Download
GET
Algebra
Factor
Factor the polynomial.
(
x
+
3
)
(
x
+
5
)
Tap to view FREE steps...
()|[]ó
789≤
456/^×>∩∪
123-+÷<π∞
,0.%=
Factor
x
2
+
8
x
+
15
+
0
Regroup terms.
x
2
+
0
+
8
x
+
15
Add
x
2
and
0
.
x
2
+
8
x
+
15
Factor
x
2
+
8
x
+
15
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
15
and whose sum is
8
.
3
,
5
Write the factored form using these integers.
(
x
+
3
)
(
x
+
5
)
Answer:
if you will comment the qusetion ill galdly help
Step-by-step explanation:
Start by doing a subtraction of 6 to both sides so that the equation becomes -2x^2 + 7x + 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-2)(1)) ] / ( 2(-2) )
x = [-7 ± √(49 - (-8) ) ] / ( -4 )
x = [-7 ± √(57) ] / ( -4)
x = [-7 ± sqrt(57) ] / ( -4 )
x = 7/4 ± -sqrt(57)/4
The answers are 7/4 + sqrt(57)/4 and 7/4 - sqrt(57)/4.
Answer:
62m³
Step-by-step explanation:
The question is incomplete. Find the diagram of the prism attached below.
Volume of a Prism = Base area × Height
Given height = 9m
Since the prism is a triangular based prism,
Base area = area of the equilateral triangle = 1/2bh
base of the triangle = 4m
Height can be gotten using Pythagoras theorem.
Slant side of the triangle is the hypotenuse = 4m
Adjacent = 1/2 of the base = 1/2(4)= 2m
Height = √4²-2²
Height = √16-4
Height of the triangle= √12 m
Base Area = 1/2×4×√12
Base Area = 2√12 m
Volume of the prism = 2√12 × 9
= 2×2√3×9
= 36√3 m³
= 62.2m³
Volume of the prism is approximately 62m³
