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SVEN [57.7K]
3 years ago
11

Which property would justify step 2 of the following equation?

Mathematics
1 answer:
IgorC [24]3 years ago
6 0
This is the distributive property of multiplication. The -2 was distributed into the parentheses.
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Determine whether the lines l1 and l2 are parallel, skew, or intersecting. If they intersect, find the points of intersection
LUCKY_DIMON [66]

Over which interval(s) is the function decreasing?

8 0
3 years ago
A rectangle has a length of 11.8 centimeters and a width of 8.2 centimeters.
kodGreya [7K]

Answer:

I think it is 96.76 cm

Step-by-step explanation:

Correct me if I am wrong

5 0
2 years ago
21. x² +9x - 22<br> Factors of cSum of Factors<br> 7<br> 7<br> ?<br> ?<br> 7<br> 7<br> 9<br> 7
Eduardwww [97]

Answer:

\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}

Step-by-step explanation:

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

x² + 9x - 22

  • a = 1
  • b = 9
  • c = -22

Factors of c (-22):

1 × -22     or     -1 × 22

2 × -11      or     -2 × 11

Sum of factors:

1 + (-22) = -21          or          -1 + 22 = 21

2 + (-11) = -9            or           -2 + 11 = 9

Table:

\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}

Hope this helps!

6 0
2 years ago
Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
Decompose 2/6 into 4 equal lengths
anyanavicka [17]
I'm not 100% sure, but I'm pretty sure it's 1/12, 1/12, 1/12, 1/12
4 0
3 years ago
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