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3 years ago

9

Why DEF and STU are similar?

1 answer:

marshall27 [118]3 years ago

7 0

Answer:

<h3>They are similar because they both are in one page.</h3>

<h2>SMART.</h2>

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Question 2 please fas

Len [333]

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

${x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}$

5 0

4 years ago

What is -17= 3+k in math

pav-90 [236]

The answer is k= -20

4 0

3 years ago

Read 2 more answers

suppose a triangle has two sides of length 2 and 5 and that the angle.between these two sides is 60° what is the length of the t

andrew-mc [135]

B). Square root of 19

5 0

3 years ago

What is the area of quadrilateral WXYZ?

Nadya [2.5K]

Answer:

$Area = 105$

Step-by-step explanation:

Given

$W = (-5,4)$ ---- $(x_1,y_1)$

$X = (3,4)$ ------ $(x_2,y_2)$

$Y = (6,-6)$ ----- $(x_3,y_3)$

$Z = (-7,-6)$ ---- $(x_4,y_4)$

Required

Determine the area;

Area is calculated as thus:

$Area = \frac{1}{2}[(x_1.y_2 +x_2.y_3 + x_3.y_4 + x_4.y_1)-(x_2.y_1 +x_3.y_2 + x_4.y_3 + x_1.y_4)]$

Substitute values

$Area = \frac{1}{2}[(-5*4 +3*-6 + 6*-6 + -7*4)-(3*4 +6*4 + -7*-6 + -5*-6)]$

$Area = \frac{1}{2}[(-102)-(108)]$

$Area = \frac{1}{2}[-102-108]$

$Area = \frac{1}{2}[-210]$

$Area = -105$

$Area = 105$

None of the options answer the question:

7 0

3 years ago

A farmer has 1800 m of fencing. He needs to create

NeTakaya

Answer:

67,500 m²

Step-by-step explanation:

ASSUMING the fields look like this __________________

| | |

| | | W

|_________|_________|

L

Let L be the length of the combined field and W be the width

2L + 3W = 1800

2L = 1800 - 3W

L = 900 - 1.5W

A = LW

A = (900 - 1.5W)W

A = 900W - 1.5W²

Area will be maximized when the derivative equals zero.

dA/dW = 900 - 3W

0 = 900 - 3W

3W = 900

W = 300 m

L = 900 - 1.5(300)

L = 450 m

A = LW = 450(300) = 135,000 m²

so each sub field is 135000/2 = 67,500 m²

7 0

3 years ago