Answer:
A. x = 1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
- Standard Form: ax² + bx + c = 0
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² + 3 = 4x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Rewrite in standard form: 4x² - 4x + 1 = 0
- Factor: (2x - 1)² = 0
- Solve: x = 1/2
Answer:
Acute scalene triangle.
Step-by-step explanation:
Acute scalene triangle.
Sides: a = 4 b = 7 c = 8
Area: T = 13.998
Perimeter: p = 19
Semiperimeter: s = 9.5
Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad
Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad
Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad
Height: ha = 6.999
Height: hb = 3.999
Height: hc = 3.499
Median: ma = 7.246
Median: mb = 5.268
Median: mc = 4.062
Inradius: r = 1.473
Circumradius: R = 4.001
Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]
Centroid: CG[3.313; 1.166]
Coordinates of the circumscribed circle: U[4; 0.071]
Coordinates of the inscribed circle: I[2.5; 1.473]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.005° = 150°19″ = 0.524 rad
∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad
∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad
2 + d = 2 - 3(d- 5) - 2
First, cancel 2 on both sides. / Your problem should look like:
Second, expand. / Your problem should look like:
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like:
Fourth, add 3d to both sides. / Your problem should look like:
Fifth, add d + 3d to get 4d. / Your problem should look like:
Sixth, divide both sides by 4. / Your problem should look like:
Answer as fraction:
Answer as decimal:
9514 1404 393
Answer:
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
__
<u>First line</u>:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
__
<u>Second line</u>:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
_____
It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.
Answer:
The slope is undefined
Step-by-step explanation:
The change in x is 0. So you have change in y over 0, which is undefined.
