Answer:
(- 3, 37) and (- 
, 
)
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = -
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = - : y = 4 + 
= ⇒ (- , )
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
Answer: We know:
the triangle gardern(garden A) and the square garden(garden B) have the same perimeter.
This may sound obv, but it's important: garden A has 1 less side then garden B, which is why it can have longer sides but the same perimeter.
So side A1 + side A2 + side A3 = side B1 + side B2 + side B3 + side B4.
A1 + A2 + A3 = B1 + B2 + B3 + 15(the extra length on the triangle sides)
Since B is a square, B = 15 m by 15 m.
I don't know enough about triangle to put the dementions, but it's an equilateral triangle so the sides are 20 m each. Hope that helps! :)
This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.
So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x or x = 90/4.5 and x = 20 minutes
So the ordered pair will be (20,90)
A, Y doesn’t change and X becomes negative
Answer:
−9d+13
Step-by-step explanation:
3d+4−(6d−9)
Distribute the Negative Sign:
=−3d+4+−1(6d−9)
=−3d+4+−1(6d)+(−1)(−9)
=−3d+4+−6d+9
Combine Like Terms:
=−3d+4+−6d+9
=(−3d+−6d)+(4+9)
=−9d+13
Answer:
=−9d+13
