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3 years ago

Please help!

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

Answer:

j = 3 * d

Step-by-step explanation:

the * means multiplication. Or you can write j=3d

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Can anyone please help me step by step on how to solve this problem?

Sholpan [36]

Answer:

see explanation

Step-by-step explanation:

The volume (V) of a cuboid is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

Equate the product of the dimensions to 374

2(x + 3)(x + 9) = 374 ( divide both sides by 2 )

(x + 3)(x + 9) = 187 ← expand factors on left side

x² + 12x + 27 = 187 ( subtract 187 from both sides )

x² + 12x - 160 = 0 ← in standard form

Factor by considering the factors of the constant term (- 160) which sum to give the coefficient of the x- term (+ 12)

The factors are + 20 and - 8, hence

(x + 20)(x - 8) = 0

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x - 8 = 0 ⇒ x = 8

solutions are x = - 20, x = 8

However x > 0 ⇒ x = 8 and

x + 3 = 8 + 3 = 11

x + 9 = 8 + 9 = 17

Dimensions are 2cm, 11 cm, 17 cm

6 0

3 years ago

Read 2 more answers

Solve the following quadratic by

Ainat [17]

Answer:

{x = -1 + √13 , x = -1 - √13}

Step-by-step explanation:

Completing the square:

f(x) = x² + 2x - 12

= x² + 2x + 1 - 1 - 12

= (x² + 2x + 1) - 1 - 12

= (x + 1)² - 13

Solving:

f(x) = 0

⇔ (x + 1)² - 13 = 0

⇔ (x + 1)² = 13

⇔ x + 1 = √13 or x + 1 = -√13

⇔ x = -1 + √13 or x = -1 - √13

4 0

2 years ago

The length of a rectangle is twice as long as the width. The area is 400 feet. Find the length and with of the rectangle.

stich3 [128]

Answer:

A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200= $W^{2}$ , $\sqrt{200\\$ = W, L=2( $\sqrt{200\\$ ) and W= $\sqrt{200\\$ , W=14.14 and L=28.28

Step-by-step explanation:

4 0

3 years ago

The axis of symmetry of a parabola is x=4.6. It crosses the x -axis at (0.6,0). What is the x -coordinate of the other point whe

valkas [14]

Keeping in mind that the vertex of a parabola is halfway between the x-intercepts, if a point is a 0.6, and the vertex is at 4.6, that's just 4 units over to the right, thus the other point will have to be 4 units further, check the picture below.

5 0

4 years ago

Notes on how to subtract/add with scientific notation

fomenos

Answer:

1)Take the smallest power common

2) simply the bracket

3) multiply with the power taken common

Example:

5×10⁶ - 4×10³

Smaller power is 3, so take 10³ common:

10³[(5×10²) - 4]

10³[500 - 4]

10³(496)

496×10³

4.96×10⁵

4 0

3 years ago