Well, from the info given, you cannot automatically put it into slope intercept form. You have to put it into point slope form first and then convert it.
Point slope form looks like this: y - y1 = m(x - x1)
Now, with the info it looks like this: y - (-2) = -3(x - 1)
Now you distribute and change the - (-2) to +2 (because subtracting a negative is the same as adding a positive) and you get: y + 2 = -3x - 3
Now, you subtract 2 to get y by itself (we are converting now)
y = -3x - 5
Hope this helps!
Step 2: x = 30 − 5
Step 3: x = 25
Which statement best explains why Step 2 is incorrect in Mona's solution?
She did not add 5 to 30.
She did not divide 30 by 5.
She did not multiply 30 by 5.
She did not multiply 30 five times.
Answer:
Option 2nd is correct
She did not divide 30 by 5.
Step-by-step explanation:
As per the statement:
Mona solved an equation incorrectly, as shown below:
Step 1: 5x = 30
Step 2: x = 30 − 5
Step 3: x = 25
Step 2 is incorrect as she did not divide 30 by 5.
Correct steps for the equation are:
Step 1.
Step 2.
Step 3.
x = 6
Therefore, the statement which explains that Step 2 is incorrect in Mona's solution is, She did not divide 30 by 5.
Equation Q: 8y + 7z = 1
Which of these is a possible step used in eliminating the y-term?
(y + z = 6) ⋅ −8
(y + z = 6) ⋅ 7
(8y + 7z = 1) ⋅ 7
(8y + 7z = 1) ⋅ 8
Answer:
Option B is the correct answer.
Step-by-step explanation:
For eliminating y term we need to make coefficients of y in both equations same.
Equation P: y + z = 6
Equation Q: 8y + 7z = 1
Coefficients of y in equation P = 1
Coefficients of y in equation Q = 7
So we need to multiply equation P with 7.
That is (y + z = 6) x 7
Option B is the correct answer.
In the scenario, a right triangle is formed with the board, the ground, and the wall. We use the Pythagorean theorem to find the height the board will reach up the wall and get the result as 8 feet.
This is a geometry problem where we need to determine the height the board will reach up the wall. This appears to be a right triangle since the board is leaning against the wall. The length of the board is the hypotenuse (10 feet), and the distance from the wall is one of the legs of the triangle (6 feet).
To find the height the board will reach up the wall, which is the other leg of the triangle, we can use the Pythagorean theorem: a² + b² = c² where a and b are the legs and c is the hypotenuse.
Substitute the given values to the formula: a² + 6² = 10²
Solving this equation gives: a² = 10² - 6²
Then, a² = 64
So, a = √64 = 8
Thus, the height the board will reach up the wall is 8 feet.
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