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Ber [7]
3 years ago
9

Which equation has exactly one solution?

Mathematics
2 answers:
ziro4ka [17]3 years ago
7 0

Answer:

  The answer is D

Step-by-step explanation:

9(x + -3) + 28 = 4x + -3

Reorder the terms:

9(-3 + x) + 28 = 4x + -3

(-3 * 9 + x * 9) + 28 = 4x + -3

(-27 + 9x) + 28 = 4x + -3

Reorder the terms:

-27 + 28 + 9x = 4x + -3

Combine like terms: -27 + 28 = 1

1 + 9x = 4x + -3

Reorder the terms:

1 + 9x = -3 + 4x

Solving

1 + 9x = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

1 + 9x + -4x = -3 + 4x + -4x

Combine like terms: 9x + -4x = 5x

1 + 5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

1 + 5x = -3 + 0

1 + 5x = -3

Add '-1' to each side of the equation.

1 + -1 + 5x = -3 + -1

Combine like terms: 1 + -1 = 0

0 + 5x = -3 + -1

5x = -3 + -1

Combine like terms: -3 + -1 = -4

5x = -4

Divide each side by '5'.

x = -0.8

Simplifying

x = -0.8

Veronika [31]3 years ago
4 0

Answer:

the correct answer is D. 9(x-30) + 28 = 4x - 3

Step-by-step explanation:

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A card is picked at random from a deck of cards, after putting it back another card is picked at random. ​Are these two events d
kvv77 [185]

Answer: Independent event

Step-by-step explanation:

When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.

For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. ​The probability of picking the cards is not affected by each other since it is put back.

6 0
3 years ago
Answers:<br> A x=6<br> B x= Square Root 80<br> C x=2<br> D x= Square Root 164
uysha [10]

Answer:

x=6

Step-by-step explanation:

Hypotenuse is 10 because it is the opposite of the right angle

8^2+x^2=10^2

64+x^2=100

x^2=36

x=6

3 0
2 years ago
Simon calculated the volume of the prism. His work is shown here. area of base = B = 1 2 bh = 1 2 (5)(13) = 32.5 m2 volume = Bh
melamori03 [73]

Answer:

Options (1) and (5) are the correct options.

Step-by-step explanation:

See attachment for the complete question.

Simon's work,

Area of the base = B =\frac{1}{2}bh = \frac{1}{2}(5)(13)=32.5 m²

Volume = Bh = 32.5(12) = 390 m³

Let's check the error's he made.

Area of the base of the triangular prism

B =\frac{1}{2}bh=\frac{1}{2}(5)(12)

B = 30 m²

Volume of the prism = (Area of the triangular base)×(Height)

V = 30 × 4

V = 120 m³

Therefore, Options (1) and (5) are the correct options.

4 0
3 years ago
Pentagon CDEFG is shown on the coordinate plane. Pentagon CDEFG is translated 7 units up and 5 units left, resulting in C'D'E'F'
Sati [7]

Answer:

The length of line segment FG is equal to the length of F'G'

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

Step-by-step explanation:

Given

CDEFG and C'D'E'F'G

Translation: 7 units up and 5 units left

Solving (a): Segment FG and F'G'

When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)

Hence:

FG = F'G'

Solving (b): Perimeter CDEFG and C'D'EF'G'

In (a), we established that lengths do not change during translation;

Hence:

The perimeter of the CDEFG and C'D'EF'G' will remain the same

3 0
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Subtract express each diffrence in simplest form : 2 - 1/3-9/10 and 4-5/6- 3/8
ivolga24 [154]
The first one is 23/30  and the second one is 2 19/24
3 0
2 years ago
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