Answer:
No
Step-by-step explanation:
For a proportional relationship :
y = kx
Where , k = constant of proportionality
Taking the first set of data:
x = 50 ; y = 10
10 = 50k
k = 10/ 50 = 1/5
Hence, the proportional equation or relation is :
y = 1/5x
Check if this is true for other data points on the data :
Taking the second data point :
x = 85 ; check if y will be 20
From :
y = 1/5x
y = 1/5*85
y = 85/5
y = 17
Since ;
y value from the equation isn't the same as that in the table, then the table does not show a proportional relationship.
The sine has a range -1 to +1 so y goes from 1+2(-1) to 1+2(1) = -1 to 3
Range: -1 ≤ y ≤ 3
Marie states that any integer greater than 4 will always get an even number of factors.
This can be proven wrong by (for example) 12.
12 has these factors:
1 x 12
2 x 6
3 x 4
12 has an ODD number of factor pairs.
Another example is 28.
28:
1 x 28
2 x 14
4 x 7
28 has an odd number of factor pairs.
I hope this helps!
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanation:
First, multiply each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2
×
A
=
2
×
h
2
(
a
+
b
)
2
A
=
2
×
h
2
(
a
+
b
)
2
A
=
h
(
a
+
b
)
Now, divide each side of the equation by
a
+
b
to solve for
h
while keeping the equation balanced:
2
A
a
+
b
=
h
(
a
+
b
)
a
+
b
2
A
a
+
b
=
h
(
a
+
b
)
a
+
b
2
A
a
+
b
=
h
h
=
2
A
a
+
b
