A book 28 cm tall leans against the sidewall of a bookcase. The bottom of the book starts to slide away from the wall at a rate of 2 cm/sec. How fast is the top of the book moving down the wall when the bottom of the book is 12 cm from the wall?

Complete question :

A dolphin starts at an elevation of -16 3/4 feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of -5 1/4 feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answer:

2 3/10 feets

Step-by-step explanation:

Initial elevation = - 16 3/4 feets

Number of kicks = 5

Increase in elevation is the same for each kick

Final elevation = - 5 1/4 feets

Number of feets, x, dolphin travels per kick ;

Total elevation achieved after 5 kicks : ; change in elevation

Final elevation - initial elevation

16 3/4 - 5 1/4

67 /4 - 21/4

(67 - 21) / 4

= 46/4

Since change in elevation per kick is the same;

Number of feets traveled per kivk is ;

x = 46/4 ÷ 5/1

x = 46/4 * 1/5

x = (46*1) / (4*5)

x = 46/20

x = 2 6/20 = 2 3/10

Dolphin travels 2 3/10 feets per kick

Answer:

F(x)= 3x-4

Step-by-step explanation:

To find the slope use the formula y2-y1  

                                                          x2-x1

(2,2)

(0,-4)

-4-2 = -6   = 3x

0-2      -2

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

Step-by-step explanation:

6x - x² = k

=> x² - 6x + k = 0,

For there to be at least 1 real solution,

The discriminant b² - 4ac must be at least 0.

We have (-6)² - 4(1)(k) >= 0.

Therefore 36 - 4k >= 0, k <= 9.

Hence the largest value of k is 9.

Answer:

9

Step-by-step explanation:

Rearranging, this is the equation x^2 - 6x  = -k. Completing the square, we add 9 to both sides, and x^2 - 6x + 9 = 9 - k. Factoring the left side, we have (x - 3)^2 = 9 - k. In order for this equation to have at least one real solution, the right-hand side must be nonnegative. Thus, we have 9 - k [tex]\geq[/tex] 0 and k [tex]\leq[/tex] 9. Thus, the largest possible value of k is 9.

Answer:

210 calories : )

Step-by-step explanation:

hope this helps

Answer:

a quadrilateral is a four sided shape that has four straight sides

Answer:

The Correct Answer is 3

Step-by-step explanation:

Answer:

The answer is 12.8.

Step-by-step explanation:

0.16 times 80 = 12.8

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

Answer:

M is congruent to P, N is congruent to Q, and O is congruent to R.

Step-by-step explanation:

Congruent angles are angles with exactly the same measure.

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

alrighty then but yyyyy

Answer:

angle p+30=180=

=180-30=150

angle Q+55=180

=180-55=125

angle R+95=180

=180-95=85

Answer:

Step-by-step explanation:

Kendra has a goal to walk 10 miles in one week.

She has already walked 2 miles on Monday and 3 miles on Tuesday. This means that she has already walked:

= 2 + 3

= 5 miles

If she wants to walk a total of 10 miles with w being the remaining miles, the expressions will therefore be:

w + 5 = 10

or;

10 - 5 = w

Answer:

x=5 and y=-2

Step-by-step explanation:

3x+5y=5

-(7x+5y=25)

-4x=-20

x=5

plug 5 into one of the equations. 3(5)+5y=5

y= -2

Answer:

no

Step-by-step explanation:

y=x

Substitute the point into the equation

8=7

This is not a true statement, so the point is not a solution

nahhhhhhhhhhhhhhhhhh

Answer:

Answer is 154

Step-by-step explanation:

Answer:

uhh

Step-by-step explanation:

carrot?

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{4x-1}{2}+\frac{3x+4}{3}= \frac{23}{6}[/tex]

[tex]\frac{3(4x-1)}{6}+\frac{2(3x+4)}{6}= \frac{23}{6}[/tex]

[tex]\frac{12x-3+6x+8}{6}=\frac{23}{6}[/tex]

18x + 5 = 23

18x = 23 - 5

18x = 18

x = 1

Therefore, x = 1 is the solution of the given expression.

Answer:

is it never gonna give you up by official rick astley

Answer:To create an equivalent expression, you simply need to move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)

Step-by-step explanation:

Answer:

B)   35

Step-by-step explanation:

42x25÷30=35

Answer: (B)35

Step-by-step explanation: the ratio of the lengths of the first rectangle compared to the length of the second is 30:25, or 6:5. Do the same for the width. the first rectangle has a width of 42. divide it by 6, (according to the ratio) which is 7. then multiply it by 5 (also according to the ratio) and you get 35. Hope this helps.

Answer:

b=-3

Step-by-step explanation:

distribute 3(b-2) and you get 3b-6.

-3+4b=3b-6

add 3 on both sides.

4b=3b-3

-3b on both sides

b=-3

Answer:

4 is greater

Step-by-step explanation:

A negative divided by a positive = a negative.

No matter what y is, it will be a negative number.

Meaning, 4 a positive number, will be greater no matter what y is

Answer:

8.5

Step-by-step explanation:

Answer:

The equation of the straight line is

2 x + y +9=0

Step-by-step explanation:

Step(i):-

Given that the points are ( -1 , -7) and ( -2 , -5)

Slope of the line

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-5-(-7)}{-2-(-1)} = \frac{-5+7}{-2+1} = -2[/tex]

Slope of the line  m = -2

Step(ii):-

The equation of the straight line passing through the point (-1,-7) and having slope m =-2

[tex]y - y_{1} = m( x- x_{1} )[/tex]

y - (-7) = - 2( x-(-1))

y +7 = -2 ( x +1)

y +7 = -2 x -2

2 x + y + 7 + 2 =0

2 x + y +9=0

Final answer:-

The equation of the straight line is

2 x + y +9=0

Answer:

y= 0,4 x=0,3

Step-by-step explanation: