Write the equation of a line perpendicular to the line 2x + 3y = 12 and passes through (9, -2). (fractions go in one box - use lower case letters)

Answer: A

Step-by-step explanation:since the dot on -3 is solid that means it is included or equal to. since the dot on 2 is not filled in that means not equal to that number but everything up to it, including everything from -3 up to but not including 2

Answer:

Correct answer is 0.67

Step-by-step explanation:

Answer:

y=-5/4x+1

Step-by-step explanation:

y- y-coordinate= slope(x- x-coordinate)

y- (-4)= -5/4 (x - 4)

y - (-4)= -5/4x +5

move (-4) to the other side of the equal sign, the sign changes to +4

y= -5/4x +5 +4

y=-5/4x+1

Answer:

ln (1 + sin^2(x)) + C

Step-by-step explanation:

Note that sin(2x) = 2 sin(x) cos(x).

So, the integrand is rewritten as:

(2 sin(x) cos(x)) / (1 + sin^2(x) ).

Now, make the substitution u = sin(x), so that du = cos(x) dx.  Thus, in terms of the variable u, the integrand is

(2 u )/(1 + u^2).

Make another substitution v = 1 + u^2, so that dv = 2 u du, and the integrand in terms of v is

1 / v

Now, we integrate, and then back substitute to write that the indefinite integral is

ln |v| + C = ln |1 + u^2| + C = ln |1 + sin^2(x)| + C + ln (1 + sin^2(x)) +C, since 1 + sin^2(x) + 1 is positive for all real x.

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given integral.

[tex] \displaystyle \rm = \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx[/tex]

[tex] \displaystyle \rm = \int \dfrac{2 \sin(x) \cos(x) }{1 + \sin^{2} (x) } \: dx[/tex]

Now let us assume that:

[tex] \rm \longmapsto u = 1 + { \sin}^{2}(x)[/tex]

[tex] \rm \longmapsto \dfrac{du}{dx} = 2 \sin(x) \cos(x) [/tex]

[tex] \rm \longmapsto dx = \dfrac{1}{2 \sin(x) \cos(x) } \: du[/tex]

Therefore, the integral becomes:

[tex] \displaystyle \rm = \int \dfrac{1}{u} \: du[/tex]

[tex] \displaystyle \rm = \ln(u) + C[/tex]

[tex] \displaystyle \rm = \ln(1 + sin^{2}x ) + C[/tex]

Therefore:

[tex] \displaystyle \rm \longmapsto \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx = \ln(1 + sin^{2}x ) + C[/tex]

Answer:

61

Step-by-step explanation:

(-7x)+5

Let x = -8

-7*(-8) +5

56+5

61

Answer:

61

Step-by-step explanation:

Here you are just substituting for x.

Since x = -8  we just plug that into the expression.

-7x + 5

-7(-8) + 5

56 + 5

= 61

Answer:

cccccccccccccccccccccccc

Answer:

Step-by-step explanation:

the answer is (4 x 4)+2

Answer:

o (4+2) x4   is the expression that means 4 batches of 4+2 teaspoons of vanilla.

Step-by-step explanation:

1c = t(4 + 2) is created as t = tspoon but any letter cna represent and maybe the o means teaspoons so lets compare

we see the brackets on (4+2) x4 and use this. And if you must put a 0 in front then I would also convert to show without 0 and show both

As long as brackets separate the (4x 2) to the 4 batches it becomes a workable expression.

When algebra becomes understandable for multiplying we show 4(4 +2)

because in brackets its always add or subtract, but we recognise mainly as the question is worked out first for one part being  1 cupcake = 1c

so 1c = 4t+2t

then;  4c = 4t+2t

we need to multiply the set as a reverse to usual equations that try to make you find what t or c means.

so as we are not subtracting the numbers either side of the = we can just demonstrate a multiplication

4( 4+2)t = 0(4+2) x 4

equation in bold = expression given and chosen

they both mean the same so we know the first one in bold is an equation and the 2nd one as asked is an expression

Answer:

90mm^2= 90×10^-2 = 0.9 cm^2

Answer:

D

Step-by-step explanation:

The x-axis is the horizontal line. Therefore D is directly on the line, making it on the x axis.

Answer:

Slope: 2/3

Step-by-step explanation:

Take the first point (2,1) as (x1, y1), and,

the second point (5,3) as (x2, y2).

Using the slope formula to calculate the slope:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

= (3-1)/(5-2)

= 2/3

Hence, the slope is 2/3

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Step-by-step explanation:

imjteiuddjddjjdjjdjsh

usudtdbiemsihdhhdud yeh dhejuehhee

Hope's this helps

Answer:

Example Problem

1,234 ÷ 4 = 308 r 2

Step-by-step explanation:

I wasn't able to find a long division symbol so im sorry for any confusion!

         0308

4 Γ1234

       −0      

         12    

       −12    

         03  

       −0  

         34

       −32

         2

Answer:

type b balls

Step-by-step explanation:

Answer:

b balls

Step-by-step explanation:

your mom

Answer:

-0.5 is the larger average rate

Step-by-step explanation:

-3.142 is less than -0.5

Answer:

By eating plants or other animals that contain nitrogen

Answer:

.72x + .27 = .36(x + 3)

Answer:

Step-by-step explanation:

The ratio given:

Toni receives $160, which is 5 portions.

Each portion is:

Shai gets:

Mara receives:

Step-by-step explanation:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Answer:

t=44°

U=92°

Step-by-step explanation:

V=W=44°

U=180-(44×2):92°

Answer:

x[f]=at^2/2+v[i]t+x[i]

Brackets dennote a subscript.

You're given x[f], a, t,and v[i]. You can just plug in their values into the formula and solve for x[i]. The horizontal velocity is irrelevant, the height of the tower is the initial position of the arrow, and final position is gonna be when it reaches the ground,or 0.

Answer:

s(t)=200(1/2)^t/13

Step-by-step explanation:

Here's answer:

https://www.nysedregents.org/algebratwo/619/algtwo62019-mrs.pdf

The number of years it will take for  1/10 of this substance to remain is; 50 years

The half life formula is;

N(t) = N₀(¹/₂)^(t/t_1/2)

where;

N(t) is quantity of the substance remaining

N₀ is initial amount of substance

t is time elapsed

t_1/2 is half life

Thus;

S(t) = 200(¹/₂)^(t/15)

We want to find the time it will take 1/10 of the substance to remain. Thus;

1/10 = (200/200)(¹/₂)^(t/15)

1/10 = (¹/₂)^(t/15)

t/15 = In(1/10)/In(¹/₂)

t/15 = 3.32193

t = 49.88 ≈ 50 years

Read more about Half Life at; https://brainly.com/question/26689704

Answer:

First find x

70-x=4x

-x-4x=-70

-5x=-70

x=14

Angle BEC = 70°-x

=70-14

=56°

Angle AEB = 180- 56

= 124°

Angle DEA =4x

= 4× 14

= 56°

Angle CED = 180-56

=124°

Answer:

you're supposed to distribute the 4 to whatever "n" is

[tex]slope = y2 - y1 \div x2 - x1[/tex]

[tex]6 - 1 \div - 2 - 3[/tex]

[tex]5 \div - 5 [/tex]

[tex] - 1[/tex]

[tex]y = mx + c[/tex]

[tex]1 = - 1 \times 3 + c[/tex]

[tex]1 = - 3 + c[/tex]

[tex]1 + 3 = c[/tex]

[tex]c = 4[/tex]

[tex]y = - 1x + 4[/tex]

[tex]y = - x + 4[/tex]

Answer:

Can you ask again with a picture? it's not clear with only text

Answer:D

Step-by-step explanation:the exterior angle of a triangle is equal to the sun of the opposite interior angles

120 =11x-6+10x

21x= 126

x=6

#1

[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]

[tex]\\ \sf\longmapsto 1-cos^2x[/tex]

[tex]\\ \sf\longmapsto sin^2x[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

Not if you want it to be a positive number. You can but it will be a negative.

Step-by-step explanation:

Answer:

8/12-1/5=7/15 reduce 8/12 to 2/3

Answer:

1....... range...............

Answer:

they include Quartile ,Inter-quatile , range......................

Step-by-step explanation:

Answer:

(1 + x)(1 - x)

Step-by-step explanation:

Step 1: Rewrite 1 as 1^2

Step 2: Apply difference of two squares formula [tex]x^2 - y^2 = (x+y)(x-y)[/tex]

Therefore, the answer is (1 + x)(1 - x).