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igomit [66]
3 years ago
10

Explain how the expression 19√2+2√8 can be simplified using the distributive property.

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:

23√2

Step-by-step explanation:

1. Simplify √8 to 2√2

19√2 +2* 2√2

2. Simplify 2*2√2 to 4√2

19√2 + 4√2

3. Simplify

23√2

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What is the difference? −43−(−18) Enter your answer in the box.
gulaghasi [49]

Hello!

Answer:

-25

Step-by-step explanation:

−43+18

−25

Hope this helps!

5 0
2 years ago
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From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's
Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is x.
  • The horizontal change is of 602 ft.
  • The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

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4 0
1 year ago
Which of these sets could represent the side lengths of a right triangle?
Jlenok [28]

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

(Base)^{2}  + (Perpendicular)^{2}   = (Hypotenuse)^{2}

Now, in the given triplets:

(a) {4, 8, 12}

Here, (4)^{2}  + (8)^{2}   = 16 + 64  = 80\\\implies H = \sqrt{80}  =  8.94

So, third side of the triangle   8.94 ≠ 12

Hence,  {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10

Hence,  {6, 8, 10} is  a triplet.

(c) {6, 8, 15}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10  ≠ 15

Hence,  {6, 8, 15} is  NOT a triplet.

(d) {5, 7, 13}

Here, (5)^{2}  + (7)^{2}   = 25 + 49  = 74\\\implies H = \sqrt{74}  =  8.60

So, third side of the triangle  8.60  ≠ 13

Hence, {5, 7, 13} is  NOT a triplet.

4 0
3 years ago
Can someone solve -5x +2y=10
marta [7]

Answer:

x=\frac{2}{5}y-2

Step-by-step explanation:

-5x+2y=10\\-5x+2y-2y=10-2y\\-5x=2y-10\\\frac{-5x}{-5}=\frac{2y-10}{5}\\ x=\frac{2}{5}y-2

6 0
3 years ago
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Clio Is 1/5 L of water. He pours equal amounts of water into 3 cups how many liters of water are in each cup
oksano4ka [1.4K]

Answer:

1/15 L

Step-by-step explanation:

1/5 x 3

1 x 1 is numerator

5 x 3 are the denominators

3 0
2 years ago
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