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3 years ago

What is the solution x+2y=7 and x-2y=-1

1 answer:

7 0

$\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad\qquad2x=6\qquad\text{divide both sides by 2}\\.\qquad\qquad \boxed{x=3}\\\\\text{Put the value of x to the first equation}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\\\2y=4\qquad\text{divide both sides by 2}\\\\\boxed{y=2}\\\\Answer:\ \boxed{x=3\ and\ y=2\to(3,\ 2)}$

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Find the slope of the line that goes through: (-1, -12) and (9, 68)

dimaraw [331]

Answer:

The slope of the line is 8.

Step-by-step explanation:

The points on the straight line are:

A = (-1, -12)

B = (9, 68)

Compute the slope of the line as follows:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{68-(-12)}{9-(-1)}\\\\=\frac{68+12}{9+1}\\\\=\frac{80}{10}\\\\=8$

Thus, the slope of the line is 8.

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3 years ago

Complete the ratio table

Alex17521 [72]

Under 12 would be 9
under 18 would be 13.5

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3 years ago

Read 2 more answers

A cafeteria offers oranges, apples , or bananas as it’s fruit option. Find the number of fruit and

Yuri [45]

Question:

A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random. what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?

Answer:

The probability of getting an orange and carrots is $\frac{1}{9}$

Step-by-step explanation:

The fruits offered in cafeteria = oranges, apples, or bananas.

The vegetables offered in cafeteria = peas, green beans, or carrots.

There are 3 fruits and 3 vegetables . Therefore the total possible number of outcomes is = $3 \cdot 3$ = 9

Now the probability of getting an orange and carrots = $\frac{1}{9}$

The possibility is very unlikely to happen

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4 years ago

Truer or false? subtracting 7 from the parent linear function results in a reflection in the x-axis

beks73 [17]

The parent linear function is y = x

A reflection in the x-axis is denoted by - f(x), so the answer is false

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1 year ago

The approximate value of 4 times 10 Superscript 9 divided by left parenthesis 1.5 times 10 Superscript 6 right parenthesis is

sashaice [31]

Simplify the expression. Write the answer in scientific notation. left parenthesis 9 times 10 Superscript negative 4 right parenthesis left parenthesis 6 times 10 Superscript negative 5 right parenthesis(9×10−4)(6×10−5)

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4 years ago