Find the equation of the line.
Use exact numbers.
y=
#+

The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.

Since O represents the midway, both FO and OG must be equal.

3x + 17 = 7x - 15

Add 3x to both sides and subtract:

17 = 4x -15

To both sides, add 15:

32 = 4x

Subtract 4 from both sides:

x = 32/4

X = 8

Now that you know the value of X, find the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

To learn more about midway visit : https://brainly.com/question/13357792
#SPJ9

[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]

[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]

[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]

[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]

[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]

[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]

[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]

    [tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]

Answer

1.2 + 0.68 should have equaled 0.80

Step-by-step explanation:

jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.

This answer is incorrect. What did he do wrong?

If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct

To find the correct answer, let's first evaluate the expression step by step:

1. 6/4 is equal to 1.5, not 1.2.

2. 1.5 + 0.68 equals 2.18, this is not 1.88.

So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.

Therefore, the correct calculation is 1.5 + 0.68 = 2.18.

Read more on fractions here https://brainly.com/question/30154928

#SPJ3

The average rate of change over the entire slide is 0.01 per unit.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.

m = Δy/Δx

where, m is the slope

Note that tan θ = Δy/Δx

We also refer this tan θ to be the slope of the line

Given,

the height of the slide = 2 feet

the value of x is 20 units

The average rate of change is the slope of the line

Therefore, the rate of change over the entire slide will be,

Rate of change = 2/20 = 0.1 feet per unit

Hence, the rate of change is 0.1 feet per unit.

To know more about "Slope of the line"

Refer this link:

https://brainly.com/question/14511992

#SPJ4

Answer: 166

We’ll give it your best mate keep it up

z + 16.2 ≤ 30

z ≤ 13.8

Answer:

He runs 20% or 1/5 of the total distance the first day

Step-by-step explanation:

We know this due to the fact that 2km / 10km is equal to 1/5 and we then know that 1/5 equates to the percentage equivalence value of 20%

Answer:

Step-by-step explanation:

When completing the square, an expression like,

ax2 + bx + c is written in the form (Ax + B)2 + C.

We will begin with the simple example where a = 1. In this case we will write expressions in the form

x2 + bx + c as (x + B)2 + C

If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.

Comparing this with x2 + bx + c shows that

b = 2B and c = B2 + C

which gives B =

b

2

and C = c – B2

The measure of ∠EBD from the given figure is 26°.

Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since BC bisects ∠ABD, we get ∠ABC=∠CBD

So, ∠ABD=∠ABC+∠CBD

⇒2∠CBD=104°

⇒∠CBD=52°

Here, BE bisects ∠CBD, we get ∠CBE=∠EBD

So, ∠CBD=∠CBE+∠EBD

⇒2∠EBD=52°

⇒∠EBD=26°

Therefore, the measure of ∠EBD from the given figure is 26°.

To learn more about the angle bisector visit:

https://brainly.com/question/12896755.

#SPJ1

Answer:

-13.6

Step-by-step explanation:

Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.

After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.

Let me know if you don't understand or need more explanation.

Answer:  z = 2

Step-by-step explanation:

2.4z+1.2z-6.5=0.7

3.6z-6.5=0.7

3.6z=0.7+6.5

3.6z= 7.2

z=7.2/3.6

z=2

Answer: 25 - 15 = 10

Step-by-step explanation:

Answer:

x<−2 or x<5

Step-by-step explanation:

x<−2 or x<5

We know either x<−2 or x<5

x<−2(Possibility 1)

x<5(Possibility 2)

Answer:

138.2

Step-by-step explanation:

Celsius to Farenheit

(59/5)*9=106.2

106.2+32=138.2 farenheit

Answer:

$2.61

Step-by-step explanation:

So, We have $5.22 for 6 pounds of Bananas.

If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3

In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100

5.22*100=522

Now we divide

522/2 = 261

Now we divide 261 by 100, since we multiplied by 100 earlier.

261/100 =2.61

So our answer is $2.61 for 3 pounds of bananas .

Hope this helps! ^^

Answer:$2.61 for 3 pounds  

Thank for the  brainliest

Step-by-step explanation:first you divided $5.22/6  because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,

The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula

m = (d-b)/(c-a)

In the question

it is given that the line passes through the points (-2,1) and (2,-1) .

name the points as A(-2,1) and B(2,-1) .

the values are a=-2  ,  b=1  ,  c=2  ,  d=-1 .

Substituting the values in the formula of Slope we get

m = (-1-1)/(2-(-2))

= -2/(2 + 2)

= -2/4

= -1/2

Therefore , the slope of the line passing through the points (-2,1) and (2,-1)  is -1/2 .

Learn more about Slope of Line here

https://brainly.com/question/18298097

#SPJ1

Answer:

Step-by-step explanation:

The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .

The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;

[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

Learn more about the properties of limits here:

https://brainly.com/question/13233499

#SPJ1

Answer:

[tex]-5.5 = \frac{-11}{2}[/tex]

[tex]-4.8 = \frac{-24}{5}[/tex]

Step-by-step explanation:

Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].

Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]

-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.

Po kolejne pytania po polsku należy się udać na brainly.pl

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].

Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]

Hope this helps!

The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.

The given  hypothesis are,

[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]

Type II error is accepted in null hypothesis when it is not actually true.

In the given question null hypothesis p= 0.35

The conclusion is that in the given sample proportion is  not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.

Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65

[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]

Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]

Solving for Z using the given values we get :

Z=1.99

Now 1.99>-1.65

So we accept [tex]H_0[/tex]

The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.

To learn more about sample of an experiment:

https://brainly.com/question/24466382

#SPJ9

The y-intercept is (0, C/B).

Given:

Then,

Therefore, the y-intercept is (0, C/B).

Know more about y-intercept here:

https://brainly.com/question/25722412

#SPJ4

Answer:

310 hamburgers were sold on Saturday

Step-by-step explanation:

1x + 70 =380

    -70   -70     Reverse

1x   =  310

/1         /1          Divide

x =310

Answer:

Domain: [-4,2]

Range: [-3,3]

Step-by-step explanation:

A = -4

B = 2

C = -3

D = 3

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

Learn more about independent events at https://brainly.com/question/22881926

#SPJ4

Answer:  Not closed under multiplication

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

Explanation:

Pick any two negative numbers that you want.

I'll go for -3 and -5

They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.

This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.

In a sense, this is the complete opposite of closed since the result is never negative.

Here's an example of a set that is closed under multiplication: integers

Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.

Answer:

4 %

Step-by-step explanation:

Answer:

m = e/c

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

<QRT and <VTU are alternate exterior angles, so they are congruent.

m<QRT = m<VTU

x + 40 = 2x -22

62 = x

m<QRT = x + 40 = 62 + 40 = 102

m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102