Answer:
she can purchase 5 cheesecakes
Step-by-step explanation:
15.99*5=79.95
if we add 9.99 for the shipping of thw whole order
79.95+9.99=89.94
Answer: The quadrilateral used here is a trapezium.
Answer:
x = -2i and x = 2i
x = 3 and x = - 3
Step-by-step explanation:
x^4 - 5x^2 - 36 = 0
let u = x^2 and substitute
we have:
u^2 - 5u - 36 = 0
(u - 9)(u + 4) = 0
u = 9 and u = - 4
substitute back for u
x^2 = 9
x = 3 and x = - 3
x^2 = -4 -- i am going to assume you've learned imaginary numbers; otherwise, you cannot take the square root of a negative number.
x = -2i and x = 2i
Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
<em><u>Answer:</u></em>
The answer is: a = -2.
<em><u>Step-by-step explanation:</u></em>
A = -2, because after graphing the equation in Desmos and plugging in various values for a, I found that when a = -2, the equation passed through the point (-3,12), so that's the answer. I'll attach a photo of the graph.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
