There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$ is $a$, then point $P$ is at $(3a, a^2+13a-11)$. If the slope of a line passing through $A$ and $P$ is $7$, find $a$.

Answer:

6 more

Step-by-step explanation:

Find 56% of 75 first

75/x=100/56

(75/x)*x=(100/56)*x      

75=1.78571428571*x      

(1.78571428571) to get x

75/1.78571428571=x

42=x

x=42

Then Find 80% of 60

60/x=100/80

(60/x)*x=(100/80)*x    

60=1.25*x      

60/1.25=x

48=x

x=48

Subtract 48 by 42

=6

Answer:

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

Step-by-step explanation:

Since the points are collinear they lie on the same line.

Thus the slopes between any of the 3 points are equal.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]

Repeat using

(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m

m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(t - 5) = - 24 , that is

5t - 25 = - 24 ( add 25 to both sides )

5t = 1 ( divide both sides by 5 )

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

Answer:

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

Hope this helps you

Answer:

1

Step-by-step explanation:

Let's ignore the absolute value signs for a moment.

We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.

However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.

-1 as a positive number is +1, or just 1.

Hope this helped!

Answer:

u should put his is English and then translate it to read it

Answer:

Step-by-step explanation:

The most likely quantity is centimetres.

The second option can be inches.

Hope this helps

plz mark it as brainliest!!!!!!!!!

Answer:

x = 35

Step-by-step explanation:

The angles of a triangle add to 180 degrees

103+ 42 + BCA = 180

BCA = 180 -103 -42

BCA =35

BCA and x are corresponding angles and corresponding angles are equal if the lines are parallel

Answer:

321/8 ft^2

Step-by-step explanation:

The whole area is 49/4 × 5 = 245/4 ft^2

The area of tiled floor is 13/2 × 13/4 = 169/8

245/4 - 169/8 we need to equalise the bottom of fraction to subtract so

2/2 × 245/4 = 490/8

490/8 - 169/8 = 321/8 ft^2

Answer:

11%

Step-by-step explanation:

1. Fill out the table with the correct numbers.

2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.

3. We know the total number of students under the age of 15 is 165.

4. To find the percent:

       18/165 * 100

               = 11%

Answer:

41%

Step-by-step explanation:

Look at the column "Age 15 and above".

Notice how the row total for that column is 195.

Also, look at "Bus".

Notice how there is a gap between 60 and 110.

To calculate the answer, you need to fill in the blanks using the surrounding numbers.

60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.

The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.

Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.

65 + 50 = 115, 115 + 80 = 195.

Although, notice that this does not mean the answer is not 80%.

We need to find what percentage is 80 out of 195.

80 out of 195 = 41.03%.

By rounding, we will get an answer of 41%.

Answer:

[tex]\boxed{ x \geq 0}[/tex]

Step-by-step explanation:

Hey there!

Well we can cross out A. x is all real numbers because,

it’s not it only has all the positive numbers.

B. Is correct because the domain is every number greater than or equal to 0.

x ≥ 0

Hope this helps :)

The domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A function is shown in the graph which is plotted on the two-dimensional coordinate plane.

From the graph, we can see the graph of a function exists in the first quadrant only and it is increasing.

The interval in which the graph exists is [0, ∞)

or

The domain of a graph of a function is:

x ≥ 0

Thus, the domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.

Learn more about the function here:

brainly.com/question/5245372

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Answer:

Step-by-step explanation:

Give the equation 5x² + 27x = 14 − 13x, we are to write the steps needed to solve for x using the completing the square method.

Step 1: Rewrite the equation in a quadratic form by first adding 13x to both sides of the equation.

5x² + 27x +13x= 14 − 13x+13x

5x² + 40x = 14

Step 2: factor out the common constant in the left hand side of the equation.

5(x²+8x) = 14

Step3: The next step to take is to divide through by the the value of 5 to have;

5(x²+8x)/5 = 14/5

x²+8x = 14/5

Step 4: complete the square of the equation at the left hand side by adding the square of half of the coefficient of x to both sides i.e {1/2(8)}² which is 4²

x²+8x +4² = 14/5+4²

x²+8x +16 = 14/5+16

(x+4)² = 94/5

Step 5: Taking the square root of both sides

√(x+4)² = ±√94/5

x+4 = ±√94/5

Step 6: subtract 4 from both sides

x+4-4 = ±√94/5 - 4

x = ±√94/5 - 4

Hence the solution to the equation using completing the square method is x = -4±√94/5

Answer:

5(x2 + 8x + 16) = 94

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 9

The adjacent is x

Substitute the values into the above formula

That's

[tex] \tan(30) = \frac{9}{x} [/tex]

[tex]x \tan(30) = 9[/tex]

Divide both sides by tan 30

[tex]x = \frac{9}{ \tan(30) } [/tex]

We have the final answer as

Hope this helps you

Answer:

9 dollars per hour

Step-by-step explanation:

36/4=9

Answer:

9

Step-by-step explanation:

4 hours : $36

1 hour : $ x

we need to find x so,

4 hours ÷ 4 = 1 hour

1 : $

since we have divided 4 by 4,

we need to do that to 36 aswell

36  ÷ 4 = 9

1 hour : $9

Answer:

A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a final position. If an object is transformed all its points are also transformed. Types of transformation are reflection, rotation, translation and dilation.

If a point O(x, y) is translated left by h unit, the new coordinate is O'(x-h, y) while if O(x, y) is translated right by h unit the new coordinate is O'(x+h, y)

If a point O(x, y) is translated up by h unit, the new coordinate is O'(x, y+h) while if O(x, y) is translated down by h unit the new coordinate is O'(x, y-h)

The location of the shape as shown in the diagram is:

A(3, 6), B(3, 3), C(4, 3), D(4, 6)

If the points are translated two yards East and four yards south, it means it is translated 2 unit right and 4 unit down i.e. (x+2, y-4). The new coordinates are:

A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)

Answer:

ombining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).

Step-by-step explanation:

this is more simple

Step-by-step explanation:

Hi, there!!!

Here, the question is about the volume of cone,

given that,

diameter = 12m

radius of a circle= 12m/2= 6m

height (h)=9 m

now, we have,

volume of a cone= 1/3×pi× r^2×h

or, v= 1/3×3.14×(6)^2×9

After simplifying it we get,

v= 339.12 m^3

Hope it helps....

Answer:

Step-by-step explanation:

Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line. Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line.

Answer:

( 0,0) is the x intercept

Step-by-step explanation:

y = (2x)/(x-1),

To find the x intercept set y = 0 and solve for x

0 =  (2x)/(x-1)

Multiply by x-1 on each side assuming x does not equal 1

0 = 2x

x = 0

The x intercept is 0

( 0,0) is the x intercept

Answer:

[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]

Step-by-step explanation:

Using factor tree,

Answer:

[tex]\large\boxed{2, 5, 43}[/tex]

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             [tex]\boxed{43}[/tex]     [tex]\boxed{5}[/tex]

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

[tex]\large\boxed{2, 5, 43}[/tex]

Hope this helps :)

--------------------------------------------------------------------------------------------

If the formatting is not showing up correctly, please refer to the images of my answer below instead.

Answer:

no solution

Step-by-step explanation:

3x - 4 = 3x - 10

Subtract 3x from each side

3x-3x - 4 = 3x-3x - 10

-4 = -10

This is never true so there is no solution

Answer:

Step-by-step explanation:

I think you might have copied down the problem incorrectly.

If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:

3x-4=3x-10

   +10    +10

3x+6=3x

-3x     -3x

6=0 (which is FALSE)

Hope this helps!

P.S. Please give me brainliest. Thanks :)

Answer:

c. p(10)=26,327(1+0.024)^10

Step-by-step explanation:

its just the answer

Answer:

[tex]\boxed{\sf Option \ 3}[/tex]

Step-by-step explanation:

The problem is exponential growth.

[tex]a(1+r)^t[/tex]

[tex]a = \sf initial \ amount[/tex]

[tex]r = \sf rate[/tex]

[tex]t= \sf time[/tex]

The third option is right.

[tex]P(10)=26237(1+2.4\%)^{10}[/tex]

[tex]P(10)=26237(1+0.024)^{10}[/tex]

Answer:

Step-by-step explanation:

f(x) = 3x² + 1

g(x) = 1 - x

To find (f - g)(2) first find (f - g)(x)

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 3x² + 1 - ( 1 - x)

(f - g)(x) = 3x² + 1 - 1 + x

(f - g)(x) = 3x² + x

To find ( f - g)(2) substitute 2 into (f - g(x)

That's

( f - g)(2) = 3(2)² + 2

( f - g)(2) = 3(4) + 2

( f - g)(2) = 12 + 2

We have the final answer as

Hope this helps you

Answer:

76

Step-by-step explanation:

21+(36+19)

21+(55)

21+55

=76

Answer:

The identity property

Step-by-step explanation:

I took it on Egd.

Answer:75

Step-by-step explanation:54+21

Answer:

15 bicycles, 6 skateboards

Step-by-step explanation:

We are looking for the number of skateboards and the number of bicycles. Those two numbers are our unknowns.

We define variables for those two numbers.

Let s = number of skateboards.

Let b = number of bicycles.

A skateboard has 4 wheels. s number of skateboards have 4s wheels.

A bicycle has 2 wheels. b bicycles have 2b wheels.

The total number of wheels is 4s + 2b.

The total number of wheels is 54, so our first equation is

4s + 2b = 54

The total number of skateboards and bicycles combined is s + b.

We are told the total number of skateboards and bicycles combined is 21.

The second equation is

s + b = 21

We have a system of two equations in two unknowns.

4s + 2b = 54

s + b = 21

We can solve it by the elimination method.

Rewrite the first equation below.

Multiply both sides of the second equation by 2 and write it below that. Then add the equations.

          4s + 2b = 54

(+)      -2s - 2b = -42

-----------------------------

          2s         = 12

s = 6

There are 6 skateboards.

Now we substitute 6 for s in the second original equation and solve for b.

s + b = 21

6 + b = 21

b = 15

There are 15 bicycles.

Answer: 15 bicycles, 6 skateboards

Answer:

Step-by-step explanation:

∠HIG and ∠JIK are vertical angles, so:

m∠HIG = m∠JIK

[tex]\dfrac{GI}{IJ}=\dfrac{7.5}3=2.5\\\\\dfrac{HI}{IK}=\dfrac{2.5}1=2.5[/tex]

[tex]\left\{\dfrac{GI}{IJ}=\dfrac{HI}{IK}\quad\ \wedge\quad m\angle HIG=m\angle JIK\right\}\implies \triangle HIG\sim\triangle JIK\ \ by\ SAS[/tex]

Answer:

Step-by-step explanation:

[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]

[tex] = 807[/tex]

Answer:

408

Step-by-step explanation:

3x19= 57

57x14= 798

798 + 18= 816

816/ 2= 408

Answer:

79°

Step-by-step explanation:

PQO is straight angle with measure of 180°

the given angles' sum makes 101° and we need 79 to complete it to 180° therefore the angle STQ = 79°

Answer: Hi!

The only thing we can do to simplify the equation is combine like terms.

5x^2 + 4x^2 = 9x^2

-2y - 7y = -9y

3 - 1 + 7 = 9

Our equation now looks like this:

9x^2 - 9y + 9

We have nothing left to simplify, so we're done!

Hope this helps!

Answer: Five to the power of three (5*5*5) is equal to 125.

Hope this helps!

Answer:

125

Step-by-step explanation:

[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]

Answer:

h,k,i,m,g,l

Step-by-step explanation:

I did all the work and i(x) limt should = -.25 and k(x) =0 but it said it was wrong.  f(x) and j(x) cant be used, so my guess is to switch i(x) and k(x)

The answer is given in the image below.

One of the fundamental standards of calculus is limits (limits of a function); it offers the fee of a function at a particular factor called limit. Limits are used to calculate the exact vital of the function. Not all functions include limits. A few functions no longer have any restrictions as the variable has a tendency to infinity.

The equations y = ± x and x 2 + y 2 = 9 are examples of non-function due to the fact there is at least one -price with or greater -values.

Learn more about Limits here: https://brainly.com/question/251701

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Answer:

73.5in³

Step-by-step explanation:

You multiply the three numbers.

3.5x5.25x4=73.5in³