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3 years ago

Y + 2/3 x = 4 we are solving for y

Mathematics

1 answer:

babymother [125]3 years ago

6 0

Y = -2/3 x + 4 . with whipped cream

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Rewrite the equation of the parabola in vertex form. y= x2 + 8x - 21

sergey [27]

Answer:

$y=(x+4)^{2}-37$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

if a> 0 then the parabola open upward (vertex is a minimum)

if a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

$y=x^{2}+8x-21$

Convert to vertex form

Complete the square

$y+21=x^{2}+8x$

$y+21+16=(x^{2}+8x+16)$

$y+37=(x^{2}+8x+16)$

$y+37=(x+4)^{2}$

$y=(x+4)^{2}-37$ --------> equation in vertex form

The vertex is the point $(-4,-37)$

the parabola open upward (vertex is a minimum)

4 0

3 years ago

Read 2 more answers

0.5 Which number is the same distance away from zero as -9? -10 0 0 1 9

Sonja [21]

Answer:

Step-by-step explanation:

Mathematically, OPPOSITES are the same distance away from zero, but on opposite sides of zero on the number line. Use the drawing tools to plot a point at the opposite of each colored point. The absolute value of 0 is 0. Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.

8 0

3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula: