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3 years ago

What is the slope-intercept form of the linear equation x + 4y = 12?

Mathematics

1 answer:

rosijanka [135]3 years ago

5 0

Answer:

y=-1/4x+3

Step-by-step explanation:

To get to slope intercept form (y=mx+b), you have to isolate y. First, you subtract x from both sides to get 4y=-x+12. You then have to divide both sides by 4 to finish isolating y. There is an implied 1 in front of x, so you divide 1 by 4 to get the slope (1/4). You also divide 12 by 4 to get 3. Ultimately (and don't forget the negative sign in front of the slope, from subtracting x earlier), you end up with y=-1/4x+3. Hope this helped!

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When a grizzly bear hibernates, it's heart rate drops to 10 beats per minute. Which is 20% of it's normal value What is a grizzl

Alex Ar [27]

Answer:

50 beats per minute

Step-by-step explanation:

10 bpm = 0.20 × (normal heart rate) . . . . . . . . . . . . 10 bpm is 20% of normal

(10 bpm)/0.20 = (normal heart rate) = 50 bpm . . . . . divide by the coefficient of the variable

The bear's normal heart rate is 50 beats per minute.

6 0

4 years ago

Which two integers is square root 44 between?

11111nata11111 [884]

Answer:6 and 7

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after t

BartSMP [9]

Answer:

238

Step-by-step explanation:

340 times 0.7 is 238

3 0

3 years ago

Read 2 more answers

Oliver has a box of toy cars, but he is not sure how many he has. If he arranges the cars in groups of four, he has three left o

Zarrin [17]

X/4 = r3 or 3/4
x/3 = r2 or 2/3
x/5 = r3 or 3/5

we know x is not divisible by 4 3 or 5 and is less than 30.

we know the value ends in 3 or 8 from x/5 = r3

we know the value is greater than 3 from r3

so far we got 13 and 23

13 is eliminated from x/4 = r3 because it is r1 not r3

so the answer is 23

7 0

3 years ago

Find the exact length of the third side. 51

Nesterboy [21]

Answer:

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

$a^{2} + b^{2} = c^{2}$

The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:

$45^{2} + b^{2} = 51^{2}$

2025 + $b^{2}$ = 2601

Subtract 2025 from both sides:

2025 + $b^{2}$ = 2601

-2025 -2025

_____________

$b^{2}$ = 576

Square root:

$\sqrt{b^{2} } = \sqrt{576}$

b = 24

7 0

4 years ago