What angles do you see in the letters E F L

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:

brainly.com/question/27956741

brainly.com/question/27947331

5 0

1 year ago

Read 2 more answers

What is the equation of a line that passes through (-6, 2) and has a slope of −1/2 ?

natta225 [31]

Slope = -1/2
(-6, 2)

y - 2 = -1/2 (x + 6)
y - 2 = -1/2x - 3
y = -1/2x -1

answer is B

3 0

3 years ago

If the perimeter of a square is 20, what is the length of the diagonal ?

Rina8888 [55]

Answer:

Step-by-step explanation:

if you know that the perimeter is 20,

then you have to divide by 4 to get the length of one side

20/4=5.

Draw the diagonal and write in it's length as x.

Use Pythagorean formula

Then know that a2+b2=c2

and use the two side lengths as a and b.

This gives you the equation

5^2+5^2=x^2.

Do the calculations and solve the equation.

25+25=x^2

50=x^2

√50=x.

Therefore x=√50 where x equals the length of the diagonal.

7 0

3 years ago

Please I need help!

Monica [59]

Answer:

1)

$\text{ Slope = -3}$

2)

$y+4=-\frac{7}{8}(x-7)$

3)

$y=-\frac{7}{8}x+\frac{17}{8}$

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

$m=\frac{3-(-4)}{-1-7}$

Subtract. So, our slope is:

$m=\frac{7}{-8}=-7/8$

2)

Now, let's use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

$y-(-4)=-\frac{7}{8}(x-7)$

Simplify. So, our point-slope equation is:

$y+4=-\frac{7}{8}(x-7)$

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

$y+4=-\frac{7}{8}x+\frac{49}{8}$

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

$y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}$

Subtract. So, our slope-intercept equation is:

$y=-\frac{7}{8}x+\frac{17}{8}$

And we're done!

7 0

3 years ago

Read 2 more answers

Miguel compró 253 Kilos de pescado para venderlo en su negocio, si decide vender cada kilo de pescado en Bs 1.900.000. Entonces,

Sveta_85 [38]

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.

7 0

2 years ago