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3 years ago

Use the substitution method to solve the system of equations

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

Answer:

We put the value of "y" into the second equation:

x * 5 = -15

x = -15 / 5

x = -3

Step-by-step explanation:

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How to solve using perfect square <br> x^2-4x-32=0

zmey [24]

$Perfect\ square:(a-b)^2=a^2-2ab+b^2\\\\x^2-4x-32=0\ \ \ \ |add\ 32\ to\ both\ sides\\\\x^2-4x=32\\\\x^2-2x\cdot2=32\ \ \ \ |add\ 2^2\ to\ both\ sides\\\\x^2-2x\cdot2+2^2=32+2^2\\\\(x-2)^2=32+4\\\\(x-2)^2=36\iff x-2=-\sqrt{36}\ or\ x-2=\sqrt{36}\\\\x-2=-6\ or\ x-2=6\ \ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{x=-4\ or\ x=8}$

5 0

3 years ago

Tell whether each pair of angle measurements are complementary, supplementary or neither.  36°,24°  18°,72°  96°,84°

Serggg [28]

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

$36^\circ+24^\circ =60^\circ$

So, this pair is neither complementary not supplementary.

For 18° and 72°,

$18^\circ+72^\circ =90^\circ$

So, this pair is complementary.

For 96° and 84°,

$96^\circ+84^\circ =180^\circ$

So, this pair is supplementary.

4 0

3 years ago

In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows a

Dmitry_Shevchenko [17]

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

6 0

3 years ago

A jar contains 2 green marbles, 4 blue marbles, and 3 yellow marbles. A marble is chosen at random from the jar and replaced. Fi

omeli [17]

Answer:

2/27

Explanation:

• Number of green marbles = 2

• Number of blue marbles = 4

• Number of yellow marbles = 3

Total = 2+4+3 =9

• Probability of choosing a green marble = 2/9

• Probability of choosing a yellow marble = 3/9

Therefore, the possibility that the first marble is green and the second is yellow is:

$\begin{gathered} =\frac{2}{9}\times\frac{3}{9} \\ =\frac{2}{27} \end{gathered}$

8 0

1 year ago

Help. show work please

olga2289 [7]

This would be an increase. You would have one fraction with 46 over 24 and next to it you would have X over 100. Multiply 46 times 100 and then divide that number by 24. This would be an increase of approximately 191.6

6 0

3 years ago