All categories

3 years ago

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

7 0

Answer:

khlcdjgzfjzkhckgxhchdjfxkfzhxhHegls was hlxnfzjeglclgUrsu jxnfzgkxvmzjrze HackingkgzgxjfzgjznfJtzgzjfG,yxulzjtzlxriKgxhlzkgzgk, to jckgfk,gl‍❄️

You might be interested in

The length of a line segment is 7. Its end points are (1, 3) and (k, 3). Solve for k. Is there more than one solution? Explain.

Brilliant_brown [7]

$Endpoints:\\\\A(1,3)\ and\ B(k,3)\\\\Formula\ for\ length\ of\ line:\\\\
|AB|=\sqrt{(x_b-x_a)^2+(y_b-y_a)^2}\\\\
|AB|=7\\\\7=\sqrt{(k-1)^2+(3-3)^2}\\\\
7=\sqrt{k^2-2k-1}\ \ |^2\\\\
49=k^2-2k-1
$ $49=k^2-2k-1\\\\
-k^2+2k+1+49=0\\\\
-k^2+2k+50=0\\\\ \Delta=b^2-4ac\\\\a=-1,\ b=2,\ c=50 \\\\\Delta=(2)^2-4*(-1)*50=4-=4+200=204\\\\ \sqrt{\Delta}=2\sqrt{51}$ $\\\\k_1=\frac{-b-\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2-2\sqrt{51}}{2*(-1)}=1+\sqrt{51} \\\\\ or\ k_2=\frac{-b+\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2+2\sqrt{51}}{2*(-1)}=1-\sqrt{51}$

5 0

3 years ago

Write the explicit formula for the geometric sequence.

Savatey [412]

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words:

an = a1 * r ^ (n-1)

Now, knowing that a1 = 2, and r = 4

We check

a2 = 2 * 4 ^ (2-1) = 2 * (4 ^ 1) = 8

a3 = 2 * 4 ^ (3-1) = 2 * (4 ^ 2) = 32

a4 = 2 * 4 ^ (4-1) = 2 * (4 ^ 3) = 128

Therefore, this is the geometric function that this sequence fulfills.

5 0

4 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{12},0)(± 12 ,0)left parenthesis, plus min

lora16 [44]

Answer:

$\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}$

Step-by-step explanation:

Given that :

the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)

The foci are (-C,0) and (C ,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so C0-vertices are (0,±√37)

The given focus C = ae = √12

Given co-vertices ( minor axis) (0,±b) = (0,±√37)

b= √37

We can therefore express the relation between the focus and semi major axes and semi minor axes as:

$\mathbf{c^2 = a^2 - b^2 } \\ \\ \mathbf{a^2 = c^2 + b^2 } \\ \\ \mathbf{c^2 = ( \sqrt12)^2 - (\sqrt 37)^2 } \\ \\ \mathbf{c^2 = 49 } \\ \\ \mathbf{c = \sqrt{49 }}$

The equation of ellipse formula is:

$\dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1$

and we know that $\mathbf{a=\sqrt{49} \ \ and \ \ b=\sqrt{37}}$

Thus ; the equation of the ellipse at the origin is

$\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}$

3 0

4 years ago

Please answer both of these questions. :) Thank you!

son4ous [18]

Answers:
Wood Question: 860 millimeters
Heigh Question: 73 centimeters

Explanations:
Wood Question: You can get this result by doing 7.74/9 because you are dividing 7.74 meters into 9 pieces and you will get 0.86, AKA 86 centimeters. Then, you need to multiply that by 10 to convert it into millimeters and 86(10) is 860.

Height Question: First, you want to do 1.46/2 and you will get 0.73. 0.73 meters is equivalent to 73 centimeters, and since you know Jaxson is two times his sister's height, you know that you can leave it at that, therefore your final answer is 73 centimeters.

7 0

3 years ago

Please help i’ll give brainliest

otez555 [7]

Answer:

median

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers