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coldgirl [10]
3 years ago
10

The product of a number and 8

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Answer:

8n

Step-by-step explanation:

The answer would be 8n because 8*n = 8n

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List the first 4 terms of the sequence 3n² + 1​
Ganezh [65]

Answer:

4, 13, 28, 49

Step-by-step explanation:

1st term = 3 × (1)² + 1 = 4

2nd term = 3 × (2)² + 1 = 13

3rd term = 3 × (3)² + 1 = 28

4th term = 3 × (4)² + 1 = 49

3 0
3 years ago
Read 2 more answers
For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
I need help on all 3
a_sh-v [17]

Answer:

i think answer for 3 is,

3x+1=100

3x=99

x=33°

6y-16+5y-2=180

11y-18=180

11y=198

y=18°

8 0
3 years ago
Adrian sells handmade puppets for $10 apiece. One puppet gets damaged, so Adrian sells it for $6, resulting in a loss of $4. He
Romashka [77]
It would be a loss of 4 dollars.
5 0
3 years ago
Read 2 more answers
Kindly i need solution of these both parts a and b which are attached below
Nikitich [7]

9514 1404 393

Answer:

  a) 252 cm³, 252 cm², 705.6 g

  b) 240 cm³, 252 cm², 672 g

Step-by-step explanation:

The volume of each figure can be computed as the product of the base area (the side facing the viewer) and the "height" of the prism (the distance between bases).

The surface area of the prism is the sum of the two base areas and the "lateral area" consisting of the product of the base perimeter and the "height" of the prism.

The mass will be the product of volume and density.

__

ai) The base is a 3 cm by 8 cm rectangle together with a trapezoid with bases 3 cm and 6 cm, and height 7 - 3 = 4 cm.

  B = (3 cm)(8 cm) +(1/2)(3 cm +6 cm)(4 cm) = 24 cm² +18 cm² = 42 cm²

The "height" is 6 cm, so the volume is ...

  V = Bh = (42 cm²)(6 cm) = 252 cm³

__

aii) The perimeter of the base is the sum of its side lengths. Clockwise from left, the lengths are ...

  (8 +3 +2 +5 +3 +7) cm = 28 cm

Then the lateral area is ...

  LA = Ph = (28 cm)(6 cm) = 168 cm²

Adding this to the areas of the two bases, we get the total surface area:

  A = LA +2B = (168 cm²) + 2(42 cm²) = 252 cm²

__

aiii) The mass is the product of volume and density:

  M = ρV = (2.8 g/cm³)(252 cm³) = 705.6 g

____

bi) This trapezoidal prism has a base that has bases of 6 and 9 cm, and a height of 4 cm. The area of the base is ...

  B = (1/2)(b1 +b2)h = (1/2)(6 cm + 9cm)(4 cm) = 30 cm²

Then the volume is ...

  V = Bh = (30 cm²)(8 cm) = 240 cm³

__

bii) The lateral area is the perimeter of the base times the height of the prism:

  LA = Ph = (4 +6 +5 +9 cm)(8 cm) = 192 cm²

The total area is this area plus that of the two bases:

  A = LA +2B = (192 cm²) +2(30 cm²) = 252 cm²

__

biii) M = ρV = (2.8 g/cm³)(240 cm³) = 672 g

3 0
3 years ago
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