Y-5=1/2(x+2) what is the point and slope

Answers

Answer 1
Answer:

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 5 = (1)/(2)(x + 2) ← in point- slope form

with slope m = (1)/(2) and (a, b) = (- 2, 5 ) ← point on line


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Simplify 8(R + 6) - 2R

Answers

8(R + 6) - 2R,8R + 48 - 2R,The result is 6R + 48

2x^2+7x-15=0If r and s are two solutions of the equation above and r > s, which of the following is the value of r-s?

Answers

Final answer:

As per the equation, the value of r - s is 13/2.

Explanation:

A mathematical equation is a statement asserting the equality of two mathematical expressions, typically involving variables, constants, and operations. Equations help solve problems and represent relationships in various mathematical disciplines. For example, "2x + 5 = 11" is a simple linear equation.

To find the values of r and s, we need to solve the quadratic equation 2x^2 + 7x - 15 = 0.

We can factor the equation as (2x - 3)(x + 5) = 0. This gives us two possible solutions: x = 3/2 and x = -5.

Since r > s, the larger solution is r = 3/2 and the smaller solution is s = -5. The difference between r and s is therefore r - s = 3/2 - (-5) = 3/2 + 5 = 13/2.

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Final answer:

The solution to the quadratic equation 2x² + 7x - 15 = 0 are x = 5 and x = -1.5. If we define r as the larger solution and s as the smaller one, then r = 5 and s = -1.5. The difference r - s would then be 5 - (-1.5) = 6.5.

Explanation:

The given equation is a quadratic equation, which can be written in the standard form ax² + bx + c = 0. The direct solutions to this equation are given by the quadratic formula: x = [-b ± √(b² - 4ac)] / 2a.

For the given equation 2x² + 7x - 15 = 0, a = 2, b = 7, and c = -15. Plugging these values into the quadratic formula, you get the solutions x = [-7 ± √(49 - 4 × 2 × (-15))] / 4. Calculating further, you get the values x = [-7 ± √(49 + 120)] / 4 = [-7 ± √(169)] / 4. So the solutions are x₁ = 5 and x₂ = -1.5.

If we define r as the larger solution and s the smaller one, then r = 5 and s = -1.5. The difference r - s then becomes 5 - (-1.5) = 6.5.

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A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 8 of these 90 packages at random and then counted the number of nuts in each package. The manager recorded the results.31, 31, 32, 33, 35, 35, 35, 36

What is the estimated median number of nuts in all 90 packages?


________

Answers

Data set:

31, 31, 32, 33, 35, 35, 35, 36

Median is the middle value of the data set.

Since there is 8 numbers involved, the median is the average of the 4th and 5th number.

(33 + 35)/2 = 68/2 = 34

The median is 34.

What is the y-intercept of the line 8x - 5y = -10

Answers

We want to obtaint y=ax+b form, lets do this
8x-5y=-10      /-8x   (subtract 8x both sideS)
-5y=-8x-10      /:-5  divide both sides by -5
y=(-8)/(-5) x+2
y=(8)/(5) x+2 - its the answer
8x-5y=-10
-+5y +5y
------------------
8x=-10+5y
+10 +10
----------------
8x+10=5y
÷5 ÷5
-----------
1.6x+2=y
or Y=8/5x+2

Jase wrote the prime factorization of 99. Which expressions could he have written? Select all that apply. A. 32 × 11 B. 9 × 9 C. 3 × 3 × 3 × 11 D. 34 E. 3 × 3 × 11

Answers

Answer:

E. 3 × 3 × 11

Step-by-step explanation:

A prime number is any number that is only divisible by 1 and itself. e.g. 2,3,7,11,...

To write the prime factorization of any number, all numbers in the product must be prime.

Therefore, the prime factorization of 99

99= 9X 11=3 X3 X11

Answer:

3^2x11 and 3x3x11

your welcome angel!

A triangle has two sides of lengths 7 and 12 what value could the third side be

Answers

we know that the longest side of the triangle cannot be longer or equal to the legnth of the sum of the other two sides ( becasue if it was equal, then you would get a straight line)

so if you assume that 12 is longest side then the other sides could be 6

if you assume that the longest side is the third side then the longest side could be 18