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ICE Princess25 [194]
3 years ago
12

one possible combination of homeroom groups is 18 groups of 10 students and 5 groups of 12 students. which equation uses the x =

10 students and y=12 students, combination to represent the situation in point- slope form? is the answer y-18 =-5/6 (× - 5) ,y- 5 = - 5/6 (× -18) ,y +5 =-5/6 (× +18) or y+18= -5/6 (× +5)​
Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

Answer: y - 5 = -5/6 (x - 18)

Step-by-step explanation:

The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.

Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).

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Find the value of x.<br><br> X=
givi [52]

Answer:

x = 65

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 115 = 180 ( subtract 115 from both sides )

x = 65

5 0
2 years ago
Please help ASAP need answers thank you
wlad13 [49]

Similar triangles

x/3 = (9+3)/x

x/3 = 12/x

x^2 = 3 * 12

x^2 = 36

x = 6

Answer

6

6 0
3 years ago
What is the solution of the system?
evablogger [386]
Subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
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therefor infinite soltions for y


there are an infinite number of solutions
8 0
3 years ago
Consider function f.
tekilochka [14]

Given:

The function is:

f(x)=\sqrt{7x-21}

To find:

The steps of finding the inverse function f^{-1}(x).

Solution:

We have,

f(x)=\sqrt{7x-21}

The steps of finding the inverse function are:

Step 1: Substitute f(x)=y.

y=\sqrt{7x-21}

Step 2: Interchange x and y.

x=\sqrt{7y-21}

Step 3: Taking square on both sides, we get

x^2=7y-21

Step 4: Adding 21 on both sides, we get

x^2+21=7y

Step 5: Divide both sides by 7.

\dfrac{1}{7}x^2+3=y

Step 6: Substitute y=f^{-1}(x).

\dfrac{1}{7}x^2+3=f^{-1}(x), where x\geq 0.

Therefore, the inverse of the given function is f^{-1}(x)=\dfrac{1}{7}x^2+3 and the arrangement of steps is shown above.

7 0
3 years ago
Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an
alisha [4.7K]

Answer:

\sin \theta=-\frac{4}{5}

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
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