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Artemon [7]
3 years ago
15

Find the equation of the line (in slope-intercept form) through the points (1,-4) and with slope 5/2.

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0

Answer:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Equation of the line using point

( 1 , - 4) and slope 5/2 is

y + 4 =  \frac{5}{2} (x - 1) \\  \\ y + 4 =  \frac{5}{2} x -  \frac{5}{2}  \\  \\ y =  \frac{5}{2} x -  \frac{5}{2}  - 4 \\  \\  \\ y =  \frac{5}{2} x -  \frac{13}{2}

Hope this helps you

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Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
sineoko [7]

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

3 0
3 years ago
Read 2 more answers
What is the following product?
-Dominant- [34]

Answer:

98 - 40√6

Step-by-step explanation:

We have to simplify the following product :

(5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3}).

Now, (5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})

= (5\sqrt{2} - 4\sqrt{3})^{2}

= (5\sqrt{2})^{2} - 2 (5\sqrt{2}) (4\sqrt{3}) + (4\sqrt{3} )^{2}  

{Since we know the identity (a - b)² = a² - 2ab + b² }

= 50 - 40√6 + 48

= 98 - 40√6 (Answer)

6 0
3 years ago
Read 2 more answers
Find the base of a parallelogram with the area of 60 in.² and height of 4 inches use the formula for the area of the parallelogr
Alexxx [7]
A = bh
60 in.² = b(4)
60/4 = b
b = 15 inches

Hope this helped!
7 0
3 years ago
(7)8 - 6 divided by 2 + (A)3 = 107. What is A?
Hunter-Best [27]

\huge\fbox{Answer ☘}

7(8) - 6 \div 2 + (a)3 = 107 \\ 56 - 3 + 3a = 107 \\ 53 + 3a = 107 \\ 3a = 107 - 53 \\ 3a = 54 \\ a =  \cancel\frac{54}{3}  = 18

hope helpful~

7 0
3 years ago
You are throwing a party for your friend. The caterer charges $60 per person. Fifteen guests have been invited, but you are not
SVEN [57.7K]

Answer:

a.) write an equation to represent this situation

Step-by-step explanation:

4 0
3 years ago
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