Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in

<span>This is quite challenging, but here’s the solution:
</span>

y = x^2 - 10x + 25 - 25

<span> y = (x-5)^2 - 25</span>

<span> y + 25 = (x-5)^2</span>

<span> x - 5 = ±sqrt(y+25)</span>

 

<span> You will derive TWO inverses:</span>

 

<span> x = 5 + sqrt(y+25),</span> for x ≥ 5

<span> x = 5 - sqrt(y+25),</span> for x ≤ 5

For a rectangle, the perimeter can be calculated as P=2l+2w. Assuming the length is horizontal and the width is vertical, the span between the x coordinates will give the length, while the span between the y coordinates will determine the width. Once these measurements are obtained, you can apply them to the perimeter formula. |7 -(-7)| = 14 gives l = 14, |5-(-2)| = 7 gives w=7. Therefore, P=2(14)+2(7), which results in P= 28+14, thus, P= 42.

Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.

2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.

3. True. Geometric constructions are crafted using a compass and straightedge.

4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.

Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60  0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces

Answer: (3y - 5) • (2y - 3)

Step-by-step explanation: 6y2 - 10y - 9y - 15

2.1 Factoring 6y2-19y+15

The leading term is 6y2, with a coefficient of 6.

The middle term is -19y, having a coefficient of -19.

The last term is the constant, which is +15.