it's asking to write an equation in slope-intercept form for the line with slope -4 and y-intercept 7. then graph the line. please help ​

Answer:

c. 5.5

Step-by-step explanation:

Answer:

7x=5x/67

Step-by-step explanation:

Answer:

9.4km

Step-by-step explanation:

6.2^2 +7.1^2 = x^2

so 38.44+ 50.41= 88.85

x^2= 88.85 so x = 9.4

Sorry if it's really confusing lol, if you need help i could explain it further but your answer is 9.4

Answer:

Step-by-step explanation:

use the law of Cosines so that you can solve a SSS triangle

Cos(C) = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab

c is the side of 24 for our triangle and angle C is the top one in the picture.

C = arcCos ( [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab )

C = arcCos ( -32 / 480 )

C = 93.82255373 °

the angles at the top are each half of that or 46.91127 °

let's solve another angle for the big triangle now let's go for the one on the left and call it A

Cos(A) = [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc   where a = 20

A = arcCos( [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc)

A = arcCos( [tex]24^{2}[/tex] + [tex]12^{2}[/tex] - [tex]20^{2}[/tex] / 2*12*24

A = arcCos(320 / 576)

A = 56.2510 °

then angle B is  180 =93.823 + 56.251 + B

29.926 ° = B

so now we know all 3 angles.. seems like a lot of work , huh  :D

for the triangle with the question mark we now know two angles and the Hyp, so let's use Law of Sines to find that last side  :)

Sin(A)/a = Sin(B) /b  where A can be the angle at the top and B can be the angle at the base. which we have to find still  :/  

it's 180 = 46.9112 + 29.926 + B

103.162 = B

Sin(46.91127 ) / a = Sin(103.162) /20

Sin(46.91127 ) * 20 / Sin(103.162) = a

14.99998 = a    I feel confident this is supposed to be 15 and I have a tiny bit of rounding error..

? = 15   there you go  

your answer is 15

Answer:

It's B

Step-by-step explanation:

Because 10 less than 20 mean 20 is not greater so B. ) is correct

Answer:

1/32

Step-by-step explanation:

Because each denominator is multiplied by 2

Answer:

∠A=26º

∠B=137º

∠C=17º

Step-by-step explanation:

We can use the Law of Cosines because we have all 3 side lengths.

cosA = [tex]b^2+c^2-a^2/2bc[/tex]

cosA=28^2+12^2-18^2 / 2(28)(12)

cosA=604/672

cos-1(604/672

angle A ≈ 26º

cosB =  [tex]c^2+a^2-b^2/2ca[/tex]

cosB=-316/432

cos-1(-316/432

angle B ≈ 137º

26+137=163

180-163=17

angle C ≈ 17º

Answer:

Length = 100

Width = 50

Step-by-step explanation:

Given :

Length = 2 * width

If :

length = l

Width, w

l = 2w

Perimeter, P of rectangle :

P = 2(l + w)

P = 2(2w + w)

300 = 2(3w)

300 = 6w

w = 300/6

w = 50

l = 2w

l = 2(50)

l = 100

Answer:

([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Step-by-step explanation:

Using the factorising method, difference of 2 squares

a² - b² = (a - b)(a + b) , then

5n² - 16

= ([tex]\sqrt{5}[/tex] n )² - 4²

= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Answer:

Step-by-step explanation:

the nth term of a geometric sequence is

∙

x

a

n

=

a

r

n

−

1

where a is the first term and r the common ratio

r

=

a

2

a

1

=

a

3

a

2

=

...

...

=

a

n

a

n

−

1

here  

a

=

3

and  

r

=

9

3

=

27

9

=

3

⇒

a

10

=

3

×

3

9

=

3

10

=

59049

Answer:

Step-by-step explanation:

the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.  

They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.

We should recall:

diameter = 2 times the radius     circumference of a cirlce = 2π r

How do we find the diameter of the of the semi circle?

The perimeter of the semi circle is given as 108 cm

Perimeter of the semicirle =    2r + π r         diameter plus semi circumference

                                  108   =   r ( 2 + π)           factor out the r and solve for r

                     108 / (2 + π)   =   r                       divide both sides by ( 2 + r)

Now we know r, the perimeter of the squqre is 4 times 2r  or  8r

           perimeter of square = 8  [ 108 / (2 + π) ]               π  I used 3.14

                                             =  864 / 5.14

                                             =   168.1 cm       I got rounded to nearest tenth    

When I re-checked by work I found a few math,  logic and calculation errors.  Please re-check my answer for any more mistakes.

Answer:

21.13 m

Step-by-step explanation:

Height of the string, (Hyoptenuse) = 50 m

The kite makes an angle of elevation with the ground of 25°.

We need to find how high is the kite above the ground. Let it is h. We can find it using trigonometry as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\h=H\sin\theta\\\\h=50\times \sin(25)\\\\H=21.13\ m[/tex]

So, the required height is 21.13 m.

Answer:

BE=15

Step-by-step explanation:

Since E is the center, BE=2x+1

And AC is 6x-12 with E being a midpoint.

Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that

you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE

6x-12=4x+2

BD=AC

6x-4x-12=2

2x=2+12

2x=14

x=7

BE= 2x+1

2(7)=14+1=15

Answer:

hope help you stay happy and safe

Answer:

39.6

Step-by-step explanation:

if

10=22

18=x

18x22=396/10= 39.6

Step-by-step explanation:

√(20+5²)=√{20+25}=√45=3√5

Answer:

A number

Step-by-step explanation:

maths

jenny has 56 books

Step-by-step explanation:

So she has six more or 12% more

Answer:

5 x 5^2=125

Step-by-step explanation:

Answer:

v=Bh

12*8= 96. <---B

2 <----h

v=192

Step-by-step explanation:

I hope that helps

Answer:q=3

Step-by-step explanation:

14 multiplied by 3 equals 42

Answer: q = 3

Step-by-step explanation:

14q/14 = 1q

42/14 = 3

1q = 3

q = 3

Answer:

f(x) = 10x2 – 17x + 3

f(x) = 10x2 – 15x -2x + 3

f(x) = 5x(2x – 3) -1(2x - 3)

f(x) = (2x – 3)(5x -1)

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

IT ONE INCH NOW HURRY!!!

Answer:

D. y = -1/2x + 18.5

Step-by-step explanation:

First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.

(1, 18) & (6, 15.5)

Plug in these values:

(15.5 - 18) / (6 - 1)

Simplify the parentheses.

= (-2.5) / (5)

Simplify the fraction.

-2.5/5

= -1/2

This is your slope.

Now plug this into the standard slope-intercept equation: y = mx + b

y = -1/2x + b

b is the y-intercept, or the value of y when x = 0.

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 18). Plug in the x and y values into the x and y of the standard equation.

18 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

18 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

18.5 = b

Plug this into your standard equation.

y = -1/2x + 18.5

This is your equation.

Hope this helps!

Answer:

36 square inches.

Step-by-step explanation:

Since the original figure was a square, all four side lengths are equivalent. The area for the square will be:

[tex]A=s^2[/tex]

Where s is the length of one side.

One side is increased by nine inches and the other side was decreased by two inches. The area of the resulting rectangle is 60 square inches.

So, one of the new sides is (s + 9).

And the other is (s - 2).

The area with these dimensions is 60. Thus:

[tex]60=(s-2)(s+9)[/tex]

Solve for s. Distribute:

[tex]60=s^2+7s-18[/tex]

Isolate the variables:

[tex]s^2+7s-78=0[/tex]

Factor:

[tex](s+13)(s-6)=0[/tex]

Zero Product Property:

[tex]s+13=0\text{ or } s-6=0[/tex]

Solve for each case:

[tex]s=-13\text{ or } s=6[/tex]

A side length cannot be negative. So, our only solution is:

[tex]s=6\text{ inches}[/tex]

Since each side of the square measures six inches, the area of the original square will be 36 square inches.

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

904.32

Step-by-step explanation:

find the volume of the cylinder using V=πr^2h

V = (3.14)(6)^2(8)

V = 904.32

Answer:

hello!!

your answer is 22

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

-.8x + 4.8y + 16

hope this helps