Answer:
<h3>#1</h3>
<u>The system of equations:</u>
- 2x + 7y = -11
- 3x + 5y = -22
Solve by elimination.
<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>
- 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
- 6x + 21y - 6x - 10y = -33 + 44
- 11y = 11
- y = 1
<u>Find x:</u>
- 2x + 7*1 = -11
- 2x = -11 - 7
- 2x = -18
- x = -9
<u>The solution is:</u>
<h3>#2</h3>
<u>Simplifying in steps:</u>
- 8u - 29 > -3(3 - 4u)
- 8u - 29 > - 9 + 12u
- 12u - 8u < -29 + 9
- 4u < -20
- u < -5
Answer:
<h2>Area Semicircle = 1/2 πr² </h2>
where
r radius of semicircle
→ ½ * 22/7 * r² = 35
→ 11/7 * r² = 35
→ r² = 35*7/11
→ r² = 245/11
→ r² = 22.77
→ r = √22.77
→ r = 4.77
Therefore,
Diameter = 2*4.77
= 9.54 cm
Answer:
1.
A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface.
"he slithered helplessly down the slope"
Some real life examples of slope include: in building roads one must figure out how steep the road will be. skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc. when constructing wheelchair ramps, slope is a major consideration.
This question cannot be answered with the details provided. How many coins are there to start with? Probability works by taking favorable outcomes divided by total outcomes. Without the total number of either, any question like this is impossible to solve.
(5 + x) / 6 = -1....multiply both sides by 6, cancelling out the 6 on the left side
5 + x = -1 * 6
5 + x = -6
x = -6 - 5
x = -11
