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2 years ago

What is the value of h?

Mathematics

2 answers:

hoa [83]2 years ago

7 0

This is a 45-45-90 special right triangle, the hypotenuse is √2 times the leg. (the two legs are equal.) so the answer is 8√2

Naya [18.7K]2 years ago

5 0

Answer:

1.D 2.C 3.A 4.A 5.C 6.B, Connections Special Right Triangles Practice.

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

2 years ago

Read 2 more answers

Solve z=9/13 c for c

andreev551 [17]

Answer:

3x-x+2=4 :)

Step-by-step explanation:

Hope this helped! :3

4 0

2 years ago

Find the product of this please thank you

iVinArrow [24]

You combine the like terms to get
2s^2y^2-4a^2sy+2a^4

7 0

3 years ago

Select the expressions that are equivalent to 8(6m).

Bas_tet [7]

$\textsf{Hey there!}$

$\text{Select the expressions that are equicalent to 8(6m)}\downarrow$

$\text{We DON'T have any like terms so we CAN'T pair them off!}$

$\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

4 0

2 years ago

Marrrta [24]

Answer:

Susan is riding her bike. The distance she travels varies directly with the number of revolutions (turns) her wheels make. See the graph below.

8 0

2 years ago