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Zielflug [23.3K]
3 years ago
8

If (a+7,b+3)=(0,7)find a and b​

Mathematics
1 answer:
Lerok [7]3 years ago
3 0
A+7=0
A+7-7=0-7
A=-7

B+3=7
B+3-3=7-3
B=4
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The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
Please help with number 11 please.
Tomtit [17]

Answer: 4/10

Step-by-step explanation:

2/5 = ?/10 As the amount of pieces correspond to the denominator

As 5x2 = 10

2x2 = 4

5 0
2 years ago
What number is 10times bigger than 30​
barxatty [35]

Answer:

300

Step-by-step explanation:

30 * 10 = 300

5 0
2 years ago
Read 2 more answers
If no number can be used more than once, how many different 2-digit numbers can be formed from the digits 4, 6, and 8?
ikadub [295]

Answer:

Six.

46

48

64

68

84

86

Step-by-step explanation:

hoped this helped!

4 0
2 years ago
If I Row my canoe at 5 mph and I travel upstream at 3 mph, how fast will I be traveling downstream if I am rowing at the same ra
Assoli18 [71]
Is the same as the one you just did.

keep in mind that, going against the current, the current's speed erodes speed from your regular speed, whilst if you're going with the current, the current's speed adds to it.

now, in this case, you row 5mph, going upstream you're only doing 3mph, whatever happened to the other 2mph?  well, the current speed eroded them, meaning the speed of the river is 2mph.

now, going downstream with the current, your regular speed is 5mph, and the current is 2mph, since the current adds to yours, then you're going 5 + 2, mph.
5 0
3 years ago
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