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Valentin [98]
3 years ago
5

5 - 7k = -4(k + 1) - 3​

Mathematics
2 answers:
mojhsa [17]3 years ago
7 0

Answer:

5 - 7k = -4(k + 1) - 3​

5 - 7k = -4k - 4 - 3​

7k + 4k = - 4 - 3​ -5

11k = -12

k = -12/11

~batmans wife dun dun dun...

maw [93]3 years ago
6 0
Step 1: Simplify both sides of the equation.
5
−
7
k
=
−
4
(
k
+
1
)
−
3
5
+
−
7
k
=
(
−
4
)
(
k
)
+
(
−
4
)
(
1
)
+
−
3
(Distribute)
5
+
−
7
k
=
−
4
k
+
−
4
+
−
3
−
7
k
+
5
=
(
−
4
k
)
+
(
−
4
+
−
3
)
(Combine Like Terms)
−
7
k
+
5
=
−
4
k
+
−
7
−
7
k
+
5
=
−
4
k
−
7
Step 2: Add 4k to both sides.
−
7
k
+
5
+
4
k
=
−
4
k
−
7
+
4
k
−
3
k
+
5
=
−
7
Step 3: Subtract 5 from both sides.
−
3
k
+
5
−
5
=
−
7
−
5
−
3
k
=
−
12
Step 4: Divide both sides by -3.
−
3
k
−
3
=
−
12
−
3
k
=
4
Answer:
K=4
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<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

2|x -4| +6 \text{ for } x = 2 \\ 2|2 -4| +6 \\ 2|-2| +6 \\ 2(2) +6 \\ 4 +6 \\ 10

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3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
Solve the quadratic by quadratic formula below<br><br> x squared-14x=-49
lubasha [3.4K]
X^2-14x+49=0

Factor
(x-7)(x-7)

Check
-7-7=-14
-7*-7=49

Use ZPP
x-7=0
x=7

Final answer: x=7
5 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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