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3 years ago

Write the standard form of line that passes through (1,5) and (-2,3)

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

Answer:

2/3x - y = -13/3

Step-by-step explanation:

Step 1: Find slope m

m = (3 - 5)/(-2 - 1)

m = -2/-3

m = 2/3

y = 2/3x + b

Step 2: Find b

5 = 2/3(1) + b

5 = 2/3 + b

b = 13/3

Step 3: Write equation in slope-intercept form

y = 2/3x + 13/3

Step 4: Move 2/3x over

-2/3x + y = 13/3

Step 5: Factor out -1

-1(2/3x - y) = 13/3

Step 6: Divide both sides by -1

2/3x - y = -13/3

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Use a inequality symbol to compare -3x+7 -10-2

abruzzese [7]

Hey there,

Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).

So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)

Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7).

-3
+ 7
______
4

Let's bring that "x" back, and the answer would be 4x for a while.

So far, 4x is the answer.
_____________________________________________________________

Now, Let's work on the other side.

We are talking about (-10-2)

-10
- 2
_______
 -12

So, by solving the answer to (-10-2), we got -12.

So, let's determine what is greater . . . . .

$What \ is \ greater?$

-12 or 4.

-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.

Your correct answer would look like . . .

(-3x+7) > (-10-2)

I really hope this helps you alot.

~Jurgen

8 0

3 years ago

Read 2 more answers

Carol estimates that she has a 4/5 probability of gaining a grade 4 in her exam and a 1/10 chance of a grade 3 to 1. If her esti

Nesterboy [21]

Answer:

yuyu

Step-by-step explanation:

6 0

3 years ago

Plz help me with this questions and show working out thanks

Paraphin [41]

Answer: The steps and answers to the first two are below but you need to understand slope = change in y / change in x = y2 - y1/ x2 - x1

And you need to understand y = mx + c

m= slope c is y intercept

Substitute either point given - only use one as the x and y and find c

Step-by-step explanation:

1. You need to follow the steps -

the point is given as (2,5) = (x,y)

So what this means is x =2 and y =5

Simple substitutions is the step 5 = 3 x 2 + c

5 = 6 + c or easier to see is c + 6 =5

subtract 6 from both sides c + 6 = 5

-6 -6

__________________

c = -1

x1,y1 x2,y2

( 3,2) and (5,6) are two points on the line

you already calculate the slope which is m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2

Remember y= mx + c

y = 2 x + c

now substitute in (3,2) which is (x1, y1) into the x and y in your equation

2 = 2 (3) + c

2 = 6 + c

subtract 6 from both sides

-4 = c

Now you should use this and do your last question yourself

5 0

2 years ago

Lexi asked 325 students which fruit they preferred, bananas or pineapples. 200 students said they preferred pineapples. What per

Serjik [45]

Answer:

38.46%

Step-by-step explanation:

Given,

The total number of students = 325

The number of students preferred pineapples = 200

Therefore, The number of students preferred bananas = (325 - 200) = 125

Among 325 students, banana is preferred 125 students

Among 1 student, banana is preferred 125/325 students

Among 100 students, banana is preferred (125*100)/325 students

= 500/13

= 38.46% (2 decimal places)

5 0

3 years ago

Triangle ABC is shown below.

inna [77]

Answer:

the answer is 14 C

Step-by-step explanation:

just took the test?

3 0

3 years ago