All categories

3 years ago

Find slope in y=-5/2x-5

Mathematics

1 answer:

Tems11 [23]3 years ago

5 0

Answer:

slope = -5/2

Step-by-step explanation:

We know that slope intercept form is y=mx+b where m is the slope.

We see in the equation that -5/2 is m.

You might be interested in

Enter the number in scientific notation. 0.00153 = x 10

Korolek [52]

Answer:

15.3 x 10^-4

Step-by-step explanation:

3 0

3 years ago

If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.

Umnica [9.8K]

Answer:

Step-by-step explanation:

y=k/x

58=k/9

k=58×9

k=522

y=522/x

when x=261

y=522/261

y=2

4 0

3 years ago

Angles R and Z are complementary. If m ∠R = 26˚, what is the measure of angle Z?

zysi [14]

Answer:

Step-by-step explanation:

(note:Two angles are called complementary when their measures add to 90 degrees.)

90-26=64

5 0

3 years ago

Read 2 more answers

Help!!!!!!!!!!!!————

Annette [7]

Answer :Could you take a better photo? I dont quite understand what needs to be found there

Step-by-step explanation:

6 0

3 years ago

Determine the equation of the tangent of the hyperbola that is parallel to the given line:

marin [14]

The tangent line to the curve has slope equal to $\frac{\mathrm dy}{\mathrm dx}$ . Use implicit differentiation to find this derivative.

$9x^2-4y^2=32$

$\implies18x-16y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-18x}{-16y}=\dfrac{9x}{8y}$

The given line in slope-intercept form is

$9x+2y-1=0\implies y=\dfrac{1-9x}2$

and has slope -9/2. Any line parallel to this one has the same slope. The tangent to the hyperbola has this slope at points (x, y) such that

$-\dfrac92=\dfrac{9x}{8y}\implies x=-4y$

Find the points on the hyperbola where this condition is met.

$9(-4y)^2-4y^2=140y^2=32\implies y^2=\dfrac{32}{140}\implies y=\pm\sqrt{\dfrac8{35}}\implies x=\pm4\sqrt{\dfrac8{35}}$

Then use the point-slop formula to build the equations of these tangents:

$y\mp\sqrt{\dfrac8{35}}=-\dfrac92\left(x\pm4\sqrt{\dfrac8{35}}\right)$

8 0

3 years ago