Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
<u>Given line</u>
<u>In slope-intercept form it is</u>
- - x + 7y = 42
- 7y = x + 42
- y = 1/7x + 6
<u>Perpendicular line has slope - 1/(1/7) = - 7 and its equation is:</u>
<u>Finding b using the point (-2, -1)</u>
- -1 = -7(-2) + b
- -1 = 14 + b
- b = -1 - 14
- b = -15
<u>So the line is</u>
Step-by-step explanation:
4x+9y=28
-4x-y=-28
8y=0
divide both side by 8
y=0
solve for X in equation 1
4(X)-9(0)=28
4x-0=28
4x =28
divide both side by 4
4x/4=28/4
X= 7
y=0,x=7
For number one if you add up the numbers in each square you’ll notice each square is the same sum. You can use a similar strategy for number two.
Answer: OPTION C.
Step-by-step explanation:
In order to solve the given exercise, you can follow these steps:
1. Given the following function f(x):
You must substitute into the function f(x). Then:
2. Evaluating, you get:
3. Now, the next step is to substitute into the function g(x):
4. Finally, evaluating, you get the following result:
You can identify that it matches with the Option C.
<span>20 - 2 * 3^2
Remember PEMDAS.
Parentheses
Exponents
Multiplication/Division
</span>Addition/Subtraction
There are no parentheses, but there is an exponent. So first you must do 3^2.
<span>20 - 2 * (3*3)
</span>20 - 2 * 9
Next is multiplication/division. Multiply -2 by 9.
20 - 2 * 9
20 - 18
Lastly, you subtract.
20 - 18
2
The answer is 2.