What is the equation in slope-intercept form of the
line that passes through the points (-4,2) and
(12, 6)?

Answer:

The maximum height the soccer ball reaches is 9.77 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second.

The formula for the height is:

[tex]h(t) = -16t^2 + v(0)t + h(0)[/tex]

In which v(0) is the initial velocity and s(0) is the initial height.

Initial velocity of 25 feet per second means that [tex]v(0) = 25[/tex]

Kicked off the ground means that [tex]h(0) = 0[/tex]. So

[tex]h(t) = -16t^2 + 25t[/tex]

Which is a quadratic equation with [tex]a = -16, b = 25, c = 0[/tex].

The maximum value is:

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

In which

[tex]\Delta = b^2-4ac = 25^2 - 4(-16)(0) = 625[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = \frac{625}{4(16)} = 9.77[/tex]

The maximum height the soccer ball reaches is 9.77 feet.

Answer:

A. Weather conditions

Step-by-step explanation:

Answer:

g(t) = 0; solve for t

Step-by-step explanation:

Given

Options (a) to (e)

Required

Which of the options is true

From the question, we understand that: g(t) represents hare's time to complete the race

At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.

Take for instance:

[tex]g(t) = 10 - t[/tex]

The time to complete the race is: g(t) = 0

So, we have:

[tex]0 = 10 - t[/tex]

Collect like terms

[tex]t = 10[/tex]

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).

Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Find out more on Linear equation at: https://brainly.com/question/13763238

Answer:

C

Step-by-step explanation:

Answer:

perimeter for rectangle: (x-2+x+2)×2=4x

perimeter for triangle : 2x-8+2x-8+x+6

=5x-10

The question said both geometry has same perimeter,so we have equation :

4x=5x-10

=>x= 10

put x in triangle's perimeter: 2×10-8+2×10-8+10+6

= 40

Step-by-step explanation:

the answer is C, hope you understand it

Answer:

A

Step-by-step explanation:

-8 + (-10) = -8 -10

the answer is I don't know

Answer:

The scale factor is k = 4.

Step-by-step explanation:

In the graph, we can see that g(x) is a dilation from f(x)

And a general vertical dilation of scale factor k is written as:

g(x) = k*f(x)

So here we want to find the value of k.

In the graph, we can see that:

f(1) = 1.5

f(3) = 0.5

Now, the values of g(x) in those x-values are:

g(1) = 6

g(3) = 2

And we must have:

g(1) = k*f(1)

g(3) = k*f(3)

we should get the same value of k in both equations, now let's replace the values of the functions:

For the ones evaluated in x = 1, we get:

6 = k*1.5

6/1.5 = k = 4

for the cases evaluated in x = 3, we get:

2 = k*0.5

2/0.5 = k = 4

In both cases we got the same value of k, so we can conclude that the scale factor from f(x) into g(x) is k = 4

Answer: 128.5km

Step-by-step explanation:

Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:

= 50% × 257km

= 50/100 × 257km

= 0.5 × 257km

= 128.5km

Therefore, 50% of the distance is 128.5km.

9514 1404 393

Answer:

  12/x^5

Step-by-step explanation:

The fractions are multiplied in the usual way. The applicable rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

__

  [tex]\dfrac{3}{x^2}\cdot\dfrac{4}{x^3}=\dfrac{3\cdot4}{x^2\cdot x^3}=\dfrac{12}{x^{2+3}}=\boxed{\dfrac{12}{x^5}}[/tex]

Answer:

a rectangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle 3 and angle 4 are co interior angles.so,

angle 3+angle 4=180 degree

sum of co interior angle is always 180 degree.

Answer: Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary

Step-by-step explanation:

It should be noted that Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary.

For example, if angle 3 is 60°, the value of angle 5 will be:

= 180° - 60°

= 120°

Answer:

23/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify and set up

4 + -2 ÷ -3 + 3

Step 2: Evaluate

Answer:

The zeroes are at (-2, 0), (0, 0) and (2, 0).

The (0, 0) is a double root as the graph just touches the x axis at (0, 0).

The zero at (0, 0) is sometimes referred as  x = 0 (multiplicity 2).

I think the duplicate roots are counted as 2 distinct roots but im not sure.

So the answer is either a or c.

Step-by-step explanation:

The zeroes are the points where the graph cuts the x axis.

Answer:

a

Step-by-step explanation:

Answer:

B. 1 6/10

Step-by-step explanation:

”How many more” means find the difference.
So first you convert the fractions:

5 7/10= 57/10

7 3/10=73/10

Subtract the two converted fractions and you get a difference of 16/10 then you will simply 16/10, which becomes 1 6/10.

Answer:

6 inches..

Step-by-step explanation:

11 inches of wires : 44 cents

1 inch of wire: 4 cents

4 * 6 = 24

Then,

6 inch of wire costs 26 cents.

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Answer: d

Step-by-step explanation:

Answer:

Lol i get like that too. This is 10

Step-by-step explanation:

4+5=9

1/2+1/2=1

9+1=10

Answer:

12 [tex]x[/tex]

Step-by-step explanation:

8 divided by two-thirds of x is

⇒ 8/2/3 × [tex]x[/tex]

⇒ 8 × (3/2) [tex]x[/tex]

⇒ 8×3 [tex]x[/tex] / 2

⇒ 24 [tex]x[/tex]/ 2

∴ 12 [tex]x[/tex]

Answer:

check below :)

Step-by-step explanation:

first, make a table of values

then graph each value and see where do they connect. if they dont connect there is no solution

the point where they connect is the solution to the system

for number 3 the solution is (3,2)

for number 4 its (-6.5, -2.5)

Answer:

Above is correct

Step-by-step explanation:

Answer: A B

Step-by-step explanation: I need one more brainliest for next rank I’d appreciate it

Answer:

326.56 in².

Step-by-step explanation:

Mathematics: Define/explain.

SURFACE AREA: The measure of the total area that an object occupies.

The formula for finding the surface area for a cylinder is:

[tex]SA=2\pi r^2+2\pi rh[/tex]

[tex]r-radius[/tex]

[tex]h-height[/tex]

Mathematics: Solve.

According to the image, the cylinder has a height of 9 inches and a base radius of 4 inches.

Now, we can plug the numbers into the formula.

[tex]SA=2\pi 4^2+2\pi4*9- (2*3.14*4*4)+(2*3.14*4*9)=326.56.[/tex]

Mathematics: Conclude.

Therefore, the surface area of this cylinder is 356.56 in².

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

(5 x 20) + (8 x 10) =

100 + 80 =

180

Answer:

copy and paste your question into brainly

Welcome C;

Mark brainiest ez

Answer:

A. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter .

B. All triangles have three medians, which, when drawn, will intersect at one point in the interior of the triangle called the centroid

C. A point where three or more lines intersect is called a point of concurrency.

D. The three altitudes of a triangle intersect at the orthocenter,

Step-by-step explanation:

draw the net

there are 3 squares, each with a L = 5m and W = 1.5 +1.5m

2 triangles with a base of 1.5 + 1.5 and a height of 2.6m

Area of a rectangle = L x W

" " Triangle = 0.5 x b x h

so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)

also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive