what is the equation of the line with the slope of -3/5 and an x-intercept of 6

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula x² - y² = (x + y)(x - y):

(2x + y)(2x - y)

hope this helps!

The number or amount of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .

First step

Since 5 ounce sauce containing 50% tangy

Hence:

5 oz×.50 tangy

=2.50 oz-tangy

Second step

(5+x)×0.7=3.5+0.7x

Third step

2.50+0.75x=3.5+0.7x

Collect like term

0.75x-0.7x=3.5-2.50

0.05x=1

Divide both side by 0.05

x=1/0.05

x=20 ounces

Therefore the number of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .

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Answer: 3.6

Step-by-step explanation:

5m long ladder placed against 4.3m up the wall.

the angle between the ladder and the ground.

Based on the given conditions, formulate: 

sin⁡x=4.3÷5

Evaluate the equation/expression:

x= 1.03527 or 2.10632

x= 1.03527°

or x= 2.10632°

Explanation:

The arc markings for each angle show that we have two pairs of congruent angles (angle O = angle Q, angle M = angle R). This takes care of the two "A"s in "ASA". The tickmarks show us that the sides MO and RQ are the same length, so this takes care of the "S" of "ASA". Note the congruent sides are between the angles mentioned. The order is important.

Newton's Law of Gravitation:

Statement: According to this law, when two mass bodies are separated at finite distance then there must be an attractive force experience by them which is directly proportional to the product of their masses and inversely proportional to the square of their separation.

Consider two mass bodies m1 & m2 be kept at distance d. Then the force of attraction F is given as

                            [tex]Fam_{1}.m_{2}[/tex]

                                 [tex]Fa1/d^2[/tex]

Now, from above equations, we have

                          [tex]Fa\frac{m_{1}m_{2}}{d^2}[/tex]

or,                           [tex]F=G\frac{m_{1}m_{2}}{d^2}[/tex]

Here         [tex]G=6.67*10^{-11}Mm^2kg^{-2}[/tex]   is the universal gravitational constant.

Answer:

Hello there! 10 square of 3

Answer: according to my calculator, the answer is 8.5714285714286 i hope this is correct lol,

Step-by-step explanation: Hope this helps ^_^

The length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC. The measure of the curve DE is 10.5 units

The theorem states that the length of the hypotenuse AB is equal to the sum of the square of other two sides AC and BC.

According to the theorem;

AB^2 = AC^2 + BC^2

AB^2 = 6^2 + 8^2

AB^2 = 36 + 64

AB = 10

If the curve DE is 5% longer than line segment АВ, the measure of curve DE is given as;

DE = 1.05 * 10
DE = 10.5

Hence the measure of the curve DE is 10.5 units

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Answer:

Step-by-step explanation:

44/2 is 22

84/3 is 28

Patrick Mahomes can throw more yards/sec

Answer:

3

Step-by-step explanation:

0.1 rounds to 0 and 0.04 also rounds to zero. Therefore, the answer is 3.

Answer:

See below

Step-by-step explanation:

Inscribed angles encompass twice as many degrees of arc as their angle measure

 soo    2* {   6x-5   +  x+17 } = 360

             shows x = 24      then ROP = x+17 = 41 degrees

Answer:

It depends on how many students there are in Mr. Edwards class

Step-by-step explanation:

The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance

The formula for the area of the triangle is A = 1/2bh (1/2•base•height).

Identify your base and height and substitute them into the formula. Since you did not include an image or info in which states the base and height, this is what I can say.

If the base and height are 5 and 12, the area would be 30 yds. (1/2 x 5 x 12)

If the base and height are 5 and 16, the area would be 40 yds. (1/2 x 5 x 16)

If the base and height are 12 and 16, the area would be 96 yds. (1/2 x 12 x 16)

Answer:

-125

Step-by-step explanation:

Twice a number is x*2

x*2 = 500 + x*6

=> x = -125

Answer:

3,000 numbers.

Step-by-step explanation:

First digit: 2, 3, 5, or 7 (primes)

Second digit: 0, 1, 2, 3, or 4 (less than 5)

Third digit: 0-9

Fourth digit: 0, 1, or 8 (cubic numbers)

Fifth digit: 1, 3, 5, 7, or 9 (odd numbers)

So we have 4 * 5 * 10 * 3 * 5 = 3,000 possible numbers.

Answer:  [tex]z \ge -10[/tex]

Reason: The graph shows all values that are z = -10 or larger.

The closed endpoint at -10 indicates we include it with an "or equal to".

If it was an open hole endpoint, then we'd say z > -10 instead.

Answer:

slope = (y₂ - y₁) / (x₂ - x₁)

18-9/-10-10

=9/0

The slope is undefined and it is a vertical line.

Step-by-step explanation:

OR

since x₂ , x₁ are the same value -10 the slope is undefined.

Answer:

x = 5

  or

x = 3

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

If the equation x²−8x−5=0 can be transformed into the equation (x−p)²=q, then value of q is 21

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

To transform the equation x² - 8x - 5 = 0 into the equation (x - p)² = q, we need to complete the square by adding and subtracting a constant term.

First, let's add 5 to both sides to get:

x² - 8x = 5

Applying complete square method

we need to add and subtract 16 inside the parentheses on the left-hand side:

x² - 8x + 16 - 16 = 5

Simplifying the left-hand side gives us:

(x - 4)² - 16 = 5

Adding 16 to both sides gives us:

(x - 4)² = 21

Therefore, the value of q is 21.

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Answer:

Shown in the photo

Step-by-step explanation:

I just followed the steps. If you need more help let me know :)

Answer:

x = 12.5

Step-by-step explanation:

17 = 2(x - 4)

17 = 2x - 8

17 + 8 = 2x - 8 + 8

25 = 2x

12.5 = x

Answer:

Circumference = 25.14 cm

Area = 50.28 cm²

Step-by-step explanation:

∴ Circumference = 2πr

⇒C = (2) (22/7) (4)

⇒C = 25.14 cm

∴ Area = πr²

⇒A = (22/7) (4)²

⇒A = 50.28 cm²

Hope that helps...

Answer:

40 so C would be your answer.

The third quartile of the data set is 38.

Quartiles are statistical measures that divide a dataset into four equal parts, each representing 25% of the data. They are used to analyze the distribution and spread of data.

There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).

To find the third quartile of a data set, we need to arrange the data in ascending order and then locate the value that divides the upper 25% of the data from the lower 75%.

Arranging the data set in ascending order:

14, 18, 20, 21, 25, 32, 38, 42, 48

The data set has 9 values, so the third quartile will be the value at the

(9 0.75)th position

= 6.75th position.

Since we can't have a fractional position, we round up to the nearest whole number, which is 7.

The value at the 7th position is 38. Therefore, the third quartile of the data set is 38.

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1/2 is equal to 0.5. If we multiply this amount by 2, then we get 1. There are 2 halves in a whole.

Answer:

There are 2 halves in a whole. If you split 1 in 2 you get 0.5, or 1/2.