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Anika [276]
3 years ago
8

-3k+6=10+k solve with steps please

Mathematics
2 answers:
Artemon [7]3 years ago
4 0

Answer:

k = -1

Step-by-step explanation:

-3k + 6 = 10 + k

combine similar terms:

-3k - k = 10 - 6

simplify:

-4k = 4

simplify:

k = 4 / -4

k = -1

Sphinxa [80]3 years ago
3 0

Answer:

-1=K

Step-by-step explanation:

You take the -3k and add 3k to both sides to get 6=10+4k, Then you take 10 away on both sides to get -4=4k, finally you divide 4 on both sides to get the variable (k) by itself so your answer is -1

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What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

7 0
3 years ago
In ΔDEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of ΔDEF in order from smallest to largest?
Rudik [331]

Answer:

< F , < E, < D

Step-by-step explanation:

ΔDEF

Arrange the sides from smallest to largest

DE = 4, FD = 13, and EF = 15.

Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes  the smallest angle.

the angles of ΔDEF in order from smallest to largest

< F , < E, < D

7 0
2 years ago
Find the area of the shaded region. Round to the nearest tenth.
AURORKA [14]

Answer:

3.5 square cm

Step-by-step explanation:

Area \: of \: both \: squares  \\ =  {2}^{2}  +  {3}^{2}  \\  = 4 + 9 \\  = 13 \:  {cm}^{2}  \\  \\ Area \: of \: both \: right \:  \triangle s \\  =  \frac{1}{2}  \times (2 + 3) \times 2 + \frac{1}{2}  \times3 \times 3 \\  = 5 \times 1+ 1.5 \times 3 \\  = 5 + 4.5 \\  = 9.5 \:  {cm}^{2}  \\  \\ Area \: of \:shaded \: region \\  = Area \: of \: both \: squares\\ - Area \: of \: both \: right \:  \triangle s \\  = 13 - 9.5 \\   \purple { \boxed{ \bold{Area \: of \:shaded \: region = 3.5 \:  {cm}^{2} }}}

7 0
3 years ago
Write the expression as either the sine, cosine, or tangent of a single angle.
olya-2409 [2.1K]
There exists a trigonometric identity which states that,
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This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,
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5 0
3 years ago
Read 2 more answers
The perimeter of triangle ABC is 32 find the lengths of AC and AB​
Nutka1998 [239]

The lengths of AC and AB​ are each 10.6 units.

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

Perimeter of a triangle = Sum of all the three sides of a triangle

  • Perimeter = 3a
  • where, a is the length of the each sides of a triangle.

⇒ 32 = 3a

⇒ a = 32/3

⇒ a = 10.6

6 0
3 years ago
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