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Citrus2011 [14]

3 years ago

14

Equations with fractions that equal 12

1 answer:

svlad2 [7]3 years ago

4 0

12/1 or 24/2 36/3 etc.

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Please please help me please help now please please help and show your steps help NOW PLEASE please help

Furkat [3]

Answer:

$x=3, y=-1$

Step-by-step explanation:

We know that $lcm(7, 2)=14$ , so we need to multiply equation $1$ by $2$ .

This gives $2(4x-7y)=2(19)$ , which simplifies to $8x-14y=38$ .

We know that $lcm(2, 7)=14$ , so we need to multiply equation $2$ by $7$ .

This gives $7(3x-2y)=7(11)$ , which simplifies to $21x-14y=77$ .

Aha! Now we have a path to the solution!

We can subtract the first equation from the second to eliminate $y$ .

This gives $(21x-14y)-(8x-14y)=(77)-(38)$ , which simplifies to $13x=39$ .

We can then divide by $3$ to obtain $x=3$ !

Then, we plug $x=3$ into the second equation to get $3(3)-2y=11$ .

We can subtract $9$ from both sides to get $-2y=2$ .

We then divide by $-2$ to obtain $y=-1$ .

So, $x=3$ and $y=-1$ , and we're done!

3 0

3 years ago

The graph of a sinusoidal function has a minimum point at (0, - 10) and then has a maximum point at (2, - 4) Write the formula o

AleksAgata [21]

Answer: $\bold{y=3sin\bigg(\dfrac{\pi}{2}x-\dfrac{\pi}{2}\bigg)-7}$

<u>Step-by-step explanation:</u>

Minimum: (0, -10)

Maximum: (2, -4)

y = A sin (Bx - C) + D

Amplitude (A) = (Max - Min)/2
Period = 2π/B → B = 2π/Period
Phase Shift = C/B → C = B × Phase Shift
Midline (D) = (Max + Min)/2

$A=\dfrac{-4-(-10)}{2}\quad =\dfrac{-4+10}{2}\quad =\dfrac{6}{2}\quad =\large\boxed{3}$

$\text{x-value of Max minus x-value of Min}= \dfrac{1}{2}\text{Period}\\\\2 - 0 = \dfrac{1}{2}P\quad \rightarrow \quad P=4\\\\\\B=\dfrac{2\pi}{P}\quad =\dfrac{2\pi}{4}\quad =\large\boxed{\dfrac{\pi}{2}}\\$

$D = \dfrac{\text{Max + Min}}{2}\quad = \dfrac{-4+(-10)}{2}\quad =\dfrac{-14}{2}\quad =\large\boxed{-7}$

Sin usually starts at (0, 0). For this graph, the midline touches 0 when x = 1 so the Phase Shift = 1.

$C = B \times \text{Phase Shift}\quad = \dfrac{\pi}{2}\times 1\quad =\large\boxed{\dfrac{\pi}{2}}$

$A=3, \quad B=\dfrac{\pi}{2}, \quad C=\dfrac{\pi}{2},\quad D=-7\\\\\rightarrow \quad \large\boxed{y=3\sin \bigg(\dfrac{\pi}{2}x-\dfrac{\pi}{2}\bigg)-7}$

3 0

3 years ago

Draw a parallelogram with a base of 3cm and a height of 7cm and shiw howto calculate its area

tia_tia [17]

Answer:

a parallelogram is a rectangle so the sides are 3cm and the other two are 7cm

Step-by-step explanation:

how to calculate the area is u multiply 7 by three and there is your answer

3 0

3 years ago

The formula for the perimeter, P, of a rectangle is P = 2(1 + w),

gtnhenbr [62]

Answer:
You he length of the rectangle is:
155 cm

8 0

2 years ago

Read 2 more answers

Out of 300 students surveyed 17 have a dog predict how many of the 300 in school have a dog

Over [174]

Answer:

17/300.

Step-by-step explanation:

17/300 students have a dog.

8 0

3 years ago

Read 2 more answers