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3 years ago

Factor a2 - 11a + 30

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

D) is the answer c) is incorrect because a5 + a6 is not -11a

Schach [20]3 years ago

3 0

Answer:

Factor a2 - 11a + 30

A) (6 - a)(5 - a)

B) (a + 2)(a + 15)

D) (a - 6)(a -5)

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The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl

True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9 + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0 5a +3 = 0

a = 5 5a = -3

a=5 a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0

3 years ago

Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 3636

Nostrana [21]

Answer: the cost of one chicken is $8

The cost of one duck is $5

Step-by-step explanation:

Let x represent the cost of one chicken.

Let y represent the cost of one duck.

Last month, he sold 50 chickens and 30 ducks for $550. It means that

50x + 30y = 550- - - - - - - - - - - 1

This month, he sold 44 chickens and 36 ducks for $532. It means that

44x + 36y = 532- - - - - - - - - - - 2

Multiplying equation 1 by 44 and equation 2 by 50, it becomes

2200x + 1320y = 24200

2200x + 1800y = 26600

Subtracting, it becomes

- 480y = - 2400

y = - 2400/- 480

y = 5

Substituting y = 5 Intl equation 1, it becomes

50x + 30 × 5 = 550

50x + 150 = 550

50x = 550 - 150

50x = 400

x = 400/50

x = 8

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3 years ago

Read 2 more answers

Write an exponential function to model the following situation

Dominik [7]

Answer:

$y = 140000(1.04)^{x}$ ; 262 000

Step-by-step explanation:

The general formula for an exponential function is

$y = a(b)^{x}$

a = 140 000; b = 1.04; x = 16

$y = 140000(1.04)^{x}$

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

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The graph below shows the population growth over time.

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ira [324]

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

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