Answer:
x = 12
Step-by-step explanation:
42 + 4x = 90 ( as it is right angle)
transpose to find x
4x = 90 - 42
4x = 48
x = 48/4
x = 12
Plug x = 0 into the function
f(x) = x^3 + 2x - 1
f(0) = 0^3 + 2(0) - 1
f(0) = -1
Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.
Repeat for x = 1
f(x) = x^3 + 2x - 1
f(1) = 1^3 + 2(1) - 1
f(1) = 2
This result is positive.
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We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.
To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515
Answer:
See below. A=45 p=39.64
Step-by-step explanation:
Hi = 9 squares (h)
Gh= 14 squares. (b)
Area of a triangle = 1/2 bxh
1/2 14 x 9
7x9= 45.
Area =45 squares.
Perimiter
A= side hi (9)
B= side gh (14)
C= side gi (unknown)
A^2 + b^2 = c^2
9^2 + 14^2 = 277
C^2 = 277
Square root of 277 =c
C length =16.64 squares
A+b+c = perimeter
9+14+16.64 = 39.64 squares.
Sorry I cannot see the units of measure in the photo
Olivia applied the scale factor to the measurements of the model she saw. We need to know those in order to calculate the new ones.
put values
Do like you do algebraic addition
- -5i+10j-24i+32j
- -5i-24i+10j+32j
- -29i+42j
Option A
