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2 years ago

Which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)

1 answer:

3 0

$\text{Use the distributive property:}\\\\a(b+c)=ab+ac$

$2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49$

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Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.

marishachu [46]

Answer:

$\huge\boxed{\sf d = 141\ feet}$

Step-by-step explanation:

Given Data:

Circumference = C = 443 ft

Required:

Diameter = d = ?

Formula:

d = C / π

Solution:

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

$\rule[225]{225}{2}$

Hope this helped!

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2 years ago

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Could someone help me with 2, 9, 10, 11, 12 13, and 14?

shutvik [7]

Answer:

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14. $337.5

Step-by-step explanation:

14. $270 x 0.25 = 67.5

270 + 67.5 = 337.5

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3 years ago

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Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 7x − 1). If the final answer is written in the form Ax2 + Bx + C, wha

Andrews [41]

Answer:

3x + 2x2 + 4 = 5

3x + 2x2 + 4 – 5 = 5 – 5

First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides.

3x + 2x2 – 1 = 0

2x2 + 3x – 1 = 0

Simplify, and write the terms with the exponent on the variable in descending order.

2x2

–

↓

ax2

a = 2, b = 3, c = −1

Now that the equation is in standard form, you can read the values of a, b, and c from the coefficients and constant. Note that since the constant 1 is subtracted, c must be negative.

Answer

2x2 + 3x – 1 = 0; a = 2, b = 3, c = −1

Step-by-step explanation:

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3 years ago

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Can someone please explain to me how to do this.

JulijaS [17]

Y = x² - 4x + 4
y = 2x - 4

Find intersection of L and C:
x² - 4x + 4 = 2x - 4
x² - 6x + 8 = 0
 (x - 2)(x - 4) = 0
x = 2 or x = 4

When x = 2 , y = 2(2) - 4 = 0
When x = 4, y = 2(4) - 4 = 4

Points of intersection = A(2, 0) and B(4, 4)

Find the length of AB:

 $
\text {Length of AB}= \sqrt{(4-0)^2 + (4-2)^2} = \sqrt{16 + 4} = \sqrt{20} = 4.47 \text{ units}$

Answer: 4.47 units

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3 years ago

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Step-by-step explanation:

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2 years ago