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joja [24]
2 years ago
10

If the equation were 6x + 2 = 5x + 17, would there be one unique solution?

Mathematics
1 answer:
Eduardwww [97]2 years ago
8 0
Yes, because if you were to figure out what x= you would get 15. Try any other numbers, and they do not work

6x+2=5x+17
6x=5x+15
X=15
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What is 1 half subtract 1 tenth
Anna [14]
To solve for \frac{1}{2}- \frac{1}{10} You first need to find a common denominator.

To do so, you need to make both denominators 10 by multiplying the top and bottom of \frac{1}{2} by 5

\frac{5}{10}- \frac{1}{10}=\frac{4}{10}    Reduce by dividing both the top and bottom by 2

Your answer is \frac{2}{5}
8 0
3 years ago
Read 2 more answers
Which is the value of this expression when a=5 and k=-2
Zinaida [17]

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

(\frac{3^2a^{-2}}{3a^{-1}})^k

The value of a =5 and k = -2

Putting the values and solving

=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}

Option C is correct.

3 0
3 years ago
Three solutions for the linear equation 4 −3 = 1.
FrozenT [24]

Answer:

(1, 1), (2, 2.333) and (3, 3.666).

Step-by-step explanation:

So, for x = 1, we have:

4*1 - 3y = 1

3y = 3

y = 1

For x = 2, we have:

4*2 - 3y = 1

3y = 7

y = 2.333

For x = 3, we have:

4*3 - 3y = 1

3y = 11

y = 3.666

The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).

4 0
3 years ago
Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?
Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

5 0
3 years ago
Read 2 more answers
Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. W
Svet_ta [14]

Answer:

Height of the fighter plane =1.5km=1500 m

Speed of the fighter plane, v=720km/h=200 m/s

Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

Muzzle velocity of the gun, u=600 m/s

Time taken by the shell to hit the plane =t

Horizontal distance travelled by the shell =u

x

t

Distance travelled by the plane =vt

The shell hits the plane. Hence, these two distances must be equal.

u

x

t=vt

u Sin θ=v

Sin θ=v/u

=200/600=1/3=0.33

θ=Sin

−1

(0.33)=19.50

In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.

H

max

=u

2

sin

2

(90−θ)/2g=600

2

/(2×10)=16km

4 0
2 years ago
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