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3 years ago

5

Graph the equations to solve the system

1 answer:

wlad13 [49]3 years ago

6 0

Answer:

This system has one solution (-1,1)

Step-by-step explanation:

The attached picture shows the solutions for the system

If we equalize the eq. obtain the following

-x=2x+3

From we obtain that x= -1

Using the first equation y=-x, we obtain that y=1

so (-1,1)

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Find in degrees the numeric value of the acute angle of rotation that eliminates the product term from the equation 7x2+24xy−34x

lutik1710 [3]

Rotating the graph of $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$ with $B\ne0$ counterclockwise by $\theta$ eliminates the $xy$ term, where $\cot2\theta=\frac{A-C}{B}.$ Plugging in, we have $\cot2\theta=\frac{7}{24},$ since $C=0.$ Solving, we have $\theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.$

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3 years ago

Which ordered pair is in the solution set of the system of linear inequalities? y >3/2 x – 1 y <3/2 x – 1 (–5, 2) (2, 2) (

Vikentia [17]

Answer:

No solution

Option 4 is correct

Step-by-step explanation:

Given: The system of inequality

$y>\dfrac{3}{2}x-1$

$y$

We need to choose correct option.

Option 1: (-5,2)

Put x=-5 and y=2

Equation 1 Equation 2

$2>\dfrac{3}{2}(-5)-1$ $2$

$2>-8.5$ $2$

TRUE FALSE

Option 2: (2,2)

Put x=2 and y=2

Equation 1 Equation 2

$2>\dfrac{3}{2}(2)-1$ $2$

$2>2$ $2$

FALSE FALSE

Option 3: (5,2)

Put x=-5 and y=2

Equation 1 Equation 2

$2>\dfrac{3}{2}(5)-1$ $2$

$2>6.5$ $2$

FALSE TRUE

Option 1, 2 and 3 are incorrect because both equation must be true for solution.

Hence, Option 4 is correct no solution.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The length of a ribbon is 3/4 meter. Sun Yi needs piece measuring 1/3 meter for an art project. What is the greatest number of P

Step2247 [10]

3/4 divided by 1/3 = 3/4 * 3/1 = 9/4 = 2 1/4 <-------reason

Sun Yi can cut out 2 pieces.

Sun Yi will have 1/4 left.

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3 years ago

Read 2 more answers

Connie collected 50 seashells during her 5-day vacation. Each day she collected 3 more than the previous day. How many seashells

vfiekz [6]

Answer:

The number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively

Step-by-step explanation:

This is a question that deals with consecutive numbers.

Let x represent the number of seashells collected on her first day.

Given that she collected 3 more each day, then

On day 2, she collected x + 3

On day 3, she collected x + 6

On day 4, she collected x + 9

On day 5, she collected x + 12

Adding up the above will give the number of sea shells collected on day 1;

i.e.

x + x + 3 + x + 6 + x + 9 + x + 12 = 50

Collect like terms

x + x + x + x + x + 3 + 6 + 9 + 12 = 50

5x + 30 = 50

5x = 50 - 30

5x = 20

Multiply ⅕ to both sides

⅕ * 5x = ⅕ * 20

x = 4.

This mean that she found 4 seashells on day 1;

Recall that day 2 = x + 3

So, day 2 = 4 + 3 = 7 seashells

day 3 = x + 6

day 3 = 4 + 6 = 10 seashells

day 4 = x + 9

day 4 = 4 + 9 = 13 seashells

day 5 = x + 12

day 5 = 4 + 13 = 16 seashells

Hence, the number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively

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3 years ago