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djverab [1.8K]
3 years ago
15

What is the solution of StartFraction negative 8 Over 2 y minus 8 EndFraction = StartFraction 5 Over y + 4 EndFraction minus Sta

rtFraction 7 y + 8 Over y squared minus 16 EndFraction? Y = –4 y = –2 y = 4 y = 6
Mathematics
2 answers:
love history [14]3 years ago
8 0

Answer:

the answer is D

Step-by-step explanation:

antiseptic1488 [7]3 years ago
6 0

Answer:

  y = 6

Step-by-step explanation:

  \dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16} \quad\text{given}\\\\\dfrac{-4(y+4)}{y^2-16}=\dfrac{5(y-4)}{y^2-16}-\dfrac{7y+8}{y^2-16} \quad\text{use common denominator}\\\\-4y-16=5y-20-7y-8 \quad\text{multiply by that denominator}\\\\12=2y \quad\text{add 4y+28}\\\\6=y \quad\text{divide by 2}

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Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

6 0
3 years ago
A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x
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The first one is 1.12867 because you need to set it up like this.
4=3.14(x)squared
4/3.14=x(squared)
x=1.12867

The second one is done simply by multiplying it out.
A=3.14(3x)squared
A=3.14(9x[squared])
A=28.26x[squared]        -The squared is referring to the x.
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3 years ago
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Alex17521 [72]

Answer:

first option is the correct answer

Step-by-step explanation:

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3 years ago
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ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of
Norma-Jean [14]

Answer:

b=9

x=5.5

Step-by-step explanation:

find the common ration

AB is 6, and XY is 3 (they are the corresponding sides)

ratio is 2 to 1 (6/3=2/1)

AC corresponds with YZ

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4 0
3 years ago
Find the x- and y- intercepts of parabola y=5x^2-16x+10
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Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

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2 years ago
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