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Digiron [165]
3 years ago
11

Find the output, k, when the input, t, is 3. k = 13t - 2 k=

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

k = 37

Step-by-step explanation:

k = 13t - 2     Since the input, t, is 3, substitute it.

k = 13(3) -2   Multiply

k = 39 - 2     Subtract

k = 37

If this answer is correct, please make me Brainliest!

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A 50 centimeter piece of wire is bent into a circle. What is the area of this circle?
Korvikt [17]

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)

6 0
3 years ago
Which algebraic expression represents “ six less than a number “
nevsk [136]

Answer:

x-6

Step-by-step explanation:

i believe this is correct.

7 0
3 years ago
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What is the quotient of 14.2 ÷ 0.28
Elina [12.6K]
This would be 50.71                  
4 0
3 years ago
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which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!​
coldgirl [10]

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  \dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}

Likewise, the expression of (b) with the minus sign factored out is ...

  \dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}

On the other hand, simplifying expression (c) gives something different.

  \dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

<u>Summary</u>: The given expression matches (a) and (b).

_____

<em>Additional comments</em>

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  \left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

3 0
3 years ago
Rectangle ABCD was dilated to create rectangle A'B'C'D.
77julia77 [94]

The first thing we must do for this case is to calculate the scale factor.

For this, we make the relationship between two parallel sides.

We have then:

k =\frac{B'C'}{BC}

Substituting values we have:

k = \frac{9.5}{3.8}\\k = 2.5

We are now looking for the value of AB

We have then:

AB = \frac{A'B'}{k}

Substituting values:

AB = \frac{15}{2.5}\\AB = 6

Answer:

The scale factor is:

k = 2.5

The value of AB is:

AB = 6

8 0
3 years ago
Read 2 more answers
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