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3 years ago

Simplify 6 -square root of 15 divided by 2

Mathematics

1 answer:

egoroff_w [7]3 years ago

6 0

Answer:

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Step-by-step explanation:

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The product of two consecutive even integers is 224. what are the integers?

algol [13]

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2) = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

<u>Check:</u>

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

3 0

2 years ago

Read 2 more answers

Please answer it quickly... i will give brianliest

miskamm [114]

Answer:

2 and - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 6x + 9 ( divide all terms by 3 )

y = 2x + 3 ← in slope- intercept form

with slope m = 2

(i)

Parallel lines have equal slopes, thus

the slope of line t is 2

(ii)

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$ , thus

the slope of line r is - $\frac{1}{2}$

3 0

3 years ago

What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
or

${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

5 0

3 years ago

Read 2 more answers

You decided to put the 94 lollipops on sale.if you charge 70cents and put them on sale for buy one,get one free,will you be char

Svet_ta [14]

$0.70 for 2 lollipops
X for 94 lollipops
So, 2X=94*0.70
X= (94*0.70)/2 = 65.8/2
X= $32.9
The answer is YES. They are charging enough money to get $32.90 after selling 94 lollipops on sale for buy one and get one for free.

8 0

2 years ago

I drive from Town a to my home and then to town b. The journey time is 50 minutes. What is my average speed

Aloiza [94]

Answer:

4 miles per minute

Step-by-step explanation:

Please kindly see the attached file for explanation

8 0

2 years ago