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Aliun [14]
3 years ago
15

Write he standard form of the equation; Through: (-1,5) and (1,2)

Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0
Standard form is ax+by=c where a,b, and c are integers and a is usually positive

so
first find slope
get into form y=mx+b where m is slope
so
slope between points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
points (-1,5) and (1,2)
slope is (2-5)/(1-(-1))=-3/(1+1)=-3/2
y=-3/2x+b
find b
sub a point
(1,2)
2=-3/2(1)+b
2=-3/2+b
4/2=-3/2+b
7/2=b

y=-3/2x+7/2
add 3/2 both sides
3/2x+y=7/2
times 2 both sides
3x+2y=7 is standard form
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Determine whether each event is possible or impossible on a 6-sided cube where the numbers are 1 through 6.
tankabanditka [31]

Answer:

Step-by-step explanation:

Possible:

Rolling a 1

Rolling a number less than 7

Rolling an even number

Impossible:

Rolling a number greater than 10

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4 0
2 years ago
Match each irrational number line on which it is represented 2.18112... 2.1823912 2.364125 2.1829391321
sergij07 [2.7K]

Answer:

See Explanation

Step-by-step explanation:

The number lines to make selection from are missing from the question.

<em>However, I've attached 4 number lines, each of which represents each of the given irrational numbers (see attachment)</em>

<em></em>

<u>Number: 2.1823912</u>

This is represented by number line 1

Each point of number line 3 is 0.001 units starting from 2.18;

The point which the red dot is located is between 2.182 and 2.183, but the dot is closer to 2.182.

<em>2.1823912 and 2.1829391321 satisfy this property but number line 2 represents 2.1829391321 (see below for explanation)</em>

So: 2.1823912 is represented by number line 1

<u></u>

<u>Number: 2.1829391321</u>

This is represented by number line 2.

Each point of number line 3 is 0.0001 units starting from 2.182;

The point which the red dot is located is between 2.1829 and 2.1830, but the dot is closer to 2.1829.

From the list of given numbers, only 2.1829391321 satisfy this property.

<em />

<u>Number: 2.18112...</u>

This is represented by number line 3.

Each point of number line 3 is 0.01 units starting from 2.11;

The point which the red dot is located is between 2.18 and 2.19.

If number lines 1 and 2 represent 2.1823912 and 2.1829391321, respectively, then number line 3 represents 2.18112.

<u></u>

<u>Number: 2.364125 </u>

This is represented by number line 4.

Each point on this number line is 0.1 unit starting from 2.0;

The point which the red dot is located is between 2.30 and 2.40. From the list of given numbers, only 2.364125  satisfy this property.

7 0
3 years ago
Suppose you and a friend form a band. You want to record a demo. Sony Studios rents for $150 plus $20 an hour. Capitol Studios r
IRISSAK [1]

Answer:

200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have.

225 + 80x is the amount that Jenna has to pay given x number of hours.

550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

Step-by-step explanation:

225 + 80x < 550

80x < 550 -225

80x < 325

80x / 80 < 325/80

x < 4.06 or 4 hours

225 + 80x → 225 + 80(4) = 225 + 320 = 545

The number of hours for the sound technician will range from 1 hour to 4 hours.

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705

705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.

this might be wrong but, i hope it helps

4 0
3 years ago
Read 2 more answers
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vampirchik [111]

Answer:3. B 4. B

Step-by-step explanation:3. Supplementary equals 180, 113 + 67 = 180

4 0
3 years ago
20 - k/15 = 17 What is k?
tester [92]
20 - k/15 = 17
20 - 17 = k/15
     3 = k/15
       k = 45
6 0
3 years ago
Read 2 more answers
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