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Blizzard [7]
3 years ago
7

Twice the sum of a number and six decreased by fifteen is the same as eighteen more than the product of five and the number. Fin

d the number.
Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

-9

Step-by-step explanation:

2(n+6) -15 = 5n+18

2n + 12 - 15 = 5n + 18

2n - 3 = 5n + 18

2n = 5n + 21

-3n = 21

n = -9

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What are the coordinates of the points (2,-3) after a counter clockwise rotation of 90 about the Origin?
Ber [7]

Step-by-step explanation:

(2, -3) is in the 4th quadrant. By the counter clockwise rotation of 90° around the origin, it will be in the 1st quadrant.

Any point in the 1st quadrant has both positive x and y coordinates.

So the answer is (3, 2).

4 0
3 years ago
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum? ​
VLD [36.1K]

Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that

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where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.

Then the sum is

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and its magnitude is

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5 0
3 years ago
Read 2 more answers
I need help with this problem right away please.
irga5000 [103]

Answer:

y= -1/9(x-1)^2 +2

Step-by-step explanation:

The vertex is at (1,2) and another point is at (-2,1).

We know the vertex form of a parabola is

y= a(x-h)^2 +k  where (h,k) is the vertex  

Substituting the vertex in

y= a(x-1)^2 +2

We have another point, (-2,1)

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1 = a (-3)^2 +2

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-1/9 = 9a/9

-1/9 =a

Putting this back into the equation


y= -1/9(x-1)^2 +2

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3 years ago
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Step-by-step explanation:

Given

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We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.

8 0
3 years ago
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