Answer:
Step-by-step explanation:
we should multiply the 1/8 on the 2nd equation, by some number "n", such that our result will be equals to -3/4, namely the above x-coefficient but negative, or different sign, so (rest of the explanation is in the picture attached)
We want to find h and k so that
3x³ - 6x² + 4x - 2 ≡ (x-2)(3x² + hx + 4) + k
Expand the right side.
(x-2)(3x² + hx + 4) + k
= 3x³ + hx² + 4x - 6x² - 2hx - 8 + k
= 3x³ + (h-6)x² + (4 - 2h)x + k - 8
Match coefficients of x²:
h - 6 = -6
h = 0
Match coefficients of x:
4 - 2h = 4 (Correct because h=0)
Match constants.
k - 8 = -2
k = 6
Answer: h=0, k=6
Response:
35 : 10 = 7 : 2
Therefore 35 : 10 ≠ 7 : 5
Answer:
z = 3
Step-by-step explanation:
Δ UWV and Δ UWX are similar triangles , thus corresponding angles are congruent , that is
∠ UWV = ∠ UWX , substitute values
9z - 24 = z ( subtract z from both sides )
8z - 24 = 0 ( add 24 to both sides )
8z = 24 ( divide both sides by 8 )
z = 3
Greetings I am BrotherEye
Answer: How find the volume of a triangular pyramid?
Triangular pyramid volume formula
In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height
Step-by-step explanation:
Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
Best of Luck!