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enot [183]
3 years ago
5

t%7B20%7D%20%2B%202%5Csqrt%7B175%7D%20" id="TexFormula1" title=" \frac{42}{ \sqrt{28} } + \frac{60}{45} - 2 \sqrt{20} + 2\sqrt{175} " alt=" \frac{42}{ \sqrt{28} } + \frac{60}{45} - 2 \sqrt{20} + 2\sqrt{175} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

4/3−4√5+13√7

Step-by-step explanation:

So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical

So for the first part we multiply the numerator and denominator by \sqrt{28} which gives us \frac{42\sqrt{28} }{28} we can then factor the 28 into sqrt(7,2,2) which simplifies to 42*2\sqrt{7}/28  So then we can simplify this and get 3\sqrt{7} We then can simplify the rest of these radicals and get 2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}  and 2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7} This means that so far we have the following:3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7} We can add the like terms and simplify the fraction and get 4/3−4√5+13√7

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Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance fr
kramer

Answer:

Option A.

Step-by-step explanation:

Based on the information provided on the question

the function used to model Tony's run is:

f(x) = -250*x  + 5000

This means that after x = 20 minutes, Tony will arrive to the finish line

f(20) = -250*(20)  + 5000 = -5000 + 5000 = 0

The function is always decreasing, because we are dealing with a line with negative slope.

Option A.

8 0
3 years ago
Read 2 more answers
Euleuy VI, Ulalla PUSIUI 407220)
Artyom0805 [142]

Answer:

Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.

Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

Hence, using angle addition postulate:

m∠ABD + m∠DBC = m∠ABC

20 + m∠DBC = 80

subtracting 20 from both sides (subtraction property of equality)

m∠DBC = 80 - 20

m∠DBC = 60°

3 0
2 years ago
Can someone please help me out ?
gizmo_the_mogwai [7]

Answer:

205-160=<em>d</em>

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients.
azamat

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

7 0
3 years ago
Use the slope formula
larisa86 [58]

Answer:

m = -2

Step-by-step explanation:

First lets fill in the variables

m = \frac{3-9}{2--1}

Now solve

3 - 9 = -6

2 - -1 = 3

-6/3 = -2

6 0
3 years ago
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