Answer:
its just 22
Step-by-step explanation:
$3.15
You can find this by multiplying $45 by the decimal of 7%.
4y:5y would be the simplest form
Answer:
Step-by-step explanation:
Because of the nature of the information we are given, we have no choice but to use the equation
and solve for a.
We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:
and simplifying a bit:
0 = 441a + 84 and
-84 = 441a so
Good, a is negative. Your equation is, then:
Hello :)
Slope intercept form: y = mx+b
Perpendicular: forms a right angle (90°)
We are asked to write the linear equation (written in slope intercept form) that passes through (-2,-11) and is perpendicular to
to do this we need to find the perpendicular line using the point.
Step 1: use the point slope formula: to find the line perpendicular to
m=4; we got 4 because we were supposed to find the negative reciprocal of the slope of the original line by multiplying -(1/4) by (-1).
y=4x-3
we can check this by seeing that when we graph it, the line passes through (-2,-11) , and it is also perpendicular to
*use desmos*