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trasher [3.6K]
2 years ago
5

If 3x − (7 − x) = 29, find the value of 6x.

Mathematics
1 answer:
Stells [14]2 years ago
7 0

Answer:

54

Step-by-step explanation:

3x -(7-x) = 29       remove the parens

3x - 7 + x = 29     simplify

4x -7 = 29            add 7 to both sides of the equation

4x = 36            divide by

x = 9

then 6x = 6 * 9 = 54

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The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Whic
denis23 [38]

The true statement is the circle has the radius equal to 7.

<h3>What is Equation of circle?</h3>

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

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3 0
2 years ago
14. Charlotte bought a 14 pound bag of ice. By
Semenov [28]

Answer: 12.6

Step-by-step explanation: because it’s the right answer

3 0
3 years ago
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Find the perimeter of this semi-circle with diameter, d = 52cm.
Ede4ka [16]

Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

3 0
3 years ago
Solve: sin2x cosx + cos 2x sin x = √3/2 for 0
artcher [175]

Answer:

x=\frac{\pi }{9}+\frac{2k\pi }{3}  ,\frac{2\pi }{9}+\frac{2k\pi }{3}

5 0
3 years ago
Gr
sweet-ann [11.9K]

Answer:

The correct option is;

The situation shows correlation without causation

Step-by-step explanation:

The given data are;

Weight y     {}            Miles Per Gallon

42     {}                           18

36     {}                           12

30     {}                            6

.     {}                                x

24     {}                            0

The first difference of the data = 42 - 36 = 36  - 30 = 30 - 24 = 6

18 - 12 = 12 - 6 = 6 - 0 = 6

The first difference of the data is constant and equal to 6

Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;

The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;

(42 - 24)/(18 - 0) = 1

Therefore, the points of the data fit into the straight line and the data of the situation shows correlation

In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.

3 0
3 years ago
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