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Olin [163]
3 years ago
12

A painting with dimensions 10 inches by 14 inches is placed in a picture frame (of constant width), increasing its area to 221 s

quare inches. How many inches is the width of the picture frame?
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

1.5 inches

Step-by-step explanation:

(10+2x)(14+2x) = 221

4x² + 48x - 81 = 0

4x² + 54x - 6x - 81 = 0

2x(2x + 27) - 3(2x + 27) = 0

(2x + 27)(2x - 3) = 0

x = -27/2, 3/2

x = 3/2 or 1½ or 1.5 inches

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How many triangles in the diagram can be mapped to one another by similarity transformations?
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Answer:

the answer is 3


Step-by-step explanation:


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3 years ago
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Select the correct answer. What is the domain of the function f(x) = 4x − 16? all real numbers all positive real numbers all pos
bagirrra123 [75]
Hello!

Since the function has no undefined points or domain constants the answer is all real numbers

The answer is all real numbers

Hope this helps!
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6x - 8y - 5х +3y. How can you answer this
insens350 [35]

Step-by-step Solution

Problem to solve: 6x−8y−5х+3y

solving method: simplifying

Combining like terms -8yand 3y

6x−5y−5

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A combination lock has 25 numbers on it. How many different 3-digit lock combinations are possible if no digit can be repeated?
IgorC [24]

Answer:

The number of ways is 13,800 ways

Step-by-step explanation:

In this question, we are tasked with calculating the number of ways to form 3-digits codes from 25 different numbers given that no repetition is allowed.

Now, for the first digit, we have all the 25 numbers completely wanting to take a spot. Now, in how many ways can we choose a single out of 25, that would be 25 ways

Now, we have 24 numbers left, and we are trying to pick one, the number of ways this can be done is 24 ways also

for the last digit, we have 23 numbers and we are selecting just one, the number of ways this can be done is 23 ways too

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7 0
3 years ago
what is the equation of the line that is perpendicular to and has the same y intercept as the given line​
Artist 52 [7]

Answer:

y=5x+1

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(0,1) and (5,0)

m=(0-1)/(5-0)

m=-1/5

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

m1=-1/5

substitute

(-1/5)*m2=-1

m2=5

step 3

Find the equation of the line with slope m=5 and y-intercept (0,1)

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=5

b=1

substitute

y=5x+1

8 0
3 years ago
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