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Dafna1 [17]
3 years ago
14

The sum of two numbers is nine if one number is subtracted from the other the result is -1 find the numbers

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0
Lets make x and y the two numbers. The sum of the two numbers (x and y) is 9 means that they add to 9. So the first equation is 

x+y = 9

Let's isolate y by subtracting x from both sides. That gives us

y = 9-x

The other bit of information given is "if one number is subtracted from the other, the result is -1", which means we have this other equation

x-y = -1

From here, substitute y for 9-x

x-y = -1
x-(y) = -1
x-(9-x)=-1
x-9+x=-1
2x-9 = -1
2x-9+9 = -1+9
2x = 8
2x/2 = 8/2
x = 4

If x = 4, then y is...
y = 9-x
y = 9-4
y = 5

Therefore, the two numbers are 4 and 5. They add to 9
4+5 = 9
and they subtract to -1
4-5 = -1

Final Answer: 4 and 5
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Answer:

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3 0
3 years ago
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Find the area of the figure.
Ivanshal [37]

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

= 3.5 \times 3 \\  = 10.5 {mm}^{2}

Area of Quarter- Circle = 1/4 x Area of Circle

=  \frac{1}{4} \pi {r}^{2}  \\  =  \frac{1}{4} \pi( {3.5}^{2} ) \\  = 3 \frac{1}{16} \pi {mm}^{2}

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Total Area = Area of 2 Rectangles + Area of Quarter Circle

= 10.5 + 3 \frac{1}{16} \pi + 19.25 \\  = 29.75 + 3  \frac{1}{16}\pi  \\  = 32  \frac{13}{16}\pi {mm}^{2}

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

8 0
3 years ago
The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.
balu736 [363]
Equilateral triangle have the same side lengths. Perimeter = sum of all sides
(4x - 3) + (4x - 3) + (4x - 3) = 63
Remove parentheses
4x - 3 + 4x - 3 + 4x - 3 = 63
Combine like terms
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C

Step-by-step explanation:

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