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3 years ago

Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

Step-by-step explanation:

Slope: $\frac{y_2-y_1}{x_2-x_1}$ when the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in A(8,3) and B(4,8)

$=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}$

Therefore, the slope of AB is $-\frac{5}{4}$ .

I hope this helps!

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16x^7 - 8x^3 / 4x^3

Sunny_sXe [5.5K]

Answer:

4x^4-2

Step-by-step explanation:

$\dfrac{16x^7-8x^3}{4x^3}= \\\\\\\dfrac{4x^3(4x^4-2)}{4x^3}= \\\\\\4x^4-2$

Hope this helps!

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3 years ago

Read 2 more answers

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that t

Ostrovityanka [42]

The right answer for the question that is being asked and shown above is that: "e.Events A and B are dependent because P(A|B) = P(A)." The probability that a sample contains protein, given that albumin is detected, is 1. The statement that is true is this events A and B are dependent because P(A|B) = P(A).

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3 years ago

3x - 3y = 9 for D = (0,3,8)

scoray [572]

Answer:

3(x-y)

Step-by-step explanation:

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3 years ago

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib. A tailor has 5 4/9 square y

Ludmilka [50]

Answer:

She can make 7 baby outfits.

Step-by-step explanation:

Given:

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib.

A tailor has 5 4/9 square yards of fabric.

Now, to find the outfits she can make.

So, we add to get the total fabric used for baby outfits hat and bib:

$\frac{2}{9} +\frac{5}{9}\ square\ yards.$

$=\frac{2+5}{9}\ square\ yards.$

$=\frac{7}{9}\ square\ yards.$

Total fabric used for outfit = $=\frac{7}{9}\ square\ yards.$

Total fabric tailor has = $5\frac{4}{9} =\frac{49}{9}\ square\ yards$

Now, to get the number of outfits from the fabric tailor has we divide by total fabric used for outfit:

Number of outfits = Total fabric tailor has ÷ Total fabric used for outfit.

$Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}$

Thus, on dividing we get:

$Number\ of\ outfits = 7\ outfits.$

Therefore, she can make 7 baby outfits.

6 0

3 years ago

Find the surface area of the figure using the net shown. The area of the figure is yd2

geniusboy [140]

Answer:

Surface area = 233 yards²

Step-by-step explanation:

The surface area of the figure below is the sum of the area of each faces. This means the total surface area of the figure.

The figure has 4 triangle and 1 rectangle. The surface area will be the sum of area of the rectangle and the area of the 4 triangles.

surface area = base area(rectangle) + 2(area of similar triangle) + 2(area of similar triangle)

Base area

area of the rectangle = length × breadth

area of the rectangle = 16 × 5 = 80 yards²

Area of the 2 similar triangle

area of triangle = 1/2 × base × height

area of triangle = 1/2 × 5 × 5

area of the triangle = 25/2 = 12.5

For the 2 similar triangle = 12.5 × 2 = 25 yard²

Area of the other 2 similar triangle

area of a triangle = 1/2 × base × height

area = 1/2 × 16 × 8 = 128/2 = 64 yards²

For the 2 similar triangle = 64 × 2 = 128 yards²

Surface area = 80 yards² + 25 yard²+ 128 yards² = 233 yards²

7 0

3 years ago