Solve y + ^2∕7 < ^1∕3.:

Usually when rotating 90 degrees is it clockwise or counterclockwise?

denpristay [2]

Answer: depends on the situation but is usually counter clockwise

Step-by-step explanation:

7 0

3 years ago

Write as an expression and simplify

Alexus [3.1K]

Answer:

Part a) $(2m+7n)(2m-7n)$

Part b) $x^2-16xy+64y^2$

Part c) $216a^3b^6$

Part d) $(a^2-b^2)$

Step-by-step explanation:

Part a) The difference of the squares of 2m and 7n.

we know that

The difference of the squares formula is equal to

$(a^2-b^2)=(a+b)(a-b)$

substitute

$(2m)^2-(7n)^2=(2m+7n)(2m-7n)$

Part b) The square of the difference of x and 8y

The formula of the square of the difference between two numbers is equal to

$(a-b)^2=a^2-2ab+b^2$

substitute

$(x-8y)^2=x^2-2(x)(8y)+(8y)^2=x^2-16xy+64y^2$

Part c) The tripled product of 6a and b^2

we have

$(6ab^{2})(6ab^{2})(6ab^{2})=(6ab^{2})^3=(6^3)(a^3)(b^{2})^3=216a^3b^6$

Part d) The product of the sum of a and b and their difference

The expression is equal to

$(a+b)(a-b)$

The expression represent the difference of the squares between a and b

so

$(a+b)(a-b)=(a^2-b^2)$

7 0

3 years ago

Help with number one please

kicyunya [14]

Answer:

The solution to the set of linear equations is:

$(5,-4)$

Step-by-step explanation:

Hey there!

In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y

$6-2x=-4x+16$

Now we simplify

$2x=10$ ---> $x=5$

So now that we know that x is equal to 5, we can find the value of y

let's substitute it in one of the equations

$y=6-2(5)$ ---> $y=-4$

So now we know that the point where the two equations intersect is:

$(5,-4)$

This is going to be our solution

The graph is in an attachment below

8 0

3 years ago

A new car has a sticker price of $26,450, while the invoice price paid on it was $20,450. What is the percentage markup?

MrRa [10]

Answer: The correct answer is Choice C 29.3%.

To find the percent change, we place the amount of change over the original amount.

The change is: 26450 - 20450 = 6000

Now, we can write our fraction and change it to a percent.

6000 / 20450 x 100 = 29.3%

3 0

3 years ago

Read 2 more answers

PLEASE HELP WITH ALGEBRA

ratelena [41]

y - y₁ = m(x - x₁)
y - (-7) = -1¹/₅(x - (-3))
y + 7 = -1¹/₅(x + 3)
y + 7 = -1¹/₅(x) - 1¹/₅(3)
y + 7 = -1¹/₅x - 3³/₅

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-17 - (-2)}{3 - (-9)} = \frac{-17 + 2}{3 + 9}} = \frac{-15}{12} = \frac{-5}{4} = -1\frac{1}{4}$

y - y₁ = m(x - x₁)
y - (-2) = -1¹/₄(x - (-9))
y + 2 = -1¹/₄(x + 9)
y + 2 = -1¹/₄(x) - 1¹/₄(9)
y + 2 = -1¹/₄x - 11¹/₄
- 2 - 2
y = -1¹/₄x - 13¹/₄

y - y₁ = m(x - x₁)
y - (-3) = ⁻¹/₄(x - 8)
y + 3 = ⁻¹/₄(x) + ¹/₄(8)
y + 3 = ⁻¹/₄x + 2
- 3 - 3
y = ⁻¹/₄x - 1

y - y₁ = m(x - x₁)
y - (-17) = ¹/₂(x - (-6))
y + 17 = ¹/₂(x + 6)
y + 17 = ¹/₂(x) + ¹/₂(6)
y + 17 = ¹/₂x + 3
- 17 - 17
y = ¹/₂x - 14

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-4 - 8}{-4 - 6} = \frac{-12}{-10} = \frac{12}{10} = \frac{6}{5} = 1\frac{1}{5}$

y - y₁ = m(x - x₁)
y - 8 = 1¹/₅(x - 6)
y - 8 = 1¹/₅(x) - 1¹/₅(6)
y - 8 = 1¹/₅x - 7¹/₅
+ 8 + 8
y = 1¹/₅x + ⁴/₅

5 0

4 years ago