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DanielleElmas [232]
3 years ago
8

What is the equation in standard form of

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

3x-10y=-41

Step-by-step explanation:

"standard form of the line" is ax+by=c, where a, b, and c are free coefficients

first, we need to find the slope (m) of the line

that is calculated with the formula (y2-y1)/(x2-x1)

we have the points (3,5) and (-7,2)

label the points:

x1=3

y1=5

x2=-7

y2=2

substitute into the equation

m=(2-5)/(-7-3)

m=-3/-10

m=3/10

the slope is 3/10

before we put a line into standard form, we need to put it into another form first-- like slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

we already know the slope

here's our line so far:

y=3/10x+b

we need to find b; since the line will pass through the points (3,5) and (-7,2) we can use either one of them to find b

let's use (3,5) as an example. Substitute into the equation

5=3/10(3)+b

5=9/10+b

41/10=b

b is 41/10

this is the equation:

y=3/10x+41/10

now we can find the equation in standard form. Subtract 3/10x from both sides

-3/10x+y=41/10

a (the number in front of x cannot be negative OR less than one. First, let's multiply both sides by -1)

3/10x-y=-41/10

multiply both sides by 10 to clear the fraction

3x-10y=-41

^^ is the equation

hope this helps!

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andreyandreev [35.5K]

Answer:

\displaystyle \frac{x + 7}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 + 12x + 35}{3x + 15}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                          \displaystyle \frac{(x + 5)(x + 7)}{3x + 15}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{x + 7}{3}
4 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST!!!!!!!!
Nimfa-mama [501]
C is the best one I'm pretty sure it makes the most sense
5 0
3 years ago
Read 2 more answers
In care cadrane se afla graficul functiei ; f:(x)=121x
iragen [17]
<span>Solución X = {0, 121}
</span><span>espero que esto ayude</span>
8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
MAXImum [283]

The last option is the answer. You can double check by substituting the -3 for the x values and the 17 for y values and the statements would be true.

4 0
3 years ago
Please answer CORRECTLY if so I’ll mark you brainlist!
eduard

Answer:

The answer to your question is 26.75

Step-by-step explanation:

Top triangle = 3.5 x 9 = 31.5. Since it is a triangle, it has to be split in half (15.75).

Bottom left triangle = 2 x 2 = 4. Since this is also a triangle: 4 split in half is 2.

Bottom square = 2 x 2 = 4.

Bottom right triangle = 5 x 2 = 10. Since it is a triangle, 10 / 2 = 5.

After you get the area of each individual shape, add them together to get 26.75.

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6 0
3 years ago
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