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Alexxx [7]
3 years ago
6

Solve |x-6|+8=17. A. x=-15 and x=3 B. x=15 and x=-15 C. x=15 and x=-3 D. x=-15 and x=-3

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

Answer:

A. x=-15 and x=3

Step-by-step explanation:

|x+6|+8=17

|x+6|=9

-1(x+6)=9   x+6=9

-x-6=9      x=3

-x=15

x=-15

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Its basically just subtracting from one another

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5 0
3 years ago
You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y
Alona [7]

Answer:

25

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

3 0
3 years ago
In a game, if you roll a 5 on a 6-sided number cube, you lose a turn. What is the probability that you roll a 5? Explain your re
WITCHER [35]
The probability of you rolling a 5 would be 1/6 since the cube has 6 sides and only one of the sides has a 5.

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Hope that helped!

3 0
3 years ago
Please answer 2 and 3 !!
Usimov [2.4K]

(2) So we know Ethan uses 1/4 cup of milk for his cake. And if he needs to make 3 times the amount of 1 cake, he'll make 3 cakes today. So we multiply the amount of cakes (3) by the amount of milk needed (1/4)

3 * 1/4 = 3/4

Ethan will need 3/4 cups of milk.

(3) We know Isabella need's 2/5 of a gallon of the food to make 1 gallon.

She want's to make 5 gallons, so like the other problem, we multiply the amount of gallons (5) by the amount of food needed (2/5):

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6 0
3 years ago
Y= -1/2x-3 <br> Plot the x- and y-intercepts to graph the equation.
viva [34]

Answer:

Graph is attached below

Step-by-step explanation:

Intercepts are values of x and y at which the graph of the function intersects coordinate axis.

Given equation,

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y = 0,

\implies 0 =-\frac{1}{2}x - 3

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Thus, x-intercept is at (-6, 0)  

For y-intercept,

x = 0,

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Thus, y-intercept is at  (0, -3)

Now, join these two points to show the line in coordinate plane.

8 0
3 years ago
Read 2 more answers
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