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3 years ago

Pls help math question

Mathematics

2 answers:

enot [183]3 years ago

6 0

Answer: The correct answer is A. Just took the test.

Step-by-step explanation:

Screenshot:

garik1379 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

did you get the answer

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I need help with these quadratic applications.

Kitty [74]

Answer:

1. d

2. c

Step-by-step explanation:

1. "You have a 12in by 14in picture you framed. When you hung the picture, you found that the area is 261.44 square inches. What is the width of the frame?"

If we call the width of the frame x, then the total width is w = 12 + 2x, and the total height is 14 + 2x. Area is width times height, so:

A = wh

261.44 = (12 + 2x) (14 + 2x)

Distribute using FOIL (first outer inner last):

261.44 = 12×14 + 12×2x + 2x×14 + 2x×2x

261.44 = 168 + 24x + 28x + 4x²

261.44 = 168 + 52x + 4x²

0 = 4x² + 52x − 93.44

0 = x² + 13x − 23.36

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -13 ± √(169 + 93.44) ] / 2

x = (-13 ± 16.2) / 2

x = 1.6 or -14.6

Since x must be positive, x = 1.6 inches.

2. "A flower garden has been design with an L shaped walkway and viewing area around two sides as shown. The garden itself is 5 yards by 8 yards. The total area needed to build this landscape design is 60.9525 square yards. What is the width of the walkway?"

If we call the width of the walkway x, then the total width is w = 5 + x and the total length is l = 8 + x. Area is width times length, so:

A = wl

60.9525 = (5 + x) (8 + x)

Distribute using FOIL (first outer inner last):

60.9525 = 5×8 + 5×x + x×8 + x×x

60.9525 = 40 + 5x + 8x + x²

60.9525 = 40 + 13x + x²

0 = x² + 13x − 20.9525

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -13 ± √(169 + 83.81) ] / 2

x = (-13 ± 15.9) / 2

x = 1.45 or -14.45

Since x must be positive, x = 1.45 yards.

6 0

3 years ago

Read 2 more answers

42 = -7 (z - 3) z = ?

liubo4ka [24]

Answer:

The answer to your question is z = -3

Step-by-step explanation:

Expand 42 = -7(z - 3)

42 = -7z + 21

Simplify 7z = -42 + 21

7z = -21

Clear z z = $\frac{-21}{7}$

z = -3

3 0

2 years ago

Read 2 more answers

What is the value of x in the inequality start fraction seven minus two x over negative four end fraction plus two less than neg

algol13

Answer:

$x$

Step-by-step explanation:

$\frac{7-2x}{-4} +2$

Subtract 2 from both sides

$\frac{7-2x}{-4}$

mutliply both sides by -4, flip the inequality

$7-2x >4x+8$

Add 2x on both sideds

$7>6x+8$

Subtract 8 from both sides

$-1>6x$

Divide both sides by 6

$x$

3 0

3 years ago

Show work and find the value of the area of the circle with a 10 cm diameter.

Akimi4 [234]

Answer:

A = 78.54cm²

Step-by-step explanation:

A = π r²

D = 2r

A = $\frac{1}{4}$ π × d² = $\frac{1}{4}$ × π × 10² = 78.53982cm² = 78.54cm²

I hope this helps. : )

5 0

3 years ago

What is BC ? Enter your answer in the box. units?

White raven [17]

Answer:

The length of the BC is 25 units .

Step-by-step explanation:

As shown in the diagram

In ΔABC

∠B = ∠C (As given)

(If the angles are equal than their opposite sides are also equal .)

Thus

AB = BC

As given

AB = 4x + 4

AC = 6x - 14

Thus

4x + 4 = 6x - 14

6x - 4x = 14 + 4

2x = 18

$x = \frac{18}{2}$

x = 9

Put in the

BC = 2x + 7

= 2 × 9 + 7

= 18 + 7

= 25 units

Therefore the length of the BC is 25 units .

3 0

3 years ago