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3 years ago

What is the slope and y-intercept of the following graph?

Mathematics

1 answer:

atroni [7]3 years ago

7 0

Answer:

Slope = 2

y - intercept = 5

Equation: y = 2x + 5

Step-by-step explanation:

Hope this helps!

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Find the values of x and y.

Elis [28]

Answer:

Option A

x=6 , y=9

Step-by-step explanation:

As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR

So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T

Similarly the Length of RT and the length of TP would be same

From all this we deduct that

3x = 2y ..................(i)

and

y + 3 = 2x ................(ii)

From equation (i)

3x = 2y

Dividing both sides by 3 the equation becomes

x= $\frac{2y}{3}$ ....................(iii)

Putting this value in equation (ii)

y + 3 = 2( $\frac{2y}{3}$ )

y+3 = $\frac{4y}{3}$

multiplying both sides by 3

3(y+3)= $\frac{4y*3}{3}$

the equation becomes

3y+9=4y

subtracting 3y from both sides

3y-3y+9=4y-3y

y=9

Putting the value of y in equation (iii)

x= $\frac{2*9}{3}$

solving it

x= $\frac{18}{3}$

x=6

so x=6 and y=9 is answer which is option A

5 0

3 years ago

Call an integer $n$ oddly powerful if there exist positive integers $a$ and $b$, where $b>1$, $b$ is odd, and $a^b = n$. How

azamat

Answer:

There are 16 oddly powerful integers less than 2010

Step-by-step explanation:

∵ b is an odd integer

∵ b > 1

∴ The first value of b is 3

∵ a is an integer

- We can use a = 1, 2, 3, ..........

∵ $a^{b}=n$

∵ n < 2010

- Let a = 1, 2, ............... 12 because 12³ is greatest integer < 2010

∵ 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343,

8³ = 512, 9³ = 729, 10³ = 1000, 11³ = 1331, 12³ = 1728

∴ There are 12 oddly powerful integers with b = 3

Now the second value of b is 5

$1^{5}=1$ but we took 1 before so we will start with 2

∵ $2^{5}=32$ , $3^{5}=243$ , $4^{5}=1024$

- $4^{5}$ is the greatest integer < 2010

∴ There are 3 oddly powerful integers with b = 5

Now the third value of b is 7

∵ $2^{7}=128$

- $2^{7}$ is the greatest integer < 2010

∴ There is 1 oddly powerful integers with b = 7

Now the fourth value of b is 9

∵ $2^{9}=512$

- $2^{9}$ is the greatest integer < 2010

- But we used 512 before

∴ There is no oddly powerful integers with b = 9

- 9 is the greatest value of b which makes $a^{b}$

∵ 12 + 3 + 1 = 16

∴ There are 16 oddly powerful integers less than 2010

5 0

3 years ago

How do you solve 3b(9b-27)=0

insens350 [35]

Answer:0

Step-by-step explanation:3b(-27 + 9b) = 0

(-27 * 3b + 9b * 3b) = 0

(-81b + 27b2) = 0

3 0

3 years ago

Read 2 more answers

Mr.Mitchell was doing an experiment about gratity he dropped a basketball off the roof of a building 53.9 feet tall . It took hi

IRINA_888 [86]

The basketball fell at rate of 9.8 feet per second

Step-by-step explanation:

The rate is the distance per unit time

Here

Given

Distance = height = h = 53.9 feet

time = t = 5.5 sec

The rate will be given as:

$Rate = \frac{Height}{time} = \frac{h}{t}\\= \frac{53.9}{5.5}\\= 1.78\\$

Hence,

The basketball fell at rate of 9.8 feet per second

Keywords: Division, decimals

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

I need help with this

mr Goodwill [35]

Answer:

Step-by-step explanation:

5 0

3 years ago

What is the slope and y-intercept of the following graph?​

What is the slope and y-intercept of the following graph?