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LenaWriter [7]
3 years ago
13

What steps can be used to solve the equation a +8 = - 5/a​

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

times by a on both sides

a(a+8)= -5

expand brackets

a^2 + 8a = -5

minus 5 on both sides to set equal to 0

a^2 + 8a -5 = 0

use quadratic formula to get 2 solutions

-

\frac{ - (8) + or -  \sqrt{ {8}^{2} - 4(1)(5) } }{2(1)}

type into calculator. one solution from + other from -

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How many degrees does the minute hand of a clock turn in 15 minutes ​
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Point B has coordinates ​(4,1). The​ x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a
klasskru [66]

Given:

Point B has coordinates ​(4,1).

The​ x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point​ A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The distance between point A and point B is 10 units.

\sqrt{(4-(-4))^2+(1-y)^2}=10

Taking square on both sides, we get

(8)^2+(1-y)^2=100

(1-y)^2=100-64

(1-y)^2=36

Taking square root on both sides, we get

(1-y)=\pm \sqrt{36}

-y=\pm 6-1

y=1\mp 6

y=1-6 and y=1+6

y=-5 and y=7

Therefore, the possible coordinates of point​ A are either (-4,-5) or (-4,7).

7 0
3 years ago
Emma starts at one end of a 45-mile-long bike trail. After
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Answer:

She has already reached the end of the trail.

Step-by-step explanation:

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According to data from the United States Elections Project, only 38 percent of eligible voters voted in the 2014 elections. For
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