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topjm [15]
3 years ago
5

Which of the following shows the graph of a line through (-2,2) and (2,4)

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0
You didn't include the options, but one and only one line passes through two poins.

You can find the equation of the line that passes through two known points in this way:

[Y -Y1] / [X -X1] = [Y2 - Y1] / [X2 -X1]

in this case (X1,Y1) = (-2,2) and (X2,Y2) = (2,4)

=> [Y - (2) ] / [X - (-2) ] = [4 - 2] / [2 - (-2) ]

=> [Y -2] / [X + 2] = 2/4 = 1/2

=> 2 * (Y - 2)  = X + 2

=> 2Y - 4 = X + 2

=> 2Y = X + 2 + 4

=> 2y = x + 6

=> y = x/2 + 3

So you must look the graph of that equation.

Some of the points of that graph are:

x         y

-6       -6/2 + 3 = 0

-4        -4/2 + 3 = 1

-2         -2/2 + 3 = 2

0           0 + 3 = 3

2           2/2 + 3 = 4

4           4/2 + 3 = 5

So, you should find the correspondant graph easily.
Sphinxa [80]3 years ago
6 0

Answer:

Attachment for graph.

Step-by-step explanation:

Given: (-2,2) and (2,4)

Two points are given and to find the equation of line passing through the points.

First we find the slope of the line.

\text{Slope }=\dfrac{4-2}{2+2}

              =\dfrac{1}{2}

Point: (2,4)

using point slope form:

y-y_1=m(x-x_1)

y-4=\dfrac{1}{2}(x-2)

y=\dfrac{1}{2}x+3

Now, we draw the graph using two given points. Plot the points on graph and join them.

Please find the attachment for graph.

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The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

5 0
3 years ago
Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas
erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters

Hence,

The length of slide is 18.36 meters

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Answer:

687

Step-by-step explanation:

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X - 2/5= 7<br> find out what x is
nalin [4]

Answer:

see below

Step-by-step explanation:

x - 2/5= 7

Add 2/5 to each side

x - 2/5 + 2/5 = 7+2/5

x = 7 2/5

or if

( x-2) /5 = 7

Multiply each side by 5

(x-2) /5 *5 = 7*5

x-2 = 35

Add 2 to each side

x-2+2 = 35+2

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8 0
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Answer:

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