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antiseptic1488 [7]
2 years ago
14

Y = ax2 + c Axis of symmetry:

Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer: Hope this helps you solve the problem if you need better examples or a direct answer just reply ヾ(•ω•`)o

Step-by-step explanation: Rewrite the equation as ax2 +bx+ c = y a x 2 + b x + c = y. Move y to the left side of the equation by subtracting it from both sides. Use the quadratic formula to find the solutions. Or you can Problem 1 0 Graph y = x2 the first thing we need to do is to remember the x and y table we used to make for y = mx + b. We will do this on the below table always using the numbers -2, -1, 0, 1, 2.

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Here is a system of equations. (y=x-6 y=-x-2 Graph the system. Then write its solution. Note that you can also answer "No soluti
sladkih [1.3K]

Answer:

Example system with no solution

We're asked to find the number of solutions to this system of equations:

\begin{aligned} y &= -3x+9\\\\ y &= -3x-7 \end{aligned}  

y

y

​  

 

=−3x+9

=−3x−7

​  

 

Without graphing these equations, we can observe that they both have a slope of -3−3minus, 3. This means that the lines must be parallel. And since the yyy-intercepts are different, we know the lines are not on top of each other.

There is no solution to this system of equations.

Example system with infinite solutions

We're asked to find the number of solutions to this system of equations:

\begin{aligned} -6x+4y &= 2\\\\ 3x-2y &= -1 \end{aligned}  

−6x+4y

3x−2y

​  

 

=2

=−1

​  

 

Interestingly, if we multiply the second equation by -2−2minus, 2, we get the first equation:

\begin{aligned} 3x-2y &= -1\\\\ \blueD{-2}(3x-2y)&=\blueD{-2}(-1)\\\\ -6x+4y &= 2 \end{aligned}  

3x−2y

−2(3x−2y)

−6x+4y

​  

 

=−1

=−2(−1)

=2

​  

 

In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.

Step-by-step explanation:

7 0
3 years ago
1. Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 fee
alexandr1967 [171]

Answer:

<em>(a) 3 inches </em>

<em>(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches</em>

Step-by-step explanation:

<u>Scaling </u>

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.  

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

5 inches * 2 feet / 1 inch = 10 feet

The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper

6 0
3 years ago
I just need 30 please
PIT_PIT [208]

In the smaller triangle, let y be the length of the smallest leg. Then the smallest leg in the larger triangle is 14-y.

Within the scope of the smaller triangle, we have y such that

x^2+y^2=13^2\implies y=\sqrt{13^2-x^2}

Then within the larger the triangle, we would have

x^2+(14-y)^2=15^2\iff x^2+\left(14-\sqrt{13^2-x^2}\right)^2=15^2

Now we can solve for x:

x^2+14^2-28\sqrt{13^2-x^2}+(13^2-x^2)=15^2

\implies x=12

8 0
3 years ago
What is the answer to |x-8| , with x=-7? please show work!
LekaFEV [45]

Answer:

15

Step-by-step explanation:

|-7-8| = |-15| = 15##

7 0
3 years ago
Can someone please help me with these? It's pretty straightforward, yet I don't fully understand. Please help me
skad [1K]

Answer:

1. 1.3608 or 1.36 Ton    2. 9259.42 but 9259 also works pounds  3. 56 pints   4. 3.9

Step-by-step explanation:

1. 1.3608 or 1.36 Ton    2. 9259.42 but 9259 also works pounds  3. 56 pints   4. 3.9

6 0
3 years ago
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