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julsineya [31]
2 years ago
5

Simplify the following expression. ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b)

Mathematics
2 answers:
mihalych1998 [28]2 years ago
7 0

Answer:

11a − 29b − 50

Step-by-step explanation:

Subtract 7 from − 3

7a − 21b − 10 − 40 + 4a − 8b

Add 7a and 4a

11a - 21b - 10 - 40 - 8b

Subtract 8b from -21b

11a - 29b - 10 - 40

Subtract 40 from -10

11a - 29b - 50

zavuch27 [327]2 years ago
5 0

Answer:

11a - 29b - 50

Explanation:

⇒ ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b)

distribute inside parenthesis

⇒ -3 + 7a - 21b - 7 - 40 + 4a - 8b

collect like terms

⇒ 7a + 4a - 21b - 8b - 3 - 7 - 40

add or subtract like terms

⇒ 11a - 29b - 50

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almond37 [142]

The circle of the given radius with equation (x-7)²+(y-10)²=4 is 2 units.

<h3>What do we mean by circles?</h3>

A circle is, in the simplest terms, a circular shape without edges or lines.

Its geometric form is that of a closed curve.

If you track a moving point in a plane while keeping a fixed distance from another point, a circle will have a closed shape.

The English word "circle" derives from the Greek word "kirks," which means "hoop" or "ring."

So, the equation for a circle in its standard form is:

(x - h)² + (y - k)² = r²

Where the radius is r and the centroid is (h, k).

The equation is: (x - 7)² + (y - 10)² = 4

This is rewritten as:

(x - 7)² + (y - 10)² = 2²

When compared to the typical form:

(h, k) = (7, 10)

The circle's radius is 2.

Therefore, the circle of the given radius with equation (x-7)²+(y-10)²=4 is 2 units.

Know more about circles here:

brainly.com/question/24375372

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Correct question:
What is the radius of a circle whose equation is (x-7)²+(y-10)²=4?

8 0
1 year ago
Function for g whose graph is similar to f(x)=3x^2 shifted right 6 units and upward 5 units
vladimir2022 [97]

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8 0
2 years ago
Help please asap algebra 2
timurjin [86]
X = approximately 633

Steps:
lnx + ln3x = 14

ln3x^2 = 14 : Use the log property of addition which is to multiply same log                           together so you multiply x and 3x because they have log in                                common

  (ln3x^2) =  (14)  : take base of e on both sides to get rid of the log
e                e

3x^2 = e^14  : e cancels out log on the left side and the right side is e^14 

x^2 = e^14 / 3 : divide both sides by 3

√x^2 = <span>√(e^14 / 3) : take square root on both sides to get rid of the square 2                                  on x
</span>
x = √(e^14) / <span>√3 : square root cancels out square 2 leaving x by itself

x = e^7 / </span>√3 : simplify the √(e^14) so 14 (e^14) divide by 2 (square root) = 7<span>

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4 0
2 years ago
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svp [43]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe
djyliett [7]

Answer: 231

<u>Explanation:</u>

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   5x          6x

5x - 21 = (\frac{2}{3})6x

5x - 21 = 4x

<u>-4x +21</u>   <u>-4x +21 </u>

  x        =        21


Liwen: 5x   = 5(21)   = 105

Celina: 6x   = 6(21)   =<u> 126</u>

                       Total:   231                    

6 0
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