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swat32
3 years ago
6

Write the slope of the line (–12, -6) and (8, 9). m=4/3 m=-3/4 m=-4/3 m=3/4

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

m=3/4

Step-by-step explanation:

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Write the equation for a line that is perpendicular to the line 8x-4y=12 and passes through the orgin
Delicious77 [7]

Answer:

y = - \frac{1}{2} x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 4y = 12 into this form

Subtract 4x from both sides

- 4y = - 8x + 12 ( divide all terms by - 4 )

y = 2x - 3 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}

Since the line passes through the origin then c = 0

y = - \frac{1}{2} x ← equation of perpendicular line

5 0
3 years ago
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o
Anna11 [10]
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height 
volume=48 ft</span>³
<span>height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
</span>the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft<span>
 </span>

4 0
3 years ago
Change to a decimal. Round to hundredths if necessary.<br> 4 5/8
stepan [7]

Answer: The answer is 4.63✨

Step-by-step explanation: You have to round to 4.625 to the nearest hundredth consider the thousandths’ value of 4.625, which is 5 and equal or more than 5. Therefore, the hundredths value of 4.625 increases by 1 to 3.

4.625 rounded to the nearest hundredth = 4.63

5 0
2 years ago
CAN YOU HELP ME PLEASE
ahrayia [7]

Answer:

3.05 yards

Step-by-step explanation:

Arc length= 2π(r)(Θ/360)

given: 7 yards is diameter, 50 degrees

radius= diameter/2 = 3.5

plug in

2π(3.5)(50/360) = 3.05 yards

8 0
3 years ago
Maria's family drove 140 mi to her grandparents' house and averaged 56 ​ mi/h ​ on the way there. On the return trip, they avera
GaryK [48]

Answer: 5.3 Hours


Step-by-step explanation: 140 mi there at 56 mi per hour would be 2.5 hours. Then back 140 mi at 50 mi/h would be 2.8. 2.5 plus a 2.8 is 5.3 hours


4 0
3 years ago
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