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RideAnS [48]
3 years ago
11

2. Match each set of equations with the move that turned the first

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

Step-by-step explanation:

1) In the first equation, - 4x was added to both sides of the equation. This is expressed as

6x - 4x + 9 = 4x - 4x - 3

2x + 9 = - 3

2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as

- 4 × - 1/4(5x - 7) = - 18 × - 1/4

5x - 7 = 4.5

3) In the third equation, - 4 was added to both sides of the equation. This is expressed as

8 - 10x = 7 + 5x

8 + (- 4) - 10x = 7 + (-4) + 5x

8 - 4 - 10x = 7 - 4 + 5x

4 - 10x = 5 + 5x

4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as

- 5x/4 × - 4 = 4 × - 4

5x = - 16

5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as

12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4

3x + 1 = 5x + 6

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What is the slope of the line that passes through the points (1, -6) and (-8, 9) ?Write your answer in simplest form.
Dmitry [639]

Answer:

5/-3

Step-by-step explanation:

The slope formula is rise/run.

If you graph this, the two points make a line that slopes downwards. The higher point is in the negative axis, which means that the run will be negative.

you rise up 15 points from the first point (1,-6) to get to the same level as the second point. (-8,9). This is your rise.

You go over to the other point, this is your run. The run is -9.

15/-9

we can simplify  this fraction.

5/-3 is your final answer.

5 0
3 years ago
Here is a sketch of y=x^2+bx+c The curve intersects
atroni [7]

Answer:

y = 18  and  x = -2

Step-by-step explanation:

y = x^2+bx+c   To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0).  Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically     Plugging in  (2,0) :

y=x2+bx+c  

0=(2)^2+b(2)+c  

y=4+2b+c  

-2b=4+c  

b=-2+2c  

Plugging in  (0,−14) :

y=x2+bx+c  

−14=(0)2+b(0)+c  

−16=0+b+c  

b=16−c  

Now that we have two equations isolated for  b , we can simply use substitution and solve for  c .   y=x2+bx+c  16 + 2 = y   y = 18  and  x = -2

4 0
3 years ago
What the value of r that makes the value true? r+(-0.14)=0.47
siniylev [52]

r+(-0.14)=0.47\\\\r-0.14=0.47\qquad|\text{add 0.14 to both sides}\\\\r-0.14+0.14=0.47+0.14\\\\r=0.61

4 0
3 years ago
The volume of a cone is 37.7 cubic inches, and its height is 4 inches. What is the diameter of the base of the cone?
Rom4ik [11]
Just multiply 37.7 by 4 and get your answer.
6 0
3 years ago
A right triangular prism is shown. A right triangular prism is shown. The right triangles have sides with lengths 15 and 8. The
Strike441 [17]

Answer:

900 cubic units

Step-by-step explanation:

V= base area *height of prism

Area of base is 1/2*15*8 =60

V=60*15

V=900

3 0
3 years ago
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