Which expression represents the positive solution of x ^ 2 = 8?

The new point after rotation of point  (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given,

Point A =  (-7, -3)

Let's say after rotation this point moves to a new coordinate (x, y) which is point B

Let's say the origin is O

Slope of line segment AO = (-3-0)/(-7-0) = 3/7

Slope of line segment BO = (y - 0)/(x - 0) = y/x

Now,

Since both lines are perpendicular to each other so

Slope AO × Slope BO = -1

3/7 × y/x = -1 ⇒ 3y = -7x

Now if we observe the result then it will be clear that if we put x = 3 than y = -7 will be the new coordinate.

Hence, The new point after rotation of point  (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

For more about coordinates

brainly.com/question/7869125

#SPJ2

Answer:

The error is  -12x² - 14x = - 26x² because 12x² and 14x are unlike terms, so we can not add them

To prevent it the dividend must be written as 6x³ + 0x² - 14x + 1

Step-by-step explanation:

In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.

Example:

If the dividend is 3x³ - 2x + 5, then you must write it as 3x³ + 0x² - 2x + 5

Let us solve our question

∵ The dividend is 6x³ + 1 - 14x

→ You must arrange it from the greatest power of x

∴ The dividend is 6x³ - 14x + 1

∵ The term of x² is missing

→ Write it in the dividend with a coefficient of 0

∴ The dividend is 6x³ + 0x² - 14x + 1

The error is the adding of unlike terms

∵ 6x³ - 14x + 1 ÷ 3x + 6 = 2x² and [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)]

∵ [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)] = 6x³ - 14x + 1 - 6x³ - 12x²

∵ 6x³ - 14x + 1 - 6x³ - 12x² = 0 - 12x² - 14x + 1

∵ 0 - 12x² - 14x + 1 = -26x² + 1 ⇒ error

∴ The error is  -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,

   so we can not add them

→ To prevent it, write 0 as a coefficient of the missing term

∵ The missing term is the term of x²

∴ Add to the dividend the term 0x²

∴ The dividend must be written as 6x³ + 0x² - 14x + 1

Answer:

-14x and 12x² are not like terms, so they can’t be subtracted.

To prevent this error, be sure to line up like terms

Step-by-step explanation:

just did it

Answer:

Larry's statement is correct

Step-by-step explanation:

Larry says 5 × 900 is less than 5 × 9,000.

Doni says 5 × 900 is greater than 5 × 9,000.

5 × 900 = 4500

5 × 9000 = 45,000

45,000 is greater than 4500 because the place value of 45,000 is tens thousands and 4500 is Thousands.

Hence, Larry's statement is correct.(Larry says 5 × 900 is less than 5 × 9,000.)

Answer:

y=-37

Step-by-step explanation:

0+6y=7(y+6)-5

0+6y=7y+42-5

6y=7y+37

-1y=37

y=-37

Answer:

300000  or 3 * 10^5

Answer:

Number of muffins baked x .4 = number of muffins baked by that person

Step-by-step explanation:

Answer:

sq rt of 32 units

Step-by-step explanation:

use the pythagorean theorem:

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

sq rt of 32 = c

The length of the hypotenuse of a right triangle is 4√2.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

P= 4 units, B= 4 units

Now, using Pythagoras theorem

H² = P² + B²

H² = 4² + 4²

H²= 16+ 16

H² =32

H= √32

H= 4√2

Hence, the Hypotenuse is 4√2.

Learn more about Pythagoras theorem here:

https://brainly.com/question/10174253

#SPJ5

Answer:

[tex] \huge \orange{ - \frac{3}{4} } \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 2 - 1}{1 - - 3} = \frac{ - 3}{1 + 3} = \frac{ - 3}{4} = - \frac{3}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{3}{4} \\ [/tex]

Hope this helps you

Answer:

4(x+3)=2(4x+8+2x+3)

4x+12=8x+16+4x+6

-8x=10

x=-5/4

x+3=7/4

WE know, compound interest is given by :

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Here, P is principle amount.

r is annual interest rate.

n, number of times that interest is compounded per unit t .

t, time the money is invested or borrowed for.

To Find :

How much more money would Isabella have in her account than Gabriel, to the nearest dollar.

Solution :

[tex]D = P(1 + \frac{r_1}{n})^{nt}- P(1 + \frac{r_2}{n})^{nt}\\\\D = 77000\times ( 1 + \dfrac{33}{8\times 12})^{12\times 6}-77000\times ( 1 + \dfrac{7}{2\times 12})^{12\times 6}\\\\D = \$(1.257\times 10^{14})[/tex]

Hence, this is the required solution.

Answer: 3534

3534 in delta math

Step-by-step explanation:

Answer:

is this triangle supposed to be a right triangle?

Step-by-step explanation:

i can't solve unless i know the type of triangle

Answer:

460 yards

Step-by-step explanation:

3 feet are in a yard so 276 feet / 1 second * 1 yard / 3 feet=92 yards per second

92 * 5 = 460 yards

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can travel 3 miles in 60 minutes.

The man can travel 1 mile in 20 minutes.

We have,

A car travels 276 feet each second.

This can be written as:

276 feet = 1 second

Multiply both sides by 5 we get,

5 x 276 feet = 5 x 1 second

1380 feet = 5 second ____(1)

1 yard = 3 feet

Multiply both sides by 460.

460 x 1 yard = 460 x 3 feet

460 yard = 1380 feet ____(1)

From (1) and (2) we get,

460 yard = 5 seconds

Thus,

If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ5

Answer:

a. Equation is 3x - 2y = 0

b. x = 6 and y = 9

Step-by-step explanation:

a.

Given that

The Weight of the square is y

And, the weight of the triangle is x

Now the equation according to the attached diagram is

x + 3y = 4x + y

4x - x + 3y - y = 0

3x - 2y = 0

b.

Now if x  = 6

So, y would be

3x - 2y = 0

3x = 2y

3(6) = 2y

18 = 2y

y = 9

We simply applied the above equation so that the correct value could come

And, the same is to be considered

Answer:

2,300 days are without activities

Step-by-step explanation:

We start by calculating the number of days in 7 years

Mathematically, that would be 7 * 2,555

From the question, 90% of days are without activities

The number of days without activities will be;

90/100 * 2,555 = 2,299.5 which is approximately 2,300 days

Step-by-step explanation:

6x + 3 = 5x - 8

x = -11

Bring x terms to LHS and constant terms to RHS

Topic: Algebraic equations

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

-11

Step-by-step explanation:

Answer:

Flip

Step-by-step explanation:

Answer:All we need to do is add.

5 + 2 = 7

Therefore, Joe has 7 apples.

best of luck

Given :

The store sells gasoline for .25 per gallon below it's regular cost per gallon.

Suppose the store sells 5,750 gallons that day.

To Find :

the stores profit or loss in comparison to the amount the store would had made without the special offer.

Solution :

Since, store is selling gasoline for lower amount than regular so they will be in loss.

Loss =$ 0.25 × 5750

Loss = $1437.5

Therefore, loss of store in comparison to the amount the store would had made without the special offer is $1437.5 .

Hence, this is the required solution.

Answer:

x = 2

Step-by-step explanation:

4(2x - 1) = 3x + 6

Simplify

8x - 4 = 3x + 6

Subtract 3x from both sides

8x - 3x - 4 = 3x - 3x + 6

5x - 4 = 6

Add 4 to both sides

5x - 4 + 4 = 6 + 4

5x = 10

Divide both sides by 5

5x/5 = 10/5

x = 2

Step-by-step explanation:

4(2x - 1) = 3x + 6

8x-4=3x+6

8x-3x=6+4

5x=10

x=10/5=2

Answer:

.4 seconds I think. Pretty simple.

Answer:

0.4 seconds

Step-by-step explanation:

13.2-12.8=0.4

Answer:

B. 13

First, use the Pythagorean Theorem

a^2 + b^2 = c^2

5^2 + 12^2 = c^2

25+144=c^2

169=c^2

square root of 169=13

Therefore your answer would be, B. 13

Have a great day!!!!! :D

Sry, it is a week late.... :\

Answer:

-1/4

Step-by-step explanation:

M = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

Answer:

C. [tex] M(x) = 4x + 4 [/tex]

Step-by-step explanation:

Find the rate of change/slope (m) using two pairs (1, 8) and (2, 12):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4 [/tex]

(Note: M(x) = y)

Find y-intercept (b) by substituting x = 1, M(x) = 8, and m = 4 in M(x) = mx + b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

b = 4

substitute m = 4, and b = 4 in M(x) = mx + b, to get the equation that models the relationship.

The equation would be:

✅ [tex] M(x) = 4x + 4 [/tex]

Answer: 2 0ver 1 I think

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

y2-y1/x2-x1

plug in numbers

-4-8 is 12

2- negative one is 3

-12/3 is -4

Answer:

D.

Each line has the 3 dashes meaning equivalent

Answer:

3.5r - 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

6.4r - 7 - 2.9r

Step 2: Simplify

And we have our final answer!