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3 years ago

What is the slope of the line that passes through the points (-8,-1) and (-12,-2) ?

Mathematics

2 answers:

kramer3 years ago

4 0

Answer:

1/3

Step-by-step explanation:

To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.

-2 - -1 = -1

-12 - -8= -3

-1/-3 = 1/3

Nata [24]3 years ago

4 0

Answer:

the answer is 4/1. Or just 4.

Step-by-step explanation:

-8-(-12) is -8+12=4. Then -1-(-2) is -1+2=1.

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2 years ago

Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval

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3 years ago

Read 2 more answers

Two liters of water are poured into an empty vase shaped like an octagonal prism. The base area is 100 square centimeters. What

Molodets [167]

Answer: Height of the water is 20 cm.

Step-by-step explanation:

Since we have given that

Base area = 100 square cm

volume of vase shaped like an octogonal prism = 2 liters

We need to find the height of water.

and 1 liter = 1000 cm³

2 liters = 2×1000 cm³

As we know the formula for "Volume":

$Volume=\text{Base Area}\times height\\\\2\times 1000=100\times height\\\\height=\dfrac{2000}{100}\\\\height=20\ cm$

Hence, height of the water is 20 cm.

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3 years ago

Where are the minimum and maximum values for f(x) = -2 + 4 cos x on the interval (0,21]?

Dafna11 [192]

Answer:

Step-by-step explanation:

Maximum value is when cos x = 1

So it is -2 + 4(1) = 2.

Minimum value, when cos x = -1:

= -2 + 4(-1) = -6.

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3 years ago

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Con

mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago