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3 years ago

Write the equation of the line in fully simplified slope-intercept form.

Mathematics

1 answer:

FrozenT [24]3 years ago

5 0

Step-by-step explanation:

y — yı = m(x – xı) equation of a line

Points A(1,3) and B(2,1)

Slope (m) = (y2 – y1) / (x2 – x1)

(1 –3) / (2 – 1)

–2/1

–2

Thus, y –3 = –2 (x – 1)

y – 3 = –2x + 2

y –3 + 3 = –2x + 2 + 3

y = –2x + 5

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Two numbers have a sum of 32. One number is 6 more than the other. Find the numbers

Vlad [161]

<h2>Answer: 13 & 19</h2>

<h3>Step-by-step explanation:</h3>

Let the bigger number be 'U' and the smaller number 't'.

Since the two numbers have a sum of 32, then U + t = 32.

& since one number is 6 more than the other, the U - 6 = t

⇒ U + U - 6 = 32

2U = 38

U = 19

By substituting fot the value of U we found,

19 - 6 = t

t = 13

<h3>∴ the numbers are 13 & 19.</h3>

5 0

3 years ago

Read 2 more answers

Solve the system of equations.

Alenkasestr [34]

Step-by-step explanation:

<u>Step 1: Substitute x from the second equation into the second one</u>

$2x - 9y = 14$

$2(-6y + 7) - 9y = 14$

$(2 * -6y) + (2 * 7) - 9y = 14$

$-12y + 14 - 9y = 14$

$-21y +14 - 14 = 14 - 14$

$-21y/-21 = 0 / -21$

$y = 0$

<u>Step 2: Substitute y into the second equation</u>

$x = -6y + 7$

$x = -6(0) + 7$

$x = 0 + 7$

$x = 7$

Answer: $x = 7, y = 0$

4 0

4 years ago

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Identity true statements about quadratic function y = ax^{2} +bx+c, where a =/= 0.

vesna_86 [32]

The true statements are (1) and (2)

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3 years ago

Write an equation to match this graph.

gladu [14]

Answer:

The first one isnt equivalent

Step-by-step explanation:

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Step-by-step explanation:

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