9514 1404 393
Answer:
8 in by 16 in
Step-by-step explanation:
In your equation, we presume that x represents the width. Solving for x, we have ...
2x² = 128 . . . . . . given equation
x² = 64 . . . . . . . . divide by 2
x = √64 = 8 . . . . square root
The enlargement will be 8 inches by 16 inches.
Answer: arithmetic
Step-by-step explanation:
arithmetic is if it is added or subtracted by a common number while geometric is multiplied or divided by a common number.
Answer: x = 6V/bh
Explanation:
V = 1/6 bhx
V = (bh/6)x
V • 6/bh = x
6V/bh = x
The slope intercept form for a line is y = mx + b.
↑ <span>↑
m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).
For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.
To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):
m = (y</span>₂ - y₁)/(x₂ - x₁)
The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points. ↑ ↑ ↑ ↑
x₁ y₁ x₂ y<span>₂
m = (1 - 0)/(0 - 1)
m = 1 / -1
m = -1
This makes sense - since the slope is going downward, the slope is negative.
So the equation is:
y = -x + 1
____________________________________________________________
For the second problem, We can see the line intercepts the y-axis at -5. That is our b value.
The the slope of this line is 0 since it is not going up or down, so that is our m value:
y = 0(x) - 5 = -5
The equation of the line is y = -5</span>
Answer:
111.4 degrees
Step-by-step explanation:
Let's write cos x = -0.3646. Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character: cos Ф = -0.3646.
If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.
-1
Type this into your calculator: cos -0.3646. Result: 1.934 (radians)
This converts to degrees as follows:
1.934 rad 180 degr
--------------- * --------------- = 111.4 degrees. Note that this angle is in QIII.
1 π rad
