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Over [174]
3 years ago
14

Write an equation in point-slop form for the line that passes through each point with the give slope.

Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer: Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

Question 1(In Picture):

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

Question 2:

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

Hence,

Option B: y-1=0 is the correct answer.

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F is the midpoint of AB and E is the midpoint of AC If FE=x+5 and BC=3x+2, What is FE? A)10 B)11 C)12 D)13
Zigmanuir [339]

Answer:

Option D is correct.

FE = 13 units

Step-by-step explanation:

As per the statement: F is the midpoint of AB and E is the midpoint of AC.

If FE = x+5 units and

By midpoint theorem of line states that the points on a line segment equally distant from the two endpoints.

Then, by midpoint theorem of line we have;

FE =\frac{1}{2}BC

Substitute the given values we have;

x+5 = \frac{1}{2}(3x+2)

Multiply both sides by 2 we getl;

2(x+5) = 3x+2

Using distributive property:

a\cdot (b+c) = a\cdot b+ a\cdot c

2x + 10 = 3x+ 2

Subtract 2 from both sides we get;

2x + 8 = 3x

Subtract 2x from both sides we have;

8 = x

or

x =8 units.

We have to find the value of FE.

FE = x +5 = 8+5 =13 units

Therefore, the value of FE is, 13


5 0
3 years ago
a solution consisting of 52 mg of dopamine in 26 mL of solution at a rate of 10 mL/hr what is the flow rate in mg of dopamine pe
aivan3 [116]

Answer:

20 mg / hour

Step-by-step explanation:

The first step is to find the mg/mL of dopamine.

If there are 52 mg / 26 mL, then there are 2 mg / 1 mL (just reduce the fraction).

If we are losing 10 mL / 1 hour, and there are 2 mg / mL, then the flow rate of dopamine mg / hour is 20.

You can also do this using dimensional analysis.

\frac{52 mg}{26 mL} (\frac{10 mL}{1 hour})

Just cross out the units that cancel in the numerator and denominator (mL in this case), and you're left with mg / hour. Then multiply the numerators and divide by the denominators. You get the same answer.

4 0
4 years ago
The mean of 100 numerical observation is 51.18 what is the value of the sum of all 100 numbers
malfutka [58]
The "mean" is the same thing as the "average".

To get the average, you add up all the numbers on the list,
then divide the big sum by the number of items on the list.

If there are 100 numbers on the list, then in order to find their average,
you would add up all 100 numbers, then divide the big sum by 100.

If you wound up with an average of 51.18, then you must have had
5,118 just before you divided it by 100.  So the big sum is 5,118.
8 0
3 years ago
consider a study conducted to determine the average protein intake among an adult population. Suppose that a confidence level of
uysha [10]

Answer:

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Proteins and other nitrogenous compounds are being degraded and resynthesized continuously. Several times more protein is turned over daily within the body than is ordinarily consumed, indicating that reutilization of amino acids is a major feature of the economy of protein metabolism. This process of recapture is not completely efficient, and some amino acids are lost by oxidative catabolism. Metabolic products of amino acids (urea, creatinine, uric acid, and other nitrogenous products) are excreted in the urine; nitrogen is also lost in feces, sweat, and other body secretions and in sloughed skin, hair, and nails. A continuous supply of dietary amino acids is required to replace these losses, even after growth has ceased.

Amino acids consumed in excess of the amounts needed for the synthesis of nitrogenous tissue constituents are not stored but are degraded; the nitrogen is excreted as urea, and the keto acids left after removal of the amino groups are either utilized directly as sources of energy or are converted to carbohydrate or fat.

3 0
3 years ago
Two pieces of molding 2 1/8 inches and 2 1/8 inches long are placed end to end. What is the total length of the two pieces of mo
jeka94

Answer:

1 hole 2 1/8 and 2 1/ 8 you add them together and it equal 1 hole

6 0
3 years ago
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