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lorasvet [3.4K]
3 years ago
8

Expand and simplify 2(5x+4)+3(2x-1)

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

2(5x+4)+3(2x-1)

Use the distributive property for both sets of parenthesis:

2(5x+4) = 2*5x + 2*4 = 10x+8

3(2x-1) = 3*2x - 3*1 = 6x-3

Now you have:

10x+8 + 6x-3

Now combine like terms:

10x + 6x = 16x

8-3 = 5

The final answer is 16x+5

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identify and equation in point-slope form for the line perpendicular to y=-1/2x-7 that passes through (-3,-2)
bazaltina [42]

Answer:

  y +2 = 2(x +3)

Step-by-step explanation:

The equation in point-slope form for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The slope of your given line is the coefficient of x, -1/2. The slope of a perpendicular line will be the negative reciprocal of that: -1/(-1/2) = 2. So, you have m = 2, (h, k) = (-3, -2), and your desired equation is ...

  y -(-2) = 2(x -(-3)) . . . . . . which can be simplified to ...

  y +2 = 2(x +3)

8 0
3 years ago
The circumference of a circle is 32 cm. Which is the closest to the radius?
vitfil [10]
I believe the answer the answer is 5.1 b
5 0
3 years ago
Anyone help please I need it
andreev551 [17]

Answer:

-10+i\sqrt{2}

Step-by-step explanation:

One is given the following expression:

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (\sqrt{}) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (\sqrt{-1}=i). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

Take factors from out of under the radical:

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

2-7i\sqrt{2}-12+8i\sqrt{2}

Simplify,

-10+i\sqrt{2}

8 0
2 years ago
What is 585.30 rounded to the nearest whole number please HURRY
Bogdan [553]
If the first number behind the decimal point is lower than five, you leave the digits in front of the decimal the same. If it is equal to or above five, then the number in front of the decimal is rounded up. In this case it would stay the same, so your answer would be 585.
8 0
3 years ago
Read 2 more answers
Double the product of 4y and 3b if y=2 and b=1.
Aleksandr-060686 [28]

Answer:

48

Step-by-step explanation:

Double the product of 4y and 3b

2 * ((4y) * (3b))

y = 2 and b = 1

2 * ((4 * 2) * (3 * 1))

2 * (8 * 3)

2 * 24

48

3 0
3 years ago
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