Algebra 1- x-2y=1 find for y

Answer:   [tex]\sqrt{41}[/tex]

On a keyboard you would type sqrt(41)

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Work Shown:

[tex]\text{point L} = (x_1, y_1) = (2,-1)\\\\\text{point N} = (x_2, y_2) = (7,-5)\\\\[/tex]

[tex]d = \text{distance from L to N}\\\\d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 } \ \text{ ... distance formula}\\\\d = \sqrt{ (2-7)^2 + (-1-(-5))^2 }\\\\d = \sqrt{ (2-7)^2 + (-1+5)^2 }\\\\d = \sqrt{ (-5)^2 + (4)^2 }\\\\d = \sqrt{ 25 + 16 }\\\\d = \sqrt{ 41 }\\\\[/tex]

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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.

The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.

The distance formula is an altered version of the Pythagorean theorem.

Answer:

The distance between the two points provided is: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

First thing is to evaluate what the distance formula is:

d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

Then substitute the points provided:

d = [tex]\sqrt{(7-2)^{2}+(-5-(-1)^{2} }[/tex]

(The double negative between -5 and -1 will make the -1 a positive 1). (1)

d = [tex]\sqrt{(5)^{2}+(6)^{2} }[/tex]

Now the exponents:

d = [tex]\sqrt{25+36}[/tex]

Second to last, you must add:

d = [tex]\sqrt{41}[/tex]

If needed ± should be added in front of the radical.

The points are the same as the ones that were given.

Answer:

9/2 and mixed number: 4 1/2

Step-by-step explanation:

Answer:

I hope this helps!

Answer:

About 404.4444444445

Step-by-step explanation:

Answer:

404 miles per state

Step-by-step explanation:

First, let's write an equation.

For every 9 states, they covered 3640 miles. So our equation would look like this:

9s=3640 (s= number of states)

Second, let's get s by itself. To do this, divide 9 on both sides/

s=404.44444....

The constant of proportionality is 0.2

The constant of proportionality for Josiah's speed is 0.2 miles per minute.

To find the constant of proportionality, we can use the formula:

constant of proportionality = distance / time

In this case, we have the distance Josiah skateboards from his house to school is 4 miles, and it takes him 20 minutes.

So, the constant of proportionality is:

4 miles / 20 minutes = 0.2 miles/minute

Therefore, the constant of proportionality for Josiah's speed is 0.2 miles per minute. This means that he skateboards at a constant rate of 0.2 miles per minute from his house to school.

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Answer:

x= -3, x=-5

Step-by-step explanation:

Answer:

x = -3 or -5

Step-by-step explanation:

This is a quadratic equation, meaning that the solutions (x-values) will occur when the parabola intersects the x-axis

For now, all you have to do is isolate each mini expression, because you can divide each side by either parenthesis (since it's multiplication)

(x+5)(x+3) = 0                                          (x+5)(x+3) = 0

divide by (x+5)                                         divide by (x+3)

x+3 = 0                                                        x+5 = 0

subtract 3                                                 subtract 5

x = -3                                                           x = -5

Keep in mind that the parabola intersects the axis at BOTH (-3, 0) and (-5, 0)

Therefore, both answers (must be together unless question says otherwise) can be the value of x

x = -3 OR -5

Answer: (x - 2)(3x - 5)

Step-by-step explanation:

I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)

the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.

Answer:

1.0 x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

1.0*10^-6!!!

Step-by-step explanation:

Answer:

Please find the answer in the explanation.

Step-by-step explanation:

Given that Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches. 

If Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes, one of them must be right.

Since Volume = L × B × h

Substitute the volume value and the length into the formula to know the area of the box. This must be in whole number and not in decimal number.

Area = 2600 / 40

Area = 65 square inches. For Claire.

Then for Lucy, we get:

Area = 2600 / 45

Area = 57.7778 square inches

We can therefore conclude that Claire is correct.

Answer:

654321

Step-by-step explanation:

pretty sure it’s D

hope that helps

Answer: 63.5 alt/min

Step-by-step explanation: 1,524/24.

The change in altitude per minute is 63.5 alt/ min

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

In 24 minutes = 1524 feet

So, the average Change in altitude per minute

=1524/24

= 63.5 alt/ min

hence, change in altitude per minute is 63.5 alt/ min.

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Answer:

15

Step-by-step explanation:

First, you must distribute 5 to (x + 3)

5(x + 3) - 5x

5x + 15 - 5x

5x - 5x +15

(You can typically say 0x + 15, as a representation to show there are no more x values, but it is bet not to show any if there are none left)

(5x - 5x will cancel out, leaving only 15)

= 15

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

The standard form of a linear equation is

Ax+By=C,A,B≠0Ax+By=C,A,B≠0

Before you can graph a linear equation in its standard form you first have to solve the equation for y.

2y−4x=82y−4x=8

2y−4x+4x=8+4x2y−4x+4x=8+4x

2y=4x+82y=4x+8

2y2=4x2+822y2=4x2+82

y=2x+4

(-1, -7), (3/4, 0),(1,1),(2,5) are the  points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

Two or more expressions with an Equal sign is called as Equation.

The given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

For (-1,-7)

4(-1)-(-7)=3

3=3

So the point (-1, -7) lie on the line.

(0,3)

4(0)-3=3

-3=3

the point (0,3) does not lie on the line.

For point (3/4, 0)

4(3/4)-0=3

3=3

the point (3/4,0)  lie on the line.

For point (1,1)

4-1=3

3=3

The point (1,1) lie on the line.

For point (2,5)

8-5=3

3=3

The point (2,5) lie on the line.

For point (4,-1)

16+1=3

17=3

For point (4,-1) does not lie on the line.

Hence, (-1, -7), (3/4, 0),(1,1),(2,5) are the  points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

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Answer:

The two triangles are not similar

Step-by-step explanation:

Similar triangles have equal corresponding angles and proportion sides

Ex: If Δ ABC is similar to ΔXYZ, then

In the given question

∵ One triangle has angles that measure 45° and 83°

→ Find the measure of the 3rd angle

∵ The sum of the measures of the angles of a triangle is 180°

∴ The measure of the 3rd angle = 180° - 45° - 83°

∴ The measure of the 3rd angle = 52°

∴ The measures of the angles of this triangle are 45°, 83°, 52°

∵ Another triangle has angles that measure 45° and 42°

→ Find the measure of the 3rd angle

∴ The measure of the 3rd angle = 180° - 45° - 42°

∴ The measure of the 3rd angle = 93°

∴ The measures of the angles of this triangle are 45°, 93°, 42°

∵ The two triangles have different measures of 2 angles

→ That means their corresponding angles are not equal

∴ The two triangles are not similar

Answer: 5 is rational because it can be a fraction or ratio.

Answer:

√5 Unlike √9, you cannot simplify √5 .

Step-by-step explanation:

Answer: 2x+y=20 (A)

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

the answer is 42

Step-by-step explanation:

becuase in decimal 5.25 divided by .125 is 42

Answer: y=20x+45

Step-by-step explanation:

y=total cost to hire the organizer

x=number of hours you are hiring the organizer

Answer:

7. 69

Step-by-step explanation:

6x+3(x-7) when x=10

6(10)+3(10)-21

60+30-21

90-21

69

Answer: (7.) the answer is 69

Step-by-step explanation:

The best way to remember this is PEMDAS ("Please Excuse My Dear Aunt Sally)

Parenthesis, Exponent , Multiplication, Division, Addition, Subtraction (this is the order that you should work your problem)

6x+3(x-7) lets see where there is a parenthesis first (x-7), we're going to plug in 10 where x is listed >> (10-7)= 3

The problem now reads 6x+3(3)

We do not have exponents, so we move to see if there is multiplication

6x>> we're going to replace x with 10 to read 6*10 = 60

The other multiplication is 3(3) which =  9

your problem now reads : 60+9

There are no division so we move to Addition

60+9= 69

There are no subtractions so you are now done with your problem and left with the answer 69

Answer:

[tex]5 > x \leq 9[/tex]

Step-by-step explanation:

It would be [tex]5 > x \leq 9[/tex]. The reason why, is because according to graph, there is a open circle (open circle signifies as [tex]<[/tex] or [tex]>[/tex], depending on what sign) on [tex]5[/tex], pointing to the right side of the number line and there is a closed circle (closed circle signifies as [tex]\leq[/tex] or [tex]\geq[/tex], depending on what sign) on [tex]9[/tex] pointing to the left side of the number line.

Answer:

5

Step-by-step explanation:

7-2=5

Answer:

5

Step-by-step explanation:

7 + q if q = -2

7 + (-2)

7 - 2  

 5

Answer:

23,24,26,27 sorry if you get it wrong

Answer:

49/100

Step-by-step explanation:

Answer:

49/100

Step-by-step explanation: .49 you imagine that the decimal is a 1 and the numbers after it are 0's so there are 2 digits so 100

Answer:

z=28

Step-by-step explanation:

first, add one to each side to eliminate the negative one. you'll get:

7= [tex]\frac{1}{4}[/tex]z

now, to get rid of the 1/4, multiply both sides by 4.

(7x4)=(1/4z)4

simplify to get 28=z.

hope this helps!

the correct answer is  z=28

Answer:

$35

Step-by-step explanation:

50 * 30% = 15$ discount

50 - 15 = 35$ cost

30% discount is additional so based off sales price

Answer:

7.04?

Just multiply 3.52 by two...