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elixir [45]
3 years ago
5

write an equation in slope-intercept form of the line whose y-intercept is -3 and the line is perpendicular line whose equation

is 3x-2y=9 what is the slope intercept form?
Mathematics
1 answer:
Artemon [7]3 years ago
8 0

first you need to find the slope of he current equation by changing it to y=mx+b

3x-2y=9  subtract 3x from both sides

-2y=-3x+9  divide both sides by -2

y+3/2x-9/2  Your slope of the existing is 3/2 or 1 1/2

a perpendicular line has the opposite reciprocal slope so 3/2 would be -2/3

-3 is your y intercept. now you can make your equation

y=-2/3x-3

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Which expression has a value of 16 when x=2
ELEN [110]

Answer:

Step-by-step explanation:

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2 years ago
Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
3 years ago
Solve for X<br><br> Thank youuu
maksim [4K]

Answer:

x= -4

Step-by-step explanation:

∠LMP + ∠PMN= 180° (adj. ∠s on a str. line)

-16x +13 -20x +23= 180

bring x term to 1 side, constant to the other:

-36x= 180 -13 -23

Simplify:

-36x= 144

x= 144 ÷ (-36)

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*The sum of the angles on a straight line is 180°

6 0
2 years ago
Help! I will give brainliest!
alekssr [168]

Answer:

B 24

Step-by-step explanation:

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2 years ago
To determine the density of grains, a student uses a 50ml beaker graded by 5ml increments and a scale with 1g absolute uncertain
labwork [276]

Answer:

The mass of the grains = 120 ± 1 g

Step-by-step explanation:

we are given the following:

Total mass of container + grains = 185 grams

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since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g

8 0
3 years ago
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