solve for x -22=-7+3/5x

Answer:

[tex]\sqrt{49 - x^{2}}[/tex]

Step-by-step explanation:

Pythagorean theorem  [tex]c^{2} = a^{2} + b^{2}[/tex] Then:

[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]

the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]

Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]

Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]

Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]

Answer:

a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b

a + 2b = 2 → (1)

b + 2a² = 10 → (2)

In (1) subtract 2b from both sides

a = 2 - 2b → (3)

Substitute a = 2 - 2b into (2)

b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL

b + 2(4 - 8b + 4b²) = 10 ( simplify left side )

b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )

8b² - 15b - 2 = 0

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 8 × - 2 = - 16 and sum = - 15

The factors are - 16 and + 1

Use these factors to split the b- term

8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )

8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term

(b - 2)(8b + 1) = 0

Equate each factor to zero and solve for b

b - 2 = 0 ⇒ b = 2

8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]

Substitute these values into (3) and evaluate for a

b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2

b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

ax + by = 2            (1)

and bx + a²y = 10        (2)

Also, x = 1 and y = 2 are the solution of the equation,

Substitute x = 1 and y = 2in equation (1),

a(1) + b(2) = 2

a + 2b = 2       (3)

Further substitute x = 1 and y = 2 in equation (2),

b(1) + a²(2)  = 10  

2a² + b = 10         (4)

By solving equation (3) and (4),

The possible values of a are 8 and 9/4.

And possible value of b are -3 and -1/8.

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Answer:

yes, absolutely. specifically it's a horizontal line at 6.

Answer: The answer to this inequality is C.

Step-by-step explanation:

I guess the question is how many ounces are needed per paint. right ?

the colors are mixed in a ratio 3:5.

what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.

the total is 32 ounces.

so, each of the 8 units represents

32/8 = 4 ounces.

and now we know :

yellow has 3 units

3×4 = 12 ounces

blue has 5 units

5×4 = 20 ounces

Answer:

x = 5 or × = -7/2

Step-by-step explanation:

I hope you get it good luck.

Answer:

59

Step-by-step explanation:

x= tens place of number

y= ones place of number

set up equations:

"sum of the digit is 14"

sum is the result of addition

x+y=14

"Twice the tens digit exceeds the units digit by one"

2x is bigger than y by 1

if 2x is bigger, then add 1 to the opposite side to balance the equation:

2x=y+1

with 2 equations you can solve for 2 variables:

2x=y+1

2x-1=y

substitute into x+y=14

x+(2x-1)=14

3x-1=14

3x=15

x=5

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subtitute to find y

x+y=14

5+y=14

y=9

number is 59

Answer:

(-1, 0.5)

Step-by-step explanation:

please mark brainliest

Answer:

no you're not wrong go with your gut

Step-by-step explanation:

Answer:

Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.

Step-by-step explanation:

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

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Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

Answer:

Step-by-step explanation:

f(x) = (3x+3)/(x-2)

Use a graphing program such as DESMOS.  See attachment.

The asymptotes are:

The asymptotes are:

y = ± infinity as x  reaches 2

x = ± infinity as y  reaches 3

Answer:

Step-by-step explanation:

1.25 = 1 1/4

1 1/4 = 5/4

1/2 * 5/4 = 5/8

Answer:

At the very end, the amounts of money are:

A -- 24

B -- 24

C -- 24

If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:

A -- 12 (24 minus 12)

B -- 12 (24 minus 12)

C -- 48 (24 plus 12 plus 12)

Before that, A and C got half of what they had above from B, so:

A -- 6 (12 minus 6)

B -- 42 (12 plus 6 plus 24)

C -- 24 (48 minus 24)

And initially, B and C got half of what they had above from A, so:

A -- 39 (6 plus 21 plus 12)

B -- 21 (42 minus 21)

C -- 12 (24 minus 12)

Step-by-step explanation:

The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

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Answer:

0.267

Step-by-step explanation:

Total websites = school websites (2) + social websites (4) = 6

Checking social website = social websites (4) /Total websites (6) = 2/3

Total websites is 5

Checking social website = school websites (2) /Total websites (5)

4/6 x 2/5 = 0.2666

Answer: 0.267

Hope this helps :)

Answer: many solutions

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

48/6=8

56/8=7

Answer:

7

Step-by-step explanation:

the second triangle is 1/8 of the first so 56 divided by 8 is 7

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

Answer:

Functions: Second Graph

The other two are not. Use the vertical line test. I'm pretty sure but not 100%

Step-by-step explanation:

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b

Answer:

The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.

Step-by-step explanation:

hope it helps

Step-by-step explanation:

[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]

• Substitute:

[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]

Answer:

it's (2,-4)

hope it helps

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's  house from the café

52 × 4 = 70 × t - 52 × t = 18 × t

[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]

The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]

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Answer:

3hrs 15 minutes

Step-by-step explanation:

10:45

-07:30

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03:15

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