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2 years ago

Which expression is equivalent to 7 (x y)?

Mathematics

1 answer:

joja [24]2 years ago

7 0

Answer:

it's option c x(7y)

Step-by-step explanation:

you don't need any order to multiply

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How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0

3 years ago

17. The perimeter P of a rectangle with length (

coldgirl [10]

Answer:

l= (P-2w)/2

Step-by-step explanation:

P = 2l + 2w

Subtractc 2w both sides

P-2w = 2l

Divide 2 both sides

(P-2w)/2 = l

Hope this helps!

4 0

3 years ago

Answer the following question

FromTheMoon [43]

Answer:

Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°

7 0

2 years ago

Find the midpoint P(16,7) and Q(12, -3) With work.

hichkok12 [17]

Answer:

(14, 2 )

Step-by-step explanation:

Use the midpoint formula

[0.5(x₁ + x₂), 0.5(y₁ + y₂) ]

with (x₁, y₁ ) = (16, 7) and (x₂, y₂ ) = (12, - 3)

midpoint = [0.5(16 + 12), 0.5(7 - 3) ] = [0.5(28), 0.5(4) ] = (14, 2 )

8 0

3 years ago

Read 2 more answers

The sum of the numerator and denominator of a fraction expressed in simplest form is 17. If 3 is added to the numerator, the val

Anastasy [175]

X+y=17 solve for a variable and plug into the 2nd equation
(x+3)/y=1 also could be written as x+3=y
x=17-y
17-y+3=y combine and add y over to other side
20=2y
y=10
plug back in x+10=17
x=7
so the original fraction is 7/10

6 0

4 years ago

Read 2 more answers