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Fudgin [204]
3 years ago
14

Use the formula P=21+2w to find the width of a rectangle when the length is 18cm and perimeter is 48 ..

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

w=6

Step-by-step explanation:

P=2(L)+2(w)

48= 2(18)+2w

48=36+2w

12=2w

w=6

checking;

48= 2(18)+2(6)

48= 36+12

48= 48

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Hoochie [10]

Answer:

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3 years ago
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Write the equation for 5x + 2y = 3 in slope-intercept form.
Vikki [24]

Answer:

B. y = -5/2x +3/2

Step-by-step explanation:

5x + 2y = 3

We want to get this in the form

y = mx +b where m is the slope and b is the y intercept

Subtract 5x from each side

5x -5x+ 2y =-5x+ 3

2y = -5x+3

Divide by 2

2y/2 = -5x/2 +3/2

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7 0
3 years ago
What expression is equivalent to -1/3(6x+15)-3
Anna11 [10]

Answer:

\large\boxed{-\dfrac{1}{3}(6x+15)-3=-2x-8}

Step-by-step explanation:

-\dfrac{1}{3}(6x+15)-3\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(-\dfrac{1}{3}\right)(6x)+\left(-\dfrac{1}{3}\right)(15)-3\\\\=-2x-5-3\\\\=-2x-8

5 0
3 years ago
The graphs of two exponential functions, f and g, are shown on the coordinate plane below.
sp2606 [1]

Answer:

C. 7

Step-by-step explanation:

We have been given graphs of two exponential functions, f and g.

g(x)=f(x)+k

We can see that our parent function f(x) is translated k units to get function g(x).

The rules for translation are mentioned below.

Horizontal shifting:

f(x-a)= Graph shifted to right by a units.

f(x+a)= Graph shifted to left by a units.

Vertical shifting:

f(x)+a= Graph shifted upwards by a units.

f(x)-a= Graph shifted downwards by a units.

Upon comparing our given graph with transformation rules we can see that our function f(x) is translated k units upward to get function g(x).

Now let us find the value of k from our given graph.

We can see that initial value (y-intercept) of f(x) is -4 and initial value of g(x) is 3. Difference between y-intercepts of both functions is 7.

\text{Difference between y-intercepts}= 3--4=3+4=7

Our parent function f(x) is shifted 7 units upwards to get new function g(x), therefore the value of k is 7 and option C is the correct choice.

5 0
3 years ago
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What is the distance, in units, from 0 to point P on the number line.
MrMuchimi

Answer:

4 1/2

Step-by-step explanation:

The point is marked at -4 1/2 on the number line. The distance from there to the origin is 4 1/2 units.

(Distances and lengths are always positive—as are values derived from them, such as perimeter or area.)

4 0
3 years ago
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