay [2]

Answer:

1/1

Step-by-step explanation:

try that if that doesnt work try 1 the question was confusing im sorry if its wrong...

3 0
2 years ago
The area of a circle is 132.7 square cm. Find the diameter.
hram777 [196]

13 cm (approximately)

Step-by-step explanation:

Let the radius of the circle be 'r'.

Area of the circle = πr²

=> 132.7 = (22/7) r²

=> 6.5 ≈ r

Therefore, diameter = 2radius = 2(6.5) = 13 cm

6 0
2 years ago
A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug,
Helen [10]

9514 1404 393

Answer:

  • 459 mg
  • about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

  r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

__

a) After 4 hours, the amount remaining is ...

  r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

__

b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

  r(t) < 5

  1450·0.75^t < 5 . . . . use the function definition

  0.75^t < 5/1450 . . . . divide by 1450

  t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

  t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

  t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

7 0
2 years ago
Joe is 3 times as old as Pepe In how many years will Joe be only twice as old as Pepe ? How old are they now? How old will they
antoniya [11.8K]
Let x = Wally's age now

Then, 3x = Jose's age now

Wally's age 5 years from now = x+5

Jose's age 5 years from now = 3x+5

(x+5) + (3x+5) = 42

4x + 10 = 42

4x = 32 x = 8

Wally is 8 years old and Jose is 24.
5 0
2 years ago
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