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3 years ago

An equations'system

1 answer:

3 0

$1. \: x = \frac{11}{9} y + \frac{5}{9} \\ x = \frac{5}{6} y + \frac{1}{6} \\ \\ 2. \: x = \frac{3}{2} y + 2 \\ x = \frac{3}{2} y + 2$

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Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller

horsena [70]

Answer: 20 feet by 20 feet.

Step-by-step explanation:

1. You know that $x$ is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for $x$ , as you can see below:

- You have that:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

- Then, you obtain the following quadratic equation:

$(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0$

- Apply the Quadratic formula to solve it:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80$

- Then, you obtain:

$x_1=20\\x_2=-4$

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.

3 0

3 years ago

Read 2 more answers

W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3

Novosadov [1.4K]

Answer:

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

2x + 5 = 4x - 3 <em>subtract 5 from both sides</em>

2x = 4x - 8 <em>subtract 4x from both sides</em>

-2x = -8 <em>divide both sides by (-2)</em>

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

7 0

3 years ago

Please answer this correctly without making mistakes

Mnenie [13.5K]

Answer:

Step-by-step explanation:

750,000,000 times 10^5 can be expressed as 7.5 times $10^{11}$

7.55 times 10^13 is greater than 7.5 times 10^11.

3 0

3 years ago

Read 2 more answers

You have $10,000 to deposit in a savings account that earns simple interest at a rate of 4.5% per year. how much interest will b

postnew [5]

0.045×10,000×2 =900..............

7 0

3 years ago

Laws of cosines!!! find B round to the nearest tenth!!!! second time posting this help ASAP!!!

Nookie1986 [14]

Answer:

32.7°

Step-by-step explanation:

Use the formula for law of cosines, for this question we need so solve for angle B, so use...

b² = a² + c² - 2(a)(c)Cos B

We are given a, b, and c, so plug them in...

55² = 90² + 50² - 2(90)(50)Cos B

Now simplify...

3,025 = 8100 + 2500 - (9000)Cos B

-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)

0.841666667 = Cos B (divide both sides by -9000)

Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)

32.68346376° = B

32.7° = B

3 0

3 years ago