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Alinara [238K]
3 years ago
14

The midpoint of a line segment with end points as (-10, y1) and (-6, 7) is (-8, 6). What is the value of y1?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0
The formulae for the midpoint are correct:

M ( (x₂-x₁)/2 , <span>(y₂-y₁)/2 )

You need to invert these to get x</span>₁ and y₁:
x₁ =2xm - x₂
y₁ =2ym - y₂

Try with the x to prove the formulae are correct:
x<span>₁ =2·(-8) - (-6) = -16 + 6 = -10  which is what we have!

Then, use</span> the other formula for y:
<span>y₁ =2 ·(6) - (7) = 12 - 7 = 5

Therefore y</span>₁ = 5
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Name 5 body parts and five foods
tatiyna

Answer:

Arm, leg, toe, head, foot

French toast sticks (My fave), pizza, cheeseburgers XD, fries, and hotdog

Step-by-step explanation:

Was this for your school work or were you being funny lol?

3 0
2 years ago
Read 2 more answers
What is a simpler form of the expression? Show all steps <br> -3(-4y+3)+7y
Igoryamba

Answer:

19y-9

Step-by-step explanation:

apply distributive property

-3(-4y)-3 x 3 + 7y

12y - 3 x 3 + 7y

12y - 9 + 7y

add 12y to 7y

19y-9

7 0
3 years ago
Read 2 more answers
A solid right​ (noncircular) cylinder has its base R in the​ xy-plane and is bounded above by the paraboloid zequalsx2plusy2. Th
Aleonysh [2.5K]

Answer:

a. V = 4/3

b. See attachment

Step-by-step explanation:

a.

Given

Z = x² + y²

V = ∫ ∫ (x² + y²) dxdy {0,1}{0,y} + ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}

V = ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}

Integrate with respect to y

V = ∫ x²y+ y³/3 dx {0,1}{x,2-x}

V = ∫ x²(2-x) + (2-x)³/3 - x²(2) - (2)³/3 dx {0,1}

V = ∫ 2x² -7x³/3 + (2-x)³/3 dx {0,1}

V = 2x³/3 - 7x⁴/12 + (2-x)⁴/12 {0,1}

V = (⅔ - 7/4 + 2/12) - (0-0+16/12)

V = 4/3

5 0
3 years ago
What is the value of x in the equation x – y = 30, when y = 15?<br><br> 4<br> 8<br> 80<br> 200
AVprozaik [17]

<u>Answer:</u>

45

<u>Step-by-step explanation:</u>

We are given an equation <em>x - y = 30 </em>which we are to solve for x when the value of y is 15.

To solve this linear equation for x, we just need to substitute the given value of y into the equation to get the value of x.

x - y = 30

x - 15 = 30

x = 30 + 15

x = 45

Therefore, the value of x is 45 when y = 30.

Unfortunately this value is not in the given options but 45 is the correct answer.

5 0
2 years ago
Read 2 more answers
in general the value of a car decreases with age what would ne the correlation between the age and values of all cars -1, 0.7, 1
ASHA 777 [7]

Answer:

Option D, i.e., -0.7.

Step-by-step explanation:

Correlation describes the relation between two variables. It is defined by r and the value of correlation lies in the interval [-1,1].

If r=1, it represents strong positive correlation between two variables.

If r=0, it represents no correlation between two variables.

If r=-1, it represents strong negative correlation between two variables.

It is given that the value of a car decreases with age. The value of one variable decreases if the value of another variable increases. It means, the given problem has negative correlation.

If the data points lie about a straight negative line then coefficient is -1.

Since, the data set is not given, so the it represents moderate negative correlation, i.e, r=-0.7.

Therefore, the correct option is D.

8 0
2 years ago
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