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2 years ago

show that, except for 2 and 5, every prime number can be expressed as 10k+1, 10k+3 10k+7, 10k+9, where k is an interger

1 answer:

8 0

10(6)+1=61
10(15)+3=153
10(4)+7=47
10(9)+9=99

this is true because when you multiply a number by 10 it will be an even number(2,4,6,8,etc...)...then when you add an odd number to that the number will turn odd(153,47,99,etc..)... and when you multiple integers they will always multiply to an even number

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plesee help me do I need it under 25min and don't answer if you don't know or else u will be reported thank you (◔‿◔)

34kurt

Answer:

l = 2.25 cm

Step-by-step explanation:

given l is inversely proportional to w² then the equation relating them is

l = $\frac{k}{w^2}$ ← k is the constant of proportion

(i)

to find k use the condition w = 1.5 , l = 16 , then

16 = $\frac{k}{1.5^2}$ = $\frac{k}{2.25}$ ( multiply both sides by 2.25 )

36 = k

l = $\frac{36}{w^2}$ ← equation of proportion

(ii)

when w = 4 , then

l = $\frac{36}{4^2}$ = $\frac{36}{16}$ = 2.25 cm

3 0

1 year ago

Write an equation that is perpendicular to the line 8x-4y=12 and pass through the origin

fenix001 [56]

Answers

Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

8x-4y=12
-8x. -8x

-4y=-8x+12
/-4. /-4

Y=2x-3

So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite

So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

Y=-1/2x or y=-1/2x +0

I hope I explain this well!

Please mark as Brainliest

7 0

2 years ago

Please help me no links!!

kaheart [24]

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

6 0

3 years ago

Read 2 more answers

What statement is true?

givi [52]

Answer:

$\frac{18}{32}>\frac{16}{32}$

Step-by-step explanation:

We need to find which statements are true.

Solution to find the same we will solve each statement and will conclude the same.

1. $\frac{14}{21}>\frac{17}{24}$

Now On solving we get;

$\frac{14}{21} = 0.66$

$\frac{17}{24}=0.70$

So we can see that 0.70 > 0.66

Hence The given statement is False.

2. $\frac{18}{32}>\frac{16}{32}$

Now On solving we get;

$\frac{18}{32}=0.5625$

$\frac{16}{32}= 0.5$

So we can see that 0.5625 > 0.5

Hence The given statement is True.

3. $\frac{20}{15}$

Now On solving we get;

$\frac{20}{15} = 1.33$

$\frac{28}{23}=1.2$

So we can see that 1.33 > 1.2

Hence The given statement is False.

4. $\frac{29}{35}$

Now On solving we get;

$\frac{29}{35}= 0.82$

$\frac{20}{30}= 0.66$

So we can see that 0.82 > 0.66

Hence The given statement is False.

7 0

3 years ago

What is the focus of the parabola? y=−14x2−2x−2

nataly862011 [7]

First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:

y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²

This is a vertical parabola and its focus (h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).

Or (-0.071,-1.977).

3 0

2 years ago