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kirill115 [55]
4 years ago
6

What is the answer too 3(6p-1)=11p-45

Mathematics
2 answers:
allsm [11]4 years ago
8 0
You expand out the left side which gives you 18p-3 = 11p-45 then you bring 11p over to the other side by subtracting it from both sides, and you bring 3 over to the other side by adding it to both sides. That will leave you with 7p=-42 you divide both sides by 7 and get

P=(-6)
Yakvenalex [24]4 years ago
3 0

Answer:

6

Step-by-step explanation:

3(6p - 1) = 11p- 45

18p - 3 = 11p - 45

18p = 11p - 42

7p = - 42

-42/7

p = 6

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Alex777 [14]

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6​

Add four to both sides: x < 10

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A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the sandbox to the nearest tenth.
andrey2020 [161]

Answer: I belive the answer would be 18.8

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Graph the image of this figure after a dilation with a scale factor of 13 centered at the point (4, −2) .
Sonja [21]

Answer:

From the given triangle figure;

Labelled the triangle as A , B and C.

The coordinates of this triangle ABC  are;

A = (1, 10) ,

B = (-2, 4)

C = (7, 4).

Given : Scale factor(k) = \frac{1}{3} and centered at point (4, -2).

The rule of dilation with k= \frac{1}{3} and center at point (4,-2) is:

(x, y) \rightarrow (\frac{1}{3}(x-4)+4 , \frac{1}{3}(y+2)-2)

(x, y) \rightarrow (\frac{1}{3}x-\frac{4}{3}+4 , \frac{1}{3}y+\frac{2}{3}-2)

or

(x, y) \rightarrow (\frac{1}{3}x+\frac{8}{3} , \frac{1}{3}y-\frac{4}{3})

then, the dilation of the given figure are;

A(1, 10) \rightarrow (\frac{1}{3}\cdot 1+\frac{8}{3} , \frac{1}{3} \cdot 10-\frac{4}{3}) = (\frac{1}{3}+\frac{8}{3} , \frac{10}{3}-\frac{4}{3}) =(\frac{9}{3} , \frac{6}{3}) = A'(3 , 2)

B(-2, 4) \rightarrow (\frac{1}{3}\cdot -2+\frac{8}{3} , \frac{1}{3} \cdot 4-\frac{4}{3}) =(-\frac{2}{3}+\frac{8}{3} , \frac{4}{3}-\frac{4}{3}) =(\frac{6}{3} , \frac{0}{3}) =B'(2 , 0)

C(7, 4) \rightarrow (\frac{1}{3}\cdot 7+\frac{8}{3} , \frac{1}{3} \cdot 4-\frac{4}{3}) =(\frac{7}{3}+\frac{8}{3} , \frac{4}{3}-\frac{4}{3}) =(\frac{15}{3} , \frac{0}{3}) = C'(5 , 0)

The coordinates of dilation images are:

A' = (3,2) , B' = (2, 0) and C' = (5, 0)

You can see the graph of the dilated image as shown below:

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andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

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we can solve this by factoring.

that means we need to find a and b so that

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so, the result is

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since we are only looking for positive integers, x = -1 is not a valid solution.

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