Solve the following equation for x .​ ​ 9=x2+2 ​ ​

Answer:

x=1/4

y=1/2

Step-by-step explanation:

Given:

-2.4x+3.6y=1.2

2.4x + 1.2y=1.2

-2.4x+3.6y=1.2

Divide through by 1.2

-2x+3y=1

2.4x + 1.2y=1.2

Divide through by 1.2

2x+y=1

-2x+3y=1 (1)

2x+y=1 (2)

From 2

y=1-2x

Substitute y=1-2x into (1)

-2x+3y=1

-2x+3(1-2x)=1

-2x+3-6x=1

-8x=1-3

-8x=-2

Divide both sides by -8

x=1/4

Substitute x=1/4 into (2)

2x+y=1

2(1/4)+y=1

2/4+y=1

1/2+y=1

y=1-1/2

y=1/2

x=1/4

y=1/2

Answer:

x=1

Step-by-step explanation:

edge 2021

Answer:

option three!!!!!

Step-by-step explanation:

its closed circle

on 6

and pointing  left

Answer: 111

Step-by-step explanation:

[tex]\frac{15}{4} x - 9[/tex]   is the expression and we know that x is the number of parking spots in the first row. The plot in 32 for x and solve.

[tex]\frac{15}{2} (32) - 9[/tex]    

120 - 9 = 111

Answer:

sorry for the late answer

Step-by-step explanation: its c : 111

Answer:

CE = 100°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given x = 20°, then 90° - 20° = 70° thus

CE - 30 = 70° ( add 30 to both sides )

CE = 100°

Thus

sin20° = cos(100 - 30)° = cos70°

Answer:

CE = 100

have a nice day!

Step-by-step explanation:

Answer:

27cm

Step-by-step explanation:

Given the following :

Triangle A:

Shortest side = 12cm

Area of triangle = 8cm^2

Triangle B:

shortest side =?

AREA of triangle = 18cm^2

If triangle A and B are similar :.

Area A / Area B = Length A / length B

8cm^2 / 18 = 12 / length B

Cross multiply :

8cm * Length B = 18 × 12

Length B = 216 / 8

Length B = 27

Therefore, the shortest of the other triangle IS 27cm

Answer:

its A C and E hope this helps

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Since a and b form a straight line, they will add to 180 degrees

Two angles that add to 180 degrees are supplementary angles

Answer:

y + 8 = -5(x - 4).

Step-by-step explanation:

In this case, y1 = -8, x1 = 4, and m = -5.

y - (-8) = -5(x - 4)

y + 8 = -5(x - 4).

Hope this helps!

Answer: y = -5*x + b

Step-by-step explanation:

A line is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:

a = (y2 - y1)/(x2 - x1)

In this case we can see that the line passes through the points:

(0, 2) and (1, - 3)

Then the slope is:

a = (-3 - 2)/(1 - 0) = -5

Then our line is:

y = -5*x + b

And when x = 0, y = 2 then:

y = 2 = -5*0 + b

2 = b

Our line is:

y = -5*x + b

Answer:

The correct option is;

a. 1

Step-by-step explanation:

Given that the origin (0, 0) is the corner of the square

The equation of one of the sides = 3·X + 4·Y + 5 = 0

Therefore, we have;

Y = -3/4·X - 5/4

Which gives the slope as -3/4 and the y-intercept as (0, -5/4)

The sloe of the perpendicular side from the origin to the given line is therefore = -(1/(3/4)) = 4/3

The y-intercept of the current particular perpendicular side = 0

The equation is therefore;

y = 4/3·x + 0

The coordinate of the point of intersection of the two sides of the square above is found by equating the two lines to each other as follows;

4/3·x = -3/4·X - 5/4

4/3·x + 3/4·X = -5/4

25/12·X = -5/4

X = -5/4×12/25 = -3/5

Y = 4/3·x = 4/3× (-3/5) =-4/5

The length of a side = √((-3, 5) - 0)² + ((-4, 5) - 0)² = √1 = 1

The area of a square = (Length of side) × (Length of side)

∴ The area of the square = 1 × 1 = 1

The area of the square  = 1.

Answer:

The last (bottom) option in your list

Step-by-step explanation:

Do the product of the matrix one at a time as shown in the attached image:

Answer:

[tex]A^3=\left[\begin{array}{ccc}19&27&9\\6&19&18\\18&9&19\end{array}\right]\\\\PQ-not\ possible[/tex]

Step-by-step explanation:

[tex]A^3=A\cdot A\cdot A[/tex]

A³ - in the attachment

PQ is not possible, because

the dimensions of P are 3 × 3

the dimensions of Q are 2 × 2.

We can multiply two matrices A and B if the number of columns in A is equal to the number of rows in B.

n × m and m × k

Answer:

The graph in blue: y=4/3x-2

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept.

To find the slope, you just put rise/run of the line.

Hope this helped :)

Answer:

9000

Step-by-step explanation:

the inital ammout which is 9k is the size of the loan

-200 because he years 200 dollars per month

but the start up number is 9000 and he repays the load at 200 dollars a month

The graph of y=2x^2-8x+15 has no x-intercepts.

Answer:

the answer is 2/5 or 0.4

.

Answer: The length is 7/10 inches.

Step-by-step explanation:

So if is says that the string is  1/10 times 7 inches long, then it represents the length of the string.

So  L = [tex]\frac{1}{10}*7[/tex]  

     L = 7/10

Answer:

l=7/10

Step-by-step explanation:

Answer:

.32 or 32%

Step-by-step explanation:

The area of the circle is about 50.27

Given this you can use this to find the area of the triangle and find the precent  of the circle that is shaded:

The area of the triangle is 16

you can divide 16 by 50.27 to see the precntage or propability for the answer

Answer:

Step-by-step explanation:

Hello,

For each survey that Gwen completes she earns 10 points.

So the number of points Gwen earns for completing each survey is 10 and there is only one value.

If x is the number of surveys Gwen completed, her number of points is 10 multiplied by x.

The number of surveys Gwen completes can have several values.

And then, the total number of points Gwen earns can have several values too.

So you need to choose

The number of surveys Gwen completes.

and

The total number of points Gwen earns.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: Jennifer didn't randomly assign participants to the control and experimental group.

Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

Answer:

TW = 3.2 yd

Step-by-step explanation:

In the picture attached,

Triangle TWV has been given with angle W = 90°

By applying Sine rule in the given right triangle,

Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)

SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]

Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]

TW = 6.Sin(32)°

TW = 3.1795

TW = 3.2 yd

Therefore, measure of the side TW = 3.2 yd.

Answer:

x = 125°

Step-by-step explanation:

The given polygon is a hexagon with 6 sides.

The sum of the interior angles for any given polygon = (n - 2)180, where n is the number of sides of the polygon.

Therefore:

[tex] x + 117 + 124 + 102 + 145 + 107 = (6 - 2)180 [/tex]

[tex] x + 595 = (4)180 [/tex]

[tex] x + 595 = 720 [/tex]

Subtract both sides by 595 to solve for x:

[tex] x + 595 - 595 = 720 - 595 [/tex]

[tex] x = 125 [/tex]

x = 125°

Answer:

C

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then evaluating the polynomial for x = 3 should give a result of zero, that is

3² + 4(3)² + 2 = 9 + 36 + 2 = 47 ≠ 0

Thus (x - 3) is not a factor → C

Answer:

x = 1.25, y = 1.75

Step-by-step explanation:

The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).

We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.

5 * 1.25 = 6.25

7 * 1.25 = 8.75

However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.

Therefore the lengths must be: 6.25 - 5 = 1.25

and 8.75 - 7 = 1.75

Therefore x and y equal 1.25 and 1.75

Answer:

Jackson's distance from the finish line after x minutes will be given as;

since from the statements we know that x represents the number of minutes he had run, for us to be able to calculate his  distance from the finish line we simply solve the problem mathematically as follows;

x=80-8y

Step-by-step explanation:

from the initial representation we have x+8y=80,

from the preliminary statement we know x to be the number of minutes from the start of the race to the current point Jackson.

so we assume that y in the equation represents the number of distance covered by the x minutes in miles.

that is how we end up with ;

x=80-8y.

Answer:

[tex]a_n=4-n[/tex]

Step-by-step explanation:

Recall the definition of the general nth term of an arithmetic sequence of common difference "d":

[tex]a_n=a_1+(n-1)\,d[/tex]

we can use this formula to find the common difference knowing the first and fourth terms, and then write the general form for the sequence:

[tex]a_n=a_1+(n-1)\,d\\0=3+(4-1)\,d\\0=3+3\,d\\0-3=3\,d\\d=-1[/tex]

Then the general form for the nth term of this sequence is:

[tex]a_n=3+(n-1)\,(-1)\\a_n=4-n[/tex]

Answer:

The answer is below

Step-by-step explanation:

Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:

[tex]z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1[/tex]

Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:

[tex]z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\[/tex]

[tex]z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})][/tex]

Answer:

after 60 seconds = 1 minute ,they will together for the first time.

Step-by-step explanation:

Three bells toll at an interval of 4,5 and 6 second.

They will ring together at the time which will be the multiple of all the three time interval (i.e 4,5,6)

4 = 2*2

5= 5*1

6 = 2*3

LCM  of these three number will be multiple of highest power of each prime number

highest power of 2 in the above problem 2^2

3 = 3

5 = 5

Thus, LCM 2^2 * 3*5 = 60

Thus, after 60 seconds they will together for the first time.

Then they will toll together after each interval of 60 seconds together.

Answer:

You are m + 1 years old.

Step-by-step explanation:

Let's say that you are x years old, and Mack is m years old.

x = 1/2( two plus twice m)

x = 1/2(2 + 2m)

x = 1 + m

x = m + 1

Hope this helps!

Answer:

500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Answer:

ill help!

Step-by-step explanation:

find angle CBD

once you find that angle subtract it from 90 because that is the measure of ABC which is a right angle. Because all right angles are 90 degrees you can prove that it is the difference from angle CBD and 90.

hope it helped have good one!