If a line passes through (6,4) and (12,7), what is the slope? I really need help and if you can please explain how you got the asnwer

Answers:

x = 14

y = 14

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

Explanation:

The tickmarks indicate the sides x and y are the same length.

So y = x or x = y

We can use the Pythagorean theorem to say

a^2 + b^2 = c^2

x^2 + y^2 = (14*sqrt(2))^2

x^2 + x^2 = 14^2*(sqrt(2))^2

2x^2 = 196*2

x^2 = 196  ...... divide both sides by 2

x = sqrt(196)

x = 14

This must mean that y = 14 as well.

This triangle is an isosceles right triangle. We also consider it a 45-45-90 triangle because the three angles are 45, 45, and 90 degrees.

For any 45-45-90 triangle, the hypotenuse is always sqrt(2) times the leg length.

hypotenuse = leg*sqrt(2)

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Just take the larger exponent and subtract the smaller exponent and it becomes --> [tex]\frac{1}{2^{2}}[/tex]

[tex]\frac{1}{2^{2}}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

r≈7cm

Step-by-step explanation:

Using the formula

V=4

--------= πr^3

    3

r=(3V

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

4π)⅓=(3·1436

4·π)⅓≈6.99877cm

the answer is 7cm

Answer:

C. 7 cm

Step-by-step explanation:

Took the quiz. Trust

Answer:

x^5-25x^3-4x+144/x

Step-by-step explanation:

x^4-25x^2+144 by x-4

Write the division as a fraction

x^4-25x^2+144/x -4

Write all numerators above the common denominator

x^5-25x^3+144-4x/x

Use the commutative property to reorder the terms

x^5-25x^3-4x+144/x

if you can give me brainliest thad be amazing! if not thats fine as well, hope this helps

Answer:

3.3 meters

Step-by-step explanation:

h(3)=-9.8(3)^2+30(3)+1.5

=-88.2+90+1.5

=3.3

Answer:

A hemisphere (three-dimensional object) is generated by rotating the two-dimensional figure about the line y=2.

Step-by-step explanation:

The graph shows a figure of semicircle. When it is rotated by its top it will produce a hemisphere of diameter 4 units.

Answer:

x =-7. .y=6

Step-by-step explanation:

3x + 2y = -9

(X – Y = -13)×3

3x + 2y = -9

3x – 3y = -39

5y = 30

y=6

3x +2(6)=-9

3x=-21

x=-7

Answer:

=−24y9

Step-by-step explanation:

4y2(−6y7)

=4y2*(−6y7)

=4*y2*(−6)*y7

=(4*(−6))*(y2*y7)

=−24*y9

Answer:

1 1/3

Step-by-step explanation:

Answer: 10.5 :) good luck!

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.5

Answer:

288

Step-by-step explanation:

1. Use the formula: P*T=N

P = percent, T = Total, and N is the other number.

2. So, P*T=N, therefore, 25%*T=72

3. Simplify .25*T=72

4. So get the Total (T) by itself, you have to divide both sides by .25

5. T = 72/.25

6. 288

Answer:

80

Step-by-step explanation:

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Answer:

31.4 in

Step-by-step explanation:

This is a tricky question,

if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.

Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:

Circumference = 2πr

= 2 x 3.14 x 5

= 31.4 in

Answer and Step-by-step explanation:

C = circumference = 43.96

d = diameter = 14

C = [tex]\pi d[/tex]

Divide both sides by d.

[tex]\frac{C}{d} = \pi[/tex]

[tex]\frac{43.96}{14}[/tex] = [tex]\pi[/tex]

3.14 [tex]= \pi[/tex]

#teamtrees #WAP (Water And Plant)

X=1    Y=0

Y-12X+15+3X^2-16X+13-Y=3X^2

-12X+15-16X+13=0

-28X+28=0

X=1

Y=3-16+13=0

Answer:

x+74=135

x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)

Answer:

it is true because you would divide by a negative

Answer:  \frac{2}{5}  ; or, write in decimal form:  0.4 .

Step-by-step explanation:

Rewrite as:

_______________________

    [tex]\frac{4x}{7} = \frac{8}{35}[/tex] ;

________________________

Now, "Cross-factor multiply":

that is:

_____________________

 → Given:   [tex]\frac{a}{b} =\frac{c}{d}[/tex]  ;

    → ad = bc ;  (b≠0 ; d≠0) ;

_____________________

As such:

 4x * 35 = 7 * 8 ;

_______________________

We can divide one side of the equatiuon by "4" ; and one side by "7" :

  [tex]\frac{4x*35}{4*7} = \frac{7*8}{4*7}[/tex] ;

_______________________

We can simplify the "left-hand side":

 "4/4 = 1 " ; and "35/7 = 5 " ; & we are left with "x * 5" ; or "5x " .

________________________

We can simplify the "right-hand side":

 "7/7 = 1 " ; and: "8/4 =2 " ; to get: "2/1" ; which equals "2".

_________________________

So; we have:  " 5x = 2 " ; Solve for "x" ;

__________________________

  Divide each side of the equation by "5" ; to isolate "x" on one ide of the equation; & to solve for: "x" ;

__________________________

  " 5x/5 = 2/5 " ;  We cancel out the "5x/5" to "1x"; which equals "x":

    → x = [tex]\frac{2}{5}[/tex]  ;  or, write in decimal format:  "x = 0.4" ;

___________________________

\frac{2}{5}

____________________________

Hope this is helpful!  Best wishes in your academic pursuits—and within the "Brainly" community!

____________________________

Answer:

[tex]x = 0.4[/tex]

Step-by-step explanation:

[tex]\frac{7}{4} x \frac{4}{7} = \frac{7}{4} x \frac{8}{35}[/tex]

Reduce the number with the greatest common factor 7

[tex]\frac{1}{4} x 4x= \frac{7}{4}x\frac{8}{35}[/tex]

[tex]x=\frac{7}{4}x\frac{8}{35}[/tex]

[tex]x=7x\frac{2}{35}[/tex]

[tex]x=\frac{2}{5}[/tex]

Answer:

X=2

Step-by-step explanation:

3x = x + 4

3x - x = 4

2x = 4

x = 4/2

x = 2

Check:

3(2) = 2 + 4

6 = 6

Answer: -5x+2y

Step-by-step explanation: Have a brilliant day! - Lily ^_^

Answer:

105

Step-by-step explanation:

Given the sequence of numbers

5,15,35,65

First lets get the common difference

d1 = 15-5 = 10

d2 = 35 - 15 = 20

d3 = 65-35 = 30

We can see that the differences form an arithmetic sequence

10, 20, 30..

Let's get the next term fist

Tn = a + (n-1)d

T4 = 10+(4-1)(10)

T4 = 10 + 3(10)

T4 = 10+30

T4 = 40

This means that the next term of the original sequence will be gotten by adding 40 to the preceding value

Next term = 65 + 40

Next term = 105

Hence the next term is 105

Answer:

C. 452.16 cm2

Step-by-step explanation:

A= π r^2 = π · 12^2 ≈ 452.38934 or 452.38

The closest answer to that listed is C

formula:(A = π r²)

π = 3.14

r(radius)^2= radius to the second power.

Answer

600:120

Step-by-step explanation:

5+1 = 6

720/6 = 120

1 = 120

5 = 120 x 5 = 600

Answer:

C 15

Step-by-step explanation:

20÷4x3=15

Answer:

C. 15

Step-by-step explanation:

If B's side length is 20, that means in the ratio 3:4 the 4 represents B's side length.

Multiply both sides of the ratio by 5:

15: 20

The answer is 15.

Answer:

The Answer is F

Step-by-step explanation:

first you do the first pair of parenthesis which out give you

24 - (3•2•2) Then you do the second pair of parenthesis, in which would give you 24 - 12 which is equal to 12.