How is the Pythagorean theorem related to the distance formula?Explain.

Answer:

⇒

y

=

−

2

x

+

13

Explanation:

You can use point-slope form to determine the slope

m

:

y

2

−

y

1

=

m

(

x

2

−

x

1

)

Given:

⇒

p

1

=

(

x

1

,

y

1

)

=

(

3

,

7

)

⇒

p

2

=

(

x

2

,

y

2

)

=

5,3)

Finding the slope:

3−7=m(5−3)−4=2m⇒m=−2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The solution of the given equation is not possible. Because different variables never multiply or divide

Answer:

2g-10

Step-by-step explanation:

-2(-g+5)  take the -2 and multiply each term in the ()

-2*-g= 2g  Two negatives multiplied turns it into a positive number

-2*5= -10

The answer is 2g-10

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

Answer:

I would say that it's A 1/3 because it's the slope and that's what a rate of increase is

Answer:

Categorical

Step-by-step explanation:

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

Answer:

9/40

Step-by-step explanation:

He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.

To add or subtract fractions, the denominators must be equal.

Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.

So first we convert 5/8 to 25/40.

Then we convert 2/5 to 16/40.

Now we can subtract them:

25/40 - 16/40 = 9/40.

9/40 cannot be simplified so this is the final answer.

There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Answer:

False

Step-by-step explanation:

The equation says 21 is greater than or equal to 27, so it is false

Answer:

39.46

Step-by-step explanation:

Answer:

do you how many there is 5 angles if thats what ur asking

Step-by-step explanation:

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Answer:

1/4

Step-by-step explanation:

you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose

an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.

Answer:

The answer is 144

Step-by-step explanation:

Answer:

Ummm...

8,784/61=

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

Answer:

I believe the answer is B let me know if it's wrong

Answer:

(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.

Answer:

x=33/7         m=7+x

Step-by-step explanation:

33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.

Answer:

x=33/7         m=7+x

Step-by-step explanation:

so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD

Answer:

x = -4

Step-by-step explanation:

there is no y-intercept when slope is undefined

Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point

Answer:

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

Answer: kg

Step-by-step explanation:

Answer:

C. x=4

Step-by-step explanation:

In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.