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Triss [41]
3 years ago
9

Find the slope of the line drawn below

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-2}{1-1} = \frac{-5}{0}

Since division by zero is undefined then the slope of the line is undefined

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Send help , 20 points !!<br> what is 1 and 2/9 minus 3 and 1/3
astraxan [27]

Answer:

-1 and 8/9

Step-by-step explanation:

3 0
3 years ago
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The length of a rectangle is 8 inches more than twice its width. The area of the rectangle is 120 square inches. How many inches
Irina-Kira [14]

Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20

7 0
3 years ago
A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for
Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

\implies h=\frac{1}{w^2}

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

= 2\times \frac{1}{w^2}(w+2w)

=\frac{6w}{w^2}

=\frac{6}{w}  

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}

=2w^2+4w^2+\frac{12}{w}

=6w^2+\frac{12}{w}

Differentiating with respect to w,

C'(w) = 12w -\frac{12}{w^2}

Again differentiating with respect to w,

C''(w) = 12 + \frac{24}{w^3}

For maxima or minima,

C'(w) = 0

\implies 12w -\frac{12}{w^2}=0

\implies 12w^3 - 12=0

w^3-1=0\implies w = 1

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0
3 years ago
Find the value of x.
GaryK [48]

Answer:

x = 25

Step-by-step explanation:

it's an isosceles triangle so base angles are the same

3x - 30 = 45

Add 30 on both sides

3x = 75

divide both sides by 3

x = 25

5 0
3 years ago
find the measure of the angle of the radius of the circle is 4 inches and the length of the arc is 8 pi.
NeTakaya
Since the angle is in radians, then s = rθ.

\bf \textit{arc's length}\\\\&#10;s=r\theta \quad &#10;\begin{cases}&#10;r=4\\&#10;s=8\pi &#10;\end{cases}\implies 8\pi =4\theta \implies \cfrac{8\pi }{4}=\theta \implies 2\pi =\theta
4 0
3 years ago
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