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KengaRu [80]
3 years ago
9

Can you please help me answer this picture​

Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0

Answer:

Option B. One Solution

Step-by-step explanation:

5x+17= 4(3x-1)

5x+17 = 12x-4

17+4 = 12x-5x

21. = 7x

thus, x=3 (one solution)

natima [27]3 years ago
3 0
<h2><u>EQUATIONS</u></h2>

We'll solve this equation:

<h3>5x + 17 = 4(3x - 1)</h3>

First, let's apply the distributive property:

‎      ‏‏‎5x + 17 = 4(3x - 1)

‎      ‏‏‎5x + 17 = 12x - 4

Now, add 4 to both sides of the equation:

‎      ‏‏‎5x + 17 = 12x - 4

5x + 17 + 4 = 12x - 4 + 4

‎      ‏‏‎5x + 21 = 12x

Substract 5x from both sides:

‎  ‎     ‏‏‎5x + 21 = 12x

5x - 5x + 21 = 12x - 5x

‎      ‏‏‎‎      ‏‏‎‎   21 = 12x - 5x

‎      ‏‏‎‎      ‏‏‎‎   21 = 7x

Now, divide both sides by 7

‎      ‏‏‎‎   21 ÷ 7 = 7x ÷ 7

<h3>‎      ‏‏‎‎   ‎    ‏‏‎‎ 3 = x</h3>

Therefore, x = 3.

‎      ‏‏‎‎    

<h3>B. The equation has one solution.</h3>
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What equation results from completing the square and then factoring? x2 + 6x = 13
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Step 2: Use quadratic formula with a=1, b=6, c=-13.
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7 0
3 years ago
Read 2 more answers
The equation of line g is y = –2x − 10. Line h includes the point (–1, 9) and is parallel to line g. What is the equation of lin
zvonat [6]

Answer:

Equation for line h y = -2x +7

Step-by-step explanation:

Since the lines are parallel, their slope (m) must be the same.

Since they are in the form y=mx+b lets plug in the x and y values of line h.

y=mx+b

9= -2(-1) +b

9 = 2 + b

b = 7

lets plug this into the original equation.

y = -2x +7

7 0
3 years ago
Question and answer choices are in the SS attached!!!! Pls help me! ty!
victus00 [196]

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = \sqrt{592}

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

3 0
3 years ago
30. What is the solution to the system of equations? (1 point)
sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

-7x-2y+z=-2\hfill (1)

6x-y-z=-18\hfill (2)

5x+4y-z=18\hfill (3)

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

-7x-2y+z=-2

6x-y-z=-18

_________________

-x-3y=-20

________________

-x-3y=-20

-(x+3y)=-20

x+3y=20\hfill (4)  (since "-" getting cancelled)

Now adding equations (1) and (3)

-7x-2y+z=-2

5x+4y-z=18

_________________

-2x+2y=16

________________

-2x+2y=16

2(-x+y)=16

-x+y=8\hfill (5)

Now adding equations (4) and (5)

x+3y=20

-x+y=8

_________________

4y=28

________________

y=\frac{28}{4}

Therefore y=7

Substituting y=7 in equation (4)

x+3y=20

x+3(7)=20

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x=20-21

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

-7x-2y+z=-2

-7(-1)-2(7)+z=-2

7-14+z=-2

z=-2+7

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0
3 years ago
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