3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11

i gotchu: (-8,0) (0,-4) (4,-6)

Answer:

(-8,0) (0,-4) (4,-6)

Step-by-step explanation:

Answer:

The equation that describes the path of the water balloon is:

[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]

Step-by-step explanation:

The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from [tex]A(x,y) = (0\,ft, 5\,ft)[/tex] and hits Arnold at [tex]B(x,y) = (20\,ft, 5\,ft)[/tex]. Given the property of symmetry of quadratic function, water ballon reaches its maximum at [tex]C(x,y) = (10\,ft,15\,ft)[/tex], which corresponds to the vertex of the standard equation of the parabola, whose form is:

[tex]y = a\cdot (x-h)^{2}+k[/tex] (Eq. 1)

Where:

[tex]a[/tex] - Vertex parameter, measured in [tex]\frac{1}{ft}[/tex].

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, measured in feet.

[tex]x[/tex], [tex]y[/tex] - Horizontal and vertical location of the ball, measured in feet.

If we know that [tex]x = 0\,ft[/tex], [tex]y = 5\,ft[/tex], [tex]h = 10\,ft[/tex] and [tex]k = 15\,ft[/tex], the vertex parameter is:

[tex]5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft[/tex]

[tex]a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}[/tex]

[tex]a = - \frac{1}{10}\,\frac{1}{ft}[/tex]

The equation that describes the path of the water balloon is:

[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]

Answer:

Jacinth = 17

Naomi = 13

Step-by-step explanation:

they add up to 30 and follow the criteria

Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.

Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.

The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.

Combining like terms, we have 2x + 4 = 30.

Subtracting 4 from both sides, we get 2x = 26.

Dividing both sides by 2, we find x = 13.

Therefore, Naomi's age (x) is 13 years old.

To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.

So, Jacinth is 17 years old, and Naomi is 13 years old.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ2

Answer:

247

Step-by-step explanation:

Answer: 247

Step-by-step explanation: 247

Answer:

Im not sure ok

Step-by-step explanation:

Im trying to solve too

Answer:

2450

Step-by-step explanation:

30% of 3500

30÷100×3500

=30×35

=1050

3500-1050

=2450

Answer:

Ok... hmmmmm

So im going to assume that this is an adding fractions question so for a half batch it would be 1 1/4 + 2 2/4 which is 3 3/4 cups and for a double batch it would be 15 cups because 10 + 5 is 15.

The first blank probably is 3 3/4

The second blank probably is 15

<3 I already answered this on the other question but I want points so tysm.

Answer:

grapgh?????

Step-by-step explanation:

Answer:

23,490

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the line is perpendicular to y=1/2x-3

so its gradient, m, would be -2 (m¹m²= -1)

sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form

y-y¹ = m(x-x¹)

The equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-2,2)

Then the equation of a line perpendicular to the graph of y= 1/2x-3.

its gradient, m, would be; -2 (m¹m²= -1)

Now Write the equation as;

y-y₁ = m(x-x₁)

y - 2= -2(x + 2)

y = -2x - 2

Hence, the equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

Learn more about equations here;

brainly.com/question/25180086

#SPJ5

Answer:

9.008 < 9.08

Step-by-step explanation:

9.08 is greater because you compare the number 9 and 9 are the same, 0 and 0 still the same, but then 0 and 8 you know eight is greater. was this helpful enough

Answer:

40% increase

Step-by-step explanation:

First, find the difference:

161-115=46

Then divide by the past price to get the percent increase:

46/115=.4=40%

Answer:

1.02 pounds left

Step-by-step explanation:

Skip the bar graph, just subtract .28 from .30 and voila!

Answer:

slope is easy it is rise over run.

Step-by-step explanation:

rise/run

rise means up

run means move sideways.

Answer: what do you mean by slope?

Step-by-step explanation:

the game that you have to control a ball and you have power-ups and you have to stay on platforms and you have to avoid the red rectangles?

Answer:

18

Step-by-step explanation:

7r - 15/s

First step: Substitute

7(3) - 15/5

21 - 3

21 - 3 = 18

Answer:

-101

Step-by-step explanation:

5ac - 26

5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)

-15 × 5 - 26

- 75 - 26

- 101

I hope this is helpful.

Answer:

10.6 hours

Step-by-step explanation:

Answer:

4x (9+2)

Step-by-step explanation:

36x+8x

36 and 8 can be divided by 4 and they both have an x

[tex]36x + 8x = 4x(9 + 2)[/tex]

[tex]44x = 36x + 8 x[/tex]

[tex]44x = 44x[/tex]

The Answer is

[tex] \green {\boxed{4x(9+2)}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Answer:

there are teo solutions that can be written as tge difference of square have.

There are two possible solutions for the quadratic equation that can be written as the difference of squares.

A quadratic equation is of the form -

y = f(x) = ax² + bx + c

Given is a quadratic equation that can be written as the difference of squares.

A quadratic equation that can be written as the difference of squares is of the form -

(x² - a²)

For the roots, we can write the equation as -

(x² - a²) = 0

x² = a²

x  = ± a

Therefore, there are two possible solutions for the quadratic equation that can be written as the difference of squares.

To solve more questions on quadratic equation, visit the link below -

brainly.com/question/1041084

#SPJ3

Answer:

3.98 seconds

Step-by-step explanation:

The given relationship between height, in feet, and the time, in seconds, is

[tex]h(t)=-10t^2+40[/tex]

[tex]\Rightarrow t^2=\frac{40-h(t)}{10}[/tex]

[tex]\Rightarrow t= \pm\sqrt{4-0.1h(t)}\cdots(i)[/tex]

Let at time [tex]t_1[/tex], the ball was at the goalie, so, [tex]h(t_1)=0[/tex], and at the time [tex]t_2[/tex], the ball was intercepted, so, [tex]h(t_2)=11[/tex].

Now, the time to reach the player after the goalie kicks the ball

[tex]\Delta t=t_2-t_1[/tex]

By using equation (i)

[tex]\Delta t=(\pm\sqrt{4-0.1h(t_2)})-\left(\pm\sqrt{4-0.1h(t_1)}\right)\cdots(ii)[/tex]

Now, at the highest point, the slope of the graph must be zero.

So, [tex]\frac {dh(t)}{dt}=0[/tex]

[tex]\Rightarrow -20t=0[/tex]

[tex]\Rightarrow t=0[/tex]

As at the highest point, the time is zero, to before reaching the highest point ( when kikes by the goalie, [tex]t_1[/tex]) take the time with the negative sign and after the highest point (when the ball intercepted, [tex]t_2[/tex]) take the positive sign.

So, from equation (ii) become.

[tex]\Delta t=\sqrt{4-0.1\times 11}-\left(-\sqrt{4-0.1\times 0} \right)[/tex]

[tex]=\sqrt{3.9}-(-\sqrt 4)[/tex]

[tex]=1.98+2[/tex]

= 3.98 seconds

Hence, the time to reach the ball to the player after the goalie kicks the ball is 3.98 seconds.

If we perform the vertical line test, we can see that every line touches the graph once. This means that the graph is a graph of a function.

Answer choice b is correct.

Answer:

The line would be a diagonal line that is negative(pointing down).

You can use Desmos Graphing Calculator to help you even more! :)

Answer:

4/6

Step-by-step explanation:

[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given to points to us are :-

Now , we can use Distance Formula , which is :-

[tex]\boxed{\purple{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]

Here ,

→ Substituting the respective values ,

⇒ Distance = √ [ ( 6 - 1)² + ( 3 +9)² ] .

⇒ Distance = √ 5² + 12²

⇒ Distance = √ 25 + 144

⇒ Distance = √ 169 .

⇒ Distance = 13 units .

Hence the distance between two points is 13u.

Answer:

4

Step-by-step explanation:

The y-intercept of any given graph is always the value of the y of the point where the line of the graph intercepts or cut across the y-axis. It is the value of y when x = 0.

In this case, the y-intercept of the line of the graph above is y = 4. At y = 4, x = 0.

It represents the flat fee the company charges for packaging the baskets = $4.

Answer:

x=2 y=3

Step-by-step explanation:

3x=6

2y=6

x=2

y=3

Answer:

(2, 4, 3)

Step-by-step explanation:

Range = Y

Answer:

a) 4.47

b) 4.47 g

Step-by-step explanation:

The masses of the birds are given as;

The mass of the robin =76.58 grams.

The mass of the blue jay = 81.05 grams.

Difference in the masses of the birds is : 81.05 - 76.58 =4.47

Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g

Answer:

10

Step-by-step explanation:

Answer:

Would it be 25 that’s what I got

Step-by-step explanation: