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Salsk061 [2.6K]
3 years ago
6

5+10/x=x+8 Solve the equation with steps

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

2 and -5

Step-by-step explanation:

5+\dfrac{10}{x}=x+8 \\\\\\-3+\dfrac{10}{x}=x \\\\\\-3x+10=x^2 \\\\\\x^2+3x-10=0 \\\\\\(x+5)(x-2)=0 \\\\\\x=2,-5

Hope this helps!

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Which function represents the graph of h(x)=2∣∣x+3∣∣−1h(x)=2|x+3|−1 after it is translated 2 units right?
frosja888 [35]
C because i learned it from xxxx xxx
6 0
3 years ago
Use Quadratic Formula<br> 2x2 + 10x = -11<br> hth24
bekas [8.4K]

Answer:

Step-by-step explanation:

6 0
3 years ago
Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.
polet [3.4K]

Answer:

Area =55.4ft^2

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

\tan(60) = \frac{4\sqrt 3}{x}

Solve for x

x = \frac{4\sqrt 3}{\tan(60)}

\tan(60) = \sqrt 3

So:

x = \frac{4\sqrt 3}{\sqrt 3}

x = 4

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

Base = 4\sqrt 3

Height = 4

So, the area of the rhombus is 4 times the area of 1 triangle

Area = 4 * \frac{1}{2} * Base * Height

Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4

Area =2 * 4\sqrt 3 * 4

Area =55.4ft^2

7 0
3 years ago
Answer quickly please
KIM [24]

The correct answer is C.


You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.


f(x) = x^4 + x^3 - 2x^2


Since each term has at least x^2, we can factor it out.


f(x) = x^2(x^2 + x - 2)


Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.


f(x) = x^2(x + 2)(x - 1)


Now we can also separate the x^2 into 2 x's.


f(x) = (x)(x)(x + 2)(x - 1)


To find the zeros, we need to set them all equal to 0


x = 0


x = 0


x + 2 = 0

x = -2


x - 1 = 0

x = 1


Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.

4 0
3 years ago
Read 2 more answers
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 4 units right and 3 units down. Which rule rep
Andrew [12]

Answer:

A = (1, 1)

Step-by-step explanation:

All of the coordinates are moved 3 down and 4 to the right which makes A equal (1, 1)

6 0
2 years ago
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