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SVETLANKA909090 [29]
2 years ago
14

Is 3( x + 4 ) equivalent to 3x + 12?

Mathematics
2 answers:
pochemuha2 years ago
6 0
Yes the equations are equivalent
liberstina [14]2 years ago
4 0
Yes they are. The distribution rule means that the 3 distributes to the x and 4. 3 times x is 3x. 3 times 4 is 12.
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I need help i dont understand this​
Nata [24]

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x + 8y = 21 → (1)

y = - \frac{1}{2} x + 3 → (2)

Substitute y = - \frac{1}{2} x + 3 into (1)

4x + 8(- \frac{1}{2} x + 3 ) = 21 ← distribute parenthesis on left side

4x - 4x + 24 = 21 ( subtract 24 from both sides )

0 = - 3 ← not possible

This indicates the system has no solutions

5 0
3 years ago
Tom works part-time at a theme park. Last week he worked the following hours but he needs to complete his timesheet in decimals.
alex41 [277]
A= 7.25 B= 6.75 C= 5.2 D= 6.1
8 0
2 years ago
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Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p
Lera25 [3.4K]

Answer:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

Step-by-step explanation:

The coordinates are:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

  • AB=CD; and
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Using Distance Formula

AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

3 0
3 years ago
Express in scientific information notation 417.8
bogdanovich [222]

Answer:

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5 0
2 years ago
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Archy [21]
Answer is:
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b) 59
Both are arithmetic sequences
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3 years ago
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