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2 years ago

When y=-2, what kind of line does it have horizontal or vertical

Mathematics

1 answer:

Rashid [163]2 years ago

8 0

Answer: Horizontal

Step-by-step explanation: The equation <em>y = -2</em> can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.

To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.

So we just draw a horizontal line through the y-intercept of -2.

In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.

Image provided below.

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If P(AnB)=2/3 and P(B)=3/4, what is P(A I B)? A.35/36 B.15/16 C.24/25 D.8/9

astraxan [27]

Answer:

$\large\boxed{D.\ \dfrac{8}{9}}$

Step-by-step explanation:

$\text{We know:}\\\\P(A|B)=\dfrac{P(A\ \cap\ B)}{P(B)}\\\\\text{We have:}\\\\P(A\ \cap\ B)=\dfrac{2}{3},\ P(B)=\dfrac{3}{4}.\\\\\text{Substitute:}\\\\P(A|B)=\dfrac{\frac{2}{3}}{\frac{3}{4}}=\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{2}{3}\cdot\dfrac{4}{3}=\dfrac{8}{9}$

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3 years ago

A store manager did a study to determine the amount of money the first 50 customers spent in her store. The data are approximate

MatroZZZ [7]

P(x > 35) = 1 - P(x < 35) = 1 - P[z < (35 - 29.60)/10.50] = 1 - P(z < 0.5143) = 1 - 0.6965 = 0.3035

Therefore, answer is 0.30 to the hundredths place.

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3 years ago

A duck has 1,100 feathers. It went for a swim in a pond and lost 2/100 of its feathers. How many feathers did it lose?

svetlana [45]

Answer:

It lost 22 feathers.

Step-by-step explanation:

To complete this problem, this expression will be used: 2x/100.

2(1100)/100 {Multiply 2 by 1100}

2200/100 {Simplify by cancelling out 100}

22/1 {Divide}

22 feathers were lost.

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2 years ago

A 4-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 118-ft shadow. How tall is the c

stiv31 [10]

Answer:

height of vertical post = 6ft

its shadow = 20 in

For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)

So the ratio is

4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,

and if h is the height of the cell tower,

h/122 feet = 4

h = 4 x 122 feet = 488 feet. <---------------- Final answer

Hope I helped,

-Adrian Velez

Step-by-step explanation:

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