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Grace [21]
3 years ago
15

Solve the given variable: -4/3h < -8/9

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
Answer: D. h > \frac{2}{3}

Solving Steps :

\frac{ - 4}{3} h < \frac{ - 8}{9}

Use the of Signs for Multiplication. Multiplying a negative and a positive equals a negative: (-) × (+) = (-)

= > - \frac{4}{3} h < \frac{ - 8}{9}
Multiply both sides of the inequality by 3/4

= > - h < - \frac{2}{3}
Change the signs on both sides of the inequality and flip the inequality sign.

= > h > \frac{2}{3}
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What is the solution to the equation below? square root 2-3x/square root 4x=2
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2 years ago
A 40 foot ladder is set against the side of a house so that it reaches up 24 feet. If Aiden grabs the ladder at its base and pul
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2 years ago
Urgent help ! similar figures use the similarity relationship to find the indicated value
masya89 [10]

Answer:

FE = 28 and YZ = 28

Step-by-step explanation:

In similar triangles the ratios of corresponding sides are equal.

(4)

\frac{BC}{FG} = \frac{BD}{FE} , substitute values

\frac{39}{4x+2} = \frac{42}{5x-2} ( cross- multiply )

39(5x - 2) = 42(4x + 2) ← distribute parenthesis on both sides

195x - 78 = 168x + 84 ( subtract 168x from both sides )

27x - 78 = 84 ( add 78 to both sides )

27x = 162 ( divide both sides by 27 )

x = 6

Thus

FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28

(5)

\frac{ST}{SZ} = \frac{RT}{YZ} , substitute values

\frac{40}{35} = \frac{3x-7}{2x+2} ( cross- multiply )

35(3x - 7) = 40(2x + 2) ← distribute parenthesis on both sides

105x - 245 = 80x + 80 ( subtract 80x from both sides )

25x - 245 = 80 ( add 245 to both sides )

25x = 325 ( divide both sides by 25 )

x = 13

Thus

YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28

5 0
3 years ago
The rationalisation factor of 2 + √3 is<br><br>step by step for BRAINLIST ​
dangina [55]

Answer:

rationalising factor wud be

2 - root3

as on multiying both and applying identity we end up

2^2 - (root3)^2

4 - 3 = 1

we got a rational number so rationalisng factor is

2 - root3

5 0
3 years ago
Average rate of change from G from x=3 to x=4 is
e-lub [12.9K]

For a function of f, the average rate of change can be found as follows:


ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}


So, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem, g is the function, so:


ARC=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}\\ \\ ARC=\frac{9-8}{4-3} \\ \\ \therefore \boxed{ARC=1}

4 0
3 years ago
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