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Fantom [35]
3 years ago
13

List the next 4 multiples of the number.

Mathematics
2 answers:
barxatty [35]3 years ago
8 0
Answer is <span>B) 22, 33, 44, 55 

multiply by 2 
so 
</span>11 * 2 = 22
11 * 3 = 33
11 * 4 = 44
11 * 5 = 55
garik1379 [7]3 years ago
8 0
11,22,33,44,55 <======
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Evaluate each function.<br> 1) g(x) = x² + 2x; Find g(2)
zhuklara [117]

Answer:

g=x+2

Step-by-step explanation:

Let's solve for g.

gx=x2+2x

Step 1: Divide both sides by x.

gx/x = x2 +2x / x

<u>g=x+2</u>

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6 0
3 years ago
43x+ 67y = -24 and 67x + 43y = 24 solve
aleksandrvk [35]

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

We'll write these equations in general form, then solve using the cross-multiplication method.

  43x +67y +24 = 0

  67x +43y -24 = 0

∆1 = (43)(43) -(67)(67) = -2640

∆2 = (67)(-24) -(43)(24) = -2640

∆3 = (24)(67) -(-24)(43) = 2640

These go into the relations ...

  1/∆1 = x/∆2 = y/∆3

  x = ∆2/∆1 = -2640/-2640 = 1

  y = ∆3/∆1 = 2640/-2640 = -1

The solution is (x, y) = (1, -1).

_____

<em>Additional comment</em>

The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)

4 0
3 years ago
Pepper Jamie filled up her 10 Gallon gas tank for 54.50 how much did the gas cost per gallon
dangina [55]

Answer:

$5.45

Step-by-step explanation:

54.50÷10

4 0
4 years ago
Let A be the point (0,a), and B be the point (0,a+b) on the xy-plane. Let P denote a variable point (x,0), where x &gt; 0. Find
olga_2 [115]

Answer:

  x = √(a(a+b))

Step-by-step explanation:

We can also assume a > 0 and b > 0 without loss of generality. (If a and a+b have opposite signs, the maximum angle is 180° at x=0.)

We choose to define tan(α) = -(b+a)/x and tan(β) = -a/x. Then the tangent of ∠APB is ...

  tan(∠APB) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

  = ((-(a+b)/x) -(-a/x))/(1 +(-(a+b)/x)(-a/x))

  = (-bx)/(x^2 +ab +a^2)

This will be maximized when its derivative is zero.

  d(tan(∠APB))/dx = ((x^2 +ab +a^2)(-b) -(-bx)(2x))/(x^2 +ab +a^2)^2

The derivative will be zero when the numerator is zero, so we want ...

  bx^2 -ab^2 -a^2b = 0

  b(x^2 -(a(a+b))) = 0

This has solutions ...

  b = 0

  x = √(a(a+b))

The former case is the degenerate case where ∠APB is 0, and the value of x can be anything.

The latter case is the one of interest:

  x = √(a(a+b)) . . . . . . the geometric mean of A and B rotated to the x-axis.

_____

<em>Comment on the result</em>

This result is validated by experiments using a geometry program. The location of P can be constructed in a few simple steps: Construct a semicircle through the origin and B. Find the intersection point of that semicircle with a line through A parallel to the x-axis. The distance from the origin to that intersection point is x.

3 0
4 years ago
In triangle xyz, z2 = x2 + y2. triangle xyz has sides x, qy, z opposite to the corresponding vertices x, y, z which equation is
Mrac [35]

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6 0
3 years ago
Read 2 more answers
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