All categories

2 years ago

(3,-5) (-1,5) you have to find the slope

Mathematics

1 answer:

nirvana33 [79]2 years ago

3 0

Answer:

Hope this helps!

Step-by-step explanation:

Slope = 5/-2

Slope (m) =

ΔY

ΔX

-2

= -2.5

θ =

arctan( ΔY ) + 180°

ΔX

= 111.80140948635°

ΔX = -1 – 3 = -4

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -2.5x + 2.5

y =

- 5 x

+ 5

When x=0, y = 2.5

When y=0, x = 1

You might be interested in

Diameter = 18 cm

miskamm [114]

Answer: B. 254.34 cm^2

Step-by-step explanation:

The area of a circle is pi times the radius squared.

Using the diameter we have to find the radius.

The diameter is two times the radius meaning that the radius is half the diameter.

18/ 2 = 9

The radius will be 9 cm

Now using the formula v= pi * r^2 , input the value for pie and the radius and solve for v the volume

v = 3.14 * 9^2

v= 3.14 * 81

v = 254.34 cm^2

7 0

2 years ago

Read 2 more answers

You weigh six packages and find the weights to be 34, 24, 74, 29, 69, and 64 ounces. If you include a package that weighs 154 ou

saw5 [17]

Answer:

C. the mean increases more

Step-by-step explanation:

the mean is more affected by outliers because it is an average of all the numbers.

7 0

2 years ago

Read 2 more answers

What goes in the question marks?

IgorC [24]

By using the properties of parallel lines, it can be inferred that -

Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.

What are parallel lines?

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal is a line that intersects two or more parallel lines

For the first question mark

$\angle ASR \cong \angle AVU$ [Corrosponding angle]

For the second question mark

$m\angle AVU = 90^{\circ}$ [Substitution property of equality]

To learn more about parallel lines, refer to the link-

brainly.com/question/26961508

#SPJ1

5 0

7 months ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

2 years ago

Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h

mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321

Number of data values = 9

Mean : $\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}$

$\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56$

Variance = $\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}$

$\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224$

Variance = $\dfrac{27394.2224}{8}=3424.2775\approx3424.28$

4 0

2 years ago