Which statement is true about the value of the expression below?

If two equations are graphed, how can you find the solution to the system of equations?

Pavel [41]

Answer:

If the lines intersect, the System of equations has One Solution.

The point of intersection between the lines is the solution of the System of equations.

Step-by-step explanation:

By definition, given a System of Linear equations, if the lines intersect its means that that System of equations has One Solution.

Then, the point of intersection $(x,y)$ between the lines is the solution of the System of equations.

Observe the graph attached in the exercise.

You can notice that the are two lines which are intersecting each other at a point.

In this case, you can identify that the intersection between those lines are at the following point:

$(3,3)$

Where:

$x=3\\\\y=3$

(Observe the picture attached)

That is the solution of the System of equations.

7 0

2 years ago

Help plz I don’t get it

laila [671]

(I will do the first two parts of each question)

1a. 13 is only divisible by 1 and 13, so they are its factors.

1b. 30 can be divided by 1 and 30, and 2*15=30, 3*10=30, and 5*6=30, so 30's factors are 1, 2, 3, 5, 6, 10, 15, and 30.

2. 75's factors are: 1, 3, 5, 15, 25, and 75. So, there can be 75 piles of 1, 25 piles of 3, 15 piles of 5, etc. (3 more)

3a. 3*1=3, 3*2=6, 3*3=9, etc. so the first 5 multiples of 3 are: 3, 6, 9, 12, 15

3b. Same as before, so: 10, 20, 30, 40, 50

3 0

3 years ago

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What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the r

12345 [234]

Answer:

the volume of the solid is $\frac{\pi }{120}$

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = $\frac{\pi }{4}$ ( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ $\frac{\pi }{4}$ ( x - x² )² dx

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }

so we have;

= ₀∫¹ $\frac{\pi }{4}$ ( x² + x⁴ - 2x³ ) dx

= $\frac{\pi }{4}$ $[$ $\frac{x^3}{3}$ + $\frac{x^5}{5}$ - $\frac{2}{4} x^4$ $]^1_0$

= $\frac{\pi }{4}$ [ $\frac{1}{3}$ + $\frac{1}{5}$ - $\frac{2}{4}$ ]

= $\frac{\pi }{4}$ [ $\frac{1}{30}$ ]

V = $\frac{\pi }{120}$

Therefore, the volume of the solid is $\frac{\pi }{120}$

6 0

2 years ago

A rectangle on a coordinate plane has vertices Q(Negative 1, 1), R(6, 1), S(6, Negative 8), and T(Negative 1, Negative 8). What

Reptile [31]

Answer:

there is no picture

Step-by-step explanation:

i need to see a picture to answer this :(

3 0

3 years ago

If P = h+r, then h = . what is the answer?

Elan Coil [88]

Answer:

h = P - r

Step-by-step explanation:

Given

P = h + r ( isolate h by subtracting r from both sides )

P - r = h

5 0

3 years ago

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