what is the equation of the straight line that passes through the point (2,-4) with the slope -2?

Answer:

The slope is -1/2

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}[/tex]

Answer:

h = 16.5

Step-by-step explanation:

Remark

The formula below really is the Pytharagan formula disguised.

h^2 = hypotenuse (side)^2 - (1/2 side)^2

Givens

side = 19 cm

Solution

h^2 = 19^2 - (1/2*19)^2      Substitute given into formula

h^2 = 361 - (9.5)^2            square 9.5

h^2 = 361 - 90.25             Subtract

h^2 = 270.75                    Take the square root of both sides

√h^2 = √270.75

Answer: h = 16.5

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

           .....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

⇒

Therefore, an equation to model the growth of the investment is,

Answer:

Male

Step-by-step explanation:

There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!

Answer:

okay so the area is 1386inches2

Step-by-step explanation:

[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]

Answer:

y = 6 x + 1

y = 1 x + 1

'^' :)))))

Answer:

5 days

Step-by-step explanation:

26+35+41+ 18 = 120

120/24 = 5

Answer:

2,591 esta bien la respuesta

Answer:

282.74

Step-by-step explanation:

Answer:

[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]

Step-by-step explanation:

Given:

Shape of object = cylinder

height of cylinder= 4 inches

radius of cylinder= 5 inches

To find:

surface area of cylinder = ?

Solution:

we know that,

[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]

THANKS FOR JOINING BRAINLY COMMUNITY!

Answer:

R is reflexive and transitive but not symmetric.

Step-by-step explanation:

R = {(a, b); a ≤ b}

Clearly (a, a) ∈ R as a = a.

R is reflexive.

Now,

(2, 4) ∈ R (as 2 < 4)

But, (4, 2) ∉ R as 4 is greater than 2.

R is not symmetric.

Now, let (a, b), (b, c) ∈ R.

Then,

a ≤ b and b ≤ c

→ a ≤ c

→ (a, c) ∈ R

R is transitive.

Thus, R is reflexive and transitive but not symmetric.

Answer:

1.25a-4.4

Step-by-step explanation:

you take :1.5a+0.25a-0.5a=1.25

then:4.7+0.3=4.4

1.25a-4.4

but am not sure sorry

Answer:

Step-by-step explanation:

Collect like terms and simplify

Answer:

Step-by-step explanation:

Answer:

1.91 ft

Step-by-step explanation:

Formula

where :

Solving for r

Answer:

its already on brainy hope this helps

Step-by-step explanation:

The rate of giant tortoise is 1/10 meters per each second.

The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant tortoise to travel 5 meters?

1 second : 1/10 m = X : 5 m

1/10x = 5

x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?

1 second : 1/2 m = X : 10 m

1/2x = 10

x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.

So the cooter turtle can travel 10 meters in 20 seconds.

Answer:

I do know what that is saying it's saying the rise of the line is going to be -6 and the run is going to be 2.

Step-by-step explanation:

Your supposed to graph a line I don't exactly remember how to do it but yeah you're supposed to graph the line.

Answer:

x=-5/2

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]6^{x+3} = \sqrt{6}[/tex]

We want to find the value of x

This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation

On the left side, we have 6 (the base) raised to the power of x+3

On the right, we have √6

Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]

Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]

Rewriting the equation then:

[tex]6^{x+3}=6^\frac{1}{2}[/tex]

Both sides have the same base (6)

Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.

This means:

x + 3 = 1/2

Subtract 3 from both sides

x+3=1/2

  -3   -3
___________

x = -5/2

Hope this helps!

Answer:

See below ↓↓↓

Step-by-step explanation:

a) 2 . 1 4 0             b) 2 9 . 9 9          c) 6 . 1 5 7

+ 1 . 7 2 5              +    1 . 4 2             - 1 . 0 0 9

   3 . 8 6 5                 3 1 . 4 1               5 . 1 4 8

Answer:

f(x) = -x^2 + x + 12.

Step-by-step explanation:

f(x) = a(x - 4)(x + 3)    as the x-intercepts are  -3 and 4.

a is some costant.

At the y intercept x = 0 so we have:

y = 12 = a(0-4)(0+3)

12 = -12a

a = -1

So our eaution is f(x) = -(x - 4)(x + 3)

= -(X^2 - x - 12)

=  -x^2 + x + 12

Answer: About 10.2857 years

=============================================================

Explanation:

For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.

For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.

In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.

-------------

Extra Notes:

Answer:

the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)

Solution 1

7(g - 19) ≥ -14

7g - 133 ≥ -14

7g  ≥ -14 + 133

7g ≥ 119

g ≥ 17

Solution 2

3(7g+17) > -19 + 14g

21g + 51 > -19 + 14g

21g - 14g > -19 -51

7g > -70

g > -10

Solution 3

6(-6g + 6) > -2(19g - 17)

-36g  +36 > -38g + 34

-36g + 38g > 34 - 36

2g > -2

g > -1

Answer:

0

Step-by-step explanation:

since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number

for example

2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder

Answer:

a. y = 10

b. x = 5 - (5y/2)

c. y = 6x - 11

Step-by-step explanation:

a.

2(y - 3) = 4

2y - 6 = 4

2y = 10

y = 5

b.

2x + 5y = 10

2x = 10 - 5y

x = 5 - (5y/2)

c.

6x + 3y = 4y + 11

6x = y + 11

y = 6x - 11

d.

I don't know this one, sorry.

Answer:

X' (-8,-2)

Step-by-step explanation:

You move -6 two spaces to the left making -8 and 3-5 = -2

Answer:

y= .5x+2

Step-by-step explanation:

Slope= 2/4 (rise over run) = .5

B/ y intercept = 2

y=.5x+2

Answer:

that would be C.) 1 and 1/8

Step-by-step explanation:

becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8

Answer: c

Step-by-step explanation:

Add the numerators

7+2=9

8 out of the 9 will make a whole number

9-8=1

The last 1 in the numerators will make 1/8

1 and 1/8