solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
​

Answer:

21.3 cm^2

Step-by-step explanation:

The altitude from vertex A to side BC has length

h = 8 sin 26.4°

h = 3.56

area = bh/2

area = 12 cm * 3.56 cm / 2

area = 21.3 cm^2

Answer:

21.312

Area= (a x b x sin c)/2

or you can use heron's formula (look that one up)

area = (8* 12* sin(26.4))/2 = 21.312

Step-by-step explanation:

Answer:

x ≥-24

Step-by-step explanation:

3 - x/2 ≥ 15

Subtract 3 from each side

3-3 - x/2 ≥ 15-3

-x/2 ≥12

Multiply by -2

-x/2 * -2 ≥12 *-2

x ≥-24

Answer:

A. x ≤ 24

Step-by-step explanation:

multiply both side by 2 . Since 2 is the positive the inequality direction remains the same.

subtract 6 from both sides

Divide both side by - 1. Since -1 is negative, the inequality direction remains the change.

Answer:

The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:

[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]

Using Point One, the point-slope form is determined as:

[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]

The y-intercept(b) can be calculated as:

[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]

Hello!

7(x + 8) = 84 <=>

<=> 7x + 56 = 84 <=>

<=> 7x = 84 - 56 <=>

<=> 7x = 28 <=>

<=> x = 28 : 7 <=>

<=> x = 4

Good luck! :)

Answer:

I can't understand your question friend.

Answer:

The x and y coordinates swap position

Step-by-step explanation:

Given

Reflection across: [tex]y = x[/tex]

Required

What happens to the coordinate

When a point is reflected about [tex]y = x[/tex], the x and y coordinates swap position

i.e.

[tex](x,y) \to (y,x)[/tex]

Answer:

When the shape reflects about the line y = x, the x-coordinate and the y-coordinate of each point are swapped.

Step-by-step explanation:

Answer:

B) =−7j−k−1

Step-by-step explanation:

10k+17-7j-18-11k what we have

=(−7j)+(10k+−11k)+(17+−18) combine like terms

=−7j−k−1

Answer:

-7j-k-1

Step-by-step explanation:

for this problem you have to subtract the like terms while following the order of the equation (start with the terms on the left and move terms)

Step 1:

-7j has no like terms

= -7j

Step 2:

10k and -11k are like terms

10k-11k

= -1k

Step 3:

17 and -18 are like terms

17-18

= -1

Step 4:

put all simplified terms together

=-7j-k-1

Answer:

([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)  

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x=[tex]\frac{-7}{3}[/tex]

now we need to find y

remember: y=5x+13

substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13

y=5([tex]\frac{-7}{3}[/tex])+13

multiply

y=[tex]\frac{-35}{3}[/tex]+13

add

y=[tex]\frac{4}{3}[/tex]

So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])

Hope this helps! :)

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

,

0

)

y-intercept(s):

(

0

,

−

8

)

Given:

The two equations are:

[tex]y=\dfrac{2}{3}x-5[/tex]

[tex]y=-2x+3[/tex]

To find:

Whether (-3,-3) is a solution of the given equation or not.

Solution:

Table of values for [tex]y=\dfrac{2}{3}x-5[/tex],

x         y

0        -5

7.5      0

Plot the points (0,-5) and (7.5,0) on a coordinate plane and connect them by a straight line.

Table of values for [tex]y=-2x+3[/tex],

x         y

0        3

1.5      0

Plot the points (0,3) and (1.5,0) on a coordinate plane and connect them by a straight line.

From the below graph, it is clear that the graphs of both lines intersect each other at (3,-3). So, the solution of given equations is (3,-3) instead of (-3,-3).

Therefore, she is incorrect because the correct solution is (3,-3).

Answer:2x^2 + 7x - 30

Step-by-step explanation:

1. x(2x-3)(x+3)^2

2. x(2x-3)(x+10)

3. 2x^2+10x-3x-30

4. 2x^2+7x-30

Answer:

541m

Step-by-step explanation:

The scale given 1 represents the height of the model and 10000 represents the actual height,place the 5.41 in line with the one and an unknown letter in line with the 10000 inorder to calculate the actual height

1:10000

5.41:x

cross multiply and solve for x,which will be 54100cm

but since the answer has to be in meters convert the 54100cm to a meter by dividing it by 100..

Answer:

because when two negatives are together they can't add

Step-by-step explanation:

because when two negatives are together they can't add no matter if there's an addition sign

Answer:

10x

Step-by-step explanation:

Since there are 10 mm in one cm, the expression would be 10x.

Hope this helps!

Answer:

10

Step-by-step explanation:

As we know that 1cm=10mm

so the expression would be 10x.

Answer:

+4 and -4

Step-by-step explanation:

x² + 16=0

x=-√16

x=-4 or +4

Answer:

620

amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620

Answer:

I'm sorry but no idea

Step-by-step explanation:

No idea

Answers:

y intercept = -4

slope = -1

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

Explanation:

The given equation is the same as y = -1x + (-4)

Compare this to y = mx+b form, and we see that

m = -1 is the slope

b = -4 is the y intercept

To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.

Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 =  -1/1.

Answer:

1/2

Step-by-step explanation:

Answer:

The answer is 1.5

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5[/tex]

i hope so..

Answer:

A. y = | x - 6 | - 3

Step-by-step explanation:

Hope this is helpful

Answer:

D

Step-by-step explanation:

when you look at the graph you can notice a kind of a curve at that point x is -6 and Y is -3 so what u have to do is replace -6 in position of x in the 4 answers and the one who's Y = -3 is your answer

Answer:

496 in.²

346 mm²

880 in.²

168 cm³

960 m³

420 yd³

Step-by-step explanation:

SA = 2(wl + hl + hw)

SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)

SA = 496

SA = 2(wl + hl + hw)

SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)

SA = 346

SA = 2(wl + hl + hw)

SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)

SA = 880

V = whl

V = 4 · 7 · 6

V = 168

V = whl

V = 10 · 8 · 12

V = 960

V = whl

V = 14 · 3 · 10

V = 420

Answer:

please mark me a brainliest

[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]

[tex] \frac{6 + x}{4} = 1.8[/tex]

6 + X = 1.8 * 4

6 + X = 7.2

X = 7.2 - 6

X = 1.2

So therefore the value of X is 1.2

Step-by-step explanation:

Have a good day

Have a good day And I hope this will help

═══════ღ❦ღ══╮

[tex]\boxed{ \sf{Answer}} [/tex]

↦ First find the value of x

[tex]27x = 45263514282 \\ x = \frac{45263514282}{27} \\ x = 1676426454.89[/tex]

↦ Now, find the value of 200x

[tex]x = 1676426454.89 \\ 200x = 200 \times 1676426454.89 \\ 200x = 335285290978[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Given that,

→ 27x = 45263514282

Then we have,

To find the required value of 200x.

Before that,

find the required value of x.

→ 27x = 45263514282

→ x = 45263514282/27

→ [x = 1676426454.89]

Now we can,

Solve for the value of 200x.

→ 200x

→ 200 × (x)

→ 200 × (1676426454.89)

→ 335285290978

Hence, 200x is 335285290978.

Answer:

Step-by-step explanation:

There are 10 common trig identities which I am aware of.

Some are in the image attached

The first image is known as b

Basic Identities

The second are known as Trigonometric / Pythagorean Identities .

The third : Co-function identities

and many more.

I'm only allowed to post five images so that's all I have.

Answer:

Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.

En este caso tenemos los porcentajes 20%, 50%, 10%  (notar que no suman 100%, entonces nos falta algún porcentaje)

Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.

Y en un círculo, tenemos un ángulo de 360°

Entonces comenzamos con la equivalencia:

360° = 100%

Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:

x = 50%

Si tomamos el cociente entre las ecuaciones:

x = 50% y  360° = 100%

obtenemos:

x/360° = 50%/100%

resolviendo para x, obtenemos:

x = (50%/100%)*360° = 0.5*360° = 180°

Para los otros porcentajes hacemos lo mismo.

Para el de 20% tenemos:

y = 20%

planteamos la ecuación:

y/360° = 20%/100%

y = 0.2*360° = 72°

Finalmente, para el de 10% tendremos:

z = 10%

planteando la ecuación como antes:

z/360° = 10%/100%

z = 0.1*360 = 36°

Asi, hemos encontrado los grados correspondientes para cada porcentaje.

Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

Answer:

I dont know the answer for this question

Answer:

60500

Step-by-step explanation:

110 x 550

= 60500

Answer:

60500

Step-by-step explanation:

caculator lol 110×550