Answer:
x = 1 and y =1
Step-by-step explanation:
y = -7x + 8
sub into other eq
-7x + 2(-7x + 8) = -5
-7x - 14x + 16 = -5
-21x = -21
x - 1
y = -7(1) + 8
y = 1
9514 1404 393
Answer:
C. 3
Step-by-step explanation:
AD is perpendicular to BC, so its slope will be the opposite of the reciprocal of the slope of BC.
The slope of BC can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -2)/(3 -(-6)) = -3/9 = -1/3
Then the slope of AD is ...
-1/(-1/3) = 3
Answer:
The values of a and b are a = 11 , b = 7
Step-by-step explanation:
* Lets explain how to solve the problem
* In the exponential functions we have some rules
1- In multiplication if they have same base we add the power
# Ex: b^m × b^n = b^(m + n) ⇒ b is the base , m and n are the powers
2- In division if they have same base we subtract the power
# Ex: b^m ÷ b^n = b^(m – n) ⇒ b is the base , m and n are the powers
3- If we have power over power we multiply them
# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers
* Lets solve the problem
∵ The equation is
⇒ (1)
- At first multiply the coefficients
∵ -4 × 5 = -20
- Multiply the base x
∵ 
- Multiply the base y
∵ 
∴
⇒ (2)
- By comparing (1) and (2)
∴ a = 11 and b = 7
* The values of a and b are a = 11 , b = 7
Answer:
idk maybe its c
Step-by-step explanation:
Let
be the cost, respectively, of a notebook and a pen. If you buy 2 notebooks and 3 pens (which we know is a cost of $14.50), you spend 
Similarly, if you buy 1 notebook and 2 pens (which we know is a cost of $7.50), you spend 
These two equations form the following system:

Multiply the second equation by 2:

Subtract the first equation from the second:

So, a pen costs 0.5 dollars. Plug this equation in the second equation:
