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3 years ago

What is the slope-intercept equation of the line below? (2,3) (0,-5)

Mathematics

1 answer:

Arada [10]3 years ago

6 0

Answer:

y = 4x - 5

Step-by-step explanation:

plug the coordinates into the equation: y = mx + b

3 = 2m + b

-) -5 = 0m + b

___________

8 = 2m => m = 4

substitute 4 into either of the equation 3 = 2m + b or -5 = 0m + b to solve for b

=> 3 = 2(4) + b

=> b = -5

plug m = 4 & b = -5 into the slope-intercept equation: y = mx + b

=> y = 4x - 5

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16) 1420 2x A) 67 C) 68 B) 71 D) 73 What is the value of x???

larisa [96]

Answer:

x = 710

Step-by-step explanation:

1. Divide both sides by 2 to get x by itself

1420 = 2x

↓

1420 ÷ 2 = 2x ÷ 2

↓

710 = x

2. Switch sides

710 = x

↓

x = 710

I know it is not one of your options but that is the answer to 1420 = 2x

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3 years ago

Find x+y. please help !!

Talja [164]

Answer:

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Step-by-step explanation:

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3 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

4 years ago

Recipe 1/2 lemonade 1 1/2 iced tea. If 16 cups made how any cups of lemonade and iced tea

larisa86 [58]

Answer:

8 lemonade and 24 iced tea

Step-by-step explanation:

1/2=0.5

0.5x16=8 lemonade

1 1/2=3/2=1.5

1.5x16=24 iced tea

6 0

3 years ago

HELP me this Solve please

Arlecino [84]

Answer:

Cannot solve fir x because traingles are not similar

Step-by-step explanation:

11+8+12=15+10+x

31=25+x

X=31-25

X=6

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3 years ago