<u><em>Answer:</em></u>
y + 2 = 1 (x+3) ............> y + 2 = x + 3
<u><em>Explanation:</em></u>
<u>The general form of the equation of a line in point-slope form is:</u>
y - y₁ = m (x - x₁)
<u>where:</u>
m is the slope of the line
(x₁ , y₁) is a point that belongs to the line
<u>The general form of the equation of a line in slope-intercept form is:</u>
y = mx + c
<u>where:</u>
m is the slope
c is the y-intercept
<u>1- Getting the point:</u>
We are already given the point (-3 , -2) so we'll directly use it
<u>2- Getting the slope</u>
<u>We are given that our line is parallel to the line:</u>
y = 1x - 7
We know that parallel lines have equal slopes
<u>This means that:</u>
slope of the line we want = 1
<u>3- Getting the equation:</u>
Substitute with the point and slope in the above form to get the equation
<u>This is done as follows:</u>
y - y₁ = m (x - x₁)
y - (-2) = 1 (x - (-3))
y + 2 = 1 (x + 3)
y + 2 = x + 3
Hope this helps :)
Answer: 9
<u>Step-by-step explanation:</u>
Andre has 4 x (the number of cars Peter has). Andre has 36 cars.
4P = 36
P = 9
Answer:
C
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. The determinant is (4)(3) -(1)(-5) = 17, eliminating choice B.
In a 2×2 matrix, the transpose of the cofactor matrix swaps the diagonal elements, and negates the off-diagonal elements. That is, the transpose of the cofactor matrix will look like the matrix of B. When that is divided by 17, you get the matrix of answer choice C.
To find out how much Stan is paid a day, simply find out how many miles Stan drives per day, and multiply that with the amount Stan is paid per mile (in this case $3.50 per mile). Then, add that with the daily amount Stan earned (which is $75).
For example, on Monday, Stan drove a total of 30 miles (and he's paid $3.50 per mile).
Simply multiply $3.50 (per mile) with 30 (total number of miles driven), and that should equate to $105 earned for driving a total of 30 miles.
Then, add $105 (earned from driving 30 miles) to $75 (daily pay) and that equals $180.
Stan had been paid a total of $180 on Monday.
Answer:
35 cm
Step-by-step explanation:
volume of cylinder = πr²h
πr²h = 1058.75π
Divide both sides by π.
r²h = 1058.75 cm³
r = 5.5 cm
Substitute r² with (5.5 cm)².
(5.5 cm)²h = 1058.75 cm³
h = 1058.75/30.25 cm
h = 35 cm
