Answer:
C
Step-by-step explanation:
y=x is a line that has slope 1 meaning it go ups (increases) from left to right.
So that puts us at choice A or C.
Both A or C differ by the numerator for the other function.
We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.
Let's do that:
A: -x-10=0 C. -x+10=0
-x=10 -x=-10
x=-10 x=10
A says x-intercept -10
C says x-intercept 10
Your graph intercepts the x-axis at 10 so the answer is C.
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
<h3>
<u>Explanation</u></h3>
- Given the system of equations.
- Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.
To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
There as we can get rid of the y-term by adding both equations.
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
- Answer Check by substituting both x and y values in both equations.
<u>First</u><u> </u><u>Equation</u>
<u>Second</u><u> </u><u>Equation</u>
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
<h3>
<u>Answer</u></h3>
Answer: c
Step-by-step explanation: edge 2021
The first number is 27 and the second number is 45 so the ratio would be 27;45
