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OLEGan [10]
3 years ago
14

Which function passes through the points (2,3) and (4,4)?

Mathematics
1 answer:
Pie3 years ago
6 0
A(2;3), B(4;4)
y=ax+b
a=\dfrac{4-3}{4-2}=\dfrac{1}{2}
3=\dfrac{1}{2}*2+b
3=1+b
b=2

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

:)
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Just need help with 2 and 4 :)
vesna_86 [32]
2.)

0 = 6x + 3y +9
-3y = 6x + 3y - 3y +9

\frac{ - 3y}{ - 3}  =  \frac{6x + 9}{ - 3}  \\  \\ y =  - 2x - 3
By isolating y we now have the equation in slope intercept form:
y = mx + b

Where m = slope and b = y- intercept. Therefore, the slope is -2 and the y - intercept is -3.

4.)

Similarly, #4 is already in slope intercept form so we can solve it by inspection. So for #4 the slope is -1 and the y - intercept is 2.
7 0
3 years ago
Solve the problem.
madreJ [45]

Answer:

9676

Step-by-step explanation:

29028 feet / 3 weeks = 9676 feet per week

6 0
3 years ago
Find all values of m so that the function y = xm is a solution of the given differential equation. (Enter your answers as a comm
blagie [28]

Answer:

m = 6,9  

Step-by-step explanation:

We are given that y = x^m is a solution to given differential equation.

x^2y'' - 14xy' + 54y = 0  

First we 3evaluate the value of:

y'' = m(m-1)x^{(m-2)}

y' = mx^{(m-1)}

Putting these value in the above differential equation, we get,

x^2m(m-1)x^{(m-2)} + 14xmx^{(m-1)} + 54x^m = 0

x^m[m(m-1) -14m + 54] = 0

x^m(m^2 - 15m + 54) = 0

(m^2 - 15m + 54) = 0

(m-9)(m-6) = 0

m = 9,6

Thus, for m = 9,6 , the function y = x^m is a solution of given differential equation.

8 0
3 years ago
Freshman geometry!!! number for please help!!
BARSIC [14]

Option C:

The perimeter of the rhombus is 100 inches.

Solution:

AC = 30 inches, BD = 40 inches

In rhombus, diagonals bisect each other at right angles.

AE = CE = 15 inches

BE = ED = 20 inches

In ΔAED, ∠E = 90°

Using Pythagorean theorem,

AD^2=AE^2 +ED^2

AD^2=15^2 +20^2

AD^2=225+400

AD^2=625

AD^2=25^2

Taking square root on both sides, we get

AD = 25 inches

In rhombus, all sides are equal in length.

AD = DC = CB = BA = 25 inches.

Perimeter = AD + DC + CB + BA

                 = 25 + 25 + 25 + 25

                 = 100 inches

The perimeter of the rhombus is 100 inches.

Option C is the correct answer.

5 0
4 years ago
A drawer contains two pairs of red socks, three pairs of yellow socks, and one pair of black socks. One sock is taken from the d
REY [17]

Answer:

C) 1/4

Step-by-step explanation:

P(Y,Y) = 3/6 x 3/6 = 1/2 x 1/2 = 1/4

6 0
3 years ago
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