Write an equation in point-slope form and in slope-intercept form for the line that passes through the given point

How can you do subtract three Digit numbers

Aleonysh [2.5K]

First off, you have to subtract the 3rd number, then carry the number if so, then do the same to the second and first number, did i help in any way?

4 0

3 years ago

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If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a

RSB [31]

Answer:

14 years old

Step-by-step explanation:

Define the variable

Let x be the actual age of Zeba (in years).

Create an equation using the give information and the variable x:

$(x - 5)^2=5x+11$

To find Zeba's age now, solve the equation for x.

Expand the brackets:

$\implies x^2-10x+25=5x+11$

Subtract 5x from both sides:

$\implies x^2-10x+25-5x=5x+11-5x$

$\implies x^2-15x+25=11$

Subtract 11 from both sides:

$\implies x^2-15x+25-11=11-11$

$\implies x^2-15x+14=0$

Factor the found quadratic

To factor a quadratic in the form $ax^2+bx+c$ , find two numbers that multiply to $ac$ and sum to $b$ , then rewrite $b$ as the sum of these two numbers:

$\implies x^2-14x-x+14=0$

Factor the first two terms and the last two terms separately:

$\implies x(x-14)-1(x-14)=0$

Factor out the common term (x - 14):

$\implies (x-1)(x-14)=0$

Apply the zero product property:

$\implies (x-1)=0 \implies x=1$

$\implies (x-14)=0 \implies x=14$

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an extraneous solution since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

Check

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as: 14 - 5 = 9

The square of 9 is: 9² = 81.

5 times her actual age: 5 × 14 = 70

81 is 11 more than 70, hence verifying that her actual age is 14 years old.

Learn more about quadratic equations here:

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brainly.com/question/27947331

5 0

1 year ago

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PLSSS HELP IF YOU TURLY KNOW THISS

Vlada [557]

Answer:

The missing exponent is 15.

Step-by-step explanation:

<h2>Brainliest Please!</h2>

4 0

2 years ago

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Is this formula correct?

Flura [38]

Hey there!!

Volume of a cone : πr²h/3

Where, πr²h is the volume of a cylinder.

Hence,

V cone = V cylinder / 3

Hence,

The above mentioned formula is wrong/false.

Hope my answer help!!

6 0

3 years ago

1. I am a three-digit number. My tens digit is 3 more than my

Tems11 [23]

Answer:

1. 474

2. 397

Step-by-step explanation:

1. If the three-digit number is xyz, then y = z + 3.

When rounded to the nearest ten and reduced by 320, the result is 150. 150 + 320 = 470, so x = 4. y = 6 if z ≥ 5, and y = 7 if z < 5.

So the number is either 463 or 474. 463 doesn't round to 470, so the answer is 474.

2. If the three-digit number is xyz, then z = x + 4. y is the largest of the three digits; since all the digits are odd, y is either 5, 7, or 9. So z is either 5 or 7, and x is either 1 or 3.

When rounded to the nearest hundred and reduced by 100, the result is 300. 100 + 300 = 400, and y > 5, so xyz is rounded up to 400, which means x = 3. So z = 7 and y = 9.

The answer is 397.

6 0

3 years ago