The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y=-x-1
What is the solution to the system?

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)

[tex]V^{2}[/tex] = 196 - 41.202

[tex]V^{2}[/tex] = 154.8

v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

a = -9.81 m/s^2

0 = [tex]14^{2}[/tex] + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

7.49 = (0 x t) +  [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )

7.49 = 0 + 4.9[tex]t^{2}[/tex]

[tex]t^{2}[/tex]  = 7.49/4.9 = 1.53

t = [tex]\sqrt{1.53}[/tex] = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

Answer:

Step-by-step explanation:

Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.

6x^2 / 2 = 3x^2

10/2 = 5

You end up with 3x^2 + 5 as the length.

Answer & Step-by-step explanation:

Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.

(6x² + 10) ÷ 2

We can also put this into a fraction so it will be easier to know what you are dividing.

[tex]\frac{6x^2+10}{2}[/tex]

Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.

So, your width will be 3x² + 5

it would be a Line  

The line would be vertical right through the middle

can i get brainliest?

Answer:

lresaputa es la C  

Step-by-step explanation:

Answer:

b) 30^2 + b^2 = 40^2

Step-by-step explanation:

This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2

c ^ 2 always is on the right hand side of the equation.

In this case since 40^2 is c^2 is should be on the right side of the equation.

Answer:

C

Step-by-step explanation:

Equation:

[tex]\frac{x}{-2}+\frac{y}{10}=1\\\\\frac{x*5}{-2*5}+\frac{y}{10}=1\\\\\frac{-5x}{10}+\frac{y}{10}=1\\\\-5x+y=10\\\\y=5x+10[/tex]

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

The interest rate for the account is 1.68%

The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.

Given that,

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So, 20% of the interest = £30.24

Let the interest be x,

X0.2 = 30.24

X = £151.2

The total interest was = £ 151.2

The rate R at which generated this interest =

R = (100 × 151.2)/(1 × 9000)

R = 15120/9000

R = 1.68%

Hence, the interest rate = 1.68%

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Answer:

yes the corresponding angles are congruent...

it can be wrong

Answer:

C(x) = 25 + 2x

Step-by-step explanation:

He already has 25 cards.

He is collecting 2 cards per month. In x months, he will have collected:

2 * x = 2x cards

That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:

C(x) = 25 + 2x

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

Answer:

Rational

Step-by-step explanation:

Can convert it to a ratio (-415/1)

Answer:

Rational

Step-by-step explanation:

-415 is an integer. All integers are rational. It can be written as a fraction p/q, where p and q are integers and q is not equal to zero.

-415 can be written as [tex]-\frac{415}{1}[/tex].

Answer:

10

Step-by-step explanation:

Pythagorean theorem

c² = a² + b²

26² = a² + 24²

a² = 26² - 24² = 100

a = √(100) = 10

The length of unknown leg will be a = 10 units

The steps are as follow:

(hypotenuse)^2 = (Side)^2 + (Side)^2

(26)^2 = (24)^2 + (a)^2

676 = 576 + (a)^2

(a)^2 = 676 - 576

(a)^2 = 100

a = 10 units

So the length of unknown leg will be a = 10 units

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Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

A. 5

Step-by-step explanation:

The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.

From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:

(√61)² = (x)² + (x + 1)²

x² + x² + 2x + 1 = 61

2x² + 2x + 1 - 61 = 0

2x² + 2x -60 = 0

Dividing through by 2 gives:

x² + x - 30 = 0

x² + 6x - 5x - 30 = 0

x(x + 6) -5(x + 6) = 0

(x-5)(x+6) = 0

x-5 = 0 or x+6 = 0

x = 5 or x = -6

Since the length of a side cannot be negative, x = 5 units

Answer:

The correct answer is A.

Step-by-step explanation:

X=5

Answer:

Step-by-step explanation:

Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.

(8y^7)/(4y^5) = 2y^(7-5) = 2y^2

Answer: [tex]2y^{2}[/tex]

Step-by-step explanation:

8/4=2

[tex]y^{7} / y^{5} =y^{7-5} =y^{2}[/tex]

so the answer is 2y^2

Answer:

D

Step-by-step explanation:

Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too

Answer:

3(2x-1     )(x-5   )  

Step-by-step explanation:

6x^2-33x+15

Factor out the greatest common factor

3(2x^2 -11x +5)

Factor inside the parentheses

3(2x     )(x   )  

We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative

3(2x-1     )(x-5   )  

2 * -5 + -1 = -10-1 = -11

Answer:

729m^2

Step-by-step explanation:

Area of rectangle  = length x width

From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)

width = 3^2 = 9.

Now for the area: length x width = 81 x 9 = 729m^2.

Please mark brainiest.

Answer:

f(-2) = g(-2)

Answer:

10,000 nickles

Step-by-step explanation:

Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.

Multiply 40 x 250. This would give you 10,000.

Don't forget units.

The number of nickels in 250 rolls is 10000

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, There are 40 nickels in a roll. If I have 250 rolls of nickels, then the number of nickels in total is = 250×40

                                                     = 10000

Hence, The number of nickels in 250 rolls is 10000

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Answer:

The second option

Step-by-step explanation:

Adding n to the x inside of the parentheses moves the graph n units to the left

Answer:

5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.

Step-by-step explanation:

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is

2(x + 2)(x - 9) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)

y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.

Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.

And putting x = 0 gives the y-intercept of the function. (if any, for both cases).

Given the function as;

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is;

2(x + 2)(x - 9) = 0

Then Equate each factor to zero and solve for x;

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

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Answer:

Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].

Step-by-step explanation:

Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.

Apply this property to simplify the given expression:

[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]

[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.

Answer:

$16

Step-by-step explanation:

First subtract $351 from $895 to find the dollar amount we're considering.

($895 - $351 = $544)

Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged.  ($544 / 34 = $16)

Answer:

So since the sum of both is 13 because it shows both of the lines connected as a length of lines.

So we add them (14+x)+(x+15) = 13

14+2x+15 = 19+2x = 13

-6=2x

x=

-3

Step-by-step explanation:

Answer:

The slope is 6 and the y intercept is 4

(0,4)

Step-by-step explanation:

y = 6x + 4

This is in the form y = mx+b

where m is the slope and b is the y intercept

The slope is 6 and the y intercept is 4

(0,4)

Answer:

(1/6)(-10x - 4) = -4

Step-by-step explanation:

(1/6)(-3x - 24) = -4

=> -3x - 24 = -4 x 6

=> -3x - 24 = -24

=> -3x = 24 - 24

=> -3x = 0

=> x = 0 (not 2) => Incorrect option

(1/6)(-5x - 8) = -4

=> -5x - 8 = -4 x 6

=> -5x - 8 = -24

=> -5x = 8 - 24

=> -5x = -16

=> x = 16/5 (not 2) => Incorrect option

(1/6)(-10x - 4) = -4

=> -10x - 4 = -4 x 6

=> -10x - 4 = -24

=> -10x = 4 - 24

=> -10x = -20

=> x = 2 => Correct option

(1/6)(-12x - 16) = -4

=> -12x - 16 = -4 x 6

=> -12x - 16 = -24

=> -12x = 16 - 24

=> -12x = 8

=> x = -3/4 (not 2) => Incorrect option

=> Option C is correct

Hope this helps!

Answer: C. One-sixth (negative 10 x minus 4)

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!

Answer:

since 100% is everything

100 - 65 = 35%

Step-by-step explanation:

35% of the lights are off

Answer:

35% are off

Step-by-step explanation:

The lights are either on or off

That is 100%

100 -65 = 35

65% are on

35% are off

Answer:

Step-by-step explanation:

110 = 70 + X [ extarior angle property]

or, 110 - 70 = X

or , 40 = X

HOPE IT HELPS ...

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