What is the midpoint of the segment shown below? ​

Answer:

[tex]\displaystyle y = \frac{1}{2}x + 5[/tex]

Step-by-step explanation:

Equation of a Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

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

We'll use the points (-4,3) and (2,6), thus:

[tex]\displaystyle m=\frac{6-3}{2+4}=\frac{3}{6}=\frac{1}{2}[/tex]

Now we use the point-slope form using the point (2,6):

[tex]\displaystyle y - 6 = \frac{1}{2}( x - 2 )[/tex]

Operating:

[tex]\displaystyle y - 6 = \frac{1}{2}x - 1[/tex]

[tex]\displaystyle y = \frac{1}{2}x - 1 + 6[/tex]

[tex]\boxed{\displaystyle y = \frac{1}{2}x + 5}[/tex]

Answer:

16

Step-by-step explanation:

According to the given description, PS is the mid segment of the [tex] \triangle TQR[/tex]

Therefore by Mid-segment Theorem:

[tex]PS = \frac{1}{2} QR \\ \\ PS = \frac{1}{2} \times 32 \\ \\ PS =16 \: [/tex]

Answer:

D

Step-by-step explanation:

(-8) - (-8) = (-8) + 8 = 0

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

Answer:

x²+6x +8 ≥ 195

Step-by-step explanation:

The age of C is represented by  c=  x .

Building B was built two years before building C.

Age of Building B   b = x+ 2

Building D was built two years before building B

Age of Building d= x+4

The product of the building B’s age and building D’s age is at least 195.

b*d ≥ 195

≥ means product is greater than or equal to 195 at least 195

Putting the values of b and d

(x+ 2) (x+4) ≥ 195

It can be further solved

x²+6x +8 ≥ 195

Answer:

x^2+6x+8>195

Step-by-step explanation:

Given:

Total number of students = 20

The marks of the students are 40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37 and 40.

To find:

The frequency distribution table with class size 10.

Solution:

We have, the marks of 20 students.

40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37, 40

Here,

Minimum value = 12

Maximum value = 48

We nee class intervals of size 10. So, the required class intervals are 10-20, 20-30, 30-40, 40-50. In these intervals, lower limit is excluded but the upper limit included.

The required frequency distribution table is

Class intervals      Marks                                                  Frequency

10-20                    12, 15                                                            2

20-30                   22, 27, 20, 25                                             4

30-40                   36, 30, 31, 34, 36, 39, 36, 37                      8

40-50                   40, 41, 43, 48, 46, 40                                  6

Total                                                                                        20

Therefore, the frequency distribution table is

Class intervals:      10-20        20-30        30-40         40-50         Total

Frequency      :          2                4                8                6                20

Answer:

Step-by-step explanation:

in this triangle

X^2=a^2+b^2

X^2=15^2+8^2

x^2=225+64

x^2=289

x=17

Answer:

X is always equal to 1 no matter the equation. In this it looks like you are using Pyth. Theory. If its not sorry, but X = 1  

Step-by-step explanation:

[tex]A^{2} +B^{2}=C^{2} \\15^{2}+8^{2} \\225+64\\C^{2}=289\\\sqrt289\\C=17[/tex]  

Answer:

Step-by-step explanation:

Por aspa simple:

x²+x-30=0

X       +6

X        -5

(x+6)(x-5)=0

x+6=0

x=-6

x-5=0

x=5

espero te sirva suerte en tus estudios :D

Answer:

1. -21

ill do others in a bit

Answer:

x=-1/4

Step-by-step explanation:

-4/16=16x/16

-1/4=x

Answer:

7+- root 57 / 4

d. 7+root 57/4 , 7-root 57/4 on edg

Step-by-step explanation:

got it right :)

Answer:

D

Step-by-step explanation:

Edge 2021

Answer:

The answer would be Scale factor of 3

Answer:

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials. It pulls precipitation down from clouds and pulls water downhill. Gravity also moves air and ocean water. Gravity pulls denser air and water downward, forcing less dense air and water to move upward.

Step-by-step explanation:

Answer:

Y=3/7x+8 and y=-7/3x-34/3(11 1/3)

Step-by-step explanation:

for the perpendicular line, the slope is the opposite inverse (3/7) and since 3/7×-7=-3, -3+8=5, hence, y=3/7x+8.

for the parallel line the slope is the same, and since -7/3×-7=49/3,

and 49/3-15/3(5)=34/3, the equation is y=-7/3-34/3

Answer: 77/30

Step-by-step explanation:

Hope this helps :)

Answer:

THe answer is 1092.

Step-by-step explanation:

1 + 1 + 90 + 1000

2 + 90 + 1000

92 + 1000

1092

Answer:

YEA!! THX

Step-by-step explanation:

Answer:

The picture is to blurry to read

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Its a perfect square and 27*3=81

Answer:

1/6

Step-by-step explanation:

1 peice of pizza for each person with a total of 6 peices

Answer:

f*g(x) =  -25

Step-by-step explanation:

f*g(x) = f(x) * g(x) = x² * (3x + 14)

f*g(x) = (-5)² * (3*-5 +14) = 25 * (-1) = -25

Answer:

its option 3

Step-by-step explanation:

got 100% on it

Blinding and placebo should be used in this experiment to prevent patients from knowing which therapy they are receiving and to account for the placebo effect.

A person experiences the placebo effect when their physical or mental health seems to get better after receiving a placebo or "dummy" treatment. A treatment that seems to be real but is intended to have no therapeutic benefit is referred to as a placebo.

Given, If a new cholesterol drug is more successful than the old one, a doctor wants to know. The doctor tells his patients about the new drug and inquires about their interest in taking part in a trial. Randomly chosen patients who are already receiving cholesterol medication are given the new drug. The patients' cholesterol levels are assessed after two months.

Treatments with placebos cause the brain to react in a real way. Belief in the efficacy of a treatment can cause the release of neurotransmitters, the synthesis of hormones, and immunological response, which can reduce the symptoms of pain, inflammatory diseases, and mood disorders.

Therefore, In order to keep patients from knowing which therapy they are taking and to take the placebo effect into account, blinding and placebo should be employed in this experiment.

Learn more about the placebo effect here:

https://brainly.com/question/29811617

#SPJ2

Answer:

13.46

Step-by-step explanation:

the number after 6 is less than 5 so the number wont change

Answer:i DIO! think the answer would be 50

Step-by-step explanation:

if im correct please give me brainly wrrryyyyy... (yes im a weeb)

Answer:

No

Step-by-step explanation:

Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.

Answer:

n = -4, -1/3.

Step-by-step explanation:

3n^2 + 13n+4= 0

3n^2 + 12n + n + 4 = 0

3n(n + 4) + 1(n + 4) = 0

(3n + 1)(n + 4) = 0

n = -4, -1/3.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 43=1 81=3 Might not be right. Hope it is.