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Nitella [24]
3 years ago
14

Find the ordered pairs for x and y intercepts of the equation 3x - 2y =18

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
                  
                                                           3x - 2y = 18
Wherever the line crosses the
x-axis, y=0.                                         3x        = 18
                                                             x        =  6
The x-intercept is                                    (6, 0)  .


                                                           3x - 2y = 18
Wherever the line crosses the
y-axis,  x=0.                                            - 2y = 18
                                                                   y = -9
The y-intercept is                                        (0, -9)  .

pishuonlain [190]3 years ago
4 0
X= (6,0) and the y= (0,-9)
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Make a bar graph about the length of letters in an animal's name
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3 years ago
In the figure above, what is the area of triangle QRS?
Vlad [161]

Answer:

D) 20.

Step-by-step explanation:

First find the value of x using Pythagoras theorem:

10^2 = x^2 + (2x)^2

5x^2 = 100

x^2 = 20

x = √20

  = 2√5.

So the area of triangle

= 1/2 * base * height

= 1/2 * 2x * x

=  x^2

=  (2√5)^2

=  20.

6 0
2 years ago
Please help me hurry please
aalyn [17]

Answer:

y = root under 24 (evaluate it if necessary)

or y = 2 root 6

Step-by-step explanation:

Let the reference angle be x

for the triangle in left,

b = 6-4 = 2

Now,

taking x as refrence angle,

cosx = b/h

or, cosx = 2/h

again,

for the bigger triangle,

taking x as reference angle,

cosx = b/h

or, cosx = b/6

As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,

Let's suppose its a

so, cosx = a/6 = 2/a

now,

a/6 = 2/a

or, a² = 12

now,

for bigger triangle, using pythagoras theorem,

h² = p²+b²

or, 6² = y² + a²

or, 36 = y² + 12

or, y² = 24

so, y = root under 24

5 0
2 years ago
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
The simplest from ratio for 27/45
Tems11 [23]
Both 27 and 45 have the greatest common factor of 9, so divide the numerator and the denominator by 9 to get the simplest form.
27/45 = 3/5
3/5 is the simplest ratio
3 0
3 years ago
Read 2 more answers
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