Triangle ABC is a right triangle, angle B is the right angle, angle A is
8x + 2, and angle C is 9x + 3.
What is the measurement of angle A?
ОООО
5°
42°
45°
48°

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

Given the coordinates:

(3,−1) and (4,7)

To find:

The equation of line passing through the given points.

Solution:

Let us have a look at the slope intercept form of a line:

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

c is the y intercept.

Where [tex]m[/tex] is the slope of the line passing through the points [tex](x_1,y_1),(x_2,y_2)[/tex]

Formula for slope is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]x_1 = 3\\y_1 = -1\\x_2 = 4\\y_2 = 7[/tex]

[tex]m=\dfrac{7-(-1)}{4-3}\\\Rightarrow m = 8[/tex]

So, equation of line becomes:

[tex]y=8x+c[/tex]

Let us put (4, 7) to find the value of c:

[tex]7=8\times 4 +c\\\Rightarrow c = -25[/tex]

So, the equation is:

[tex]y=8x-25[/tex]

The equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

Given information:

The given line passes through the points (3.-1), and (4,7).

It is required to write the equation of the line.

Use the two-point form of a line to write the equation of the line:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-1)=\dfrac{7-(-1)}{4-3}(x-3)\\y+1=8(x-3)\\y+1=8x-24\\y=8x-25[/tex]

From the above equation of the line, the slope is equal to 8.

Therefore, the equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

For more details, refer to the link:

https://brainly.com/question/19082942

Answer:

17.42

Step-by-step explanation:

Because the third place is less than 5 you have to round it to smaller number and that is 2.

If by any chance the third number was for example six you would have to round it to 3.

Answer:

90

Step-by-step explanation:

take one interior color and multiply by 5 for every interior color. then multiply by three for each trim. you get 15. multipy 15 by 6 for every exterior color and you get 90. there are 90 combinations.

I believe the difference is 5 degrees Fahrenheit.

Answer: The numerical length of  [tex]\overline{SU}[/tex] is 20 units.

Step-by-step explanation:

Given: Point T is on line segment [tex]\overline{SU}[/tex] .

i.e. [tex]\overline{SU}=\overline{ST}+\overline{TU}[/tex]             (i)

Since , it is given that ST=2x+6,TU=4, and SU=4x

Substitute these values in (i), we get

[tex]4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5[/tex]

Now, the numerical length of [tex]\overline{SU}= 4(5)=20\ units[/tex]

Hence, the  numerical length of  [tex]\overline{SU}[/tex] is 20 units.

Answer:

Step-by-step explanation:

ST = 16

Answer:

x = 6

Step-by-step explanation:

Solve for x:

11 x + x + 5 = 11 x + 11

Hint: | Add like terms in 11 x + x + 5.

x + 11 x = 12 x:

12 x + 5 = 11 x + 11

Hint: | Move terms with x to the left hand side.

Subtract 11 x from both sides:

(12 x - 11 x) + 5 = (11 x - 11 x) + 11

Hint: | Combine like terms in 12 x - 11 x.

12 x - 11 x = x:

x + 5 = (11 x - 11 x) + 11

Hint: | Look for the difference of two identical terms.

11 x - 11 x = 0:

x + 5 = 11

Hint: | Isolate terms with x to the left hand side.

Subtract 5 from both sides:

x + (5 - 5) = 11 - 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 11 - 5

Hint: | Evaluate 11 - 5.

11 - 5 = 6:

Answer: x = 6

Answer:

x = 6

Step-by-step explanation:

5 + x + 11x = 11x + 11

5 + 12x = 11x + 11

5 + 1x = 11

1x = 6

x = 6

Answer:

40

Step-by-step explanation:

Given that the number of cans are fewer than 50.

Let the number of cans = [tex]x[/tex]

It is given that no cans remain if they are put in the stacks of five cans each.

i.e. number of cans are a multiple of 5.

Let us have a look at the numbers in decreasing order which are multiples of 5 and are lesser than 50.

45, 40, 35, 30, ......

Now, let us check the numbers one by one.

If [tex]x=[/tex] 45,

Now, they are placed on stacks of three each and one can remains.

So, the remainder when [tex]x[/tex] is divided by 3 will be 1.

But when 45 is divided by 3, remainder is 0.

Now, let us check next greatest number, which is 40.

When 40 is divided by 3, the remainder is 1.

Therefore, greater number of cans can be 40.

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

6x + 2 = 9x - 4

We want terms with x on the left side and numbers on the right side.

Subtract 9x from both sides.

6x - 9x + 2 = 9x - 9x - 4

-3x + 2 = -4

Subtract 2 from both sides.

-3x + 2 - 2 = -4 - 2

-3x = -6

Divide both sides by -3.

-3x/(-3) = -6/(-3)

x = 2

Answer:

f(5) = 2

f'(5) = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Tangent line to a function y = f(x) on a point (5, 2) passes through two points (5, 2) and (0, 1)

Let the equation of the line is,

y - y' = m(x - x')

Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                                                                   = [tex]\frac{2-1}{5-0}[/tex]

                                                                                   = [tex]\frac{1}{5}[/tex]

Therefore, equation of the line passing through (0, 1) and slope = [tex]\frac{1}{5}[/tex] will be,

y - 1 = [tex]\frac{1}{5}(x-0)[/tex]

y = [tex]\frac{x}{5}+1[/tex]

Function representing equation will be,

f(x) = [tex]\frac{x}{5}+1[/tex]

At x = 5,

f(5) = [tex]\frac{5}{5}+1[/tex]

     = 1 + 1

     = 2

f(5) = 2

f'(x) = [tex]\frac{d}{dx}(\frac{x}{5}+1)[/tex]

       = [tex]\frac{1}{5}[/tex]

Therefore, f'(5) = [tex]\frac{1}{5}[/tex] will be the answer.

Given:

Different functions in the ordered pairs.

To find:

The function which has an inverse that is also a  function.

Solution:

A relation is a function, if there exist unique output for each input.

The inverse of a function is a function, if there exist unique input for each output in the function.

It means, the inverse of a function is a function if each y value has unique x-value.

In {(-1, -2), (0, 4), (1, 3), (5, 14), (7,4)},

For y=4 we have x=0 and x=7, therefore, the inverse of this function is not a function.

In {(-1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} ,

For y=4 we have x=0 and x=5, therefore, the inverse of this function is not a function.

In {(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} ,

For all y value we have unique x values, therefore, the inverse of this function is a function.

In {(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)},

For y=4 we have x=-1 and x=0, therefore, the inverse of this function is not a function.

Therefore, the correct option is C.

Answer:C

Step-by-step explanation:

Answer:

X= 1984

Step-by-step explanation:

f(x) = 2000(X – 1980) + 10,000

Where,

f(x)= per capita income

x= year

Find x when f(x)= $18,000

f(x) = 2000(X – 1980) + 10,000

18,000 = 2000(X - 1980) + 10,000

18,000 = 2000X - 3,960,000 + 10,000

18,000 = 2000X - 3,950,000

Add 3,950,000 to both sides

18,000 + 3,950,000 = 2000X

3,968,000 = 2000X

Divide both sides by 2000

X= 3,968,000 / 2000

= 1984

X= 1984

Therefore, the per capita income was $18,000 in the year 1984

Answer:

In the diagram, the obtuse isosceles is what you need.

For your problem, the angle F is the vertex angle B

The base angles A and Z go on both sides.

Step-by-step explanation:

Answer:

the answer here would be 2(n-3)

Step-by-step explanation:

Answer:

The answer is 153.86

Step-by-step explanation:

A= 3.14 x12.25>2

A= 38.465 x 4

A= 153.86

answer:

x=-2

Step-by-step explanation:

my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2

Answer:

x = -2

Step-by-step explanation:

● (5/6)x - (1/3) = -2

Add (1/3) to both sides

● (5/6)x - (1/3) + (1/3) = -2 + (1/3)

-2 is (-6/3)

● (5/6)x = (-6/3) + (1/3)

● (5/6)x = -5/3

Move 5/6 to the other side and switch the places of 5 and 6

● x = (-5/3) × (6/5)

● x = -30/15

● x = -2

Answer:

the volume of the cylinder = 19.08 ft³

Step-by-step explanation:

given:

If the radius of the cylinder is 1.5 feet and the height is 2.7 feet,

find:

what is the volume of the cylinder? (Use 3.14 for pi.)

Volume of a cylinder = π r² h

where π = 3.14

radius (r) = 1.5 ft.

height (h) = 2.7 ft.

plugin values into the formula:

V = π r² h

V = 3.14 (1.5)² 2.7

V = 19.08 ft³

therefore,

the volume of the cylinder = 19.08 ft³

Answer:

The inequality to describe the problem is 15 +c >25.

We must sell more than 5 cones to make a profit

Step-by-step explanation:

From this problem,  we can see that we need to sell a number of cones (c), that when added to the 15 cones that we have already sold, the result will be greater than 25.

To set up the inequality sign, we need to, first of all, know the inequality sign that we will be using. From the preceding statement, we can see that we need to sell greater than a certain number of cones.  

This should tell us that we will be needing the greater-than sign (>).

The next step is to know the format the equation should take:

We have sold 15 cones; We need to sell c more to make it greater than 25.

This will be 15 +c >25.

The inequality to describe the problem is 15 +c >25.

from this, we can see that c > 5 cones.

We must sell more than 5 cones to make a profit

x > - 9

x ∈ ( - 9 : + oo)

[tex]-\frac{1}{3}(5x+3)<14\\ \\-(5x+3)<42\\\\-5x-3<42\\\\-3-42<5x\\\\-45<5x\\\\5x>-45\\\\x>-9\\\\[/tex]

x∈ ( - 9 ; + oo)

Answer:

x > -9

Step-by-step explanation:

you want to multiply both sides of the inequality by 3/1 to make

-1/1 (5x+3) < 42/1

any expression divided by 1 remains the same

-1 (5x+3) < 42/1 ⇒ - (5x+3) < 42/1 ⇒ - (5x+3) < 42

Where there is a - in front of an expression in parentheses, change the sign of each term in the expression

-5x -3 <42

Then move the constant to the right-hand side and change its sign

-5 < 42 + 3

Add the numbers and you'll get

-5x < 45

Divide both sides of the inequality by -5 and flip the inequality sign and your answer would be

x > -9

Complete question is;

A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing. Identify the kind of sample that is described.

Answer:

Cluster sample

Step-by-step explanation:

Looking at the question, we can see that the media has already been grouped into 3 parts namely charcoal sketches, pencil drawings, and oil paintings. It has already been grouped into multiple groups for easy selection or identification.

Now this type of grouping is synonymous with cluster sampling because cluster sampling is a probability sampling technique in which the researchers divide the population into multiple groups known as clusters for research and this question clearly shows that the media has been grouped.

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

B(x1+x2/2 , y1+y2/2)   , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

Answer:

2x-10

Step-by-step explanation:

3x2+2x-16

6+2x-16

2x-10

Answer:  -2²¹

Step-by-step explanation:

Convert each term into a power of 2.

Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.

[tex]\dfrac{(-2)^3\times 4^4}{16^{-1}\times 8^{-2}}\quad =\dfrac{(-1)^3(2)^3(2)^{2(4)}}{(2)^{4(-1)}(2)^{3(-2)}}\qquad =-1^3\bigg(\dfrac{2^32^8}{2^{-4}2^{-6}}\bigg)[/tex]

[tex]=-1(2^{3+8-(-4)-(-6)})\qquad =-1(2^{3+8+4+6})\qquad =-2^{21}[/tex]

Answer:

-2^21

Step-by-step explanation:

(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=

=-1*2^11

(16)^-1*8^-2=2^-4*2^-6=2^-10

-1*2^11/2^-10=-1*2^11*2^10=-2^21

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

Explanation:

The word "combine" has three vowels o, i, and e.

One grouping of the three vowels together leads to oie, which we'll replace with Z for now.

So we have the "word" Zcmbn after taking out the vowels and replacing with Z temporarily. There are 5 letters in Zcmbn making 5! = 5*4*3*2*1 = 120 different permutations.

Within any permutation of Zcmbn, there are 3! = 3*2*1 = 6 ways to arrange the sequence oie

So overall there are 6*120 = 720 different ways to arrange the word "combine" such that all the vowels stick together.

Answer:

23 is you number move it that many times right see what it gives you

Step-by-step explanation:

Answer:

y = 4x

Step-by-step explanation:

2(3y + 6x) = 2(5y - 2x)

Divide both sides by 2.

3y + 6x = 5y - 2x

Subtract 5y from both sides. Add 2x to both sides.

-2y = -8x

Divide both sides by -2.

y = 4x

Answer:

Inequality Form: x > − 122 /99

Interval Notation: ( − 122/ 99 , ∞ )

Step-by-step explanation:

Answer:

That's the answer in the photo.

Answer:

8

Step-by-step explanation:

Answer:

they are parallely far apart