17.
DEFG is a square. Find DG.

The following data table for two distinct linear functions utilizing identical x values for both functions is displayed:

\(\begin{tabular}{|c|c|c|}$\mathrm{x}$ & $\mathrm{y}=2 \mathrm{x}+7$ & $\mathrm{y}=-\mathrm{x}+4$ \\$-3$ & $2(-3)+7=-6+7=1$ & $-(-3)+4=3+4=7$ \\$-2$ & $2(-2)+7=-4+7=3$ & $-(-2)+4=2+4=6$ \\$-1$ & $2(-1)+7=-2+7=5$ & $-(-1)+4=1+4=5$ \\0 & $2(0)+7=0+7=7$ & $-(0)+4=0+4=4$ \\1 & $2(1)+7=2+7=9$ & $-(1)+4=-1+4=3$ \\2 & $2(2)+7=4+7=11$ & $-(2)+4=-2+4=2$ \\3 & $2(3)+7=6+7=13$ & $-(3)+4=-3+4=1$\end{tabular}\)

The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.

As a result, the two functions' graphs will intersect at (1, 5)

First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. To find the y value, evaluate the equation (middle column). Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.

you replace the x for a number:

Table 1 (F(X)=2X+5)                                 Table 2 (H(X)=3X+2)

X=1----->Y=2+5=7                                     X=1------>Y=3·1+2=5

X=2---->Y=2·2+5=9                                  X=2----->Y=3·2+2=8

X=3---->Y=3·3+5=11                                  X=3----->Y=3·3+2=11

With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)

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Answer:

b =  2A

         h

Step-by-step explanation:

A=bh/2

2A = bh

b =  2A

          h

Answer:

b=(2a)/h

Step-by-step explanation:

Multiply both sides by 2

2A=bh

Divide both sides by h

(2a)/h=b

Answer:it’s c

Step-by-step explanation:

The answer would be t = 8p + 72

An equation of this line in slope intercept form is y = -1/6(x) - 5.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-5 - 0)/(0 - (-30)

Slope (m) = -5/30

Slope (m) = -1/6

At data point (0, -5), a linear equation in slope-intercept form for this line can be calculated as follows:

y = mx + c

y = -1/6(x) + (-5)

y = -1/6(x) - 5

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Answer:

0.1

Step-by-step explanation:

the probabilities have to add up to 100%

add all probabilities and subtract from 100 to find missing value

Answer:

60r+70

Step-by-step explanation:

10(6r+7)

(6r*10)+(7*10)

60r+70

R is equivalent to 1.1666...

Answer:

60r+70

Step-by-step explanation:

Answer:

D should be right

Step-by-step explanation:

The points (1, 1, 3), (2, 0, 1), (3, 1, 0), and (0, −4, 2) do not lie in a single plane.

To determine if the points (1, 1, 3), (2, 0, 1), (3, 1, 0), and (0, −4, 2) lie in a single plane, we can use 3d geometry.

First, we can find two vectors that lie on the plane using any three of the given points.

For example, we can use the vectors formed by (1, 1, 3) to (2, 0, 1) and (1, 1, 3) to (3, 1, 0):

v₁ = <2-1, 0-1, 1-3> = <1, -1, -2>
v₂ = <3-1, 1-1, 0-3> = <2, 0, -3>

Next, we can take the cross product of these vectors to find the normal vector of the plane:

n = v₁ x v₂ = <3, 7, 2>

Finally, we can check if the fourth point (0, -4, 2) lies on this plane by taking the dot product of the normal vector and a vector from the fourth point to any of the previous points:

n · (0-1, -4-1, 2-3) = -8

Since the dot product is not zero, the fourth point does not lie on the same plane as the first three points.

Therefore, the points (1, 1, 3), (2, 0, 1), (3, 1, 0), and (0, −4, 2) do not lie in a single plane.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

2nd choice

Step-by-step explanation:

Answer:

Hello!!

The answer to the equation \(\frac{41}{3} -8\) is...

Exact form: \(\frac{17}{3}\)

Decimal form: 5.6 repeating

Mixed number form: \(5\frac{2}{3}\)

Hope this helps!!

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

Answer:

Amara

Step-by-step explanation:

You can find mean by adding the total number of texts sent by each person and dividing it by the number of days.

In this case, the mean of Amara's texts sent is 6.714...

The mean of Marquis' texts sent is 9.428...

Therefore, Amara has the smaller mean.

Answer:

f(4) = 14

Step-by-step explanation:

To evaluate f(4), substitute x = 4 into f(x), that is

f(4) = 3(4) + 2 = 12 + 2 = 14

Answer:

2

Step-by-step explanation:

4x^3 + 2 = 34

4x^3 = 32

x^3 = 8

x=2

Answer:

x = 13

Step-by-step explanation:

2 In 3 = In (x - 4)

ln 3² = ln (x - 4)

x - 4 = 9

x = 13

Answer:

(x = 13) give me a good mark please.

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

Answer:

Step-by-step explanation:

180 x 0.6 = 108

108 x 0.05 = $5.40

108 + 5.4 = $113.40

Answer:

I was not aware of the "daily limit" thing for answers

Step-by-step explanation:

Answer:

b=62

Step-by-step explanation:

3(2)^2+2(5)^2

3*4+2*25

12+50=62

Answer: x= 1

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

Hey there! I'm happy to help!

6x=5x+22

Let's move all the variables to the left. We subtract 5x from both sides.

x=22

Have a wonderful day! :D

Answer:

x = 22

I hope this helps!

Use the distance formula to solve for the direct distance from (4,-4) up to (-14,8)

Since 1 grid is equal to 0.125 miles. Multiply the distance in units and we get

Rounding to 2 decimal places, the direct distance is 2.70 miles.

The completed statements with regards to the compound interest of the amount in the account are;

If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years

If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years

Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.

The compound interest formula indicates that we get;

\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)

Where;

P = The principal amount invested = $92 million

r = The interest rate = 5% monthly

n = The number of times the interest is compounded per annum = 12

t = The number of years = 2 years

Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)

The amount in the account after 2 years is therefore about $101.655 million

The formula for the amount in the account if the principal is compounded continuously, we get;

A = \(P\cdot e^{(r\cdot t)}\)

Therefore, we get;

\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)

The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million

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Answer:

The minimum value of the function is 4.

Step-by-step explanation:

The minimum value of the function is 4.

There is no number of x that when the absolute value of (x-3) can be negative.  For x = 3, the value is 0 and f(x) becomes 4 when the 4 is added to 0.

The minimum value of the function is 4.

Not true.  If x is > 3, then f(x) will be greater than 4.

The range is all real numbers.

Not true,  f(x) can never be less than 4, which occurs when x = 3

The axis of symmetry is at x = -3.

Not true.  See attached graph.  It is at x = 3.

Answer:

x = -7

Step-by-step explanation:

First we find the slope using

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

   = ( -8 - 5)/( -7 - -7)

   = (-8-5)/(-7+7)

   = -13/0

This means the slope is undefined and the line is vertical

Vertical lines are in the form

x= constant and the constant is the x value of the points

x = -7

\(4x+9=3x\)

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