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Mathematics

1 answer:

Paha777 [63]4 years ago

6 0

what is the question bec i can answer this....

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I am thinking of a number. It is increased by 7. The sun is 21. What is my number?

Semenov [28]

21-7=14
The answer is 14

8 0

3 years ago

Read 2 more answers

Write an equation of a line in Slope-Intercept Form that passes through the points (3, -2) and (1, 4)

Lena [83]

Answer:

The equation of the line would be y = -3x + 7

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - -2)/(1 - 3)

m = 6 /-2

m = -3

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 4 = -3(x - 1)

y - 4 = -3x + 3

y = -3x + 7

6 0

3 years ago

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)

umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

$\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 = -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y = (x+5)^2 +24 \\\\ y = \frac{1}{12} (x+5)^2 +2$