hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
The roots of the equation are 7 and -4, because 7 - 4 = 3 and 7. - 4 = -28
Step-by-step explanation:
The positive number is equal to 7.
Assuming that the number is equal to "x" we have:
By the sum and product method, we have:
Answer:
dont take my word for it but
Step-by-step explanation:
x<-7
Answer:
20
Step-by-step explanation:
Given data
Number of cups= 5 cups
Number of portions= 1/4 portions
Hence the number of 1/4 portion can be gotten as
=5/1/4
=5*4/1
=20
Therefore, the number of 1/4 portions is 20
Solution:
The three powers whose value is greater than 500 and less than 550 can be find by following procedure.
We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.
23²= 529
8³ = 8 × 8 × 8 =512
The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.
OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0
Because the roots of the equation are 0 and 12, we know the formula is therefore of the form
y = ax(x - 12), for some a
So put in x = 6
-9 = 6a(-6)
9 = 36a
a = 1/4
So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x
The gradient of this is dy/dx = 0.5x - 3
The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8
Gradient of the parabolic mirror at x = 4 is -1
So the gradient of the normal to the mirror at x = 4 is therefore 1.
Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.
So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
