All categories

3 years ago

Is (5,3) a solution to this system of equation X+y=8 17x+17y=8

Mathematics

1 answer:

Degger [83]3 years ago

5 0

(5, 3)

x y

Plug in:

x + y = 8

5 + 3 = 8

8 = 8

Plug in:

17(5) + 17(3) = 8

85 + 51 = 8

136 = 8

Answer - No, (5, 3) is not a solution to this system of equations.

You might be interested in

Giselle works as a carpenter and as a blacksmith. She earns \$20$20dollar sign, 20 per hour as a carpenter and \$25$25dollar sig

Pani-rosa [81]

She earns 20 dollars as a carpenter and 25 dollars as a blacksmith

b+c=30 hours since she works 30 hours a week

25b+20c=690 since she earns 690 dollar totally and earns 25 dollars an hour as a blacksmith and 20 dollars an hour as a carpenter

lets multiply b+c=30 by -20

-20b-20c=-600

if we substract that from

25b+20c=690

5b=90

b=18 she worked as a blacksmith for 18 hours

4 0

3 years ago

Your wife has asked you to pick up a bottle of her favorite shampoo. When you get to the store, you can't remember which brand s

Vlad1618 [11]

1 out of 9 is the probability <span />

4 0

4 years ago

Read 2 more answers

The graph below shows the number of plates arranged on different numbers of tables in a room: A graph is shown. The values on th

lesya692 [45]

Answer:

Step-by-step explanation:

Took the test

3 0

3 years ago

Read 2 more answers

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

In a 30°- 60° - 90° right triangle, the longer leg has a length of 10 square root of 3. what is the length of the shorter leg?

shutvik [7]

In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
the shorter leg is 10.

3 0

3 years ago