Answer:
Step-by-step explanation:
Answer:
(3,-2)
Step-by-step explanation:
Part A:
1) <em>Isolate x in x - y = 5</em>
x = y + 5
2) <em>Substitute that x into 4x+y=10</em>
4(y + 5) + y = 10
4y + 20 + y = 10
5y = 10-20
5y = -10
y = -2
3) Use y to solve for x:
x = -2 + 5
x = 3
Part B:
<em>Verify using results from Part A</em>
3 - (-2) = 5
4(3) + (-2) = 12 - 2 = 10
Part C:
<em>Just graph the equations and see where they intersect, which is exactly (3,-2). We got that in Part A and B</em>
Answer:
x = 4
Step-by-step explanation:
change the signs on both sides of the equation
7-4x= - 9
move constant to the right side and change its sign
- 4x = - 9 - 7
-4x= - 16
divide both sides of the equation by -4
x = 4
Answer:
FS = 48
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so
FB = 2 BS = 2 × 16 = 32
Then
FS = FB + BS = 32 + 16 = 48
Answer:
Noah is correct
Step-by-step explanation:
When we multiply a whole number, (without decimal notation) by 10 we can arrive at the correct answer by adding 0 to the right end of the number. However, it is not the general rule as the above method only applies to whole numbers because we have.
10 × 5 = 50
However,
10 × 5.0 ≠ 5.00
And
10 × 0.05 ≠ 0.050
The general rule is when multiplying a number by 10 it simply means shifting the decimal place one position to the left. The result of which is for whole numbers, when we shift the decimal place one place to the left, we add a zero to the right end of the number as follows;
10 × 30 = 300
Also when we multiply a decimal (fraction) by 10 we shift the place of decimal (decimal place) one decimal place to the right as follows;
10 × 0.003 = 0.03
Therefore, simply adding 0 to the right end of a number (including numbers with decimal fraction) when the number is multiplied by 10 to get the correct result is not always true.