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3 years ago

Solve each system by adding or subtracting -2x-y=-5,3x+y=-1

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

Answer:

(-6,17)

Step-by-step explanation:

-2x-y=-5,

3x+y=-1

Add the two equations together to eliminate t

-2x-y=-5

3x+y=-1

-------------------

x = -6

Now that we know x, we can substitute it into one equation to find y

3x+y = 1

3(-6) +y = 1

-18 +y = -1

Add 18 to each side

-18+18 +y = -1+18

y = 17

(-6,17)

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The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of

Margarita [4]

Answer: 10:14, 15:21, 20:28

Step-by-step explanation: These are all multiples of 5 and 7.

5: 10, 15, 20

7: 14, 21, 28

So it is C. 10:14, 15:21, 20:28

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2 years ago

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Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than qua

Aneli [31]

Step-by-step explanation:

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2 years ago

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

Triss [41]

$f(x)=-4x+7\\
g(x)=10x-6\\\\\Substitute\ x=10x-6\ to\ f(x)\\
f(g(x))=-4(10x-6)+7\\
f(g(x))=-40x+24+7=-40x+31\\\\\
Solution\ is\ f(g(x))=-40x+31.$

8 0

3 years ago

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

<u>Answer:</u>

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

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3 years ago

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