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3 years ago

11

Cassandra cut 5/16 inch of the top of a photo and 3/8 inch off the bottom. How much shorter is the total height of the photo now

?

1 answer:

IRINA_888 [86]3 years ago

6 0

3/8 -> 6/16

5+16 = 21

21/16 = 1 5/16

1 5/16 in shorter

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Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:Sum and Product of zeroes of the quadratic

andrew-mc [135]

Answer:

The sum and product of zeroes are 1 and 1/4, respectively.

Step-by-step explanation:

To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:

$16\cdot s^{2}-16\cdot s + 4 = 0$

By the General Quadratic Formula:

$s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}$

$s_{1,2} = \frac{1}{2}$

Which means that zeroes are $s_{1}=s_{2}=\frac{1}{2}$ .

The sum and product of zeroes are, respectively:

$s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}$

$s_{1}+s_{2} = 1$

$s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}$

$s_{1}\cdot s_{2} = \frac{1}{4}$

The sum and product of zeroes are 1 and 1/4, respectively.

4 0

3 years ago

Look at the attachment! This is algebra. 10 points!

boyakko [2]

If x∆y = 3x - y², then

5∆1 = 3×5 - 1² = 15 - 1 = 14

and

14∆6 = 3×14 - 6² = 42 - 36 = 6

So (5∆1)∆6 = 6.

6 0

2 years ago

The dimensions of a rectangle can be given by x+9 and x-2. If the area is 60ft^2, what is the value of X?

Anestetic [448]

Answer:

$x=5$

Dimensions of rectangle are

W=14 and L = 3

Step-by-step explanation:

Are of rectangle is

$A=WL$ --------(1)

Where W is width and L is length of rectangle

Here

A=60

W=x+9

L=x-2

Substituting values in equation (1)

$60 = (x+9) (x-2)$

$60 = x^{2} +9x -2x -18$

$x^{2} + 7x - 78 = 0$

Using quadratic formula

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

Here a=1, b=7 and C=-78

$x= \frac{-7 +/- \sqrt{7^{2} - 4(-78)} }{2}$ (Here +/- = ±)

$x= \frac{-7 +/- \sqrt{ 49 + 312} }{2}$

$x= \frac{-7 +/- \sqrt{ 361} }{2}\\x= \frac{-7+/- 19}{2}$ $x= \frac{-7 + 19 }{2} \ \ and \ \ x= \frac{-7-19 }{2}$

$x= \frac{12 }{2} \ \ and \ \ x= \frac{-26 }{2}$

$x= 5 \ \ and \ \ x= -13$

x cannot be negative (Negative x means -ve dimensions of rectangle). Therefore

$x=5$

Dimensions of the rectangle are

$W=x+9 = 5+9 = 14$

$L= x - 2 = 5-2 = 3$

5 0

3 years ago

How do you simplify 8/21

Zina [86]

To simplify 8/21 you find a factor that will go into each number. This problem cannot be simplified as a fraction but you can turn it into a decimal. To turn it into a decimal you will divide 8 by 21. The fraction in decimal form is <span>0.38095238095.</span>

8 0

3 years ago

1 over 4a = 2 over 3. Which of the following equals a in this equation? 1 over 6 3 over 8 11 over 12 22 over 3

Elis [28]

Answer:

Option B, 3 over 8

Step-by-step explanation:

<u>Step 1: Make an equation</u>

1/4 * 3/2 = a

3/8 = a

Answer: Option B, 3 over 8

4 0

4 years ago