All categories

3 years ago

The sum of the squares of three consecutive positive even numbers is 12296. Find the product of the three numbers divided by 8.

Mathematics

1 answer:

son4ous [18]3 years ago

5 0

Answer: 32,736
Hope this helps

You might be interested in

Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

4 years ago

tell whether the ratio is in simplest form, if not, then write it in simplest form 1)8:6 2)48/28 3)7 to 9

Nady [450]

8/6= 1 1/3

48/28= 1 4/7

7/9 is in simplest form

8 0

3 years ago

Find the angle measure of PQR

sineoko [7]

Answer:

<em>64 degrees</em>

Step-by-step explanation:

When you have the SRQ angle, you can easily solve for PQR. Luckily, we're given that QRP and PRS are 32 and 84, respectively. Adding this together gives you 116. 116*2 = 232 and 360-232 = 128, and 128/2 = 64.

<em>Please Mark Brainliest if this helps!</em>

8 0

3 years ago

Need help 25 pts who can help me

Rashid [163]

Answer:

Number 1 should be 2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How do you do this equation

RUDIKE [14]

When you solve, a quadratic formula is set up as ax^2+bx+c so in this scenario a is 1, b is -1 and c is -6.
-(-1)+- √- 1^2-4(1)(-1)/2(1) is
1+/-√1+4/2 equals -2 and 3 making the answer c

4 0

3 years ago