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Allisa [31]
2 years ago
8

Dave builds sheds. The widths of the doorways for the sheds vary with the area of the shed. One of Dave's sheds has an area of 2

4 square feet and a doorway that is 2 feet wide. Another one of Dave's sheds has an area of 48 square feet and a doorway that is 4 feet wide. What is the pattern rule that Dave uses for the widths of the shed doorways?
Mathematics
1 answer:
Dovator [93]2 years ago
7 0

Answer:

The widths of the shed doorways follow the pattern of multiplying by two. For example, 2 x 2 = 4.

Step-by-step explanation:

24 x 2 = 48

2 x 2 = 4

The sheds double in width and area.

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At 2:00 p.m. two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other
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Let’s call the speed of the slower car S, then the speed of the other is S+10mph.
At 5pm they have been travelling for 3 hours. The slower car travels a distance 3S and the faster one 3(S+10).
But the two distances must add up to 240 miles so 3S+3(S+10)=240, 3S+3S+30=240, 6S=210, S=35 mph. The faster car’s speed is 45mph. We can see that 3S is the same distance as 3x, so x=S=35 mph, and the distance the faster car travels is 3×45=135 miles.
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What is the slope of the line that passes through the points (3, -2) and (9, -2)?
ICE Princess25 [194]

m=(-2+2)/(9-6)=0/3=0

m=0

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3 years ago
What is the slope of the line passing through the points (−3, −5) and (−1, −6)?
Virty [35]

Answer:

The slope of the line passing through the points (−3, −5) and (−1, −6) is -\frac{ 1 }{ 2 } (-0.5)

Step-by-step explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{ (-6) - (-5) }{ (-1) - (-3) }

m = \frac{ -6 + 5 }{ -1 + 3 }

m = -\frac{ 1 }{ 2 }

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5

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Answer:

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3 years ago
Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.
erica [24]

The missing value of the ordered triple for questions 7,8,9 and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

7) (4, ,0)

Substitute the values in the equation;

⇒x+2y-3z = 8,

⇒4+2y-3(0) = 8

⇒2y=8-4

⇒2y=4,

⇒y=4/2

⇒y=2

8) (, -2, -2)

Substitute the values in the equation;

   

x+2(-2) -3(-2)= 8

x-4+6 =8

x= 8-6+4

x=8-6+4

x=6

9)(2, 3, )

Substitute the values in the equation;

⇒2+2(3)-3z = 8

⇒8-3z = 8

⇒-3z = 0

⇒z = 0/-3

⇒z= 0

10) (-3, -2, )

Substitute the values in the equation;

   

⇒-3+2(-2) -3z = 8

⇒-7 -3z = 8

⇒-3z = 15

⇒z = 15/-3

⇒z = -5

Hence, the missing value of the ordered triple for questions  7,8,9, and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

4 0
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