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2 years ago

If h (x) = 1 - 2/3, find h (x) when x is -6.

Mathematics

2 answers:

ruslelena [56]2 years ago

5 0

The answer is h=19/3 :))

Anton [14]2 years ago

3 0

Answer:

h = 19/3

Step-by-step explanation:

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Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

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

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

2 years ago

Write the equation of a line through points (5,5) and (1, 0) in point-slope form?

algol [13]

Answer:

Step-by-step explanation:

I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.

0 - 5 = -5

1 - 5 = -4

-5 / -4 = 1.25

So m, or the slope, is equal to 1.25.

To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.

0,?

1,0

Now find the change in x, which in this case, is 1. Then set up something like picture three.

1.25/1 = ?/1

?=1.25

Now backtrack to get:

0, -1.25

1, 0

Now we know what is y when x is 0, we know the y intercept and can make the equation:

y = 1.25x - 1.25

5 0

2 years ago

Using the expressions above, find the cost to the family of each company's phone plan if:

BabaBlast [244]

Answer:

company B

Step-by-step explanation:

the company is good!

6 0

3 years ago

Can someone help me with this ?

zhannawk [14.2K]

Answer:

Step-by-step explanation:

12x + 15 = 5x + 85 {Subtract 15 from both sides}

12x + 15 - 15 = 5x + 85 - 15

12x = 5x + 70 {Subtract 5x from both sides}

12x - 5x = 70

7x = 70 {Divide both sides by 7}

x = 70/7

x = 10

∠U = 5x = 5*10 = 50

7 0

2 years ago

Luis bought stock at $66.80. The next day, the price increased $13.85. This new price changed by −2 3 /4 % the following day. Wh

larisa86 [58]

We know that
1) Luis bought stock at ---------------> $66.80
2) The next day, the price increased $13.85--------> $66.80+$13.85=$80.65
3) This new price changed by −2 3 /4 % the following day
2 3/4%----> (2*4+3)/4----> 11/4 %----> 2.75%
so
(100%-2.75%)-----> 97.25%
the final stock price is $80.65*0.9725-----> $78.43

the answer is
$78.43

6 0

3 years ago