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Masteriza [31]
3 years ago
10

The sum of three consecutive even integers is 222. find the three integers.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0
X + (x+1) + (x+2) = 222
3x = 219
x = 73

Integers are 73 74 and 75


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Answer:

b

Step-by-step explanation:

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3 years ago
Find the x-intercept and the y-intercept of 2x + 6y =24
viktelen [127]

Answer:

x-intercept = 12, y-intercept = 4

Step-by-step explanation:

To find the x and y intercept, substitute 0 in for both values.

<u>Substitute 0 into x:</u>

2(0) + 6y = 24

6y = 24

<u>Divide each side by 6:</u>

y = 4

<u>Substitute 0 into y:</u>

2x + 6(0) = 24

2x = 24

<u>Divide each side by 2:</u>

x = 12

4 0
2 years ago
Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?
algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.


Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.


Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.


So, the coordinates of the endpoint are T = (5,-13)


If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.


We have G = (-3, 5) and T = (x_T,y_T). The midpoint is computed as


A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)


So, you have the equations


\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4


Multply both equations by 2 to get


-3+x_T = 2,\qquad 5+y_T = -8


Move the constants to the right hand sides to get


x_T = 5,\qquad y_T = -13

8 0
3 years ago
Help with this algebra problem? 12y+6=6y+12?
Anika [276]
First, combine like terms.
12y+6=6y+12 turns into
12y-6y=12-6, which is
6y=6. Now divide both sides by 6.
y=1

now do a quick check (cause that's always a good idea).
12(1)+6=6(1)+12
12+6=6+12
18=18  ; )
7 0
3 years ago
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