The tangent line to the graph of y = h(x) at the point (-1, 6) passes through the point (4, 2). Find h(-1) and h'(-1).How do I solve this?

Answers

Answer 1
Answer:

Answer:

h(-1)=7

point slope formula y-y1=m(x-x1), m slope, (x1,y1) point

slope is 2/10=1/5

y-9=(1/5)(x-9)=(1/5)x-(9/5)

y=(1/5)x+(36/5) the equation of the tangent line.

Step-by-step explanation:

The slope of the tangent line is the derivative of h(x). That is the slope of the line which is (1/5). The previous -1/5 was in error.


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Fill in the common equivalents. 1.) 66 2/3% = ?/?

)Line CP is a perpendicular bisector to line segment AB. If

Answers

Answer:

Step-by-step explanation:

Line CP is a perpendicular bisector to line segment AB

if

two congruent lines are formed when AB is intersected ( bisector forms two equal in measure and congruent parts)

and

a right angle is formed between the line CP and AB ( perpendicular lines form right angles.)

Persons younger than 18 years old are not eligible to vote. Let a be age in years. Which inequality models this situation?

A.
a < 18 and a may be a negative number

B.
a < 18 and a must be a positive number

C.
a > 18 and a may be a negative number

D.
a > 18 and a must be a positive number

Answers

D 18 and must be a positive number

-2 - 14 + 147
What is the value

Answers

The answer is 131.

-2-14 is -16
-16+147= 131

Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?

Answers

Answer:

The distance Conner walks each day is 10 miles

The distance Kevin walks each day is 7 miles

The distance John walks each day is 12 miles

Step-by-step explanation:

The question is a word problem

Let the number of miles Conner walks per day = x

The given inforf the totmation in the question are;

The distance Kevin walks per day = x - 3 miles

The distance John walks per day = x + 2 miles

In three days, the difference between the total distance John walks and the total distance Kevin walks is equal to half the total distance Conner walks

The number of miles each person walks per day is found as follows;

3×(x + 2) - 3×(x - 3) = 3·x/2

3·x + 6 - 3·x - (-9) = 3·x/2

3·x + 6 - 3·x + 9 = 3·x/2

3·x - 3·x + 6  + 9 = 3·x/2

0 + 6  + 9 = 3·x/2

15 = 3·x/2

x = 15×2/3 = 10 miles

x = 10 miles

Therefore, the distance Conner walks each day = 10 miles

The distance Kevin walks per day = (x - 3) miles = (10 - 3) miles = 7 miles

The distance Kevin walks per day = 7 miles

The distance John walks per day = (x + 2) miles = (10 + 2) miles = 12 miles

The distance John walks per day = 12 miles.

Work out (25/9) to the power of -3/2

Answers

To work out (25/9) to the power of -3/2, we can use the property of exponentiation. The negative exponent signifies taking the reciprocal of the base raised to the positive exponent. Additionally, the fractional exponent indicates taking the square root of the base raised to the numerator and then taking the reciprocal of the result raised to the denominator. Let's calculate it step by step.

The base of the parallelogram, b, can be found by dividing the area by the height.If the area of the parallelogram is represented by 6x2 + x + 3 and the height is 3x, which represents b, the length of the base?

Answers

The area of a parallelogram is:
 A = b * h
 Where,
 b: base
 h: height
 Clearing the base we have:
 b = A / h
 Substituting values we have:
 b = (6x2 + x + 3) / 3x
 Rewriting we have:
 b = 2x + 1 / x + 1/3
 Answer:
 the length of the base is:
 b = 2x + 1 / x + 1/3

Answer:

b =  2x+(1)/(3)+(1)/(x)

Step-by-step explanation:

The area of the parallelogram is represented by 6x^(2) +x+3

The height is 3x

The base of the parallelogram, b, can be found by dividing the area by the height.

So, 'b' can be found as (6x^(2)+x+3 )/(3x)

In simplified form, we can write this as :

=> (6x^(2) )/(3x)+(x)/(3x)+ (3)/(3x)

=> 2x+(1)/(3)+(1)/(x)

Hence, base or 'b' is 2x+(1)/(3)+(1)/(x)