can someone help me with this?

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Work Shown:

[tex]\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\[/tex]

[tex]x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\[/tex]

Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out

x = 6 works as a solution however

Answer:

15^1 or just 15

Step-by-step explanation:

(15^1/5)^5

If there is a parenthesees seperating powers you can times the two numbers.

So you take 1/5 and times by 5

After this you get 15^1 and that would be 15

Answer:

F(3,3)

Step-by-step explanation:

The coordinate of F is (3, 3).

Three vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).

Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.

The formula is used to find the midpoints are as follows;

[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}[/tex]

Let (x, y) = coordinates of vertex F.

DF and EG are diagonals of parallelogram DEFG, therefore:

The midpoint of DF = midpoint of EG

Then,

The midpoint of D(0, 2) and F(x, y) is;

[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}[/tex]

The midpoint of E(-1, 5) and G(4, 0) is;

[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}[/tex]

Comparing the equation;

[tex]\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3[/tex]

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

Hence, the coordinate of F is (3, 3).

To know more about Midpoints click the link given below.

https://brainly.com/question/2994861

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.

Answer:

Step-by-step explanation:

second one

Answer:

middle table

Step-by-step explanation:

The middle table has the same set of ordered pairs as the given set.

Answer:

next 3 terms are 17,20,23

Step-by-step explanation:

to get from 5 to 8 you add 3

14+3=17

17+3=20

20+3=23

Answer:

17, 20, 23

Step-by-step explanation:

The pattern is that 3 is added every time.

5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.

That means that the next terms will be

14 + 3 = 17

17 + 3 = 20

20 + 3 = 23

Answer:

x + y = 7

2.5x + 3y = 20

Step-by-step explanation:

cherries = $2.5 per pound

mangoes = $3 per pound

7 pounds of cherries & mangoes for $20

unkown x number of pounds in cherries

unknown y number of pounds in mangoes

x + y = 7

2.5x + 3y = 20

Answer:

Step-by-step explanation: a

Answer:

5

Step-by-step explanation:

insert f(-12) for f(x) and solve

f(-12)=|-12+7|

add -12 and 7

f(-12)=|-5|

absolute value makes it positive

f(-12)=5

If f(x)=|x+7|, the value of f(-12)=5

Given :

the function f(x)=|x+7|. Lets find out f(-12)

f(x) is an absolute function . Absolute function always gives us positive value .

for example |-6|=6

In f(-12) the value of x is -12

To find f(-12) we replace x  with -12 in f(x).

[tex]f(x)=|x+7|\\f(-12)=|-12+7|\\f(-12)=|-5|\\f(-12)=5[/tex]

so,  we got f(-12)=5

The answer is 5

Learn more : brainly.com/question/19661937

Answer:

22 - 28x

Step-by-step explanation:

34−4x+12x−12+12x

you wanna combine like terms

34 - 16x + 12 + 12x

34 - 28x + 12

22 - 28x

Answer:

i think questions no 3 is the answer of this question

Answer:

A'(-2,0) B'(-3,5) C'(0,4)

Step-by-step explanation:

all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.

Answer:

A. (-2,0)

B. (-3,5)

C. (0,4)

Answer:

8.4

Step-by-step explanation:

d=√(x2-x1)+(y2-y1)

d-√ (-1-(-7))^2+(-1-(-7))^2

d=√ (-1+7)^2+(-1+7)^2

d=√ (6)^2+6^2

d=√ 36+36

d=√ 72

d=6√ 2=8.4852

d=8.4

Answer:

the picture isnt showing up on mines

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

Answer:

the prime number is 31

Step-by-step explanation:

hi I got it right

Answer:

(10,0)

Step-by-step explanation:

3x+6y=30

3x+6(0)=30

3x=30

x=10

Answer:

hmmm? well I guess I can solve for x in relation to y and vice versa

but to actually solve for x and y you will need another equation of x and y

3x=30+6y

x=10+2y=2y+10

-6y=30-3x

-2y=10-x

2y=-10+x=x-10

y=(1/2)x-5

well, y=(1/2)x-5 is a line with slope 1/2 and y-intercept (0,b) of

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

Answer:

8

Step-by-step explanation:

Here, we want to use the inequality to know the number of pizza that can be bought

We simply proceed to solve the inequality recently and we have the following;

9.25x + 25 ≤ 105

9.25x ≤ 105-25

9.25x ≤ 80

x ≤ 80/9

x ≤ 8.65

Since we cannot have fractional pizzas, what he can afford is rather written as 8

Answer:

Using only dilation

Step-by-step explanation:

This is because dilation is to make bigger or smaller.

Answer:

c

Step-by-step explanation:

dilation is when you shrink the square, but maintain similarity between the four side lengths. Theoretically, you can shrink square EFGH to the size of ABCD

Answer:

Below

Step-by-step explanation:

The equation for slopes are y=mx+b. m = slope, and b = y-intercept.

Since b is negative the y-intercept will be below the x-axis.

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

Given:

The fraction value is [tex]\dfrac{3}{8}[/tex].

To find:

The terminating decimal which is equivalent to the given fraction value.

Solution:

We have,

[tex]\dfrac{3}{8}[/tex]

Multiply and divide the numerator and denominator by 1000.

[tex]=\dfrac{3}{8}\times \dfrac{1000}{1000}[/tex]

It can be written as

[tex]=\dfrac{3000}{8}\times \dfrac{1}{1000}[/tex]

[tex]=375\times \dfrac{1}{1000}[/tex]

[tex]=\dfrac{375}{1000}[/tex]

[tex]=0.375[/tex]

Therefore, the correct option is B.

Answer:

0.375

Step-by-step explanation:

ya

Answer:

30.8 I believe is your answer

Step-by-step explanation:

Answer:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

Answer:

0.75

Step-by-step explanation:

So A scale factors B by 0.75

10*75% = x

x is 7.5

Hope this helps plz hit the crown :D

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]

2 = [tex]\frac{34}{x-8}[/tex]

x - 8 = [tex]\frac{34}{2}[/tex]

x - 8 = 17

x = 17 + 8

x = 25