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Leto [7]
3 years ago
8

Help me out please..

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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51^7 -51^6 by 25<br> __*25
BartSMP [9]

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

7 0
3 years ago
Read 2 more answers
Given that the triangles are similar, find the value of x. Find the length of NR.<br> S<br> T<br> 40<br> 60<br> R<br> 2x-2<br> 8
andrew-mc [135]

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

\frac{40}{8} = \frac{60}{2x - 2}

5 = \frac{60}{2x - 2}

Cross multiply

5(2x - 2) = 60

10x - 10 = 60

10x = 60 + 10 (addition property of equality)

10x = 70

Divide both sides by 10

x = 7

✔️NR = 2x - 2

Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12

6 0
3 years ago
Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.
andreev551 [17]

The roots of an equation are simply the x-intercepts of the equation.

See below for the proof that \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0} has at least two real roots

The equation is given as: \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}

There are several ways to show that an equation has real roots, one of these ways is by using graphs.

See attachment for the graph of \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}

Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)

From the attached graph, we can see that \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0} crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500

This means that \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0} has at least two real roots

Read more about roots of an equation at:

brainly.com/question/12912962

6 0
3 years ago
What is the completely factored form of this expression?
Eddi Din [679]

Answer:

B.

(3x + 4)(x − 7)

Step-by-step explanation:

If you multiply.

3x2-21x+4x-28

3X2-17x-28

8 0
3 years ago
consider the line shown on the graph. enter the equation of the line in the form y=mx where m is the slope.
Amanda [17]

Answer:

y= 3x

Step-by-step explanation:

6 0
3 years ago
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