Answer:
Slope = 9
Step-by-step explanation:
(-7 , -2) ; x₁ = -7 and y₁ = -2
(-6 , 7) ; x₂ = -6 and y₂ = 7
Slope = 
![=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7-%5B-2%5D%7D%7B-6-%5B-7%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%2B2%7D%7B-6%2B7%7D%5C%5C%5C%5C%3D%5Cfrac%7B9%7D%7B1%7D%5C%5C%5C%5C%3D%209)
The measure of angle ABC is 132°.
The total measure of ABC and BCD is 180° because it is a straight angle.
If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.
Remove all the brackets
3(7 + 2x) + 3 = 3(5 + x) − 9(x + 1)
21 + 6x + 3 = 15 + 3x - 9x - 9 Collect like terms.
24 + 6x = 6 - 6x Add 6x to both sides.
24 + 6x + 6x = 6 Subtract 24 from both sides
12x = 6 - 24
12x = - 18 Divide by 12
x = - 18 /12
x = - 1.5
Check
3(7 + 2*(-1.5)) + 3 = ? 3(5 + -(1.5) - 9(-1.5 + 1)
3(7 - 3) + 3 =? 3(3.5) - 9*(-1/2)
3*4 + 3 =? 10.5 + 4.5
12 + 3 =? 15 And it checks.
Given:
Customers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick.
Required:
We have to write an equation to model the given expression.
Explanation:
Let the total cost be y,
And x denotes the amount in pounds of blueberries.
Since, Given to enter the patch customers pay $5 (fixed)
and Given the customers pay $4 per pound for the blueberries they pick so for x pounds of blueberries cost 4x
Thus, total cost y = 4x + 5
Thus, Option (a) is correct.
Answer
Thus, Option (a) is correct.
Answer:
1/6
Step-by-step explanation:
As mentioned, a regular dice has 6 sides: each labeled numbers 1 through 6. There are a total of 6 outcomes, so the denominator is 6. Since there is only a single 5 on the dice, the numerator is 1.
Therefore, the probability is 1/6.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
