The governing equation is z = k/x.
When x=3, z = 1 2/3, or z = 5/3. Find k: 5/3 = k/3. Then k = 5, and the
governing equation becomes z = 5/x.
Now if x=12,
z = 5/12 (answer)
Answer:
6
Step-by-step explanation:
24/4 = 6
30/5 = 6
Dividing the values of the larger print by the corresponding values of the smaller print results in a scale factor of 6
Given:
Image of the pyramid
To identify:
The cross section of the solid.
Solution:
The given image is a pyramid.
The base of the pyramid have 5 edges.
So, it is a pentagonal pyramid.
In the cross section also have 5 edges.
Therefore the cross section of the solid shown in the diagram is pentagon.
Answer:
41 and 77
Step-by-step explanation:
x: his age the first time he went to space
y: his age the second time he went to space
the second time he went to space he was 5 years younger than twice the age when he went his first time, then:
y = 2x - 5
the sum of both ages is 118, then:
x + y = 118
If you replace y = 2x - 5 in x + y =118:
x + 2x - 5 = 118
3x = 123
x = 41
replacing x:
41 + y = 118
y = 118 - 41
y = 77
so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)
Answer:
A
Step-by-step explanation:
Given (x + h) is a factor of f(x) then f(- h) = 0
Given
p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then
p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is
- 1 - 4 - a + 20 = 0
15 - a = 0 ( subtract 15 from both sides )
- a = - 15 ( multiply both sides by - 1 )
a = 15 , thus
p(x) = x³ - 4x² + 15x + 20
If p(x) is divided by (x + h) then p(- h) is the remainder, so
p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is
- 8 - 16 - 30 + 20 = - 34 → A
