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Marrrta [24]
3 years ago
13

Write two addition sentences where the sum is positive in each sentence ,one addened

Mathematics
1 answer:
Anna [14]3 years ago
5 0
10 + (-5) = 10 - 5 = 5

-11 + 20 = 20 + (-11) = 20 - 11 = 9

102 + (-1) = 102 - 1 = 101

<span>-20 + 60 = 60 + (-20) = 60 - 20 = 40</span>
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Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55

General equation of hyperbola is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1

Hence, this is the required solution.

3 0
3 years ago
The vértices of a figure are given.
tatyana61 [14]

Answer:

  R''(2, 1), S''(-1, 7), T''(2, 7)

Step-by-step explanation:

Rotation 90° CCW is accomplished by the transformation ...

  (x, y) ⇒ (-y, x)

Translation 3 left and 8 up is accomplished by the transformation ...

  (x, y) ⇒ (x -3, y +8)

Together, the two transformations give ...

  (x, y) ⇒ (-y -3, x +8)

So your transformed points are ...

  R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)

  S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)

  T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)

8 0
3 years ago
PLEASE PLEASE PLEASE HELP! WILL GET ZERO!!
ASHA 777 [7]
Median, upper quartile, and maximum are all incorrect
5 0
3 years ago
Each week, a cook purchases 12 pounds of butter. During the last year, the cook has paid as little as $23.04 and at much as $29.
Tatiana [17]

Each week, a cook purchased 12 LBS. of Butter:

During the Last year:  (12 Months):

Cook Paid:

Little:   $23.04

Much:  $29.40, For Butter he or she purchased in a week:

Question: is: what is the Difference between, the Greatest price per pound, and the least price per pound of butter the cook paid within the last year?


EQUATION:

Least Paid / 12  =====>  23.04 /12

Most Paid / 12  ======>    29.40 / 12



Divide:

23.04 / 12    =     1.92 / LB

29.40 / 12     =     2.45 / LB

Now Subtract:

2.45   -     1.92

Answer   ======>    0.53 is the difference, between the greatest price per round, and least price per round of butter the cook would have paid within the last year.






Hope that helps!!!                                : )

4 0
3 years ago
Solve for x.<br> X-4 = 8<br> *<br> 3
Grace [21]

Answer:

The answer is X=28.

5 0
3 years ago
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