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AlexFokin [52]
2 years ago
13

Find an equation for the line below.

Mathematics
1 answer:
Nuetrik [128]2 years ago
7 0

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b <em>(</em><em>1</em><em>)</em><em> </em>

and

5 = -2a + b <em>(</em><em>2</em><em>)</em>

<em>(</em><em>1</em><em>)</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em>

2a + 2b = 0

a = -b

<em>(</em><em>1</em><em>)</em><em> </em>-5 = 4a - a

-5 = 3a

a = -5/3

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u>

f(x) = -5/3x + 5/3

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How many solutions does this system have?<br> 3<br> y = x-5<br> -3x+4y=-20
DaniilM [7]

Answer:

x=0 and y=-5

Step-by-step explanation:

hope this helps!

6 0
3 years ago
Suppose that P(A)=0.5, P(B)= 0.4 and P(B/A) =0.6. Find each of the following.
Lady_Fox [76]

Part (a)

P(A) = 0.5

P(B) = 0.4

P(B/A) = 0.6

P(A and B) = P(A)*P(B/A)

P(A and B) = 0.5*0.6

P(A and B) = 0.3

<h3>Answer: 0.3</h3>

==========================================

Part (b)

We'll use the result from part (a)

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.3

P(A or B) = 0.6

<h3>Answer: 0.6</h3>

===========================================

Part (c)

A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).

Events A and B are not mutually exclusive since P(A or B) is not zero.

<h3>Answer: Neither</h3>
7 0
3 years ago
Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5). brainly
forsale [732]
Since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.

When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis. 

short version: distance is positive, and its adding the distances from the x axis to get distance from each other
8 0
3 years ago
Read 2 more answers
Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL
kobusy [5.1K]
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.

The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
   h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
   V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³


The volume of the hemispherical part of the figure is given by
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Then the total volume of the figure is
   V = (volume of conical part) + (volume of hemispherical part)
   V = (100π√115)/3 in³ + 2000π/3 in³
   V = (100π/3)(20 + √115) in³
   V ≈ 3217.39 in³
4 0
3 years ago
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AleksAgata [21]
2 divided by 1/4 is 8
4 0
2 years ago
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