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solong [7]
3 years ago
9

Simplify 3^a • 3^b ÷ 3^c ÷ 3^d. The exponent on 3 is _____.

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0
C Simplify — 3 <span>Equation at the end of step  1  :</span> b c ((9a • —) • —) • d 3 3 <span>Step  2  :</span> b Simplify — 3 <span>Equation at the end of step  2  :</span><span> b c ((9a • —) • —) • d 3 3</span>
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For each mile that Jason runs, Meagan runs 1/4 Mile farther. If Jason ran 6 miles,how far did Megan run ?
Darina [25.2K]
6/1 × 1/4 = 6/4
6/4 = 1 2/4 = 1 1/2
6 + 1 1/2 = 7 1/2
Meagan ran 7 1/2 miles.
8 0
3 years ago
A triangle has side lengths of 36 in, 27in, and 61 in. Classify it as acute, obtuse, or right.
Lady_Fox [76]
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61 </span><span> <span> <span> 1,296, </span></span></span> <span> <span> <span> 729, </span></span></span> <span> <span> <span> 3,721 </span> </span> </span> <span><span> </span> </span> <span><span> </span> </span> <span><span>2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025

3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side²   Acute Triangleif sum = 3rd side²   Right Triangleif sum < 3rd side²   Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm
</span></span>
7 0
3 years ago
Which equation of the line that is parallel to the line 5x + 2y =12 and passes through point -2,4
Gnesinka [82]

Answer:

The equation of the line would be y = -5/2x - 1

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

5x + 2y = 12

2y = -5x + 12

y = -5/2x + 6

Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = -5/2(x + 2)

y - 4 = -5/2x - 5

y = -5/2x - 1

3 0
3 years ago
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding i
Dimas [21]

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

5 0
3 years ago
Celia uses 80% of her paycheck to pay her bills. Her bills total $272. How much is Celia paycheck?
Vanyuwa [196]

Step-by-step explanation:

It is 340 dollars in total, I do this in an ubcenventional way of dividing 272 by 80 which gave you 3.4 which is equal to one percent and then multiply that by 20 which is 68 and add that to the other 80 percent of her bill to get 340 dollars

6 0
3 years ago
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