What is the rate of change of the following equation?
-5x - 4y = 16

Answer:

first use the equation m = y2 - y1 / x2- x1 to get the slope

m = -2 - 2 = -4

m = 3 + 7 = 10 when there is a negative for x1 it turns positive

the slope is -4/10 or -2/5

now plus the info into the point slope equation

y - y1 = m (x-x1)

this is in point slope form y - 2 = -2/5 (x + 7)

This is how to get it in y-intercept form

y -2 = -2/5x + -2.8

now add -2 on both sides to the -2.8

y = -2/5x (Slope)  + -0.8 y- intercept

Hopefully this is right becuase this is just what i learned

Step-by-step explanation:

Answer:

1/4 , .25 , twenty five percent.

Step-by-step explanation:

Answer: 1/4 0.25  2 out of 8

Step-by-step explanation:

Answer:

4/5 of 90 is 72°

supplement=angle1+angle 2= 360°

so if 1 angle is 72°

then the other angle is 360-72=288°

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

tax =1.08

price after tax is 19.08

Step-by-step explanation:

6%=0.06

18(.06)= 1.08

18+1.08=19.08

Answer:

5. 28

6. 6

8. 1,232

9. 2

Step-by-step explanation:

When you know both numerators (the numbers on top) or both denominators (numbers on bottom), you can divide the second by the first and then apply that to the other side. For example, on question five, I divided twenty by fifteen. The answer is 1.33333... or [tex]1\frac{1}{3}[/tex], or [tex]\frac{4}{3}[/tex]. So I multiply 21 by this number and my answer is 28. If visualization helps:

[tex]\frac{15}{21} =\frac{20}{y}[/tex]

Step 1: 20 ÷ 15 = [tex]\frac{4}{3}[/tex] (second number divided by first number, using the side where we know both numbers)

Step 2: 21 × [tex]\frac{4}{3}[/tex] = 28 (y = 28. solved!)

You can do the same thing on question nine, even though the known numbers are on the bottom instead of the top. Fifteen divided by 120, then multiply sixteen by your answer - 0.125 - and you will see that j (i?) = 2 :)

If you have any questions, feel free to ask. Hope this helped!

Answer:

AL=aa2+4h2

IS the formula for square pyramid.

Answer:

The formula for a lateral area formula of a square pyramid:

2a√((a^2/4)+h^2)

a = is the base

h = height of triangle

Answer:

2 meters^2

Step-by-step explanation:

Area of a rectangle = length x width

8/3 x 3/4 = 2

Answer:

The simplest answer is to make the fraction 27/1, using the denominator 1. The number 27 is equal to 27 units. Also it can be written as 54/2 or 81/3 or 108/4 or 135/5, etc. In general you have 27n for the numerator and n for the denominator, where n is an integer greater than zero.

Answer:

-8/15

Step-by-step explanation:

Reduce by 3

Answer:

[tex]\boxed {\boxed {\sf x \approx 41}}}[/tex]

Step-by-step explanation:

Remember the three trigonometric ratios:

Examine the triangle. We have an angle measuring 59°.

The side measuring 35 is opposite the angle. x is the hypotenuse because it is the longest side.

Since we have the opposite side and the hypotenuse, we use sine.

[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]

[tex]sin 59=\frac{35}{x}[/tex]

Now, solve for x by isolating the variable. We can cross multiply.  Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator.

[tex]\frac {sin59}{1}=\frac{35}{x}[/tex]

[tex]sin59*x=35*1 \\[/tex]

[tex]sin59*x=35[/tex]

x is being multiplied by sin 59. The inverse of multiplication is division. Divide both sides by sin59.

[tex]\frac {sin59*x}{sin59}=\frac {35}{sin59}[/tex]

[tex]x= \frac {35}{0.8571673007} \\[/tex]

[tex]x=40.8321689[/tex]

Let's round to the nearest whole number.

The 8 in the tenths place tells us to the 0 to a 1.

[tex]x \approx 41[/tex]

The hypotenuse of the triangle is approximately 41.

Answer:

[tex]\displaystyle 41 \approx x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{35} = csc\:59 \hookrightarrow 35csc\:59 = x; 40,832168903... = x \\ \\ \boxed{41 \approx x}[/tex]

OR

[tex]\displaystyle \frac{35}{x} = sin\:59 \hookrightarrow xsin\:59 = 35 \hookrightarrow \frac{35}{sin\:59} = x; 40,832168903... = x \\ \\ \boxed{41 \approx x}[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer:

PC = 12 , AP = 10

Step-by-step explanation:

For each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, then

(1)

PC = 2 × PF = 2 × 6 = 12

(2)

AP = [tex]\frac{2}{3}[/tex] × AD = [tex]\frac{2}{3}[/tex] × 15 = 2 × 5 = 10

Answer:

1. cos(F) = 2. 5/13

tan (F) = 3. 12/5

sin (F) = 1. 12/13

2. Sin (R) = 1. 60/68 = 30/34 = 15/17

cos (R) = 2. 32/68 = 16/34 = 8/17

tan (R) = 3. 60/32 = 30/16 = 15/8

Step-by-step explanation:

1 picture:

sin = Opp/Hyp

cos = adj/hyp

tan = opp/adj

cos(F) = 2. 5/13

tan (F) = 3. 12/5

sin (F) = 1. 12/13

2 Picture:

Sin (R) = 1. 60/68 = 30/34 = 15/17

cos (R) = 2. 32/68 = 16/34 = 8/17

tan (R) = 3. 60/32 = 30/16 = 15/8

1. cos(F) = 2. 5/13

tan (F) = 3. 12/5

sin (F) = 1. 12/13

2. Sin (R) = 1. 60/68 = 30/34 = 15/17

cos (R) = 2. 32/68 = 16/34 = 8/17

tan (R) = 3. 60/32 = 30/16 = 15/8

Step-by-step explanation:

1 picture:

sin = Opp/Hyp

cos = adj/hyp

tan = opp/adj

cos(F) = 2. 5/13

tan (F) = 3. 12/5

sin (F) = 1. 12/13

2 Picture:

Sin (R) = 1. 60/68 = 30/34 = 15/17

cos (R) = 2. 32/68 = 16/34 = 8/17

tan (R) = 3. 60/32 = 30/16 = 15/8

HOPE THIS HELPS

Answer:

See the explanation

Step-by-step explanation:

Given data

The Given figure is already a whole number

Say the figure is $495.566

Then we can round this up to the nearest cent by considering the third decimal place

Hence the rounded figure will be

=$495.57

Answer:

8m

Step-by-step explanation:

Answer:

x=100, hope this helped.

Answer:

126

Step-by-step explanation:

trust

Answer:

if your base is 14 and your height is 18 or the other way around then its:

14 x 18 = 252

252 divided by 2 = 126

Step-by-step explanation:

Formula of a triangle:

BH x 1/2 (basically dividing by 2)

B is your base which is the length on the bottom of the triangle and the height is the line that is put in between the triangle. You multiply those then divide by 2 since your multiply 2 with it.

Answer:

Length = 75 ft

Width = 72 feet

Volume = 32,400 ft3

Water is around 242,998 gallons

Step-by-step explanation:

Just convert the yards to feet

25 yards long = 75 ft in length

8 lanes * 3 yards wide = 24 yards = 72 feet wide

And then for the volume, since it's a swimming pool, the formula will be l*w*h, and if we plug in the numbers (75 * 72 * 6 (it's 6 because they said the depth was six and in a pool the depth = height)) and that'll equal 32,400 ft to the third power

For the water, we just have to multiply the volume by 7.5 gallons by converting 7.5 gallons to feet, and then multiplying that by the volume, and then converting that to feet, and the final answer is about 242,998 gallons

Answer:

Length; 75 ft  

Width; 72 feet  

Volume; 32,400  

Water is around 243k gallons

Step-by-step explanation:

Answer:

It is growth if the number in the parenthesis is greater than 1.

It is decay if the number in the parenthesis is less than 1.

For example y = 300[tex](2)^{x}[/tex] is growth and [tex]y = 100(.5)^{x}[/tex] is decay

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

add both and make it equal to 180

9x-9=189

x=21

Answer:

x = 14

Step-by-step explanation:

Hi,

To begin, distribute the 2 to the x and -9.

So...

2 ( x - 9 ) = 10

2x - 18 = 10

2x = 28

x = 14

I hope this helps :)

Answer: It's the second answer. Subtract 22 from 50, then divide the result by 3.

Step-by-step explanation: 3x+22= 50. You need to subtract 22 to both sides which will become 3x=28. Then you need to divide each side by 3, and the answer is 9.3 (With 3 repeating).

Answer:

1.4 hours

Step-by-step explanation:

Runner A:

Speed = 8.1 mph

Time, = t

Runner B :

Speed = 6.3 mph

Time, = t

Distance apart = 20.16 miles

Distance = speed * time

Distance of Runner A + Distance of runner B = distance apart

8.1t + 6.3t = 20.16

14.4t = 20.16

t = 20.16 / 14.4

t = 1.4 hours

Number of hours, t = 1.4 hours

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

[tex]\angle TPR=8x+7-75=360-150-91-75\\8x=112\\x=14[/tex]

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

90 + 50 +10x = 180     {Combine like terms}

  140 + 10x = 180    {Subtract 140 from both sides}

             10x = 180 - 140

             10x = 40 {Divide both sides by 10}

                x = 40/10

x = 4

Answer:

0.011

Step-by-step explanation:

1/5= 0.2

0.211-0.2=0.011