Answer:
m = 2
Step-by-step explanation:
m m+3
----- = ----------
4 10
Using cross products
10m = 4(m+3)
Distribute
10m = 4m+12
Subtract 4m from each side
10m-4m = 4m-4m+12
6m = 12
Divide by 6
6m/6 = 12/6
m = 2
<span>Find
the number of bluejays bird and robins birds as joan counted it
=> the number of Robins is twice as bluejay
=> Robins = 2X
=> The number of bluejay is about to know:
=> Bluejay = X
The total number of birds is 21.
=> 2X + X = 21
=> 3x = 21
=> 3x / 3 = 21 / 3
=> x = 7
Thus the number of bluejay is 7
=> Robin = 2(7)
=> Robin = 14
Thus the number of Robin is 14</span>
5 to the power of 2 = 25
9 to the power of 2 = 81
25 + 81 = 106
Square root of 106 = 10.29563
If you round it to the nearest hundredth, it will become 10.30
If you round it to the nearest tenth, it will become 10.3
Sure this question comes with a set of answer choices.
Anyhow, I can help you by determining one equation that can be solved to determine the value of a in the equation.
Since, the two zeros are - 4 and 2, you know that the equation can be factored as the product of (x + 4) and ( x - 2) times a constant. This is, the equation has the form:
y = a(x + 4)(x - 2)
Now, since the point (6,10) belongs to the parabola, you can replace those coordintates to get:
10 = a (6 + 4) (6 - 2)
Therefore, any of these equivalent equations can be solved to determine the value of a:
10 = a 6 + 40) (6 -2)
10 = a (10)(4)
10 = 40a
Answer:
Below in bold.
Step-by-step explanation:
I'll solve a few of them to illustrate the method:
a) 5x - (3x - 1) = x - 4
The aim is to get all the 'x' terms to one sides of the '=' and the numbers to the other side:
Distribute the negative over the 3x - 1 in the parentheses:
5x - 3x + 1 = x - 4 ( Note that -* -1 = + 1)
Now subtract 1 from both sides:
5x - 3x + 1 - 1 = x - 4 - 1
5x - 3x = x - 5
Now subtract x from both sides:
5x - 3x - x = x - x - 5.
2x - x = -5
x = -5.
(b) 3/5 x + 1 = 2/5 - 3x
We first get rid of the fractions by multiplying each term by 5:
5 * 3/5 x + 1*5 = 5 * 2/5 - 5*3x
3x + 5 = 2 - 15x
3x + 15x + 5 = 2 - 15x + 15x (adding 15x to both sides)
18x + 5 = 2 Subtract 5 from both sides:
18x + 5 - 5 = 2 - 5
18x = -3
Now we divide both sides by 18:
x = -3/18 = -1/6.
g) 0.3(6 + m) = 0.4(8 - m)
0.3 * 6 + 0.3* m = 0.4*8 + 0.4 * -m ( Distributing the 0.3 and 0.4 over the parentheses)
1.8 + 0.3m = 3.2 - 0.4m ( recall that + * - = -)
1.8 - 1.8 + 0.3m = 3.2 - 1.8 - 0.4m
0.3m = 1.4 - 0.4m
0.3m + 0.4m = 1.4 - 0.4m + 0.4m
0.7m = 1.4
m = 1/4/0.7
m = 2.
I hope this helps.
