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2 years ago

What is the slope of the line in the graph?

Mathematics

1 answer:

alexandr1967 [171]2 years ago

6 0

Answer:

$slope = \frac{(y - y)}{x -x} \\ = \frac{1 - 0}{0 + 1} =1 \\ you \: take \: two \: points \: a(0)(1) \\ b( - 1)(0) \\ then \: the \: slope \: is \: 1$

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Jarvis left out a statement from the proof shown.which statement is best explained by the corresponding angles postulate

Salsk061 [2.6K]

The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.

Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.

The answer is: ∠1 and ∠3 are congruent (See the image attached).

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3 years ago

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If it is April, then there are 30 days in the month.

dimaraw [331]

Answer:

Step-by-step explanation:

It does not have to be April if there are 30 days. If its not April, it can still have 30 days. April does have 30 days.

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3 years ago

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

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3 years ago

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are

shtirl [24]

Answer:

Step-by-step explanation:

(x - 3)/2= 1

x - 3 = 2

x = 5

(y - 8)/2 = -2

y - 8 = -4

y = 4

(5, 4) coordinates for B

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3 years ago

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of

harkovskaia [24]

Let A(4,12) and B(6,18)

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m= 6/2 or m = 3

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3 years ago

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