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Varvara68 [4.7K]
3 years ago
6

The sum of two consecutive even integers is 226. What is the larger integer?

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0
Hello there!


The larger integer is 114.

x + (x + 2) = 226  

Combine like terms

2x + 2 = 226  

Subtract 2 from both sides

2x = 224   Divide

x = 112

The two integers are 112 and 114. But they asked us for the lager integer. So 114 is the answer.


I hope this helps! As always, it is my pleasure to help students like you!
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The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y
lisov135 [29]

Answer:

-0.7

Step-by-step explanation:

x-y=0.7

You can choose any digits you wish for x and y but the difference must be 0.7. I chose 1.0 and 0.3.

x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7

3 0
2 years ago
I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
3 years ago
Read 2 more answers
How to use the unit circle to find the value of tan (-180)?
vodomira [7]
The point on the unit circle corresponding to -180 degrees is
 ((x, y) = (-1, 0). 

<span>tan(-180°) = y/x = 0/(-1) = 0</span>
3 0
3 years ago
How many 'faces' are on this square pyramid?​
qaws [65]

Answer:

5

Step-by-step explanation:

There are 5 faces on a square pyramid

7 0
3 years ago
I need help with 1-4
worty [1.4K]
1) the longest side is 5cm and the perimeter is 12cm
2) longest side is 12.04 or just 12
3) 241 miles apart
4) Yes it is
6 0
3 years ago
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