What is the solution to system of linear equations graphed here?

2³ × 3³÷2² × 3² I can't solve it

polet [3.4K]

Answer:

486

Step-by-step explanation:

just multiply and divide

8 x 27 / 4 x 9

5 0

2 years ago

The coordinates of the vertices of ΔMDT are M (4, −3),D (−6, −1), and T (7, −8). Identify the perimeter of ΔMDT. Round each side

Ganezh [65]

$M=(4,-3)\qquad D=(-6,-1)\qquad T=(7,-8)\\\\\\
|MD|=\sqrt{\big(-6-4\big)^2+\big(-1-(-3)\big)^2}=\sqrt{\big(-10\big)^2+\big(-1+3\big)^2}=\\\\=\sqrt{100+2^2}=\sqrt{104}\approx\boxed{10.2}\\\\\\\\
|DT|=\sqrt{\big(7-(-6)\big)^2+\big(-8-(-1)\big)^2}=\sqrt{\big(7+6\big)^2+\big(-8+1\big)^2}=\\\\=\sqrt{13^2+(-7)^2}=\sqrt{169+49}=\sqrt{218}\approx\boxed{14.8}\\\\$

$|TM|=\sqrt{\big(4-7\big)^2+\big(-3-(-8)\big)^2}=\sqrt{\big(-3\big)^2+\big(-3+8\big)^2}=\\\\=\sqrt{9+5^2}=\sqrt{9+25}=\sqrt{34}\approx\boxed{5.8}$

So the perimeter:

$P_{\Delta MDT}=|MD|+|DT|+|TM|\approx10.2+14.8+5.8=\boxed{30.8}$

Answer C.

4 0

4 years ago

Find two numbers whose difference is 150 and whose product is a minimum. step 1 if two numbers have a difference of 150, and one

valentinak56 [21]

The lowest possible product would be -5625 given the numbers 75 and -75.

We can find this by setting the first number as x + 150, which we see in the equation given above. The other number would have to be simply x since it has to have a 150 difference.

Next we'll multiply the numbers together.

x(x+150)
x^2 + 150x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -150/2(1) = -150/2 = -75

So we know one of the values is -75. We can plug that into the equation to find the second.

x + 150
-75 + 150
75

7 0

3 years ago

A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Thursday. There were fewer cheeseburgers sold th

myrzilka [38]

Answer:

the number of hamburgers sold on Thursday were 325.

Step-by-step explanation:

The total number of hamburger and cheese burger is missing

i will replace it with any figure, you can replace it wit your given data and you will get the solution.

A local hamburger shop sold a combined total of 593 hamburgers and cheeseburgers on Thursday

There were 57 fewer cheeseburgers sold than hamburgers

How many hamburgers were sold on thursday

Let h be the number of hamburgers and c be the number of cheeseburgers.

Using this information we can set up two equation as:

$h+c=593\\c=h-57$

Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:

$h+h-57=593\\2h-57=593\\2h=650\\h=325$

Therefore, the number of hamburgers sold on Thursday were 325.

6 0

3 years ago

Teresa graphs the following 33 equations: y=2xy=2x, y=x2+2y=x2+2, and y=2x2y=2x2. She says that the graph of y=2xy=2x will event

Neko [114]

The correct question is
Teresa graphs the following 3 equations: y=2x, y=x2+2, and y=2x2. She says that the graph of y=2x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

we have that
y=2x
y=x²+2
y=2x²

using a graph tool
see the attached figure

We can affirm the following
the three graphs present the same domain-----> the interval (-∞,∞)

The range of the graph y=2x is the interval (-∞,∞)

The range of the graphs y=x²+2 and y=2x² is the interval [0,∞)

therefore
Teresa is not correct because the graph of y = 2x will not surpass the other two graphs since in the interval of [0, infinite) the three graphs present the same range

3 0

4 years ago