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olga_2 [115]
3 years ago
13

There are three consecutive even integers. If twice the first integer added to the second is 268, 244 find all three integers.

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

The numbers would be 89,414 , 89,416, and 89,418

Step-by-step explanation:

In order to find this, start by setting the lowest number as x. Then we can determine that the next two even integers are x + 2 and x + 4. From this we can write the following equation.

2(x) + x + 2 = 268,244

3x + 2 = 268,244

3x = 268,242

x = 89,414

Since the first number is 89,414, we know the next two are 89,416 and 89,418.

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Help asappp
Alexandra [31]

Answer:

y = -x-3

x-y = -3

x - 2y = 10

Step-by-step explanation:

x − 3y = 6

Slope intercept form is y = mx +b

We need to solve for y

Subtract x from each side

x-x-3y = -x+6

-3y = -x +6

Divide each side by -3

-3y/-3 = -x/-3 +6/-3

y = 1/3 x -2

Standard form is Ax +By = C

y = -x-3

Add x to each side

x-y = -x+x-3

x-y = -3

y = 1/2x -5

We do not like fractions in standard form, so multiply by 2

2y = 2*1/2x -2*5

2y =x-10

Subtract x from each side

-x +2y = x-x-10

-x+2y = -10

We like to have the coefficient on x be positive

Multiply by -1

x - 2y = 10

3 0
3 years ago
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masha68 [24]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Is −14 < −34? Use the number line to explain your answer.
valina [46]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
rosijanka [135]
Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
4 0
2 years ago
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