Equations and Inequalities One-Pager

Please help me with this question

Liono4ka [1.6K]

9514 1404 393

Answer:

(x, y) = (5, 2)

Step-by-step explanation:

Given:

LP = x

MP = 2y+3

NP = y+3

KP = 3x -8

KP = MP, LP = NP

Find:

x, y

Solution:

The given relations between the segment lengths let us write two equations:

KP = MP

3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]

LP = NP

x = y +3 ⇒ x -y -3 = 0 [eq2]

__

Subtracting 3 times [eq2] from [eq1] gives ...

(3x -2y -11) -3(x -y -3) = 0

y -2 = 0 . . . . . . . . simplify

y = 2 . . . . . . . . . . add 2

Substituting this value into [eq2] gives ...

x = 2 + 3 = 5

The values of x and y are ...

x = 5, y = 2

5 0

3 years ago

Geometry math question no Guessing and Please show work

Andru [333]

D. (7,0)
The original coordinates were (0,7)y and (1,5)x then I rotated it 90 degrees and the coordinates were (7,0)y and (5,1)x

3 0

3 years ago

Match the mathematical expression with its translation

egoroff_w [7]

Answer:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

Step-by-step explanation:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

6 0

3 years ago

(15) ? Is this correct or am I missing something, thanks :)

svetoff [14.1K]

You are correct!

Step 1:Write what you know
Madeline's Height: 6 ftMadeline's Shadow: 108 in
Friend's Height: X (we use X as a variable because his height is unknown)Friend's Shadow: 108 in - 1.5 ft 108 in - 18 in 90 in
Step 2:Set up proportions
6 x----- = -----108 90
Step 3:Cross Multiply & Solve
108x = 540x = 5 ft tall

4 0

3 years ago

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

lesya [120]

Answer:

F27

Step-by-step explanation:

5 0

3 years ago