All categories

2 years ago

(07.05 LC)

Mathematics

2 answers:

Alexus [3.1K]2 years ago

8 0

Answer:

It has no solution.

Step-by-step explanation:

If we try and solve it we end up with nonsense, so it has no solutions:

4n - 3 = 4n - 2

4n - 4n = - 2 + 3

0 = 1

- which is, of course, absurd.

Also, just by looking at the equation we can see that the term 4n -3 cannot in any way be equal to 4n - 2.

gtnhenbr [62]2 years ago

6 0

Answer:

The answer is (A); there is no solution.

Step-by-step explanation:

It doesn't require any calculations, really, just logic. Look, 4n = 4n wil be equal because they are the same numbers multiplied by the same variable - no matter the variable's value. However, if you subtract both values by different numbers, you won't get the same number:

Let's say n = 5

4n = 4n

= 4(5) = 4(5)

= 20 = 20

Now,

4n - 3 = 4n - 2

= 4(5) - 3 = 4(5) - 2

= 20 - 3 = 20 -2

= 17 ≠ 18

Hope this helps! Tell me if I was wrong!

You might be interested in

HELPP PLEASE <br><br> A= Prt + P ; slove for P

mariarad [96]

Answer:

Step-by-step explanation:

Given

XXX

Applying the distributive principle:

XXX

(

)

Dividing both sides by

(

)

XXX

4 0

2 years ago

Dan has a wrench which can open to accommodate three different sizes of washers, 5/16 inch, 3/8 inch, and 2/5 inch. Which washer

bezimeni [28]

5/16 = 25/80
3/8 = 30/80
2/5 = 32/80

Because 25/80<30/80<32/80, the washer with the size of 5/16 inch is the smallest~

8 0

2 years ago

A line passes through the point (-9, -3) and has a slope of 2.

tresset_1 [31]

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3

m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

4 0

1 year ago

Let f(x)=6x. The graph of f(x) is transformed into the graph of g(x) by a vertical compression of 1/3 and a translation of 2 uni

hram777 [196]

K so a translation of 2 units up is just adding 2 to the end of the equation, and a vertical compression of 1/3 means dividing the slope by 3:
so your equation goes from

f(x)=6x (compresses to)
2x (add 2 for the translation)
g(x)=2x+2

Hope this helped.

3 0

2 years ago

Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chord

emmainna [20.7K]

The arcs intersected by these chords are not congruent.

Given that two circles with different radii have chords AB and CD, such that AB is congruent to CD.

Let r₁ and r₂ be the radii of two different circles with centers O and O' respectively.

Assuming that the each of the ∠АОВ and ∠CO'D is less than or equal to π.

Then, we have isosceles triangle AOB and CO'D such that,

AO = OB = r₁,

CO' = O'D = r₂,

Let us assume that r₁< r₂;

We can see that arc(AB) intersected by AB is greater than arc(CD), intersected by the chord CD;

arc(AB) > arc(CD) .......(1)

Indeed,

arc(AB) = r₁ angle (AOB)

arc(CD) = r₂ angle (CO'D)

So, we have to prove that ;

∠AOB >∠CO'D ......(2)

Since each angle is less than or equal to π, and so

∠AOB/2 and ∠CO'D/2 is less than or equal to π

it suffices to show that :

tan(AOB/2) >tan(CO'D/2) ......(3)

From triangle AOB :

tan(AOB/2) = AB/(2*r₁)

tan(CO'D/2) = CD/(2*r₂)

Since AB = CD and r₁ < r₂ (As obtained from the result of (3) ), therefore, arc(AB) > arc(CD).

Hence, for two circles with different radii have chords AB and CD, such that AB is congruent to CD but the arcs intersected by these chords are not congruent.

Learn more about congruent from here brainly.com/question/1675117

#SPJ1

6 0

1 year ago