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swat32
3 years ago
6

3. In a group of students of them are Science Club members and the rest are Mathematic

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

There are six boys in math club

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How do I write this in Point Slope, Slope-Intercept, and in Standard form. Thanks for the help!
AnnZ [28]
Point slope form: y - y1 = m (x - x1)
-------------------------------------------------

first you need to find the slope(m) by using the slope formula (seen below)

y2 - y1
m= ---------
x2 - x1


9 - 15
m= ---------
1 - (-2)


-6
m= --------- = -2
3

then choose either one of the coordinates you'd like and plug it in.

Im gonna use (-2, 15)

(y - 15) = -2 (x - (-2))
or
(y - 15) = -2 (x + 2)

slope intercept form: y = mx + b
-----------------------------------------------

you can use the slope formula to find that the slope(m) is -2

y = -2x + b

you can then plug in a coordinate to find b (the y-intercept)

I'll use (-2,15)

15 = -2(-2) +b
15 = 4 + b
-4 -4
---------
11 = b

in conclusion:

the slope(m) = -2

when (-2,15) is used
x = -2
y = 15
b = 11


standard form: ax + by = c
----------------------------------------

using the same coordinate (-2,15)


-2a + 15b = c
6 0
3 years ago
A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?
faltersainse [42]

Answer:

Hypotenuse≈12.21

Step-by-step explanation:

\sqrt{7^{2} +10^{2} }   ≈12.21

to calculate this you would need to find the square root of the first leg squared added to the second leg squared.

the hypotenuse is the longest side of the triangle

8 0
3 years ago
In a school, there is a ratio of 4 boys to 5 girls. If there are a total of 450 students, how many girls are there? *
denpristay [2]

Answer: there are 200 girls in the school.

Step-by-step explanation:

In a school, there is a ratio of 4 boys to 5 girls. The total ratio would be the sum of the proportion of boys and the proportion of girls. Therefore,

Total ratio = 4 + 5 = 9

If there are a total of 450 students, it means that the number of girls in the school would be

Proportion of girls/ total ratio × total number of students. Therefore,

The number of girls is

5/9 × 450 = 200

7 0
4 years ago
Simplify | (27x – 45) - (4x – 9).<br> Write your answer in factored form.<br> HELP MEEEEEEEE
oksian1 [2.3K]

Answer:

Step-by-step explanation:

27x - 45 - 4x + 9

23x - 36

7 0
3 years ago
NEED HELP ASAP !!!<br><br> Simplify: √16r<br> O 47²<br> O 473<br> 87²<br> O 8-3
Vlad1618 [11]

Answer:

4 r^3

Step-by-step explanation:

sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3

6 0
2 years ago
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