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lara [203]
3 years ago
15

Can you help me with this!!!!!!!!!

Mathematics
1 answer:
alexira [117]3 years ago
4 0

a. The first variable is x and the second variable is y.

b. The equations are x+y=12 and x-y=8.

Step-by-step explanation:

Step 1:

The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.

Here let the first variable be x and the let the second variable be y.

So the variables are defined as x and y.

Step 2:

The sum of the given variables is 12.

The first variable + the second variable = 12,

x+y=12.

The difference between the two variables is 4.

The first variable - the second variable = 4.

x-y=4.

Step 3:

If we add both the equations we get, 2x =16, x= 8 and y=4.

x = 8 and y = 4.

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Factor:<br> 4b2 - 12b + 9
Vikentia [17]

Answer:

  (2b-3)²

Step-by-step explanation:

The square of a binomial is ...

  (p - q)² = p² - 2pq + q²

The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

For p² = 4b², p=2b.

For q² = 9, q = 3.

Then 2pq = 2(2b)(3) = 12b.

So, the factoring is ...

  4b² -12b +9 = (2b -3)²

5 0
4 years ago
Sam read 20% of the book on Monday and 0.2 of the book on Tuesday. If he read 50% of the remainder on Wednesday and still had 36
KonstantinChe [14]
Okay first you need to convert 0.2 to a percentage which would be 20% then 20% + 20% = 40% then it says he read 50%, 50% of 36 means that you have to multiply 36 two times to get, 72 then you do 72 * 40% = 28.8 = 29 + 72 = 101 pages in all then 101- 40%= 60.6 is how many pages were read on Monday and Tuesday.
8 0
3 years ago
Which is the constant term of the algebraic expression -2x2 + 17 -15x + 7xy?
Over [174]
17 is the constant term because it does not have any variables.
5 0
3 years ago
Use the Parabola tool to graph the quadratic function. f(x)=2x^2−12x+19 Graph the parabola by first plotting its vertex and then
Debora [2.8K]
To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form f(x)=x^2+bx+c it vertex (h,k) is given by h= \frac{-b}{2a}, k=f(h).
We can infet from our parabola that a=2 and b=-12. So lets replace those values in our formula:
h= \frac{-b}{2a}
h= \frac{-(-12)}{2(2)}
h= \frac{12}{4}
h=3
k=f(h)=2(3)^2-12(3)+19
k=2(9)-36+19
k=18-17
k=1
The vertex (h,k) of our parabola is (3,1)

Now to find our second point, we are going to evaluate our parabola at x=0
f(0)=2(0)^2-12(0)+19
f(0)=0+0+19
f(0)=19
Our second point is (0,19)

We can conclude that we can graph the parabola f(x)=2x^2-12x+19 using its vertex (3,1) and the point (0,19) as follows: 

7 0
3 years ago
What missing angle of the figure
aniked [119]

Answer:

138

Step-by-step explanation:

152+125=277

277-135=142

around 138

4 0
3 years ago
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