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3 years ago

How many solutions does the following system have? Choose the explanation that best fits your answer. y=−12x+4,4x+8y=16

2 answers:

4 0

Equation 1) y = -12x + 4
Equation 2) 4x + 8y = 16

To find out how many solutions something has, you have to solve it first.

So, rearrange equation 1 so that x and y are on the same side. To do so, you add 12x to both sides.

1) 12x + y = 4
2) 4x + 8y = 16

Multiply all of equation 2 by 3.

2) 3(4x + 8y = 16)

Simplify.

2) 12x + 24y = 48
1) 12x + y = 4

Subtract equations from each other.

23y = 44

y = 44/23 OR 1 19/23

Because y has a solution, x does as well.

Because we know that, we do NOT have to solve the whole equation.

So, this set of equations has 1 solution.

~Hope I helped!~

snow_lady [41]3 years ago

3 0

There will be only one solution because the slope and the y-intercept are different meaning that they are not be parrell or will on top of one another.

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Keisha swims 18 feet from one side of her circular pool to the other swimming straight through the center. She then swims one ti

Ket [755]

Answer:

56.5 ft

Step-by-step explanation:

Here we know that:

- Keisha swims 18 feet from one side of her circular pool to the other swimming straight through the center --> this means that the diameter of the swimming pool is 18 feet, so

d = 18 ft

- Then, she swims one time around the entire edge of her swimming pool. --> this means that she swims along the perimeter of the swimming pool

The perimeter of a circle is given by

$p=\pi d$

where d is the diameter. Therefore in this case, the length of Keisha's second swim is:

$p=\pi \cdot d = 3.14 \cdot 18 =56.5 ft$

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3 years ago

find the equation of the tangent to the curve y=x^2-2x-3 at the points where the line y=5 cuts the parabol

olchik [2.2K]

ugh i hate tangents. never understood it

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3 years ago

Can Someone plz help? Thx

Andreyy89

Answer:

7. 2355 m

8. 1570 km

9. 157 cm

10. 40.82 m

Step-by-step explanation:

The circumference of a circle is pi * diameter or 2 * pi * radius.

If you are given the diameter, just multiply it by pi, 3.14.

If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.

7. d = 750 m

circumference = pi * d = 3.14 * 750 m = 2355 m

8. d = 500 km

circumference = pi * d = 3.14 * 500 km = 1570 km

9. r = 25 cm

circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm

10. r = 6.5 m

circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m

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3 years ago

Domain of the graphed relation

VashaNatasha [74]

"The domain is the set of all first elements of ordered pairs (x-coordinates).The range is the set of all second elements of ordered pairs (y-coordinates).Only the elements "used" by the relation or function constitute the range.

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4 years ago

The Giordanos buy $8400 worth of furniture for their new home. They pay $4000 down. The store charges 10% add-on interest. The G

vichka [17]

Answer: 56

Step-by-step explanation:

check on google if this answer is wrong

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4 years ago