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Lubov Fominskaja [6]
3 years ago
10

2(4 plus 2x) > 5x plus 5

Mathematics
2 answers:
egoroff_w [7]3 years ago
4 0

Answer:

x ≤3

Step-by-step explanation:

blondinia [14]3 years ago
3 0

Answer:

x ≤3

Step-by-step explanation:

2(4+ 2x)≥ 5x+ 5

distribute

8+4x ≥ 5x+ 5

Subtract 4x from each side

8+4x-4x≥ 5x-4x+ 5

8  ≥ x+ 5

Subtract 5 from each side

8-5 ≥ x+ 5-5

3 ≥ x

x ≤3

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Find the slope and the y-intercept of the graph of y=11+1.5x.
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The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number s
patriot [66]

Answer:

96

Step-by-step explanation:

commom difference = d

a₆ + a₇ = 16

a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16

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Similarly,

a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16

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6 0
2 years ago
Find the equation of a circle with a center at (–7, –1) where a point on the circle is (–4, 3).
gogolik [260]

Answer:

(x + 7)^2 + (y + 1)^2 = 25.

Step-by-step explanation:

The center of a circle is easy to set up. According to the formula below, the formula for the circle will be (x - a)^2 + (y - b)^2 = r^2.

In this case, a = -7 and b = -1, so we have...

(x - (-7))^2 + (y - (-1))^2 = r^2

(x + 7)^2 + (y + 1)^2 = r^2

To get the radius, we need to find the distance between the center and the point on the circle. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

In this case, x2 = -4, x1 = -7, y2 = 3, and y1 = -1.

sqrt((-4 - -7)^2 + (3 - -1)^2) = sqrt((-4 + 7)^2 + (3 + 1)^2) = sqrt((3)^2 + (4)^2) = sqrt(9 + 16) = sqrt(25) = plus or minus 5.

Since distance can only be positive, the distance is 5 units, meaning that the radius is 5 units.

5^2 = 25

So, your equation should be (x + 7)^2 + (y + 1)^2 = 25.

Hope this helps!

8 0
3 years ago
Is 143 a prime number
tensa zangetsu [6.8K]
143 is composite. To be prime it has to have only 2 divisors i.e it's self and one but since it has 4 divisors ( 143, 1, 11 and 13) it is composite.
5 0
3 years ago
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