What is the solution to the system of equations?

Answer:

312.5 m

Step-by-step explanation:

let distance be d and velocity be v , then

d = kv² ← k is the constant of variation

To find k use the condition d = 112.5, v= 15

112.5 = k × 15² = 225k ( divide both sides by 225 )

0.5 = k

d = 0.5v² ← equation of variation

When v = 25 , then

d = 0.5 × 25² = 0.5 × 625 = 312.5 m

Answer:

868412

Step-by-step explanation:

434206x2=868412

Answer: 25%

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

Answer:

The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16

Step-by-step explanation:

First rearrange

5x-8y=-29

5x+29=8y

5/8x+29/8=y

Then sub in your x values

Step-by-step explanation:

5x-8y=-29

5(6)-8(5)

30-40

=-10

no

5(-9)-8(-2)

=-45+16

=-29

yes

5(-3)-8(1)

-15-8

=-23

no

5(0)-8(-4)

=0+32

=32

no

Answer:

2- × 5

Step-by-step explanation:

Answer:

-11[tex]\leq[/tex]x[tex]\leq[/tex]8

Step-by-step explanation:

The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.

The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

The coordinate is written as (x,y)

Here, x is the horizontal distinctions and y is the vertical distinctions.

In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.

Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".

For more about coordinates,

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Answer:101

Step-by-step explanation:

The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]

The formula for calculating the volume of a cone is expressed as:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

The volume of the frustum will be expressed as:

Vf = Volume of the larger cone - Volume of the smaller cone

The volume of the larger cone  = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]

Taking the difference in volume:

Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]

Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]

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Answer:

15 1/12 feet

Step-by-step explanation:

Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet

6 3/4 + 8 1/3

= 6 9/12 + 8 4/12

=15 1/12 feet

The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.

The equation is already in slope-intercept form.

[tex]y = - x + 4[/tex]

Answer:

Step-by-step explanation:

Q8:

y= -x+4   (given)

Slope of given the line=-1

For required slope which is passing through (6,5):

Using Point slope form:

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

y-5=-1(x-6)    (m=-1 because lines are parallel)

y-5=-x+6

x+y-5-6=0

x+y-11=0

Q9:

y=-4x-7

slope of the given line:

m=-4

Slope of required line:

m=1/4

Using Point slope form:

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

y+1=1/4(x-8)

4y+4=x-8

x-4y-8-4=0

x-4y-12=0

Answer:

Below.

Step-by-step explanation:

Part A.

m < RPB = 180 - 115 = 65 degrees.

So the m < x =  180 - 65 - 62

= 53 degrees.

Part B.

First line of Part A:

M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

Answer:  25/27

Step-by-step explanation:

4/9 + 4/5 (2/3)^2

4/9 + (4/5)(4/9)

4/9 + (16/54)

24/54 + 16/54

50/54

25/27

Answer:4/5

Step-by-step explanation:

Answer:x=10

Step-by-step explanation:

First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10

Answer:

6.4 miles per hour

Step-by-step explanation:

Answer:

1.6m/h

Step-by-step explanation:

6.4/4=1.6m/h

aaaaaaaa

Answer:

I think is 1/9

Because they say the sum is 9 and what will be chance in landing in 2

Answer:

4.8 $

Step-by-step explanation:

5 cans = 3 $

then:

1 can  = 0.6 $ because 0.6*5 = 3

Now 0.6*8 cans = 4.8 $

Answer:

  $4.80

Step-by-step explanation:

The cost will be proportional to the number of cans. If the number of cans goes up by a factor of 8/5, so does the cost.

  cost of 8 = (8/5)($3.00) = $4.80

Step-by-step explanation:

A. monomial

B. polonomial

hope it helps.

stay safe healthy and happy.

Answer:

A= monomial

B= trinomial

Answer:

it's the last one in the lower right corner.

========================================================

Work Shown:

1 yard = 3 feet

3 yards = 9 feet (multiply both sides by 3)

3 yards + 2 feet = 9 feet + 2 feet = 11 feet

1 foot = 12 inches

11 feet = 132 inches (multiply both sides by 11)

11 feet + 3 inches = 132 inches + 3 inches = 135 inches

Answer:

C

Step-by-step explanation:

C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.

Answer:

C

Step-by-step explanation:

If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function

X       1        1             2                   3      4

________________________________________________________      

Y      0       3              4              2           6  

this would not be a function because the one is at two different heights.

if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function

Answer:

y = 4x + 8

Step-by-step explanation:

Firstly, choose 2 points ( I chose [2,11] and [4,19] ) use y2-y1/x2-x1 to find your slope of 4, next use one of the points to find your y-intercept, plug the two coordinates into your equation to get 11 = 4 (2) + b , after simplifying, your answer is y = 4x + 8

Brainliest would be appreciated. :-)

Answer:

-1/8x+3

Step-by-step explanation:

Answer:

y = -1/8x+3

Step-by-step explanation

your slope intercept form should be written as y=mx+b

m = slope = -1/8

y intercept = b = 3

now just replace m and b with your values

y = -1/8x+3

Answer:

1350 cm³

Step-by-step explanation:

we have given that,

• Height of A = 10 cm.

1350

• Volume of A = 400cm³.

• Height of B = 15 cm.

• Both A and B solids are similar.

from above told concept we get,

→ V(A) / V(B) = (Height of A)³ / (Height of B)³

Putting all given values we get,

→400/ V(B) = (10)³/(15)³

→400/V(B) = (1000/3375)

→ V(B) = (400*3375) / 1000

→ V(B) = (4 * 3375) / 10

→ V(B) = 1350 cm³. (Ans.)

Hence, Volume of B will be 1350 cm³.

Answer:

The required equation is:

Step-by-step explanation:

I think that's the answer

The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.

Given that car is moving at a constant speed.

Distance travelled by car = 936 feet

Time taken to travel the distance = 8 seconds

Speed = Distance / Time

           = 936 / 8

           = 117 feet per second

So the car will be moving at a speed of 117 feet per second at any time t.

Distance of car at any time is,

Distance = Speed × Time

d = 117 × t

d = f(t) = 117t

Hence the linear function which models the relationship between d and t is d = f(t) = 117t.

Learn more about Linear Functions here :

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Answer:

2/3

Step-by-step explanation:

I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!

Hello there!

We are given the equation of the line

y=2x+3

What's the equation of the line perpendicular to it?

Therefore, this is the equation. Hope it helps. Good luck.

To clarify any doubts, use the comment section.

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