Reflection across the line y= x, cause to interchange the x and y coordinate
p(x,y) ⇒ p(y,x)
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
shortest side: 851
middle side:927
longest side : 1306
Explanation
Step 1
Let
x represents the shortest side
y represents the middle side
z represents the longest side
so, set the equations
a) the perimeter of a rectangle is the sum of the sides, so
b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)
c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)
Step 2
solve the equations
a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)
now, replace the y value in equatino (2) to find x
b)
c) finally, prelace x and y value in equation (1) to find z
so
shortest side: 851
middle side:927
longest side : 1306
I hope this helps you
Sixty more than ninety times two multiply by x
The question is asking.. Of the total income that Madeleine gets, what percent of it goes to Madeleines expenses.
The way you solve this is divide the total expenses by the total income and multiply by 100.
1840/2020= .9109 .9109*100= 91.09%