SOMEONE PLEASE HELP!!!
Select the reason why these triangles are
similar. If they are not, select "Not similar".

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

this is the answer (x=5)

Answer:

X=15

The last bubble

X = 6

because 8 - 2 = 6

Answer :x=3 y=7 (3,7)

Step-by-step explanation: I took algebra last year and I answered your question earlier.

Answer:

x= 10; extraneous

Step-by-step explanation:

Given the expression:

3√x+6 = -12

We are to find the value of x

Divide both sides by 3

3√x+6/3 = -12/3

√x+6 = -4

Square both sides

(√x+6)² = (-4)²

x + 6 = 16

x = 16-6

x = 10

Hence the solution is x =10 and it is extraneous solution

Step-by-step explanation:

3.75x-5-8.75x+4.5+0.5

=3.75x-8.75x+4.5+0.5-5

=-5x+5-5

==-5x

Answer:

A) 4900

B) How far above she is before she starts hiking/the distance she is from the canyon floor.

Step-by-step explanation:

Since it's linear, it will follow the formula y=mx+c.

We can sub in the values to get:

3500=m(1)+c → 3500-m=c

2100=m(2)+c → 2100 = 2m+c

Sub '3500-m' in for c:

2100=2m+3500-m

m= -1400

c=3500-m=3500-(-1400)=3500+1400=4900

∴equation is: y= -1400x+4900

To find the initial value, ie when the number of hours = 0, we sub in zero for x:

y = -1400(0) + 4900

PART A ANS: 4900

PART B ANS: Since the number of hours passed is zero, the value represents how far above she is before she starts hiking/the distance she is from the canyon floor.

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

Answer:

19.9%

Step-by-step explanation:

39.8/200 = 0.199 (move decimal two times)

19.9%

or you can just see what number get 200 to 100, which is by dividing by 2. What you do to the bottom you do to the top so 39.8/200 (divide both sides by 2)  = 19.9/100

which is 19.9%.

Ace Carlos

Answer:

He would make one hop to land on 6.

Step-by-step explanation:

He starts on 6, and hops to the opposite of the opposite of 6, which is 6.

Answer:

[tex]\sqrt{2}[/tex] and 4[tex]\sqrt{11}[/tex]

Step-by-step explanation:

To simplify like surds, add/ subtract the coefficients.

(a)

[tex]\sqrt{2}[/tex] (6 - 5)

= [tex]\sqrt{2}[/tex] (1)

= [tex]\sqrt{2}[/tex]

(b)

[tex]\sqrt{11}[/tex] ( 1 + 3)

= [tex]\sqrt{11}[/tex] (4)

= 4[tex]\sqrt{11}[/tex]

Answer:

..

Step-by-step explanation:

Answer:

Done! I already sent you the answer.

Step-by-step explanation:

Answer:

5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters

Answer:

a) Math and Dance

b) 3 students (Chau, Juan, Ivan)

c) Tome, Jose, Josh, Rita

Step-by-step explanation:

That was so easy homework :-) write in comments if it helped

Answer:

23º = x

Step-by-step explanation:

One straight line is ALWAYS 180º

(called a linear pair)

So your equation is

157º + x = 180

subtract x on both sides

and you get

23º

That is a question about angles.

The first thing that we should to note is that a line do a straight angle. A straight angle is an 180° angle.

So, we can say that the sum of the angle a and the angle of 157° is equal to a straight angle. Let's make and solve a equation:

[tex]a + 157 = 180\\a = 180 - 57\\a = 23[/tex]

Therefore, the missing angle is 23°.

I hope I've helped. :D

Enjoy your studies. \o/

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

Answer:

20.40

Step-by-step explanation:

Answer:

10 dollars. I think.

Step-by-step explanation:

Answer:

The image of the point is (8, 4)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)

Let us solve the question

∵ The point is (2, 1)

∴ x = 2 and y = 1

∵ The point dilated by a scale factor of 4 centered at the origin

∴ k = 4

→ By using the rule above multiply each coordinate of the point by 4

∵ The image of the point is (kx, ky)

∵ kx = 4 × 2

∴ kx = 8

∵ ky = 4 × 1

∴ ky = 4

∴ The image of the point is (8, 4)

Answer:

3,588

Step-by-step explanation:

224 x 16 + 14

= 3,588

hope this helps and have a good day!

Answer:c

Step-by-step explanation:

Answer:

subtract to eliminate x

Step-by-step explanation:

Answer:

terms = 7.6p-7p and 9c-4

coefficients =76, 7, 9 and 4

constant terms= 4

Answer:

12

Step-by-step explanation:

Answer: 10

Step-by-step explanation: Each side if the smaller shape is  multiplied by 1.5 to get the dimensions of the larger shape. To find the value of x, you divide 12 by 1.5. Then you add 2 to that answer to get the value of x.  [tex]12/1.5 = 8 + 2 = 10[/tex]

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]