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3 years ago

Solve the system of equations using elimination 2x+y=3 and 3x-y=12

1 answer:

3 0

2x + y = 3
3x - y = 12
Add both equations
5x = 15, x = 3
2(3) + y = 3
6 + y = 3, y = -3
Solution: x = 3, y = -3... or (3,-3)

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0.3m = $4.41 what does m equals?

Sauron [17]

0.3m=$4.41
just divide $4.41/0.3= m
m=14.7

3 0

3 years ago

Complete the following statement.

Svetradugi [14.3K]

Answer:

if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$ , the remainder is -9

Step-by-step explanation:

We need to find the remainder if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$

Dividing $p ( x ) = x^2 + 7 x + 3$ by $x + 4$

The division is shown in figure attached.

The remainder = -9

The quotient = x+3

So, if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$ , the remainder is -9

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3 years ago

What is the value of the expression 5x − y when x = 3 and y = 1? 14 10 7 0

12345 [234]

5x-y
=5(3)-1
=15-1
=14

Therefore, the answer is 14.

5 0

3 years ago

Part C How does a translation 7 units up change the coordinates of a shape?

Alona [7]

Answer:

The y coordinate of the shape would be 7 more than its original value.

Step-by-step explanation:

4 0

3 years ago

Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2

8090 [49]

Answer:

$P_1 = 24cm$

Step-by-step explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

$P = 51.2cm$

$S = 5'4"$

$S_1 = 76.2cm$

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

$P:S = P_1 : S_1$

Convert $S = 5'4"$ to cm

$S = 5ft\ 4in$

$S = (5*30.48+ 4*2.54)cm$

$S = 162.56cm$

Substitute values for P, S and S1

$51.2cm : 162.56cm = P_1 : 76.2cm$

Express as fraction

$\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}$

Make P1 the subject

$P_1 = 76.2cm * \frac{51.2cm}{162.56cm}$

$P_1 = 76.2cm * \frac{51.2}{162.56}$

$P_1 = \frac{76.2cm * 51.2}{162.56}$

$P_1 = \frac{3901.44cm}{162.56}$

$P_1 = 24cm$

Hence, the length of Phil's shadow is 24 cm

6 0

2 years ago