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3 years ago

Given: 2x+3y=6. What is the y-intercept?

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer:

y-intercept is (0, 2).

Step-by-step explanation:

The y-intercept occurs when x = 0 so:

2(0) + 3y = 6

y = 6/3 = 2.

So the y-intercept is (0, 2).

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Please help I don't understand. This question

Doss [256]

9*2 =18 add 27 =45 this is the answer hope this helped

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2 years ago

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

4 0

2 years ago

What is the solution of the equation over the complex numbers

denis-greek [22]

Answer:

$2i\sqrt{3}$

$-2i\sqrt{3}$

Step-by-step explanation:

$x^2 + 12$

First set the equation to 0

$x^2 + 12$

$x^2 + 12 = 0$

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

$x^2 + 12 = 0$

$x^2 + 12 + (-12) = 0 -12$

$x^2 = -12$

Square root both sides of the equal sign.

$x^2 = -12$

$\sqrt{x^2} = \sqrt{-12}$

Take the square root on left sides of the equal sign.

$\sqrt{x^2} = \sqrt{-12}$

$x = \sqrt{-12}$

Take the square root on the right side of the equal sign. Remember $\sqrt{-1} = i$

$x = \sqrt{-12}$

$x = \sqrt{4}*\sqrt{-1}\sqrt{3}}$

$x = 2i\sqrt{3}$

AND

$x = -2i\sqrt{3}$

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3 years ago

The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x)7x+16<−5(4−5x) Select the reason for each

Hoochie [10]

7x +16 < -5(4 - 5x)....given
7x + 16 < -20 + 25x....distributive property
16 < -20 + 18x ... subtraction property
16 + 20 < 18x.....addition property
36 < 18x
36/18 < x.....division property
2 < x

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3 years ago

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Plzzz helppp me!!!!!!!!!!!!!

GREYUIT [131]

Answer:

a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,

258 + 239 = 497

b) It's the same distance = 497

c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.

4 0

2 years ago