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3 years ago

Using the elimination method to solve this system of equations problem 3x + 4y = 12 and -3x - 2y = 6, name its solution. *

Mathematics

1 answer:

xeze [42]3 years ago

8 0

Answer: x=-8 and y=9

Step-by-step explanation:

3x +4y=12 ( This can be equation 1)

-3x-2y=6 ( This can be equation 2)

Equation 1 + equation 2 = 2y=18

y= 18÷2

y=9

Substitute 9 for y in 3x+4=12

3x+4y=12

3x+4(9)=12

3x+36=12

3x= 12-36

3x=-24

x= -24÷3

x= -8

Therefore x=-8 and y=9

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The coordinates of the verticies of triangle ABC are A(2,5), B(6,-1), and C(-4,-2). Fint the perimeter of triangle ABC, to the n

deff fn [24]

Answer:

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Step-by-step explanation:

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So we do this for each side of the triangle to get AB = $\sqrt{52}$ , BC = $\sqrt{109}$ , and AC = $\sqrt{45}$

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Order these from greatest to least 7 7/8, 7.5, 7.8, 7 3/4

Marizza181 [45]

The numbers are ordered from greatest to least is:

$7\frac{7}{8} >7.8 > 7\frac{3}{4} > 7.5$

Solution:

Given numbers are:

$7\frac{7}{8} , 7.5, 7.8, 7\frac{3}{4}$

We have to order them from greatest to least

Let us first convert the mixed fractions number to decimals

Mixed fractions to fractions:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$7\frac{7}{8} = \frac{8 \times 7 + 7}{8} = \frac{63}{8} = 7.875$

Similarly,

$7\frac{3}{4} = \frac{4 \times 7 + 3}{4} = \frac{31}{4} = 7.75$

Now the given numbers are:

7.875, 7.5, 7.8, 7.75

Arrange them from greatest to smallest

7.875 > 7.8 > 7.75 > 7.5

Thus the order is:

$7\frac{7}{8} > 7.8 > 7\frac{3}{4} > 7.5$

Thus the numbers are ordered from greatest to least

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3 years ago